Details

analyze35.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
50%	50%	0.1%	2
50%	50%	0.1%	3
50%	50%	0.1%	4
62.4%	37.5%	0.1%	5
68.7%	31.2%	0.1%	6
68.7%	18.7%	12.6%	7
71.8%	15.6%	12.6%	8
71.8%	9.4%	18.8%	9
73.4%	7.8%	18.8%	10
73.4%	4.7%	22%	11
74.1%	3.9%	22%	12
74.1%	2.3%	23.5%	13
74.5%	2%	23.5%	14

sample18.0ms

Algorithm

intervals

Results

6.0ms	256×	body	80	valid
3.0ms	131×	body	80	invalid

simplify57.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5100	6

prune9.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Merged error: 0.0b

Counts

2 → 2

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(pow (exp y) y)
0.0b	(* x (pow (exp y) y))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`unpow-prod-down` `associate-r`
6×	`add-exp-log`
4×	`pow-pow` `add-cbrt-cube`
3×	`pow1` `pow-unpow` `exp-prod` `associate-l` `prod-exp` `unswap-sqr` `sqr-pow`
2×	`pow-to-exp` `pow-exp` `add-log-exp`
1×	`*-commutative` `cbrt-unprod`

Counts

2 → 45

Calls

2 calls:

3.0ms	(pow (exp y) y)
8.0ms	(* x (pow (exp y) y))

series18.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(pow (exp y) y)
13.0ms	(* x (pow (exp y) y))

simplify52.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5005	346

prune48.0ms

Filtered

30 candidates to 51 candidates (-70.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	49	2	51
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	50	3	53

Merged error: 0b

Counts

53 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (pow (exp y) y))
0.0b	(pow (exp y) y)
0.0b	(pow (sqrt (exp y)) y)
0.0b	(* x (pow (sqrt (exp y)) y))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
21×	`unpow-prod-down`
17×	`add-cube-cbrt` `*-un-lft-identity`
14×	`sqrt-prod`
10×	`add-exp-log` `pow-pow` `associate-r`
7×	`pow1`
6×	`pow-unpow` `exp-prod` `add-cbrt-cube` `sqr-pow`
5×	`sqrt-pow1`
4×	`add-log-exp` `unswap-sqr`
3×	`pow-to-exp` `rem-sqrt-square` `associate-l` `pow-exp` `prod-exp`
2×	`pow1/2`
1×	`*-commutative` `sqrt-pow2` `cbrt-unprod`

Counts

4 → 94

Calls

4 calls:

2.0ms	(sqrt (pow (exp y) y))
3.0ms	(pow (exp y) y)
4.0ms	(pow (sqrt (exp y)) y)
6.0ms	(* x (pow (sqrt (exp y)) y))

series30.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(sqrt (pow (exp y) y))
4.0ms	(pow (exp y) y)
4.0ms	(pow (sqrt (exp y)) y)
16.0ms	(* x (pow (sqrt (exp y)) y))

simplify74.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4962	799
1	4962	799

prune86.0ms

Filtered

66 candidates to 106 candidates (-60.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	106	0	106
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	106	3	109

Merged error: 0b

Counts

109 → 3

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* x (pow (sqrt (exp y)) y)) (pow (sqrt (exp y)) y))
0.0b	(pow (sqrt (exp y)) y)
0.0b	(pow (sqrt (exp y)) y)
0.0b	(* x (pow (sqrt (exp y)) y))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

37×	`add-exp-log`
26×	`add-sqr-sqrt` `unpow-prod-down`
24×	`prod-exp`
20×	`associate-r`
19×	`add-cube-cbrt` `*-un-lft-identity`
13×	`sqrt-prod`
12×	`pow-pow`
11×	`add-cbrt-cube`
10×	`pow-to-exp` `pow-exp`
8×	`pow1` `sqrt-pow1`
6×	`pow-unpow` `exp-prod`
5×	`sqr-pow`
4×	`associate-l` `cbrt-unprod` `add-log-exp` `unswap-sqr`
2×	`pow1/2` `*-commutative` `sqrt-pow2`

Counts

4 → 114

Calls

4 calls:

9.0ms	(* (* x (pow (sqrt (exp y)) y)) (pow (sqrt (exp y)) y))
4.0ms	(pow (sqrt (exp y)) y)
4.0ms	(pow (sqrt (exp y)) y)
6.0ms	(* x (pow (sqrt (exp y)) y))

series47.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* (* x (pow (sqrt (exp y)) y)) (pow (sqrt (exp y)) y))
4.0ms	(pow (sqrt (exp y)) y)
4.0ms	(pow (sqrt (exp y)) y)
19.0ms	(* x (pow (sqrt (exp y)) y))

simplify89.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	5074	999

prune79.0ms

Filtered

65 candidates to 126 candidates (-93.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	126	0	126
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	126	3	129

Merged error: 0b

Counts

129 → 3

regimes70.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	6
1	6	6

end0.0ms

sample508.0ms

Algorithm

intervals

Results

204.0ms	8000×	body	80	valid
97.0ms	4133×	body	80	invalid

Details

analyze35.0ms

sample18.0ms

simplify57.0ms

prune9.0ms

localize5.0ms

rewrite12.0ms

series18.0ms

simplify52.0ms

prune48.0ms

localize11.0ms

rewrite18.0ms

series30.0ms

simplify74.0ms

prune86.0ms

localize7.0ms

rewrite25.0ms

series47.0ms

simplify89.0ms

prune79.0ms

regimes70.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample508.0ms

Profiling