Details

sample2.1s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 26.794434%

Guaranteed chance to sample good point: 45.585293%

Results

24.0ms	48×	body	1280	valid
9.0ms	30×	body	640	valid
9.0ms	152×	body	80	valid
4.0ms	20×	body	320	valid
2.0ms	8×	body	640	invalid
2.0ms	9×	body	320	invalid
1.0ms	6×	body	160	valid
1.0ms	6×	body	160	invalid
0.0ms	1×	body	1280	invalid
0.0ms	2×	body	80	nan
0.0ms	1×	body	80	invalid

simplify121.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 4 (7.0ms)

Iter	Nodes	Cost
0	15	6
1	24	6
2	51	6
3	106	6
4	304	4
5	774	4
6	4142	4
7	5001	4

prune7.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 9.9b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (pow (/ x (+ x y)) x) x)
0.0b	(/ x (+ x y))
6.4b	(pow (/ x (+ x y)) x)

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
118×	`*-un-lft-identity`
90×	`unpow-prod-down`
80×	`add-sqr-sqrt` `add-cube-cbrt`
25×	`associate-/l*`
19×	`distribute-lft-out`
16×	`add-exp-log`
12×	`associate-/r/`
7×	`div-exp` `associate-/r*` `add-cbrt-cube` `div-inv`
6×	`flip3-+` `flip-+`
5×	`sqr-pow`
4×	`pow1` `pow-exp`
3×	`pow-unpow` `add-log-exp`
2×	`cbrt-undiv` `pow-to-exp` `frac-2neg` `clear-num`
1×	`pow-pow`

Counts

3 → 172

Calls

3 calls:

11.0ms	(/ (pow (/ x (+ x y)) x) x)
5.0ms	(/ x (+ x y))
7.0ms	(pow (/ x (+ x y)) x)

series45.0ms

Counts

3 → 9

Calls

3 calls:

21.0ms	(/ (pow (/ x (+ x y)) x) x)
5.0ms	(/ x (+ x y))
18.0ms	(pow (/ x (+ x y)) x)

simplify105.0ms

Algorithm

egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 1 (23.0ms)

Iter	Nodes	Cost
0	752	1628
1	3787	1586
2	5001	1586

prune222.0ms

Filtered

134 candidates to 181 candidates (-35.1%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	172	9	181
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	173	9	182

Merged error: 0.5b

Counts

182 → 9

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
1.3b	(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-exp-log`
13×	`unpow-prod-down`
12×	`cbrt-div`
9×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
8×	`associate-/r/`
6×	`flip3-+` `flip-+`
5×	`pow1` `pow-exp`
4×	`frac-times` `div-exp` `prod-exp` `add-cbrt-cube` `add-log-exp`
3×	`pow-unpow` `pow1/3`
2×	`associate-r/` `associate-l/`
1×	`pow-to-exp` `pow-pow` `times-frac` `div-inv` `sqr-pow`

Counts

4 → 64

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
16.0ms	(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

series105.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(cbrt x)
25.0ms	(cbrt x)
22.0ms	(cbrt x)
36.0ms	(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

simplify59.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	540	774
1	1876	714
2	5002	668

prune121.0ms

Filtered

55 candidates to 76 candidates (-38.2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	75	1	76
Fresh	2	6	8
Picked	1	0	1
Done	0	0	0
Total	78	7	85

Merged error: 0.5b

Counts

85 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(pow (/ (cbrt x) (cbrt (+ x y))) x)
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

54×	`cbrt-prod`
48×	`unpow-prod-down`
47×	`*-un-lft-identity`
42×	`times-frac`
35×	`add-sqr-sqrt` `add-cube-cbrt`
7×	`add-exp-log`
6×	`distribute-lft-out`
5×	`pow1`
4×	`add-cbrt-cube` `add-log-exp`
3×	`pow-unpow` `pow1/3`
2×	`cbrt-div` `pow-exp` `associate-/r/`
1×	`pow-to-exp` `pow-pow` `flip3-+` `div-exp` `flip-+` `div-inv` `sqr-pow`

Counts

4 → 96

Calls

4 calls:

13.0ms	(pow (/ (cbrt x) (cbrt (+ x y))) x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series96.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(pow (/ (cbrt x) (cbrt (+ x y))) x)
22.0ms	(cbrt x)
23.0ms	(cbrt x)
22.0ms	(cbrt x)

simplify69.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	634	1026
1	2299	990
2	5001	933

prune137.0ms

Filtered

75 candidates to 108 candidates (-44.0%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	108	7	115

Merged error: 0.5b

Counts

115 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (/ (pow (/ x (+ x y)) x) x))
6.4b	(pow (/ x (+ x y)) x)
6.4b	(pow (/ x (+ x y)) x)
6.4b	(pow (/ x (+ x y)) x)

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
117×	`*-un-lft-identity`
108×	`unpow-prod-down`
81×	`add-sqr-sqrt` `add-cube-cbrt`
70×	`cbrt-prod`
18×	`distribute-lft-out`
13×	`add-exp-log`
12×	`associate-/r/`
9×	`pow-unpow`
7×	`pow1` `div-inv`
6×	`flip3-+` `pow-exp` `flip-+` `sqr-pow`
4×	`add-cbrt-cube` `add-log-exp`
3×	`pow-to-exp` `pow-pow` `div-exp`
1×	`cbrt-div` `pow1/3`

Counts

4 → 178

Calls

4 calls:

11.0ms	(cbrt (/ (pow (/ x (+ x y)) x) x))
9.0ms	(pow (/ x (+ x y)) x)
7.0ms	(pow (/ x (+ x y)) x)
7.0ms	(pow (/ x (+ x y)) x)

series96.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(cbrt (/ (pow (/ x (+ x y)) x) x))
17.0ms	(pow (/ x (+ x y)) x)
17.0ms	(pow (/ x (+ x y)) x)
18.0ms	(pow (/ x (+ x y)) x)

simplify109.0ms

Algorithm

egg-herbie

Counts

190 → 190

Iterations

Useful iterations: 2 (85.0ms)

Iter	Nodes	Cost
0	919	2341
1	3802	2269
2	5002	2262

prune257.0ms

Filtered

142 candidates to 190 candidates (-33.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	189	1	190
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	189	8	197

Merged error: 0.5b

Counts

197 → 8

regimes117.0ms

Accuracy

0% (4.3b remaining)

Error of 5.5b against oracle of 1.1b and baseline of 5.5b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	18
1	12	18

end0.0ms

sample4.1s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 26.794434%

Guaranteed chance to sample good point: 45.585293%

Results

734.0ms	1451×	body	1280	valid
345.0ms	1104×	body	640	valid
268.0ms	4464×	body	80	valid
134.0ms	644×	body	320	valid
68.0ms	228×	body	640	invalid
46.0ms	103×	body	1280	invalid
44.0ms	337×	body	160	valid
35.0ms	166×	body	320	invalid
12.0ms	92×	body	160	invalid
8.0ms	132×	body	80	invalid
5.0ms	124×	body	80	nan

Details

sample2.1s

simplify121.0ms

prune7.0ms

localize7.0ms

rewrite34.0ms

series45.0ms

simplify105.0ms

prune222.0ms

localize20.0ms

rewrite22.0ms

series105.0ms

simplify59.0ms

prune121.0ms

localize13.0ms

rewrite21.0ms

series96.0ms

simplify69.0ms

prune137.0ms

localize12.0ms

rewrite42.0ms

series96.0ms

simplify109.0ms

prune257.0ms

regimes117.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample4.1s

Profiling