Details

analyze10.0ms

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%	13
74.9%	0%	25%	14

sample208.0ms

Algorithm

intervals

Results

186.0ms	79×	body	80	valid
7.0ms	66×	body	1280	valid
5.0ms	58×	body	640	valid
2.0ms	30×	body	320	valid
1.0ms	23×	body	160	valid

simplify508.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (105.0ms)

Iter	Nodes	Cost
0	5710	5

prune8.0ms

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: 0.0b

Counts

2 → 2

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

5×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
4×	`associate-r_binary64`
3×	`pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
2×	`associate-*r/_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `flip-+_binary64` `*-commutative_binary64`

Counts

1 → 23

Calls

1 calls:

18.0ms

(*.f64 x (+.f64 x 2))

series14.0ms

Counts

1 → 3

Calls

1 calls:

14.0ms

(*.f64 x (+.f64 x 2))

simplify67.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5025	159

prune14.0ms

Filtered

16 candidates to 26 candidates (-62.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	24	2	26
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	25	3	28

Merged error: 0b

Counts

28 → 3

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-log-exp_binary64`
5×	`*-un-lft-identity_binary64`
4×	`distribute-rgt-out_binary64`
3×	`sum-log_binary64`
1×	`flip3-+_binary64` `count-2_binary64` `distribute-lft1-in_binary64` `pow1_binary64` `distribute-lft-out_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `distribute-rgt1-in_binary64` `add-sqr-sqrt_binary64` `+-commutative_binary64` `flip-+_binary64` `associate-+r+_binary64`

Counts

1 → 17

Calls

1 calls:

8.0ms

(+.f64 (*.f64 x x) (+.f64 x x))

series6.0ms

Counts

1 → 3

Calls

1 calls:

6.0ms

(+.f64 (*.f64 x x) (+.f64 x x))

simplify54.0ms

Algorithm

egg-herbie

Counts

20 → 20

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4854	128
1	4854	128

prune7.0ms

Filtered

10 candidates to 20 candidates (-100.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	20	0	20
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	20	3	23

Merged error: 0b

Counts

23 → 3

localize5.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (*.f64 x (+.f64 x 2)))
0.0b	(*.f64 x (+.f64 x 2))
0.0b	(*.f64 x (+.f64 x 2))
0.2b	(.f64 (sqrt.f64 (.f64 x (+.f64 x 2))) (sqrt.f64 (*.f64 x (+.f64 x 2))))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 116

Calls

4 calls:

5.0ms	(sqrt.f64 (*.f64 x (+.f64 x 2)))
6.0ms	(*.f64 x (+.f64 x 2))
7.0ms	(*.f64 x (+.f64 x 2))
18.0ms	(.f64 (sqrt.f64 (.f64 x (+.f64 x 2))) (sqrt.f64 (*.f64 x (+.f64 x 2))))

series21.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(sqrt.f64 (*.f64 x (+.f64 x 2)))
5.0ms	(*.f64 x (+.f64 x 2))
5.0ms	(*.f64 x (+.f64 x 2))
7.0ms	(.f64 (sqrt.f64 (.f64 x (+.f64 x 2))) (sqrt.f64 (*.f64 x (+.f64 x 2))))

simplify62.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4908	856
1	4908	856

prune54.0ms

Filtered

79 candidates to 128 candidates (-62.0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	128	0	128
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	128	3	131

Merged error: 0b

Counts

131 → 3

regimes21.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	5	7
1	5	7

end0.0ms

sample596.0ms

Algorithm

intervals

Results

228.0ms	2245×	body	1280	valid
139.0ms	1710×	body	640	valid
67.0ms	2833×	body	80	valid
50.0ms	784×	body	320	valid
20.0ms	428×	body	160	valid

Details

analyze10.0ms

sample208.0ms

simplify508.0ms

prune8.0ms

localize5.0ms

rewrite20.0ms

series14.0ms

simplify67.0ms

prune14.0ms

localize4.0ms

rewrite8.0ms

series6.0ms

simplify54.0ms

prune7.0ms

localize5.0ms

rewrite40.0ms

series21.0ms

simplify62.0ms

prune54.0ms

regimes21.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample596.0ms

Profiling