Details

analyze940.0ms

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
0%	99.9%	0.1%	6
0%	99.9%	0.1%	7
0%	99.9%	0.1%	8
2.7%	90.9%	6.4%	9
4.1%	86.4%	9.5%	10
4.4%	86.1%	9.5%	11
19.7%	65.3%	15%	12
21.9%	60.4%	17.7%	13
22.7%	59.6%	17.7%	14

sample58.0ms

Algorithm

intervals

Results

14.0ms	26×	body	1280	valid
12.0ms	186×	body	80	valid
8.0ms	23×	body	640	valid
3.0ms	15×	body	320	valid
2.0ms	39×	body	80	nan
2.0ms	6×	body	640	invalid
2.0ms	9×	body	320	invalid
1.0ms	3×	body	1280	invalid
1.0ms	16×	body	80	invalid
1.0ms	6×	body	160	valid
0.0ms	1×	body	160	invalid

simplify35.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	4988	11
1	4988	11

prune8.0ms

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: 6.0b

Counts

2 → 1

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (pow (/ y (+ y z)) y) y)
0.0b	(+ x (/ (pow (/ y (+ y z)) y) y))
0.0b	(/ y (+ y z))
5.1b	(pow (/ y (+ y z)) y)

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 184

Calls

4 calls:

10.0ms	(/ (pow (/ y (+ y z)) y) y)
20.0ms	(+ x (/ (pow (/ y (+ y z)) y) y))
5.0ms	(/ y (+ y z))
7.0ms	(pow (/ y (+ y z)) y)

series67.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(/ (pow (/ y (+ y z)) y) y)
20.0ms	(+ x (/ (pow (/ y (+ y z)) y) y))
5.0ms	(/ y (+ y z))
21.0ms	(pow (/ y (+ y z)) y)

simplify67.0ms

Algorithm

egg-herbie

Counts

196 → 196

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4951	3086
1	4951	3086

prune221.0ms

Filtered

147 candidates to 196 candidates (-33.3%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	190	6	196
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	191	6	197

Merged error: 0.4b

Counts

197 → 6

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ y z))
0.6b	(cbrt (+ y z))
0.7b	(pow (/ (cbrt y) (cbrt (+ y z))) y)
1.2b	(pow (* (/ (cbrt y) (cbrt (+ y z))) (/ (cbrt y) (cbrt (+ y z)))) y)

rewrite40.0ms

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 (+ y z))
3.0ms	(cbrt (+ y z))
10.0ms	(pow (/ (cbrt y) (cbrt (+ y z))) y)
19.0ms	(pow (* (/ (cbrt y) (cbrt (+ y z))) (/ (cbrt y) (cbrt (+ y z)))) y)

series125.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(cbrt (+ y z))
30.0ms	(cbrt (+ y z))
30.0ms	(pow (/ (cbrt y) (cbrt (+ y z))) y)
35.0ms	(pow (* (/ (cbrt y) (cbrt (+ y z))) (/ (cbrt y) (cbrt (+ y z)))) y)

simplify41.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	4976	2259
1	4976	2259

prune190.0ms

Filtered

98 candidates to 127 candidates (-29.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	127	0	127
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	127	6	133

Merged error: 0.4b

Counts

133 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (/ (pow (/ y (+ y z)) y) y))
5.1b	(pow (/ y (+ y z)) y)
5.1b	(pow (/ y (+ y z)) y)
5.1b	(pow (/ y (+ y z)) y)

rewrite43.0ms

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

series95.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(cbrt (/ (pow (/ y (+ y z)) y) y))
18.0ms	(pow (/ y (+ y z)) y)
18.0ms	(pow (/ y (+ y z)) y)
18.0ms	(pow (/ y (+ y z)) y)

simplify70.0ms

Algorithm

egg-herbie

Counts

190 → 190

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4950	3907
1	4950	3907

prune251.0ms

Filtered

143 candidates to 190 candidates (-32.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

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

Merged error: 0.4b

Counts

196 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
5.1b	(pow (/ y (+ y z)) y)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
18×	`unpow-prod-down`
16×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`times-frac`
9×	`cbrt-prod`
7×	`add-exp-log`
5×	`pow1`
4×	`add-cbrt-cube` `add-log-exp`
3×	`pow-unpow` `pow1/3` `distribute-lft-out`
2×	`pow-exp` `associate-/r/`
1×	`pow-to-exp` `pow-pow` `flip3-+` `div-exp` `flip-+` `div-inv` `sqr-pow`

Counts

4 → 66

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
9.0ms	(pow (/ y (+ y z)) y)

series85.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(cbrt y)
21.0ms	(cbrt y)
21.0ms	(cbrt y)
18.0ms	(pow (/ y (+ y z)) y)

simplify62.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4958	747
1	4958	747

prune80.0ms

Filtered

56 candidates to 78 candidates (-39.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	77	1	78
Fresh	0	3	3
Picked	0	1	1
Done	1	1	2
Total	78	6	84

Merged error: 0.4b

Counts

84 → 6

regimes185.0ms

Accuracy

0% (1.5b remaining)

Error of 2.3b against oracle of 0.7b and baseline of 2.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	31
1	16	31

end0.0ms

sample1.6s

Algorithm

intervals

Results

383.0ms	6069×	body	80	valid
356.0ms	679×	body	1280	valid
209.0ms	639×	body	640	valid
87.0ms	394×	body	320	valid
80.0ms	259×	body	640	invalid
56.0ms	112×	body	1280	invalid
51.0ms	1066×	body	80	nan
40.0ms	183×	body	320	invalid
33.0ms	219×	body	160	valid
21.0ms	347×	body	80	invalid
16.0ms	103×	body	160	invalid

Details

analyze940.0ms

sample58.0ms

simplify35.0ms

prune8.0ms

localize13.0ms

rewrite51.0ms

series67.0ms

simplify67.0ms

prune221.0ms

localize16.0ms

rewrite40.0ms

series125.0ms

simplify41.0ms

prune190.0ms

localize13.0ms

rewrite43.0ms

series95.0ms

simplify70.0ms

prune251.0ms

localize13.0ms

rewrite15.0ms

series85.0ms

simplify62.0ms

prune80.0ms

regimes185.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.6s

Profiling