Details

analyze950.0ms

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

sample121.0ms

Algorithm

intervals

Results

11.0ms	200×	body	80	valid
9.0ms	17×	body	1280	valid
5.0ms	15×	body	640	valid
3.0ms	15×	body	320	valid
1.0ms	9×	body	160	valid

simplify36.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (34.0ms)

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: 5.5b

Counts

2 → 1

localize41.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ y (+ y z))
0.0b	(/ (pow (/ y (+ y z)) y) y)
9.8b	(pow (/ y (+ y z)) y)

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	(/ y (+ y z))
11.0ms	(/ (pow (/ y (+ y z)) y) y)
7.0ms	(pow (/ y (+ y z)) y)

series48.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(/ y (+ y z))
25.0ms	(/ (pow (/ y (+ y z)) y) y)
18.0ms	(pow (/ y (+ y z)) y)

simplify48.0ms

Algorithm

egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	4973	2891
1	4973	2891

prune187.0ms

Filtered

134 candidates to 181 candidates (-35.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	178	3	181
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	179	3	182

Merged error: 0.1b

Counts

182 → 3

localize71.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
4.4b	(pow (/ (cbrt y) (cbrt (+ y z))) y)
4.4b	(pow (* (/ (cbrt y) (cbrt (+ y z))) (/ (cbrt y) (cbrt (+ y z)))) y)

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 109

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
11.0ms	(pow (/ (cbrt y) (cbrt (+ y z))) y)
18.0ms	(pow (* (/ (cbrt y) (cbrt (+ y z))) (/ (cbrt y) (cbrt (+ y z)))) y)

series111.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(cbrt y)
22.0ms	(cbrt y)
27.0ms	(pow (/ (cbrt y) (cbrt (+ y z))) y)
39.0ms	(pow (* (/ (cbrt y) (cbrt (+ y z))) (/ (cbrt y) (cbrt (+ y z)))) y)

simplify71.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4939	2012
1	4939	2012

prune165.0ms

Filtered

90 candidates to 121 candidates (-34.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	121	3	124

Merged error: 0.1b

Counts

124 → 3

localize44.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (/ (pow (/ y (+ y z)) y) y))
9.8b	(pow (/ y (+ y z)) y)
9.8b	(pow (/ y (+ y z)) y)
9.8b	(pow (/ y (+ y z)) y)

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 (/ 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)

series97.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(cbrt (/ (pow (/ y (+ y z)) y) y))
18.0ms	(pow (/ y (+ y z)) y)
18.0ms	(pow (/ y (+ y z)) y)
22.0ms	(pow (/ y (+ y z)) y)

simplify73.0ms

Algorithm

egg-herbie

Counts

190 → 190

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4950	3907
1	4950	3907

prune240.0ms

Filtered

143 candidates to 190 candidates (-32.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	190	0	190
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	190	3	193

Merged error: 0.1b

Counts

193 → 3

localize48.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ y (+ y z))
0.0b	(/ (pow (/ y (+ y z)) y) y)
9.8b	(pow (/ y (+ y z)) y)
22.1b	(log (exp (/ (pow (/ y (+ y z)) y) y)))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

240×	`times-frac`
188×	`*-un-lft-identity`
144×	`unpow-prod-down`
132×	`add-sqr-sqrt` `add-cube-cbrt`
71×	`log-pow`
70×	`exp-prod`
28×	`distribute-lft-out`
25×	`associate-/l*`
18×	`associate-/r/`
17×	`add-exp-log`
11×	`div-inv`
9×	`flip3-+` `flip-+`
8×	`add-cbrt-cube` `sqr-pow`
7×	`div-exp` `associate-/r*`
6×	`pow1`
4×	`pow-exp` `add-log-exp`
3×	`pow-unpow` `log-prod`
2×	`cbrt-undiv` `pow-to-exp` `frac-2neg` `clear-num`
1×	`pow-pow` `rem-log-exp`

Counts

4 → 254

Calls

4 calls:

5.0ms	(/ y (+ y z))
11.0ms	(/ (pow (/ y (+ y z)) y) y)
7.0ms	(pow (/ y (+ y z)) y)
21.0ms	(log (exp (/ (pow (/ y (+ y z)) y) y)))

series70.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(/ y (+ y z))
21.0ms	(/ (pow (/ y (+ y z)) y) y)
22.0ms	(pow (/ y (+ y z)) y)
21.0ms	(log (exp (/ (pow (/ y (+ y z)) y) y)))

simplify91.0ms

Algorithm

egg-herbie

Counts

266 → 266

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4949	3942
1	4949	3942

prune297.0ms

Filtered

200 candidates to 266 candidates (-33.0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	266	0	266
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	266	3	269

Merged error: 0.1b

Counts

269 → 3

regimes147.0ms

Accuracy

0% (0.9b remaining)

Error of 2.1b against oracle of 1.2b and baseline of 2.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	31
1	16	31

end0.0ms

sample3.1s

Algorithm

intervals

Results

356.0ms	703×	body	1280	valid
331.0ms	5989×	body	80	valid
223.0ms	708×	body	640	valid
76.0ms	371×	body	320	valid
30.0ms	229×	body	160	valid

Details

analyze950.0ms

sample121.0ms

simplify36.0ms

prune8.0ms

localize41.0ms

rewrite31.0ms

series48.0ms

simplify48.0ms

prune187.0ms

localize71.0ms

rewrite36.0ms

series111.0ms

simplify71.0ms

prune165.0ms

localize44.0ms

rewrite41.0ms

series97.0ms

simplify73.0ms

prune240.0ms

localize48.0ms

rewrite59.0ms

series70.0ms

simplify91.0ms

prune297.0ms

regimes147.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample3.1s

Profiling