Details

analyze60.0ms

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%	56.2%	18.8%	6
37.5%	40.6%	22%	7
46.8%	29.7%	23.5%	8
54.6%	21.1%	24.3%	9
60.1%	15.2%	24.7%	10
64.4%	10.7%	24.9%	11
67.3%	7.7%	25%	12
69.6%	5.4%	25%	13
71.1%	3.9%	25%	14

sample15.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
0.0ms	1×	body	80	invalid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	13	7
1	13	7

prune5.0ms

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

localize4.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 25

Calls

2 calls:

4.0ms	(+.f64 (*.f64 x x) y)
7.0ms	(+.f64 (+.f64 (*.f64 x x) y) y)

series11.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(+.f64 (*.f64 x x) y)
6.0ms	(+.f64 (+.f64 (*.f64 x x) y) y)

simplify44.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5304	250

prune29.0ms

Filtered

22 candidates to 31 candidates (-40.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	30	1	31
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	30	2	32

Merged error: 0b

Counts

32 → 2

localize7.0ms

Local error

Found 4 expressions with local error:

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

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity_binary64` `sqrt-prod_binary64`
28×	`add-sqr-sqrt_binary64`
21×	`pow1_binary64`
16×	`sqrt-div_binary64`
14×	`add-cube-cbrt_binary64`
11×	`swap-sqr_binary64`
10×	`pow1/2_binary64` `sqrt-pow1_binary64`
9×	`flip3-+_binary64` `add-log-exp_binary64` `distribute-lft-out_binary64` `flip-+_binary64`
7×	`associate-r_binary64` `associate-l_binary64`
6×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`pow-prod-up_binary64`
4×	`unswap-sqr_binary64` `frac-times_binary64`
3×	`pow-prod-down_binary64` `pow-sqr_binary64` `sum-log_binary64`
2×	`associate-r/_binary64` `rem-sqrt-square_binary64` `associate-l/_binary64`
1×	`cbrt-unprod_binary64` `rem-square-sqrt_binary64` `pow-plus_binary64` `sqrt-unprod_binary64` `prod-exp_binary64` `+-commutative_binary64` `associate-+r+_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 108

Calls

4 calls:

7.0ms	(+.f64 y (+.f64 (*.f64 x x) y))
6.0ms	(sqrt.f64 (+.f64 y (+.f64 (*.f64 x x) y)))
6.0ms	(sqrt.f64 (+.f64 y (+.f64 (*.f64 x x) y)))
17.0ms	(.f64 (sqrt.f64 (+.f64 y (+.f64 (.f64 x x) y))) (sqrt.f64 (+.f64 y (+.f64 (*.f64 x x) y))))

series66.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(+.f64 y (+.f64 (*.f64 x x) y))
25.0ms	(sqrt.f64 (+.f64 y (+.f64 (*.f64 x x) y)))
22.0ms	(sqrt.f64 (+.f64 y (+.f64 (*.f64 x x) y)))
9.0ms	(.f64 (sqrt.f64 (+.f64 y (+.f64 (.f64 x x) y))) (sqrt.f64 (+.f64 y (+.f64 (*.f64 x x) y))))

simplify86.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4876	1247
1	4876	1247

prune72.0ms

Filtered

75 candidates to 120 candidates (-60.0%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	120	2	122

Merged error: 0b

Counts

122 → 2

regimes123.0ms

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	7	7
1	7	7

end0.0ms

sample288.0ms

Algorithm

intervals

Results

169.0ms	8000×	body	80	valid
0.0ms	9×	body	80	invalid

Details

analyze60.0ms

sample15.0ms

simplify5.0ms

prune5.0ms

localize4.0ms

rewrite12.0ms

series11.0ms

simplify44.0ms

prune29.0ms

localize7.0ms

rewrite40.0ms

series66.0ms

simplify86.0ms

prune72.0ms

regimes123.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample288.0ms

Profiling