Details

analyze3.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	25%	25%	4
62.5%	12.5%	25%	5
68.7%	6.2%	25%	6
71.8%	3.1%	25%	7
73.4%	1.6%	25%	8
74.2%	0.8%	25%	9
74.6%	0.4%	25%	10
74.8%	0.2%	25%	11
74.9%	0.1%	25%	12
74.9%	0%	25.1%	13
74.9%	0%	25.1%	14

sample11.0ms

Algorithm

intervals

Results

5.0ms	234×	body	80	valid
1.0ms	6×	body	1280	valid
1.0ms	7×	body	640	valid
0.0ms	4×	body	320	valid
0.0ms	5×	body	160	valid

simplify56.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	396	10
1	396	10

prune3.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.2b

Counts

2 → 2

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(-.f64 6 (*.f64 x 9))
0.1b	(.f64 x (-.f64 6 (.f64 x 9)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 35

Calls

2 calls:

4.0ms	(-.f64 6 (*.f64 x 9))
7.0ms	(.f64 x (-.f64 6 (.f64 x 9)))

series118.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(-.f64 6 (*.f64 x 9))
62.0ms	(.f64 x (-.f64 6 (.f64 x 9)))

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	238	9
1	238	9
0	238	9
1	238	9
0	1	3
1	1	3
0	172	9
1	172	9
0	172	9
1	172	9
0	1	3
1	1	3

simplify74.0ms

Counts

41 → 41

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5499	435

prune36.0ms

Filtered

30 candidates to 41 candidates (-36.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	35	6	41
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	36	7	43

Merged error: 0.0b

Counts

43 → 7

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 36 (.f64 (.f64 x x) 81))
0.1b	(.f64 x (/.f64 (-.f64 36 (.f64 (.f64 x x) 81)) (+.f64 6 (.f64 x 9))))
0.2b	(/.f64 (-.f64 36 (.f64 (.f64 x x) 81)) (+.f64 6 (*.f64 x 9)))
0.2b	(.f64 (.f64 x x) 81)

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt_binary64`
21×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
19×	`times-frac_binary64`
18×	`associate-r_binary64`
16×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
11×	`pow1_binary64`
6×	`add-log-exp_binary64`
5×	`cbrt-unprod_binary64` `prod-exp_binary64`
4×	`pow-prod-down_binary64` `associate-/r/_binary64` `associate-l_binary64` `insert-posit16`
3×	`associate-/r_binary64` `unswap-sqr_binary64` `associate-/l_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `flip3--_binary64` `cbrt-undiv_binary64` `div-inv_binary64` `div-exp_binary64` `flip--_binary64` `flip-+_binary64` `*-commutative_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `associate-*r/_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64`

Counts

4 → 100

Calls

4 calls:

4.0ms	(-.f64 36 (.f64 (.f64 x x) 81))
12.0ms	(.f64 x (/.f64 (-.f64 36 (.f64 (.f64 x x) 81)) (+.f64 6 (.f64 x 9))))
8.0ms	(/.f64 (-.f64 36 (.f64 (.f64 x x) 81)) (+.f64 6 (*.f64 x 9)))
7.0ms	(.f64 (.f64 x x) 81)

series2.3s

Counts

4 → 12

Calls

4 calls:

168.0ms	(-.f64 36 (.f64 (.f64 x x) 81))
1.1s	(.f64 x (/.f64 (-.f64 36 (.f64 (.f64 x x) 81)) (+.f64 6 (.f64 x 9))))
892.0ms	(/.f64 (-.f64 36 (.f64 (.f64 x x) 81)) (+.f64 6 (*.f64 x 9)))
154.0ms	(.f64 (.f64 x x) 81)

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	673	9
1	673	9
0	673	9
1	673	9
0	1	3
1	1	3
0	28529	9
0	28529	9
0	1	3
1	1	3
0	25835	9
0	25835	9
0	1	3
1	1	3
0	713	9
1	713	9
0	713	9
1	713	9
0	1	3
1	1	3

simplify97.0ms

Counts

112 → 112

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	5235	2136

prune110.0ms

Filtered

85 candidates to 112 candidates (-31.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	111	1	112
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	111	8	119

Merged error: 0b

Counts

119 → 8

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (.f64 x (-.f64 6 (.f64 x 9))))
0.5b	(cbrt.f64 (.f64 x (-.f64 6 (.f64 x 9))))
0.5b	(cbrt.f64 (.f64 x (-.f64 6 (.f64 x 9))))
0.6b	(.f64 (cbrt.f64 (.f64 x (-.f64 6 (.f64 x 9)))) (cbrt.f64 (.f64 x (-.f64 6 (*.f64 x 9)))))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*r/_binary64`
18×	`cbrt-div_binary64`
11×	`pow1_binary64`
10×	`add-sqr-sqrt_binary64`
9×	`flip3--_binary64` `pow1/3_binary64` `flip--_binary64`
8×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
7×	`cbrt-prod_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `swap-sqr_binary64` `associate-r_binary64` `add-cbrt-cube_binary64` `associate-l_binary64` `insert-posit16` `frac-times_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64` `associate-*l/_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 76

Calls

4 calls:

5.0ms	(cbrt.f64 (.f64 x (-.f64 6 (.f64 x 9))))
5.0ms	(cbrt.f64 (.f64 x (-.f64 6 (.f64 x 9))))
5.0ms	(cbrt.f64 (.f64 x (-.f64 6 (.f64 x 9))))
8.0ms	(.f64 (cbrt.f64 (.f64 x (-.f64 6 (.f64 x 9)))) (cbrt.f64 (.f64 x (-.f64 6 (*.f64 x 9)))))

series213.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(cbrt.f64 (.f64 x (-.f64 6 (.f64 x 9))))
47.0ms	(cbrt.f64 (.f64 x (-.f64 6 (.f64 x 9))))
45.0ms	(cbrt.f64 (.f64 x (-.f64 6 (.f64 x 9))))
73.0ms	(.f64 (cbrt.f64 (.f64 x (-.f64 6 (.f64 x 9)))) (cbrt.f64 (.f64 x (-.f64 6 (*.f64 x 9)))))

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	579	9
1	579	9
0	579	9
1	579	9
0	1	3
1	1	3
0	38	9
1	38	9
0	38	9
1	38	9
0	1	3
1	1	3
0	38	9
1	38	9
0	38	9
1	38	9
0	1	3
1	1	3
0	38	9
1	38	9
0	38	9
1	38	9
0	1	3
1	1	3

simplify142.0ms

Counts

88 → 88

Iterations

Useful iterations: 0 (111.0ms)

Iter	Nodes	Cost
0	4878	1366
1	4878	1366

prune107.0ms

Filtered

63 candidates to 88 candidates (-39.7%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	88	0	88
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	88	8	96

Merged error: 0b

Counts

96 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 6 (*.f64 x 9))
0.0b	(-.f64 (.f64 x 36) (.f64 (pow.f64 x 3) 81))
0.1b	(*.f64 (pow.f64 x 3) 81)
7.9b	(/.f64 (-.f64 (.f64 x 36) (.f64 (pow.f64 x 3) 81)) (+.f64 6 (*.f64 x 9)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64`
16×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
12×	`associate-l_binary64`
11×	`add-exp-log_binary64`
9×	`times-frac_binary64`
8×	`add-log-exp_binary64` `add-cbrt-cube_binary64`
4×	`pow1_binary64` `unswap-sqr_binary64` `unpow-prod-down_binary64` `cube-prod_binary64` `insert-posit16`
3×	`associate-/r_binary64` `associate-r_binary64` `prod-exp_binary64` `associate-/l_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `flip3--_binary64` `sqr-pow_binary64` `associate-/r/_binary64` `flip--_binary64` `flip-+_binary64`
1×	`pow-to-exp_binary64` `sub-neg_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `pow-exp_binary64` `unpow3_binary64` `sum-log_binary64` `*-commutative_binary64` `cube-mult_binary64`

Counts

4 → 89

Calls

4 calls:

4.0ms	(+.f64 6 (*.f64 x 9))
5.0ms	(-.f64 (.f64 x 36) (.f64 (pow.f64 x 3) 81))
7.0ms	(*.f64 (pow.f64 x 3) 81)
9.0ms	(/.f64 (-.f64 (.f64 x 36) (.f64 (pow.f64 x 3) 81)) (+.f64 6 (*.f64 x 9)))

series1.3s

Counts

4 → 12

Calls

4 calls:

53.0ms	(+.f64 6 (*.f64 x 9))
166.0ms	(-.f64 (.f64 x 36) (.f64 (pow.f64 x 3) 81))
148.0ms	(*.f64 (pow.f64 x 3) 81)
883.0ms	(/.f64 (-.f64 (.f64 x 36) (.f64 (pow.f64 x 3) 81)) (+.f64 6 (*.f64 x 9)))

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	24947	9
1	24947	9
0	24947	9
1	24947	9
0	1	3
1	1	3
0	677	9
1	677	9
0	677	9
1	677	9
0	1	3
1	1	3
0	757	9
1	757	9
0	757	9
1	757	9
0	1	3
1	1	3
0	146	9
1	146	9
0	146	9
1	146	9
0	1	3
1	1	3

simplify126.0ms

Counts

101 → 101

Iterations

Useful iterations: 0 (94.0ms)

Iter	Nodes	Cost
0	5187	1729

prune101.0ms

Filtered

76 candidates to 101 candidates (-32.9%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	100	1	101
Fresh	3	1	4
Picked	0	1	1
Done	0	3	3
Total	103	6	109

Merged error: 0b

Counts

109 → 6

regimes17.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	35	10
1	35	10

end0.0ms

sample318.0ms

Algorithm

intervals

Results

166.0ms	7206×	body	80	valid
32.0ms	319×	body	1280	valid
19.0ms	247×	body	640	valid
9.0ms	149×	body	320	valid
3.0ms	79×	body	160	valid
0.0ms	2×	body	80	invalid

Iter	Nodes	Cost
0	579	9
1	579	9
0	579	9
1	579	9
0	1	3
1	1	3
0	38	9
1	38	9
0	38	9
1	38	9
0	1	3
1	1	3
0	38	9
1	38	9
0	38	9
1	38	9
0	1	3
1	1	3
0	38	9
1	38	9
0	38	9
1	38	9
0	1	3
1	1	3

Iter	Nodes	Cost
0	579	9
1	579	9
0	579	9
1	579	9
0	1	3
1	1	3
0	38	9
1	38	9
0	38	9
1	38	9
0	1	3
1	1	3
0	38	9
1	38	9
0	38	9
1	38	9
0	1	3
1	1	3
0	38	9
1	38	9
0	38	9
1	38	9
0	1	3
1	1	3

Details

analyze3.0ms

sample11.0ms

simplify56.0ms

prune3.0ms

localize4.0ms

rewrite12.0ms

series118.0ms

simplify74.0ms

prune36.0ms

localize9.0ms

rewrite36.0ms

series2.3s

simplify97.0ms

prune110.0ms

localize8.0ms

rewrite27.0ms

series213.0ms

simplify142.0ms

prune107.0ms

localize10.0ms

rewrite29.0ms

series1.3s

simplify126.0ms

prune101.0ms

regimes17.0ms

bsearch0.0ms

simplify7.0ms

end0.0ms

sample318.0ms

Profiling

Iter	Nodes	Cost
0	579	9
1	579	9
0	579	9
1	579	9
0	1	3
1	1	3
0	38	9
1	38	9
0	38	9
1	38	9
0	1	3
1	1	3
0	38	9
1	38	9
0	38	9
1	38	9
0	1	3
1	1	3
0	38	9
1	38	9
0	38	9
1	38	9
0	1	3
1	1	3