Details

analyze42.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	50%	50%	2
0%	50%	50%	3
25%	25%	50%	4
25%	25%	50%	5
31.2%	18.7%	50%	6
34.3%	15.6%	50%	7
39%	10.9%	50%	8
40.6%	8.6%	50.8%	9
42.9%	5.9%	51.2%	10
43.7%	4.5%	51.8%	11
44.9%	3%	52.1%	12
45.3%	2.3%	52.4%	13
45.9%	1.5%	52.6%	14

sample18.0ms

Algorithm

intervals

Results

10.0ms	256×	body	80	valid
0.0ms	6×	body	80	invalid

simplify35.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	799	14
1	799	14

prune6.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.2b

Counts

2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1.0 (/ 1.0 (* x 9.0)))
0.2b	(/ y (* 3.0 (sqrt x)))
0.2b	(/ 1.0 (* x 9.0))
0.3b	(* 3.0 (sqrt x))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
16×	`add-exp-log` `add-cbrt-cube`
13×	`*-un-lft-identity`
11×	`add-cube-cbrt`
6×	`pow1` `times-frac` `associate-r` `associate-/l*` `add-log-exp`
4×	`cbrt-undiv` `div-exp` `sqrt-prod`
3×	`associate-l` `prod-exp` `cbrt-unprod`
2×	`frac-2neg` `clear-num` `associate-/r*` `div-inv` `unswap-sqr`
1×	`sub-neg` `flip3--` `diff-log` `pow-prod-down` `*-commutative` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 77

Calls

4 calls:

5.0ms	(- 1.0 (/ 1.0 (* x 9.0)))
5.0ms	(/ y (* 3.0 (sqrt x)))
4.0ms	(/ 1.0 (* x 9.0))
5.0ms	(* 3.0 (sqrt x))

series21.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(- 1.0 (/ 1.0 (* x 9.0)))
12.0ms	(/ y (* 3.0 (sqrt x)))
2.0ms	(/ 1.0 (* x 9.0))
4.0ms	(* 3.0 (sqrt x))

simplify47.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5025	703

prune157.0ms

Filtered

64 candidates to 89 candidates (-39.1%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	79	10	89
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	80	10	90

Merged error: 0.0b

Counts

90 → 10

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 1.0 (/ 1.0 (* x 9.0)))
0.2b	(/ 1.0 (* x 9.0))
0.3b	(/ (/ y 3.0) (sqrt x))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

144×	`times-frac`
84×	`add-sqr-sqrt` `*-un-lft-identity`
82×	`add-cube-cbrt`
42×	`sqrt-prod`
16×	`associate-/l*`
13×	`add-exp-log` `add-cbrt-cube`
9×	`div-inv`
7×	`associate-/r*`
5×	`cbrt-undiv` `div-exp` `add-log-exp`
3×	`pow1`
2×	`frac-2neg` `clear-num`
1×	`sub-neg` `flip3--` `diff-log` `prod-exp` `flip--` `cbrt-unprod` `associate-/l/` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 146

Calls

3 calls:

5.0ms	(- 1.0 (/ 1.0 (* x 9.0)))
4.0ms	(/ 1.0 (* x 9.0))
7.0ms	(/ (/ y 3.0) (sqrt x))

series14.0ms

Counts

3 → 9

Calls

3 calls:

3.0ms	(- 1.0 (/ 1.0 (* x 9.0)))
2.0ms	(/ 1.0 (* x 9.0))
9.0ms	(/ (/ y 3.0) (sqrt x))

simplify72.0ms

Algorithm

egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4972	1868
1	4972	1868

prune193.0ms

Filtered

103 candidates to 155 candidates (-50.5%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	154	1	155
Fresh	2	7	9
Picked	0	1	1
Done	0	0	0
Total	156	9	165

Merged error: 0.0b

Counts

165 → 9

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1.0 (/ (/ 1.0 x) 9.0))
0.2b	(/ y (* 3.0 (sqrt x)))
0.3b	(/ (/ 1.0 x) 9.0)
0.3b	(* 3.0 (sqrt x))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

81×	`times-frac`
64×	`add-sqr-sqrt`
53×	`*-un-lft-identity`
51×	`add-cube-cbrt`
16×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
6×	`pow1` `associate-r` `div-inv` `add-log-exp`
5×	`cbrt-undiv` `div-exp`
4×	`associate-/r*` `sqrt-prod`
3×	`associate-l` `difference-of-squares`
2×	`frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `unswap-sqr`
1×	`sub-neg` `flip3--` `diff-log` `pow-prod-down` `*-commutative` `flip--` `associate-/l/` `distribute-lft-out--`

Counts

4 → 128

Calls

4 calls:

16.0ms	(- 1.0 (/ (/ 1.0 x) 9.0))
5.0ms	(/ y (* 3.0 (sqrt x)))
6.0ms	(/ (/ 1.0 x) 9.0)
5.0ms	(* 3.0 (sqrt x))

series18.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(- 1.0 (/ (/ 1.0 x) 9.0))
9.0ms	(/ y (* 3.0 (sqrt x)))
2.0ms	(/ (/ 1.0 x) 9.0)
4.0ms	(* 3.0 (sqrt x))

simplify56.0ms

Algorithm

egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5073	1374

prune211.0ms

Filtered

109 candidates to 140 candidates (-28.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	138	2	140
Fresh	2	5	7
Picked	1	0	1
Done	0	1	1
Total	141	8	149

Merged error: 0b

Counts

149 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ y (* 3.0 (sqrt x)))
0.2b	(/ (/ 1.0 (* x (sqrt 9.0))) (sqrt 9.0))
0.3b	(/ 1.0 (* x (sqrt 9.0)))
0.3b	(* 3.0 (sqrt x))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

69×	`times-frac`
45×	`add-sqr-sqrt`
41×	`add-cube-cbrt` `*-un-lft-identity`
28×	`sqrt-prod`
25×	`add-exp-log` `add-cbrt-cube`
13×	`associate-/l*`
10×	`div-inv`
9×	`cbrt-undiv` `div-exp`
8×	`associate-/r*`
6×	`pow1` `associate-r`
4×	`prod-exp` `cbrt-unprod` `add-log-exp`
3×	`frac-2neg` `associate-l` `clear-num`
2×	`unswap-sqr`
1×	`pow-prod-down` `*-commutative` `associate-/l/`

Counts

4 → 136

Calls

4 calls:

5.0ms	(/ y (* 3.0 (sqrt x)))
8.0ms	(/ (/ 1.0 (* x (sqrt 9.0))) (sqrt 9.0))
5.0ms	(/ 1.0 (* x (sqrt 9.0)))
5.0ms	(* 3.0 (sqrt x))

series32.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(/ y (* 3.0 (sqrt x)))
14.0ms	(/ (/ 1.0 (* x (sqrt 9.0))) (sqrt 9.0))
6.0ms	(/ 1.0 (* x (sqrt 9.0)))
4.0ms	(* 3.0 (sqrt x))

simplify67.0ms

Algorithm

egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4949	1476
1	4949	1476

prune214.0ms

Filtered

98 candidates to 148 candidates (-51.0%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	148	0	148
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	148	8	156

Merged error: 0b

Counts

156 → 8

regimes109.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	52	14
1	52	14

end0.0ms

sample461.0ms

Algorithm

intervals

Results

330.0ms	8000×	body	80	valid
4.0ms	113×	body	80	invalid

Details

analyze42.0ms

sample18.0ms

simplify35.0ms

prune6.0ms

localize10.0ms

rewrite21.0ms

series21.0ms

simplify47.0ms

prune157.0ms

localize10.0ms

rewrite23.0ms

series14.0ms

simplify72.0ms

prune193.0ms

localize10.0ms

rewrite35.0ms

series18.0ms

simplify56.0ms

prune211.0ms

localize11.0ms

rewrite26.0ms

series32.0ms

simplify67.0ms

prune214.0ms

regimes109.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample461.0ms

Profiling