Details

analyze95.0ms

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%	74.9%	0.1%	6
56.2%	43.7%	0.1%	7
56.2%	43.7%	0.1%	8
76.5%	23.4%	0.1%	9
76.5%	23.4%	0.1%	10
87.8%	12.1%	0.1%	11
87.8%	12.1%	0.1%	12
93.8%	6.1%	0.1%	13
93.8%	6.1%	0.1%	14

sample13.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify77.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4878	9
1	4878	9

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: 17.4b

Counts

2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

16.7b

(/.f64 (-.f64 x y) (*.f64 (*.f64 x 2.0) y))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
5×	`associate-/l*_binary64` `times-frac_binary64`
3×	`cbrt-unprod_binary64` `cbrt-undiv_binary64` `add-cube-cbrt_binary64` `prod-exp_binary64` `div-exp_binary64`
2×	`associate-/l/_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`
1×	`associate-/r*_binary64` `add-log-exp_binary64` `pow1_binary64` `flip3--_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `flip--_binary64`

Counts

1 → 30

Calls

1 calls:

9.0ms

(/.f64 (-.f64 x y) (*.f64 (*.f64 x 2.0) y))

series9.0ms

Counts

1 → 3

Calls

1 calls:

9.0ms

(/.f64 (-.f64 x y) (*.f64 (*.f64 x 2.0) y))

simplify36.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	6066	350

prune36.0ms

Filtered

22 candidates to 33 candidates (-50.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	31	2	33
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	32	2	34

Merged error: 0b

Counts

34 → 2

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(-.f64 (/.f64 0.5 y) (/.f64 0.5 x))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt_binary64`
11×	`*-un-lft-identity_binary64`
10×	`times-frac_binary64`
5×	`distribute-lft-out--_binary64`
4×	`difference-of-squares_binary64`
3×	`add-log-exp_binary64` `add-cube-cbrt_binary64`
2×	`div-inv_binary64`
1×	`sub-neg_binary64` `pow1_binary64` `flip3--_binary64` `diff-log_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip--_binary64` `frac-sub_binary64`

Counts

1 → 21

Calls

1 calls:

13.0ms

(-.f64 (/.f64 0.5 y) (/.f64 0.5 x))

series5.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

(-.f64 (/.f64 0.5 y) (/.f64 0.5 x))

simplify47.0ms

Algorithm

egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4896	274
1	4896	274

prune24.0ms

Filtered

19 candidates to 24 candidates (-26.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

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

Merged error: 0b

Counts

26 → 2

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 1 (/.f64 (*.f64 x 2.0) (/.f64 (-.f64 x y) y)))
0.0b	(/.f64 (-.f64 x y) y)
7.8b	(/.f64 (*.f64 x 2.0) (/.f64 (-.f64 x y) y))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

272×	`times-frac_binary64`
140×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
96×	`add-cube-cbrt_binary64`
61×	`add-exp-log_binary64`
46×	`associate-/r*_binary64`
35×	`add-cbrt-cube_binary64` `div-exp_binary64`
22×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
18×	`cbrt-undiv_binary64`
13×	`div-inv_binary64`
9×	`associate-/l*_binary64`
8×	`prod-exp_binary64`
6×	`associate-/r/_binary64`
5×	`1-exp_binary64` `rec-exp_binary64`
4×	`pow1_binary64` `cbrt-unprod_binary64`
3×	`add-log-exp_binary64` `clear-num_binary64` `frac-2neg_binary64`
2×	`associate-/l/_binary64`
1×	`flip3--_binary64` `div-sub_binary64` `inv-pow_binary64` `flip--_binary64` `pow-flip_binary64`

Counts

3 → 228

Calls

3 calls:

13.0ms	(/.f64 1 (/.f64 (*.f64 x 2.0) (/.f64 (-.f64 x y) y)))
6.0ms	(/.f64 (-.f64 x y) y)
9.0ms	(/.f64 (*.f64 x 2.0) (/.f64 (-.f64 x y) y))

series26.0ms

Counts

3 → 9

Calls

3 calls:

10.0ms	(/.f64 1 (/.f64 (*.f64 x 2.0) (/.f64 (-.f64 x y) y)))
5.0ms	(/.f64 (-.f64 x y) y)
10.0ms	(/.f64 (*.f64 x 2.0) (/.f64 (-.f64 x y) y))

simplify60.0ms

Algorithm

egg-herbie

Counts

237 → 237

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5358	3059

prune140.0ms

Filtered

141 candidates to 237 candidates (-68.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	237	0	237
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	237	2	239

Merged error: 0b

Counts

239 → 2

regimes61.0ms

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	23	7
1	23	7

end0.0ms

sample346.0ms

Algorithm

intervals

Results

217.0ms	8000×	body	80	valid
0.0ms	1×	body	80	invalid

Details

analyze95.0ms

sample13.0ms

simplify77.0ms

prune5.0ms

localize6.0ms

rewrite10.0ms

series9.0ms

simplify36.0ms

prune36.0ms

localize5.0ms

rewrite14.0ms

series5.0ms

simplify47.0ms

prune24.0ms

localize7.0ms

rewrite42.0ms

series26.0ms

simplify60.0ms

prune140.0ms

regimes61.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample346.0ms

Profiling