Details

analyze580.0ms

Algorithm: search

sample63.0ms

Algorithm

intervals

Results

24.0ms	49×	body	1280	valid
8.0ms	148×	body	80	valid
7.0ms	23×	body	640	valid
5.0ms	25×	body	320	valid
3.0ms	5×	body	320	invalid
1.0ms	11×	body	160	valid
1.0ms	5×	body	640	invalid
1.0ms	3×	body	1280	invalid
1.0ms	5×	body	160	invalid
0.0ms	8×	body	80	nan
0.0ms	2×	body	80	invalid

simplify111.0ms

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: 13.2b

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

rewrite29.0ms

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:

10.0ms	(/ (pow (/ x (+ x y)) x) x)
5.0ms	(/ x (+ x y))
6.0ms	(pow (/ x (+ x y)) x)

series47.0ms

Counts

3 → 9

Calls

3 calls:

20.0ms	(/ (pow (/ x (+ x y)) x) x)
9.0ms	(/ x (+ x y))
18.0ms	(pow (/ x (+ x y)) x)

simplify97.0ms

Algorithm

egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 1 (21.0ms)

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

prune223.0ms

Filtered

134 candidates to 181 candidates (-35.1%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	175	6	181
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	176	6	182

Merged error: 0.9b

Counts

182 → 6

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.7b	(pow (/ (cbrt x) (cbrt (+ x y))) x)
2.2b	(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

rewrite34.0ms

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)
12.0ms	(pow (/ (cbrt x) (cbrt (+ x y))) x)
15.0ms	(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

series106.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(cbrt x)
25.0ms	(cbrt x)
26.0ms	(pow (/ (cbrt x) (cbrt (+ x y))) x)
35.0ms	(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

simplify89.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (73.0ms)

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

prune178.0ms

Filtered

88 candidates to 128 candidates (-45.5%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	127	1	128
Fresh	2	3	5
Picked	1	0	1
Done	0	0	0
Total	130	4	134

Merged error: 0.9b

Counts

134 → 4

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.7b	(pow (/ (cbrt x) (cbrt (+ x y))) x)
3.8b	(log (/ (cbrt x) (cbrt (+ x y))))

rewrite28.0ms

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)
10.0ms	(pow (/ (cbrt x) (cbrt (+ x y))) x)
9.0ms	(log (/ (cbrt x) (cbrt (+ x y))))

series95.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt x)
24.0ms	(cbrt x)
26.0ms	(pow (/ (cbrt x) (cbrt (+ x y))) x)
24.0ms	(log (/ (cbrt x) (cbrt (+ x y))))

simplify76.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 2 (58.0ms)

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

prune399.0ms

Filtered

103 candidates to 156 candidates (-51.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	156	0	156
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	156	4	160

Merged error: 0.9b

Counts

160 → 4

localize12.0ms

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)

rewrite38.0ms

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:

10.0ms	(cbrt (/ (pow (/ x (+ x y)) x) x))
6.0ms	(pow (/ x (+ x y)) x)
6.0ms	(pow (/ x (+ x y)) x)
6.0ms	(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)
20.0ms	(pow (/ x (+ x y)) x)
18.0ms	(pow (/ x (+ x y)) x)

simplify110.0ms

Algorithm

egg-herbie

Counts

190 → 190

Iterations

Useful iterations: 2 (83.0ms)

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

prune269.0ms

Filtered

142 candidates to 190 candidates (-33.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

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

Merged error: 0.9b

Counts

194 → 5

regimes103.0ms

Accuracy

9.6% (4.4b remaining)

Error of 5.1b against oracle of 0.7b and baseline of 5.6b

bsearch283.0ms

Steps

Iters	Range		Point
8	9.006582184113353e+193	3.2524856458989938e+196	1.91803433973956e+194
10	0.0555463692286281	11886277552936488.0	98.46666877586597

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	21
1	32	21

end0.0ms

analyze581.0ms

Algorithm: search

sample1.8s

Algorithm

intervals

Results

704.0ms	1404×	body	1280	valid
357.0ms	1190×	body	640	valid
239.0ms	4406×	body	80	valid
131.0ms	658×	body	320	valid
69.0ms	228×	body	640	invalid
45.0ms	342×	body	160	valid
42.0ms	89×	body	1280	invalid
39.0ms	204×	body	320	invalid
11.0ms	88×	body	160	invalid
8.0ms	198×	body	80	nan
8.0ms	137×	body	80	invalid

Details

analyze580.0ms

sample63.0ms

simplify111.0ms

prune7.0ms

localize7.0ms

rewrite29.0ms

series47.0ms

simplify97.0ms

prune223.0ms

localize17.0ms

rewrite34.0ms

series106.0ms

simplify89.0ms

prune178.0ms

localize16.0ms

rewrite28.0ms

series95.0ms

simplify76.0ms

prune399.0ms

localize12.0ms

rewrite38.0ms

series94.0ms

simplify110.0ms

prune269.0ms

regimes103.0ms

bsearch283.0ms

simplify2.0ms

end0.0ms

analyze581.0ms

sample1.8s

Profiling