Details

sample111.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0.026391%

Guaranteed chance to sample good point: 49.240431%

Results

28.0ms	47×	body	1280	valid
15.0ms	52×	body	640	valid
9.0ms	160×	body	80	valid
4.0ms	20×	body	320	valid
4.0ms	82×	body	80	nan
3.0ms	24×	body	160	valid

simplify114.0ms

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

prune6.0ms

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: 11.1b

Counts

2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ x (+ x y))
0.0b	(/ (pow (/ x (+ x y)) x) x)
6.6b	(pow (/ x (+ x y)) x)

rewrite33.0ms

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:

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

series52.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(/ x (+ x y))
23.0ms	(/ (pow (/ x (+ x y)) x) x)
23.0ms	(pow (/ x (+ x y)) x)

simplify96.0ms

Algorithm

egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 1 (21.0ms)

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

prune208.0ms

Filtered

134 candidates to 181 candidates (-35.1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	173	8	181
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	174	8	182

Merged error: 0.8b

Counts

182 → 8

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt x)
0.5b	(cbrt x)
2.2b	(pow (/ (cbrt x) (cbrt (+ x y))) x)
2.9b	(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

61×	`unpow-prod-down`
51×	`cbrt-prod`
48×	`*-un-lft-identity`
43×	`times-frac`
36×	`add-sqr-sqrt` `add-cube-cbrt`
20×	`add-exp-log`
14×	`cbrt-div`
10×	`associate-/r/`
7×	`flip3-+` `pow-exp` `flip-+`
6×	`pow1` `pow-unpow` `distribute-lft-out`
5×	`div-exp`
4×	`frac-times` `prod-exp` `add-cbrt-cube` `add-log-exp`
2×	`pow-to-exp` `pow-pow` `pow1/3` `associate-r/` `associate-l/` `div-inv` `sqr-pow`

Counts

4 → 116

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
13.0ms	(pow (/ (cbrt x) (cbrt (+ x y))) x)
15.0ms	(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

series122.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(cbrt x)
28.0ms	(cbrt x)
30.0ms	(pow (/ (cbrt x) (cbrt (+ x y))) x)
39.0ms	(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

simplify85.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (70.0ms)

Iter	Nodes	Cost
0	977	1596
1	3500	1507
2	5002	1470

prune176.0ms

Filtered

88 candidates to 128 candidates (-45.5%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	127	1	128
Fresh	2	5	7
Picked	1	0	1
Done	0	0	0
Total	130	6	136

Merged error: 0.8b

Counts

136 → 6

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt x)
0.5b	(cbrt x)
2.2b	(pow (/ (cbrt x) (cbrt (+ x y))) x)
5.0b	(log (/ (cbrt x) (cbrt (+ x y))))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

96×	`cbrt-prod`
85×	`*-un-lft-identity`
84×	`times-frac`
61×	`add-sqr-sqrt` `add-cube-cbrt`
48×	`unpow-prod-down` `log-prod`
12×	`distribute-lft-out`
10×	`add-exp-log`
6×	`pow1`
4×	`cbrt-div` `associate-/r/` `add-cbrt-cube` `add-log-exp`
3×	`pow-unpow`
2×	`flip3-+` `pow1/3` `div-exp` `rem-log-exp` `pow-exp` `flip-+` `div-inv`
1×	`pow-to-exp` `log-div` `pow-pow` `log-pow` `sqr-pow`

Counts

4 → 144

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
12.0ms	(pow (/ (cbrt x) (cbrt (+ x y))) x)
10.0ms	(log (/ (cbrt x) (cbrt (+ x y))))

series110.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(cbrt x)
28.0ms	(cbrt x)
30.0ms	(pow (/ (cbrt x) (cbrt (+ x y))) x)
26.0ms	(log (/ (cbrt x) (cbrt (+ x y))))

simplify72.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	778	1627
1	2653	1569
2	5001	1544

prune194.0ms

Filtered

103 candidates to 156 candidates (-51.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	156	0	156
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	156	6	162

Merged error: 0.8b

Counts

162 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (/ (pow (/ x (+ x y)) x) x))
6.6b	(pow (/ x (+ x y)) x)
6.6b	(pow (/ x (+ x y)) x)
6.6b	(pow (/ x (+ x y)) x)

rewrite41.0ms

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

series106.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(cbrt (/ (pow (/ x (+ x y)) x) x))
19.0ms	(pow (/ x (+ x y)) x)
19.0ms	(pow (/ x (+ x y)) x)
23.0ms	(pow (/ x (+ x y)) x)

simplify104.0ms

Algorithm

egg-herbie

Counts

190 → 190

Iterations

Useful iterations: 2 (79.0ms)

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

prune253.0ms

Filtered

142 candidates to 190 candidates (-33.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	188	2	190
Fresh	1	3	4
Picked	1	0	1
Done	0	1	1
Total	190	6	196

Merged error: 0.8b

Counts

196 → 6

regimes110.0ms

Accuracy

10.1% (4.3b remaining)

Error of 5.0b against oracle of 0.7b and baseline of 5.5b

bsearch75.0ms

Steps

Iters	Range		Point
7	3.4314545861647795e+170	2.3267381608670676e+172	2.2297645490091985e+171
8	188714837.7033442	2705890547756.2334	192338837.32575503

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	21
1	32	21

end0.0ms

sample2.2s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0.026391%

Guaranteed chance to sample good point: 49.240431%

Results

751.0ms	1515×	body	1280	valid
416.0ms	1397×	body	640	valid
268.0ms	4921×	body	80	valid
166.0ms	845×	body	320	valid
120.0ms	2931×	body	80	nan
56.0ms	451×	body	160	valid

Details

sample111.0ms

simplify114.0ms

prune6.0ms

localize6.0ms

rewrite33.0ms

series52.0ms

simplify96.0ms

prune208.0ms

localize16.0ms

rewrite37.0ms

series122.0ms

simplify85.0ms

prune176.0ms

localize15.0ms

rewrite32.0ms

series110.0ms

simplify72.0ms

prune194.0ms

localize11.0ms

rewrite41.0ms

series106.0ms

simplify104.0ms

prune253.0ms

regimes110.0ms

bsearch75.0ms

simplify2.0ms

end0.0ms

sample2.2s

Profiling