Details

analyze34.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
25%	74.9%	0.1%	3
25%	62.4%	12.6%	4
37.5%	43.7%	18.8%	5
37.5%	34.3%	28.2%	6
43.7%	23.4%	32.9%	7
43.7%	18%	38.3%	8
46.8%	12.1%	41.1%	9
46.8%	9.2%	44%	10
48.4%	6.1%	45.5%	11
48.4%	4.6%	47%	12
49.2%	3.1%	47.7%	13
49.2%	2.3%	48.5%	14

sample10.0ms

Algorithm

intervals

Results

5.0ms	256×	body	80	valid
0.0ms	8×	body	80	nan

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	6	6
1	6	6

prune6.0ms

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 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

4×	`*-un-lft-identity_binary64` `sqrt-prod_binary64`
3×	`add-sqr-sqrt_binary64`
2×	`pow1_binary64` `add-cube-cbrt_binary64` `sqrt-div_binary64`
1×	`flip3-+_binary64` `add-log-exp_binary64` `pow1/2_binary64` `distribute-lft-out_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `flip-+_binary64`

Counts

1 → 16

Calls

1 calls:

3.0ms

(sqrt.f64 (+.f64 x y))

series23.0ms

Counts

1 → 3

Calls

1 calls:

23.0ms

(sqrt.f64 (+.f64 x y))

simplify50.0ms

Algorithm

egg-herbie

Counts

19 → 19

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5074	236

prune10.0ms

Filtered

14 candidates to 19 candidates (-35.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	18	1	19
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	18	2	20

Merged error: 0b

Counts

20 → 2

localize7.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt.f64 (cbrt.f64 (+.f64 x y)))
0.3b	(*.f64 (fabs.f64 (cbrt.f64 (+.f64 x y))) (sqrt.f64 (cbrt.f64 (+.f64 x y))))
0.6b	(cbrt.f64 (+.f64 x y))
0.6b	(cbrt.f64 (+.f64 x y))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
18×	`cbrt-prod_binary64`
16×	`sqrt-prod_binary64`
12×	`add-cube-cbrt_binary64`
10×	`associate-r_binary64`
8×	`cbrt-div_binary64`
7×	`pow1_binary64`
6×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`flip3-+_binary64` `add-log-exp_binary64` `distribute-lft-out_binary64` `flip-+_binary64` `sqrt-div_binary64`
3×	`pow1/3_binary64` `associate-l_binary64` `unswap-sqr_binary64`
2×	`associate-*r/_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64`
1×	`pow-prod-down_binary64` `pow1/2_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

4 → 78

Calls

4 calls:

4.0ms	(sqrt.f64 (cbrt.f64 (+.f64 x y)))
8.0ms	(*.f64 (fabs.f64 (cbrt.f64 (+.f64 x y))) (sqrt.f64 (cbrt.f64 (+.f64 x y))))
3.0ms	(cbrt.f64 (+.f64 x y))
3.0ms	(cbrt.f64 (+.f64 x y))

series572.0ms

Counts

4 → 12

Calls

4 calls:

127.0ms	(sqrt.f64 (cbrt.f64 (+.f64 x y)))
210.0ms	(*.f64 (fabs.f64 (cbrt.f64 (+.f64 x y))) (sqrt.f64 (cbrt.f64 (+.f64 x y))))
114.0ms	(cbrt.f64 (+.f64 x y))
121.0ms	(cbrt.f64 (+.f64 x y))

simplify121.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (100.0ms)

Iter	Nodes	Cost
0	4882	1481
1	4882	1481

prune60.0ms

Filtered

75 candidates to 90 candidates (-20.0%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	90	0	90
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	90	2	92

Merged error: 0b

Counts

92 → 2

regimes49.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify5.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	6
1	6	6

end0.0ms

sample322.0ms

Algorithm

intervals

Results

179.0ms	8000×	body	80	valid
5.0ms	269×	body	80	nan

Details

analyze34.0ms

sample10.0ms

simplify11.0ms

prune6.0ms

localize4.0ms

rewrite4.0ms

series23.0ms

simplify50.0ms

prune10.0ms

localize7.0ms

rewrite21.0ms

series572.0ms

simplify121.0ms

prune60.0ms

regimes49.0ms

bsearch0.0ms

simplify5.0ms

end0.0ms

sample322.0ms

Profiling