Details

analyze74.0ms

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%	62.4%	12.6%	6
25%	40.6%	34.4%	7
31.2%	25%	43.8%	8
39%	17.2%	43.8%	9
42.9%	13.3%	43.8%	10
47.2%	9%	43.8%	11
49.4%	6.8%	43.8%	12
51.6%	4.6%	43.8%	13
52.7%	3.5%	43.8%	14

sample13.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify25.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	24	13
1	24	13

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: 0.0b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 x 2) (.f64 x x))
0.0b	(+.f64 (+.f64 (.f64 x 2) (.f64 x x)) (*.f64 y y))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp_binary64`
4×	`sum-log_binary64`
2×	`flip3-+_binary64` `*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `insert-posit16` `+-commutative_binary64` `flip-+_binary64`
1×	`distribute-lft-out_binary64` `associate-+l+_binary64`

Counts

2 → 27

Calls

2 calls:

5.0ms	(+.f64 (.f64 x 2) (.f64 x x))
8.0ms	(+.f64 (+.f64 (.f64 x 2) (.f64 x x)) (*.f64 y y))

series554.0ms

Counts

2 → 6

Calls

2 calls:

215.0ms	(+.f64 (.f64 x 2) (.f64 x x))
339.0ms	(+.f64 (+.f64 (.f64 x 2) (.f64 x x)) (*.f64 y y))

Iterations

Useful iterations: 0 (141.0ms)

Iter	Nodes	Cost
0	291	333
1	291	333
0	19	18
1	19	18
0	291	333
1	291	333
0	19	18
1	19	18
0	4925	15
1	4925	15
0	276	297
1	276	297
0	37	39
1	37	39
0	276	297
1	276	297
0	37	39
1	37	39
0	25	30
1	25	30

simplify131.0ms

Counts

33 → 33

Iterations

Useful iterations: 0 (110.0ms)

Iter	Nodes	Cost
0	4982	448
1	4982	448

prune23.0ms

Filtered

28 candidates to 33 candidates (-17.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	32	1	33
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	32	2	34

Merged error: 0.0b

Counts

34 → 2

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(*.f64 x (+.f64 x 2))
0.0b	(+.f64 (.f64 y y) (.f64 x (+.f64 x 2)))
0.0b	(+.f64 (.f64 y y) (.f64 x (+.f64 x 2)))
0.1b	(.f64 (sqrt.f64 (+.f64 (.f64 y y) (.f64 x (+.f64 x 2)))) (sqrt.f64 (+.f64 (.f64 y y) (*.f64 x (+.f64 x 2)))))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt_binary64`
21×	`pow1_binary64`
18×	`sqrt-prod_binary64`
16×	`*-un-lft-identity_binary64`
14×	`add-cube-cbrt_binary64`
12×	`sqrt-div_binary64`
10×	`associate-r_binary64`
9×	`flip3-+_binary64` `associate-l_binary64` `flip-+_binary64`
8×	`add-log-exp_binary64` `pow1/2_binary64` `swap-sqr_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `sqrt-pow1_binary64`
5×	`pow-prod-up_binary64` `unswap-sqr_binary64`
4×	`pow-prod-down_binary64` `associate-*r/_binary64` `insert-posit16` `associate-+r+_binary64` `frac-times_binary64`
3×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64` `pow-sqr_binary64`
2×	`cbrt-unprod_binary64` `prod-exp_binary64` `+-commutative_binary64` `associate-l/_binary64` `sum-log_binary64` `-commutative_binary64`
1×	`distribute-lft-out_binary64` `rem-square-sqrt_binary64` `pow-plus_binary64` `sqrt-unprod_binary64` `pow2_binary64`

Counts

4 → 110

Calls

4 calls:

7.0ms	(*.f64 x (+.f64 x 2))
6.0ms	(+.f64 (.f64 y y) (.f64 x (+.f64 x 2)))
6.0ms	(+.f64 (.f64 y y) (.f64 x (+.f64 x 2)))
16.0ms	(.f64 (sqrt.f64 (+.f64 (.f64 y y) (.f64 x (+.f64 x 2)))) (sqrt.f64 (+.f64 (.f64 y y) (*.f64 x (+.f64 x 2)))))

series2.2s

Counts

4 → 12

Calls

4 calls:

272.0ms	(*.f64 x (+.f64 x 2))
695.0ms	(+.f64 (.f64 y y) (.f64 x (+.f64 x 2)))
694.0ms	(+.f64 (.f64 y y) (.f64 x (+.f64 x 2)))
498.0ms	(.f64 (sqrt.f64 (+.f64 (.f64 y y) (.f64 x (+.f64 x 2)))) (sqrt.f64 (+.f64 (.f64 y y) (*.f64 x (+.f64 x 2)))))

Iterations

Useful iterations: 0 (239.0ms)

Iter	Nodes	Cost
0	426	1110
1	426	1110
0	71	80
1	71	80
0	426	1110
1	426	1110
0	71	80
1	71	80
0	4800	6
1	4800	6
0	287	273
1	287	273
0	19	15
1	19	15
0	287	273
1	287	273
0	19	15
1	19	15
0	5383	15
0	287	273
1	287	273
0	19	15
1	19	15
0	287	273
1	287	273
0	19	15
1	19	15
0	5383	15
0	238	213
1	238	213
0	37	51
1	37	51
0	238	213
1	238	213
0	37	51
1	37	51
0	4511	12
1	4511	12

simplify126.0ms

Counts

122 → 122

Iterations

Useful iterations: 0 (88.0ms)

Iter	Nodes	Cost
0	4957	1982
1	4957	1982

prune90.0ms

Filtered

80 candidates to 122 candidates (-52.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	121	1	122
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	121	3	124

Merged error: 0b

Counts

124 → 3

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (+.f64 (.f64 y y) (.f64 x (+.f64 x 2)))) (cbrt.f64 (+.f64 (.f64 y y) (*.f64 x (+.f64 x 2)))))
0.6b	(cbrt.f64 (+.f64 (.f64 y y) (.f64 x (+.f64 x 2))))
0.6b	(cbrt.f64 (+.f64 (.f64 y y) (.f64 x (+.f64 x 2))))
0.6b	(cbrt.f64 (+.f64 (.f64 y y) (.f64 x (+.f64 x 2))))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 91

Calls

4 calls:

14.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 y y) (.f64 x (+.f64 x 2)))) (cbrt.f64 (+.f64 (.f64 y y) (*.f64 x (+.f64 x 2)))))
5.0ms	(cbrt.f64 (+.f64 (.f64 y y) (.f64 x (+.f64 x 2))))
5.0ms	(cbrt.f64 (+.f64 (.f64 y y) (.f64 x (+.f64 x 2))))
5.0ms	(cbrt.f64 (+.f64 (.f64 y y) (.f64 x (+.f64 x 2))))

series2.6s

Counts

4 → 12

Calls

4 calls:

672.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 y y) (.f64 x (+.f64 x 2)))) (cbrt.f64 (+.f64 (.f64 y y) (*.f64 x (+.f64 x 2)))))
632.0ms	(cbrt.f64 (+.f64 (.f64 y y) (.f64 x (+.f64 x 2))))
683.0ms	(cbrt.f64 (+.f64 (.f64 y y) (.f64 x (+.f64 x 2))))
637.0ms	(cbrt.f64 (+.f64 (.f64 y y) (.f64 x (+.f64 x 2))))

Iterations

Useful iterations: 0 (97.0ms)

Iter	Nodes	Cost
0	110	1761
1	110	1761
0	286	1620
1	286	1620
0	110	1761
1	110	1761
0	286	1620
1	286	1620
0	4907	40
1	4907	40
0	110	1761
1	110	1761
0	286	1620
1	286	1620
0	110	1761
1	110	1761
0	286	1620
1	286	1620
0	4907	40
1	4907	40
0	110	1761
1	110	1761
0	286	1620
1	286	1620
0	110	1761
1	110	1761
0	286	1620
1	286	1620
0	4907	40
1	4907	40
0	178	1983
1	178	1983
0	4529	1685
1	4529	1685
0	178	1983
1	178	1983
0	4529	1685
1	4529	1685
0	4834	25
1	4834	25

simplify78.0ms

Counts

103 → 103

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5108	2730

prune175.0ms

Filtered

80 candidates to 103 candidates (-28.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	103	3	106

Merged error: 0b

Counts

106 → 3

regimes57.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	12	16
1	12	16

end0.0ms

sample360.0ms

Algorithm

intervals

Results

236.0ms	8000×	body	80	valid
0.0ms	4×	body	80	invalid

Details

analyze74.0ms

sample13.0ms

simplify25.0ms

prune4.0ms

localize7.0ms

rewrite14.0ms

series554.0ms

simplify131.0ms

prune23.0ms

localize8.0ms

rewrite39.0ms

series2.2s

simplify126.0ms

prune90.0ms

localize17.0ms

rewrite33.0ms

series2.6s

simplify78.0ms

prune175.0ms

regimes57.0ms

bsearch0.0ms

simplify6.0ms

end0.0ms

sample360.0ms

Profiling