Details

analyze82.0ms

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%	50%	25.1%	6
25%	31.2%	43.8%	7
25%	21.9%	53.2%	8
25%	14%	61%	9
28.1%	10.9%	61%	10
31.6%	7.4%	61%	11
33.4%	5.7%	61%	12
35.2%	3.8%	61%	13
36.1%	2.9%	61%	14

sample18.0ms

Algorithm

intervals

Results

11.0ms	256×	body	80	valid
0.0ms	1×	body	80	invalid

simplify74.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5308	25

prune3.0ms

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

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 a a) (.f64 b b))
0.0b	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (.f64 b b)))
0.0b	(.f64 4 (.f64 b b))
0.3b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 63

Calls

4 calls:

6.0ms	(+.f64 (.f64 a a) (.f64 b b))
11.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (.f64 b b)))
7.0ms	(.f64 4 (.f64 b b))
7.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

series794.0ms

Counts

4 → 12

Calls

4 calls:

146.0ms	(+.f64 (.f64 a a) (.f64 b b))
237.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (.f64 b b)))
120.0ms	(.f64 4 (.f64 b b))
292.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	5413	2619
0	109	9
1	109	9
0	5413	2619
0	109	9
1	109	9
0	1	3
1	1	3
0	38	1917
1	38	1917
0	92	9
1	92	9
0	38	1917
1	38	1917
0	92	9
1	92	9
0	1	3
1	1	3
0	5859	2700
0	131	9
1	131	9
0	5859	2700
0	131	9
1	131	9
0	1	3
1	1	3
0	21	2556
1	21	2556
0	40	9
1	40	9
0	21	2556
1	21	2556
0	40	9
1	40	9
0	1	3
1	1	3

simplify83.0ms

Counts

75 → 75

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5020	982

prune67.0ms

Filtered

53 candidates to 75 candidates (-41.5%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	70	5	75
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	71	5	76

Merged error: 0.1b

Counts

76 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
0.3b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
13.6b	(sqrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 (.f64 b b) 4)))
13.6b	(sqrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 (.f64 b b) 4)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt_binary64`
10×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
8×	`pow1_binary64`
6×	`pow-unpow_binary64` `add-exp-log_binary64` `unpow-prod-down_binary64` `sqrt-prod_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `insert-posit16` `sqrt-div_binary64`
2×	`pow-to-exp_binary64` `flip3-+_binary64` `pow1/2_binary64` `unpow2_binary64` `pow-pow_binary64` `sqr-pow_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `flip-+_binary64` `pow-exp_binary64`

Counts

4 → 70

Calls

4 calls:

7.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
7.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
10.0ms	(sqrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 (.f64 b b) 4)))
10.0ms	(sqrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 (.f64 b b) 4)))

series1.1s

Counts

4 → 12

Calls

4 calls:

289.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
291.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
240.0ms	(sqrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 (.f64 b b) 4)))
238.0ms	(sqrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 (.f64 b b) 4)))

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	5874	2718
0	139	9
1	139	9
0	5874	2718
0	139	9
1	139	9
0	1	3
1	1	3
0	5874	2718
0	139	9
1	139	9
0	5874	2718
0	139	9
1	139	9
0	1	3
1	1	3
0	5413	2619
0	109	9
1	109	9
0	5413	2619
0	109	9
1	109	9
0	1	3
1	1	3
0	5413	2619
0	109	9
1	109	9
0	5413	2619
0	109	9
1	109	9
0	1	3
1	1	3

simplify103.0ms

Counts

82 → 82

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	6037	1564

prune100.0ms

Filtered

54 candidates to 82 candidates (-51.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	79	3	82
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	79	8	87

Merged error: 0.1b

Counts

87 → 8

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b	(.f64 (fabs.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 (.f64 b b) 4)))) (sqrt.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 (*.f64 b b) 4)))))
13.6b	(sqrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 (.f64 b b) 4)))
14.3b	(cbrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 (.f64 b b) 4)))
14.3b	(cbrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 (.f64 b b) 4)))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt_binary64`
11×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `sqrt-prod_binary64`
10×	`cbrt-prod_binary64`
9×	`associate-r_binary64`
8×	`cbrt-div_binary64`
7×	`pow1_binary64`
6×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `sqrt-div_binary64`
5×	`flip3-+_binary64` `flip-+_binary64`
4×	`add-log-exp_binary64` `insert-posit16`
3×	`associate-l_binary64` `unswap-sqr_binary64`
2×	`associate-*r/_binary64` `pow1/3_binary64` `consolidate-mult-outside_binary64`
1×	`pow-prod-down_binary64` `pow1/2_binary64` `cbrt-unprod_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

4 → 75

Calls

4 calls:

20.0ms	(.f64 (fabs.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 (.f64 b b) 4)))) (sqrt.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 (*.f64 b b) 4)))))
11.0ms	(sqrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 (.f64 b b) 4)))
10.0ms	(cbrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 (.f64 b b) 4)))
10.0ms	(cbrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 (.f64 b b) 4)))

series955.0ms

Counts

4 → 12

Calls

4 calls:

246.0ms	(.f64 (fabs.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 (.f64 b b) 4)))) (sqrt.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 (*.f64 b b) 4)))))
242.0ms	(sqrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 (.f64 b b) 4)))
232.0ms	(cbrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 (.f64 b b) 4)))
234.0ms	(cbrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 (.f64 b b) 4)))

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	5874	2718
0	30	9
1	30	9
0	5874	2718
0	30	9
1	30	9
0	1	3
1	1	3
0	5874	2718
0	30	9
1	30	9
0	5874	2718
0	30	9
1	30	9
0	1	3
1	1	3
0	5874	2718
0	139	9
1	139	9
0	5874	2718
0	139	9
1	139	9
0	1	3
1	1	3
0	5882	3024
0	55	9
1	55	9
0	5882	3024
0	55	9
1	55	9
0	1	3
1	1	3

simplify111.0ms

Counts

87 → 87

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4957	3335
1	4957	3335

prune194.0ms

Filtered

66 candidates to 87 candidates (-31.8%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	83	4	87
Fresh	2	4	6
Picked	1	0	1
Done	0	1	1
Total	86	9	95

Merged error: 0.0b

Counts

95 → 9

localize27.0ms

Local error

Found 4 expressions with local error:

13.6b	(sqrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 (.f64 b b) 4)))
14.3b	(cbrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 (.f64 b b) 4)))
14.3b	(cbrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 (.f64 b b) 4)))
14.3b	(cbrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 (.f64 b b) 4)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt_binary64` `cbrt-prod_binary64`
8×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
6×	`cbrt-div_binary64`
5×	`pow1_binary64`
4×	`flip3-+_binary64` `add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `insert-posit16` `flip-+_binary64`
3×	`pow1/3_binary64` `sqrt-prod_binary64`
2×	`sqrt-div_binary64`
1×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64`

Counts

4 → 58

Calls

4 calls:

9.0ms	(sqrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 (.f64 b b) 4)))
10.0ms	(cbrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 (.f64 b b) 4)))
10.0ms	(cbrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 (.f64 b b) 4)))
10.0ms	(cbrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 (.f64 b b) 4)))

series956.0ms

Counts

4 → 12

Calls

4 calls:

245.0ms	(sqrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 (.f64 b b) 4)))
236.0ms	(cbrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 (.f64 b b) 4)))
237.0ms	(cbrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 (.f64 b b) 4)))
237.0ms	(cbrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 (.f64 b b) 4)))

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	5874	2718
0	30	9
1	30	9
0	5874	2718
0	30	9
1	30	9
0	1	3
1	1	3
0	5874	2718
0	30	9
1	30	9
0	5874	2718
0	30	9
1	30	9
0	1	3
1	1	3
0	5874	2718
0	30	9
1	30	9
0	5874	2718
0	30	9
1	30	9
0	1	3
1	1	3
0	5874	2718
0	139	9
1	139	9
0	5874	2718
0	139	9
1	139	9
0	1	3
1	1	3

simplify92.0ms

Counts

70 → 70

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5082	2026

prune189.0ms

Filtered

56 candidates to 70 candidates (-25.0%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	69	1	70
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	69	10	79

Merged error: 0.0b

Counts

79 → 10

regimes141.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	29	53
1	29	53

end0.0ms

sample489.0ms

Algorithm

intervals

Results

355.0ms	8000×	body	80	valid
0.0ms	4×	body	80	invalid

Details

analyze82.0ms

sample18.0ms

simplify74.0ms

prune3.0ms

localize10.0ms

rewrite32.0ms

series794.0ms

simplify83.0ms

prune67.0ms

localize13.0ms

rewrite35.0ms

series1.1s

simplify103.0ms

prune100.0ms

localize17.0ms

rewrite52.0ms

series955.0ms

simplify111.0ms

prune194.0ms

localize27.0ms

rewrite41.0ms

series956.0ms

simplify92.0ms

prune189.0ms

regimes141.0ms

bsearch0.0ms

simplify7.0ms

end0.0ms

sample489.0ms

Profiling