Details

analyze629.0ms

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
0%	99.9%	0.1%	5
3.1%	90.5%	6.3%	6
4.7%	85.9%	9.5%	7
21.1%	64%	14.9%	8
23.4%	58.9%	17.7%	9
27.7%	51.3%	21%	10
28.9%	48.5%	22.6%	11
31.1%	44.4%	24.5%	12
31.7%	42.9%	25.4%	13
32.7%	41%	26.3%	14

sample125.0ms

Algorithm

intervals

Results

24.0ms	47×	body	1280	valid
14.0ms	42×	body	640	valid
7.0ms	134×	body	80	valid
4.0ms	21×	body	320	valid
2.0ms	12×	body	160	valid

simplify37.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4985	9
1	4985	9

prune11.0ms

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: 10.8b

Counts

2 → 1

localize35.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ x (+ x y))
0.0b	(/ (pow (/ x (+ x y)) x) x)
10.8b	(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:

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

simplify66.0ms

Algorithm

egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5011	2849

prune224.0ms

Filtered

134 candidates to 181 candidates (-35.1%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	171	10	181
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	172	10	182

Merged error: 0.9b

Counts

182 → 10

localize70.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ x y))
0.6b	(cbrt (+ x y))
6.2b	(pow (/ (cbrt x) (cbrt (+ x y))) x)
6.7b	(pow (* (/ (cbrt x) (cbrt (+ x y))) (/ (cbrt x) (cbrt (+ x y)))) x)

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

53×	`cbrt-prod`
51×	`*-un-lft-identity`
49×	`unpow-prod-down`
42×	`times-frac`
35×	`add-sqr-sqrt` `add-cube-cbrt`
20×	`add-exp-log`
13×	`pow1`
8×	`distribute-lft-out`
7×	`pow-pow` `pow-exp`
6×	`pow-unpow` `cbrt-div`
5×	`div-exp`
4×	`prod-exp` `add-cbrt-cube` `add-log-exp`
3×	`flip3-+` `flip-+`
2×	`pow-to-exp` `pow1/3` `associate-/r/` `sqr-pow`
1×	`pow2` `pow-plus` `pow-prod-down` `pow-sqr` `pow-prod-up` `div-inv`

Counts

4 → 115

Calls

4 calls:

3.0ms	(cbrt (+ x y))
3.0ms	(cbrt (+ x y))
10.0ms	(pow (/ (cbrt x) (cbrt (+ x y))) x)
17.0ms	(pow (* (/ (cbrt x) (cbrt (+ x y))) (/ (cbrt x) (cbrt (+ x y)))) x)

series124.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(cbrt (+ x y))
30.0ms	(cbrt (+ x y))
25.0ms	(pow (/ (cbrt x) (cbrt (+ x y))) x)
37.0ms	(pow (* (/ (cbrt x) (cbrt (+ x y))) (/ (cbrt x) (cbrt (+ x y)))) x)

simplify66.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4928	2147
1	4928	2147

prune188.0ms

Filtered

86 candidates to 127 candidates (-47.7%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	126	1	127
Fresh	1	8	9
Picked	1	0	1
Done	0	0	0
Total	128	9	137

Merged error: 0.9b

Counts

137 → 9

localize65.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ x y))
0.6b	(cbrt (+ x y))
6.2b	(pow (/ (cbrt x) (cbrt (+ x y))) x)
6.2b	(pow (/ (cbrt x) (cbrt (+ x y))) (* x 2))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 152

Calls

4 calls:

3.0ms	(cbrt (+ x y))
3.0ms	(cbrt (+ x y))
10.0ms	(pow (/ (cbrt x) (cbrt (+ x y))) x)
10.0ms	(pow (/ (cbrt x) (cbrt (+ x y))) (* x 2))

series113.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(cbrt (+ x y))
29.0ms	(cbrt (+ x y))
25.0ms	(pow (/ (cbrt x) (cbrt (+ x y))) x)
26.0ms	(pow (/ (cbrt x) (cbrt (+ x y))) (* x 2))

simplify79.0ms

Algorithm

egg-herbie

Counts

164 → 164

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4983	3147
1	4983	3147

prune240.0ms

Filtered

111 candidates to 164 candidates (-47.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	164	0	164
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	164	9	173

Merged error: 0.9b

Counts

173 → 9

localize40.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (/ (pow (/ x (+ x y)) x) x))
10.8b	(pow (/ x (+ x y)) x)
10.8b	(pow (/ x (+ x y)) x)
10.8b	(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:

10.0ms	(cbrt (/ (pow (/ x (+ x y)) x) x))
6.0ms	(pow (/ x (+ x y)) x)
9.0ms	(pow (/ x (+ x y)) x)
6.0ms	(pow (/ x (+ x y)) x)

series93.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify69.0ms

Algorithm

egg-herbie

Counts

190 → 190

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4978	3840
1	4978	3840

prune235.0ms

Filtered

143 candidates to 190 candidates (-32.9%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	189	1	190
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	189	10	199

Merged error: 0.9b

Counts

199 → 10

regimes185.0ms

Accuracy

30.9% (3.5b remaining)

Error of 4.1b against oracle of 0.6b and baseline of 5.7b

bsearch142.0ms

Steps

Iters	Range		Point
10	4.769579586879151e+137	2.18077948146098e+154	2.1445464243574002e+154
9	12223.607805713522	964267714086.5869	12433.702630748592

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	44
1	30	44

end0.0ms

sample3.4s

Algorithm

intervals

Results

725.0ms	1431×	body	1280	valid
389.0ms	1262×	body	640	valid
236.0ms	4322×	body	80	valid
129.0ms	626×	body	320	valid
47.0ms	359×	body	160	valid

Details

analyze629.0ms

sample125.0ms

simplify37.0ms

prune11.0ms

localize35.0ms

rewrite29.0ms

series46.0ms

simplify66.0ms

prune224.0ms

localize70.0ms

rewrite37.0ms

series124.0ms

simplify66.0ms

prune188.0ms

localize65.0ms

rewrite36.0ms

series113.0ms

simplify79.0ms

prune240.0ms

localize40.0ms

rewrite41.0ms

series93.0ms

simplify69.0ms

prune235.0ms

regimes185.0ms

bsearch142.0ms

simplify1.0ms

end0.0ms

sample3.4s

Profiling