Details

analyze143.0ms

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
25%	68.7%	6.3%	6
25%	56.2%	18.8%	7
25%	48.4%	26.6%	8
25%	35.1%	39.9%	9
28.1%	18.3%	53.6%	10
31.6%	12.3%	56.1%	11
33.4%	5.9%	60.8%	12
35.2%	3.8%	61%	13
36.1%	2.9%	61%	14

sample24.0ms

Algorithm

intervals

Results

16.0ms

256×

body

valid

simplify73.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4975	46
1	4975	46

prune4.0ms

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

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a))))))
0.0b	(.f64 (.f64 a a) (+.f64 1 a))
0.3b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
0.5b	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

15×	`pow1_binary64` `add-exp-log_binary64`
14×	`add-cbrt-cube_binary64`
10×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
8×	`add-cube-cbrt_binary64`
7×	`associate-r_binary64`
6×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
4×	`associate-*r/_binary64` `insert-posit16`
3×	`pow-unpow_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unpow-prod-down_binary64`
2×	`flip3-+_binary64` `sub-neg_binary64` `associate-l_binary64` `unswap-sqr_binary64` `flip-+_binary64` `associate-+r+_binary64` `*-commutative_binary64`
1×	`pow-to-exp_binary64` `flip3--_binary64` `distribute-lft-out_binary64` `unpow2_binary64` `pow-pow_binary64` `sqr-pow_binary64` `+-commutative_binary64` `flip--_binary64` `pow-exp_binary64` `sum-log_binary64`

Counts

4 → 82

Calls

4 calls:

11.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a))))))
10.0ms	(.f64 (.f64 a a) (+.f64 1 a))
6.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
12.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))

series1.3s

Counts

4 → 12

Calls

4 calls:

488.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a))))))
196.0ms	(.f64 (.f64 a a) (+.f64 1 a))
239.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
415.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))

Iterations

Useful iterations: 0 (200.0ms)

Iter	Nodes	Cost
0	324	327
1	324	327
0	26	23
1	26	23
0	324	327
1	324	327
0	26	23
1	26	23
0	4690	3
1	4690	3
0	371	621
1	371	621
0	12	9
1	12	9
0	371	621
1	371	621
0	12	9
1	12	9
0	1	3
1	1	3
0	297	441
1	297	441
0	35	36
1	35	36
0	297	441
1	297	441
0	35	36
1	35	36
0	45	3
1	45	3
0	725	1377
1	725	1377
0	113	525
1	113	525
0	725	1377
1	725	1377
0	113	525
1	113	525
0	5133	3

simplify152.0ms

Counts

94 → 94

Iterations

Useful iterations: 0 (120.0ms)

Iter	Nodes	Cost
0	4951	1706
1	4951	1706

prune120.0ms

Filtered

64 candidates to 94 candidates (-46.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	88	6	94
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	88	7	95

Merged error: 0.1b

Counts

95 → 7

localize25.0ms

Local error

Found 4 expressions with local error:

0.5b	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
23.7b	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))
23.7b	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))
23.7b	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

24×	`cbrt-prod_binary64`
12×	`add-sqr-sqrt_binary64`
11×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
9×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `unpow-prod-down_binary64`
4×	`add-log-exp_binary64` `insert-posit16`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-r_binary64` `unpow2_binary64` `pow1/3_binary64` `sqr-pow_binary64` `prod-exp_binary64`
2×	`sub-neg_binary64` `associate-*r/_binary64`
1×	`flip3--_binary64` `distribute-lft-in_binary64` `associate-l_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `flip--_binary64` `*-commutative_binary64`

Counts

4 → 75

Calls

4 calls:

10.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
6.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))
6.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))
6.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))

series2.2s

Counts

4 → 12

Calls

4 calls:

418.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
580.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))
569.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))
585.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))

Iterations

Useful iterations: 0 (203.0ms)

Iter	Nodes	Cost
0	112	1761
1	112	1761
0	4890	1643
1	4890	1643
0	112	1761
1	112	1761
0	4890	1643
1	4890	1643
0	4761	20
1	4761	20
0	112	1761
1	112	1761
0	4890	1643
1	4890	1643
0	112	1761
1	112	1761
0	4890	1643
1	4890	1643
0	4761	20
1	4761	20
0	112	1761
1	112	1761
0	4890	1643
1	4890	1643
0	112	1761
1	112	1761
0	4890	1643
1	4890	1643
0	4761	20
1	4761	20
0	324	327
1	324	327
0	26	23
1	26	23
0	324	327
1	324	327
0	26	23
1	26	23
0	4690	3
1	4690	3

simplify173.0ms

Counts

87 → 87

Iterations

Useful iterations: 0 (143.0ms)

Iter	Nodes	Cost
0	4913	1544
1	4913	1544

prune165.0ms

Filtered

63 candidates to 87 candidates (-38.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	83	4	87
Fresh	2	3	5
Picked	1	0	1
Done	0	1	1
Total	86	8	94

Merged error: 0.0b

Counts

94 → 8

localize32.0ms

Local error

Found 4 expressions with local error:

11.2b	(cbrt.f64 (+.f64 (.f64 b b) (.f64 a a)))
16.6b	(cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 b b) (.f64 a a))) 4))
23.7b	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))
23.7b	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

32×	`cbrt-prod_binary64`
12×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `unpow-prod-down_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`
3×	`sqr-pow_binary64`
2×	`cbrt-div_binary64` `unpow2_binary64`
1×	`flip3-+_binary64` `flip-+_binary64`

Counts

4 → 67

Calls

4 calls:

5.0ms	(cbrt.f64 (+.f64 (.f64 b b) (.f64 a a)))
7.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 b b) (.f64 a a))) 4))
6.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))
7.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))

series2.0s

Counts

4 → 12

Calls

4 calls:

360.0ms	(cbrt.f64 (+.f64 (.f64 b b) (.f64 a a)))
495.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 b b) (.f64 a a))) 4))
582.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))
578.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))

Iterations

Useful iterations: 0 (196.0ms)

Iter	Nodes	Cost
0	112	1761
1	112	1761
0	4890	1643
1	4890	1643
0	112	1761
1	112	1761
0	4890	1643
1	4890	1643
0	4761	20
1	4761	20
0	112	1761
1	112	1761
0	4890	1643
1	4890	1643
0	112	1761
1	112	1761
0	4890	1643
1	4890	1643
0	4761	20
1	4761	20
0	128	1782
1	128	1782
0	4622	1664
1	4622	1664
0	128	1782
1	128	1782
0	4622	1664
1	4622	1664
0	4729	26
1	4729	26
0	99	1737
1	99	1737
0	167	1602
1	167	1602
0	99	1737
1	99	1737
0	167	1602
1	167	1602
0	4907	40
1	4907	40

simplify87.0ms

Counts

79 → 79

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4873	1603
1	4873	1603

prune207.0ms

Filtered

63 candidates to 79 candidates (-25.4%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	75	4	79
Fresh	0	6	6
Picked	1	0	1
Done	0	1	1
Total	76	11	87

Merged error: 0.0b

Counts

87 → 11

localize25.0ms

Local error

Found 4 expressions with local error:

11.2b	(cbrt.f64 (+.f64 (.f64 b b) (.f64 a a)))
11.2b	(cbrt.f64 (+.f64 (.f64 b b) (.f64 a a)))
23.7b	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))
23.7b	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

22×	`cbrt-prod_binary64`
10×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
6×	`unpow-prod-down_binary64`
4×	`cbrt-div_binary64` `add-log-exp_binary64` `pow1_binary64` `pow1/3_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `insert-posit16`
2×	`flip3-+_binary64` `unpow2_binary64` `sqr-pow_binary64` `flip-+_binary64`

Counts

4 → 62

Calls

4 calls:

5.0ms	(cbrt.f64 (+.f64 (.f64 b b) (.f64 a a)))
5.0ms	(cbrt.f64 (+.f64 (.f64 b b) (.f64 a a)))
6.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))
6.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))

series1.9s

Counts

4 → 12

Calls

4 calls:

358.0ms	(cbrt.f64 (+.f64 (.f64 b b) (.f64 a a)))
362.0ms	(cbrt.f64 (+.f64 (.f64 b b) (.f64 a a)))
585.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))
584.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))

Iterations

Useful iterations: 0 (199.0ms)

Iter	Nodes	Cost
0	112	1761
1	112	1761
0	4890	1643
1	4890	1643
0	112	1761
1	112	1761
0	4890	1643
1	4890	1643
0	4761	20
1	4761	20
0	112	1761
1	112	1761
0	4890	1643
1	4890	1643
0	112	1761
1	112	1761
0	4890	1643
1	4890	1643
0	4761	20
1	4761	20
0	99	1737
1	99	1737
0	167	1602
1	167	1602
0	99	1737
1	99	1737
0	167	1602
1	167	1602
0	4907	40
1	4907	40
0	99	1737
1	99	1737
0	167	1602
1	167	1602
0	99	1737
1	99	1737
0	167	1602
1	167	1602
0	4907	40
1	4907	40

simplify162.0ms

Counts

74 → 74

Iterations

Useful iterations: 0 (132.0ms)

Iter	Nodes	Cost
0	4882	1380
1	4882	1380

prune140.0ms

Filtered

60 candidates to 74 candidates (-23.3%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	73	1	74
Fresh	1	8	9
Picked	0	1	1
Done	0	1	1
Total	74	11	85

Merged error: 0.0b

Counts

85 → 11

regimes211.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify8.0ms

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	71	46
1	71	46

end0.0ms

sample661.0ms

Algorithm

intervals

Results

525.0ms	8000×	body	80	valid
1.0ms	8×	body	80	invalid

Details

analyze143.0ms

sample24.0ms

simplify73.0ms

prune4.0ms

localize18.0ms

rewrite42.0ms

series1.3s

simplify152.0ms

prune120.0ms

localize25.0ms

rewrite30.0ms

series2.2s

simplify173.0ms

prune165.0ms

localize32.0ms

rewrite27.0ms

series2.0s

simplify87.0ms

prune207.0ms

localize25.0ms

rewrite24.0ms

series1.9s

simplify162.0ms

prune140.0ms

regimes211.0ms

bsearch0.0ms

simplify8.0ms

end0.0ms

sample661.0ms

Profiling