Details

analyze107.0ms

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
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
37.5%	62.4%	0.1%	6
50%	46.8%	3.2%	7
56.2%	37.5%	6.3%	8
62.4%	25.8%	11.8%	9
65.6%	20.3%	14.1%	10
68.7%	13.5%	17.9%	11
70.2%	10.5%	19.2%	12
71.8%	6.9%	21.3%	13
72.6%	5.4%	22%	14

sample14.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
0.0ms	12×	body	80	invalid

simplify120.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (105.0ms)

Iter	Nodes	Cost
0	4910	16
1	4910	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: 5.0b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(*.f64 (-.f64 1 x) (-.f64 3 x))
4.7b	(/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) (.f64 y 3))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
12×	`flip3--_binary64` `flip--_binary64`
11×	`add-sqr-sqrt_binary64`
9×	`*-un-lft-identity_binary64`
8×	`associate-/l/_binary64` `frac-times_binary64`
6×	`associate-l_binary64`
5×	`cbrt-unprod_binary64` `associate-r_binary64` `prod-exp_binary64`
4×	`pow1_binary64` `cbrt-undiv_binary64` `associate-r/_binary64` `add-cube-cbrt_binary64` `div-exp_binary64` `associate-l/_binary64`
3×	`difference-of-squares_binary64`
2×	`add-log-exp_binary64` `sub-neg_binary64` `distribute-lft-out--_binary64` `insert-posit16`
1×	`pow-prod-down_binary64` `associate-/r_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `times-frac_binary64` `div-inv_binary64` `*-commutative_binary64`

Counts

2 → 64

Calls

2 calls:

12.0ms	(*.f64 (-.f64 1 x) (-.f64 3 x))
16.0ms	(/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) (.f64 y 3))

series667.0ms

Counts

2 → 6

Calls

2 calls:

540.0ms	(*.f64 (-.f64 1 x) (-.f64 3 x))
127.0ms	(/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) (.f64 y 3))

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	831	9
1	831	9
0	831	9
1	831	9
0	1	3
1	1	3
0	7880	9
1	7880	9
0	7880	9
1	7880	9
0	1	3
1	1	3

simplify93.0ms

Counts

70 → 70

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	5238	1033

prune66.0ms

Filtered

50 candidates to 70 candidates (-40.0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	66	4	70
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	67	4	71

Merged error: 0.0b

Counts

71 → 4

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 3 x) 3)
0.0b	(/.f64 (-.f64 1 x) y)
0.1b	(*.f64 (/.f64 (-.f64 1 x) y) (/.f64 (-.f64 3 x) 3))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

90×	`add-sqr-sqrt_binary64`
78×	`*-un-lft-identity_binary64`
70×	`times-frac_binary64`
43×	`add-cube-cbrt_binary64`
22×	`associate-l_binary64`
21×	`difference-of-squares_binary64`
19×	`associate-r_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
14×	`distribute-lft-out--_binary64`
11×	`associate-/l*_binary64`
6×	`associate-/r*_binary64` `cbrt-undiv_binary64` `div-exp_binary64`
5×	`pow1_binary64`
4×	`associate-/l/_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-inv_binary64`
3×	`add-log-exp_binary64` `insert-posit16`
2×	`flip3--_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `flip--_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `frac-times_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

3 → 148

Calls

3 calls:

7.0ms	(/.f64 (-.f64 3 x) 3)
8.0ms	(/.f64 (-.f64 1 x) y)
27.0ms	(*.f64 (/.f64 (-.f64 1 x) y) (/.f64 (-.f64 3 x) 3))

series1.2s

Counts

3 → 9

Calls

3 calls:

912.0ms	(/.f64 (-.f64 3 x) 3)
151.0ms	(/.f64 (-.f64 1 x) y)
174.0ms	(*.f64 (/.f64 (-.f64 1 x) y) (/.f64 (-.f64 3 x) 3))

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	1472	9
1	1472	9
0	1472	9
1	1472	9
0	1	3
1	1	3
0	1214	9
1	1214	9
0	1214	9
1	1214	9
0	1	3
1	1	3
0	24991	9
1	24991	9
0	24991	9
1	24991	9
0	1	3
1	1	3

simplify110.0ms

Counts

157 → 157

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	5066	2420

prune129.0ms

Filtered

114 candidates to 157 candidates (-37.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	155	2	157
Fresh	1	2	3
Picked	0	1	1
Done	0	0	0
Total	156	5	161

Merged error: 0b

Counts

161 → 5

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 1 x) y)
0.1b	(.f64 (/.f64 (-.f64 1 x) y) (.f64 (-.f64 3 x) 1/3))
0.1b	(*.f64 (-.f64 3 x) 1/3)

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

51×	`add-sqr-sqrt_binary64`
49×	`*-un-lft-identity_binary64`
36×	`times-frac_binary64`
27×	`associate-l_binary64`
26×	`add-cube-cbrt_binary64`
19×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
15×	`difference-of-squares_binary64`
10×	`pow1_binary64`
8×	`distribute-lft-out--_binary64`
7×	`cbrt-unprod_binary64` `prod-exp_binary64` `associate-*l/_binary64`
6×	`associate-/l*_binary64`
4×	`pow-prod-down_binary64` `flip3--_binary64` `associate-r_binary64` `flip--_binary64`
3×	`associate-/r*_binary64` `add-log-exp_binary64` `cbrt-undiv_binary64` `div-exp_binary64` `insert-posit16`
2×	`associate-/l/_binary64` `associate-r/_binary64` `div-inv_binary64` `frac-times_binary64` `-commutative_binary64`
1×	`unswap-sqr_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64`

Counts

3 → 113

Calls

3 calls:

8.0ms	(/.f64 (-.f64 1 x) y)
17.0ms	(.f64 (/.f64 (-.f64 1 x) y) (.f64 (-.f64 3 x) 1/3))
11.0ms	(*.f64 (-.f64 3 x) 1/3)

series782.0ms

Counts

3 → 9

Calls

3 calls:

152.0ms	(/.f64 (-.f64 1 x) y)
173.0ms	(.f64 (/.f64 (-.f64 1 x) y) (.f64 (-.f64 3 x) 1/3))
457.0ms	(*.f64 (-.f64 3 x) 1/3)

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	5469	9
1	5469	9
0	5469	9
1	5469	9
0	1	3
1	1	3
0	1444	9
1	1444	9
0	1444	9
1	1444	9
0	1	3
1	1	3
0	1214	9
1	1214	9
0	1214	9
1	1214	9
0	1	3
1	1	3

simplify105.0ms

Counts

122 → 122

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4954	1686
1	4954	1686

prune88.0ms

Filtered

88 candidates to 122 candidates (-38.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	122	5	127

Merged error: 0b

Counts

127 → 5

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b	(/.f64 (-.f64 1 x) (/.f64 (*.f64 3 y) (-.f64 3 x)))
0.2b	(/.f64 (*.f64 3 y) (-.f64 3 x))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

106×	`times-frac_binary64`
84×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
33×	`difference-of-squares_binary64`
30×	`add-cube-cbrt_binary64`
21×	`distribute-lft-out--_binary64`
17×	`associate-/r/_binary64`
16×	`associate-/r*_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`flip3--_binary64` `div-inv_binary64` `flip--_binary64`
7×	`cbrt-undiv_binary64` `associate-/l*_binary64` `div-exp_binary64`
2×	`associate-/l/_binary64` `add-log-exp_binary64` `pow1_binary64` `cbrt-unprod_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `insert-posit16`
1×	`div-sub_binary64`

Counts

2 → 132

Calls

2 calls:

15.0ms	(/.f64 (-.f64 1 x) (/.f64 (*.f64 3 y) (-.f64 3 x)))
8.0ms	(/.f64 (*.f64 3 y) (-.f64 3 x))

series1.1s

Counts

2 → 6

Calls

2 calls:

204.0ms	(/.f64 (-.f64 1 x) (/.f64 (*.f64 3 y) (-.f64 3 x)))
943.0ms	(/.f64 (*.f64 3 y) (-.f64 3 x))

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	28425	9
0	28425	9
0	1	3
1	1	3
0	1933	9
1	1933	9
0	1933	9
1	1933	9
0	1	3
1	1	3

simplify117.0ms

Counts

138 → 138

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4979	3174
1	4979	3174

prune101.0ms

Filtered

92 candidates to 138 candidates (-50.0%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	138	0	138
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	138	5	143

Merged error: 0b

Counts

143 → 5

regimes35.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify8.0ms

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	24	16
1	24	16

end0.0ms

sample382.0ms

Algorithm

intervals

Results

240.0ms	8000×	body	80	valid
9.0ms	319×	body	80	invalid

Details

analyze107.0ms

sample14.0ms

simplify120.0ms

prune2.0ms

localize7.0ms

rewrite31.0ms

series667.0ms

simplify93.0ms

prune66.0ms

localize7.0ms

rewrite49.0ms

series1.2s

simplify110.0ms

prune129.0ms

localize7.0ms

rewrite41.0ms

series782.0ms

simplify105.0ms

prune88.0ms

localize7.0ms

rewrite31.0ms

series1.1s

simplify117.0ms

prune101.0ms

regimes35.0ms

bsearch0.0ms

simplify8.0ms

end0.0ms

sample382.0ms

Profiling