Details

sample1.8s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 27.182007%

Guaranteed chance to sample good point: 46.087758%

Results

20.0ms	39×	body	1280	valid
14.0ms	46×	body	640	valid
8.0ms	140×	body	80	valid
3.0ms	14×	body	320	valid
2.0ms	17×	body	160	valid
2.0ms	4×	body	1280	invalid
1.0ms	5×	body	640	invalid
1.0ms	8×	body	160	invalid
1.0ms	4×	body	320	invalid
0.0ms	7×	body	80	invalid
0.0ms	2×	body	80	nan

simplify101.0ms

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	3515	4
7	5001	4

prune9.0ms

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: 12.0b

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)
7.3b	(pow (/ x (+ x y)) x)

rewrite31.0ms

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)

series46.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(/ x (+ x y))
20.0ms	(/ (pow (/ x (+ x y)) x) x)
18.0ms	(pow (/ x (+ x y)) x)

simplify96.0ms

Algorithm

egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 1 (20.0ms)

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

prune185.0ms

Filtered

134 candidates to 181 candidates (-35.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	178	3	181
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	178	4	182

Merged error: 0.4b

Counts

182 → 4

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

61×	`unpow-prod-down`
53×	`cbrt-prod`
52×	`*-un-lft-identity`
43×	`times-frac`
36×	`add-sqr-sqrt` `add-cube-cbrt`
20×	`add-exp-log`
18×	`cbrt-div`
10×	`associate-/r/`
9×	`flip3-+` `flip-+`
8×	`distribute-lft-out`
7×	`pow-exp`
6×	`pow1` `pow-unpow`
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 → 122

Calls

4 calls:

3.0ms	(cbrt (+ x y))
3.0ms	(cbrt (+ x y))
15.0ms	(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)
13.0ms	(pow (/ (cbrt x) (cbrt (+ x y))) x)

series124.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(cbrt (+ x y))
30.0ms	(cbrt (+ x y))
38.0ms	(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)
26.0ms	(pow (/ (cbrt x) (cbrt (+ x y))) x)

simplify91.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 2 (74.0ms)

Iter	Nodes	Cost
0	1015	1704
1	3622	1621
2	5001	1580

prune177.0ms

Filtered

94 candidates to 134 candidates (-42.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	134	0	134
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	134	4	138

Merged error: 0.4b

Counts

138 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (/ (pow (/ x (+ x y)) x) x))
7.3b	(pow (/ x (+ x y)) x)
7.3b	(pow (/ x (+ x y)) x)
7.3b	(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))
7.0ms	(pow (/ x (+ x y)) x)
7.0ms	(pow (/ x (+ x y)) x)
7.0ms	(pow (/ x (+ x y)) x)

series94.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(cbrt (/ (pow (/ x (+ x y)) x) x))
17.0ms	(pow (/ x (+ x y)) x)
17.0ms	(pow (/ x (+ x y)) x)
21.0ms	(pow (/ x (+ x y)) x)

simplify108.0ms

Algorithm

egg-herbie

Counts

190 → 190

Iterations

Useful iterations: 2 (82.0ms)

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

prune264.0ms

Filtered

142 candidates to 190 candidates (-33.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	188	2	190
Fresh	0	1	1
Picked	1	0	1
Done	0	2	2
Total	189	5	194

Merged error: 0.4b

Counts

194 → 5

localize23.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (/ 1 (* (cbrt x) (cbrt x))))
7.3b	(pow (/ x (+ x y)) x)
7.3b	(pow (/ x (+ x y)) x)
7.3b	(pow (/ x (+ x y)) x)

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

54×	`unpow-prod-down`
51×	`*-un-lft-identity`
39×	`times-frac`
33×	`add-sqr-sqrt` `add-cube-cbrt`
13×	`add-exp-log`
9×	`pow-unpow` `distribute-lft-out`
7×	`pow1` `cbrt-prod`
6×	`pow-exp` `associate-/r/`
4×	`add-cbrt-cube` `div-inv` `add-log-exp`
3×	`pow-to-exp` `pow-pow` `flip3-+` `div-exp` `flip-+` `sqr-pow`
1×	`cbrt-div` `pow1/3`

Counts

4 → 115

Calls

4 calls:

5.0ms	(cbrt (/ 1 (* (cbrt x) (cbrt x))))
7.0ms	(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:

41.0ms	(cbrt (/ 1 (* (cbrt x) (cbrt x))))
17.0ms	(pow (/ x (+ x y)) x)
21.0ms	(pow (/ x (+ x y)) x)
17.0ms	(pow (/ x (+ x y)) x)

simplify57.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	494	1203
1	1943	1147
2	5002	1049

prune179.0ms

Filtered

91 candidates to 127 candidates (-39.6%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	124	3	127
Fresh	1	1	2
Picked	0	1	1
Done	0	2	2
Total	125	7	132

Merged error: 0.4b

Counts

132 → 7

regimes126.0ms

Accuracy

25% (3.9b remaining)

Error of 5.5b against oracle of 1.6b and baseline of 6.8b

bsearch114.0ms

Steps

Iters	Range		Point
8	2.1548997474004827e+162	6.657144532790112e+166	2.4173038714585595e+162
9	0.10723841093899311	89356837.62704171	291.7995052462423

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	23
1	29	23

end0.0ms

sample3.9s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 27.182007%

Guaranteed chance to sample good point: 46.087758%

Results

950.0ms	1443×	body	1280	valid
366.0ms	1209×	body	640	valid
240.0ms	4340×	body	80	valid
132.0ms	652×	body	320	valid
63.0ms	220×	body	640	invalid
45.0ms	356×	body	160	valid
41.0ms	92×	body	1280	invalid
36.0ms	189×	body	320	invalid
11.0ms	92×	body	160	invalid
8.0ms	135×	body	80	invalid
3.0ms	77×	body	80	nan

Details

sample1.8s

simplify101.0ms

prune9.0ms

localize6.0ms

rewrite31.0ms

series46.0ms

simplify96.0ms

prune185.0ms

localize17.0ms

rewrite40.0ms

series124.0ms

simplify91.0ms

prune177.0ms

localize11.0ms

rewrite42.0ms

series94.0ms

simplify108.0ms

prune264.0ms

localize23.0ms

rewrite30.0ms

series96.0ms

simplify57.0ms

prune179.0ms

regimes126.0ms

bsearch114.0ms

simplify1.0ms

end0.0ms

sample3.9s

Profiling