Details

analyze53.0ms

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
37.5%	62.4%	0.1%	5
43.7%	56.2%	0.1%	6
71.8%	28.1%	0.1%	7
73.4%	25%	1.7%	8
80.4%	16.4%	3.2%	9
80.8%	14%	5.2%	10
84.1%	8.8%	7.1%	11
84.2%	7.4%	8.4%	12
85.8%	4.5%	9.7%	13
85.8%	3.8%	10.4%	14

sample18.0ms

Algorithm

intervals

Results

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

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	101	7
1	101	7

prune4.0ms

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 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ (fabs (- x y)) (fabs y))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
3×	`add-exp-log` `associate-/r` `add-cbrt-cube` `associate-/l`
1×	`pow1` `cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv` `add-log-exp`

Counts

1 → 27

Calls

1 calls:

3.0ms

(/ (fabs (- x y)) (fabs y))

series6.0ms

Counts

1 → 3

Calls

1 calls:

6.0ms

(/ (fabs (- x y)) (fabs y))

simplify99.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 0 (96.0ms)

Iter	Nodes	Cost
0	4684	332
1	4684	332

prune42.0ms

Filtered

22 candidates to 30 candidates (-36.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	28	2	30
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	28	3	31

Merged error: 0b

Counts

31 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (fabs (- x y)) (fabs y))
0.1b	(sqrt (/ (fabs (- x y)) (fabs y)))
0.1b	(sqrt (/ (fabs (- x y)) (fabs y)))
0.2b	(* (sqrt (/ (fabs (- x y)) (fabs y))) (sqrt (/ (fabs (- x y)) (fabs y))))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

92×	`add-sqr-sqrt` `sqrt-prod`
71×	`times-frac`
58×	`add-cube-cbrt` `*-un-lft-identity`
21×	`pow1`
18×	`swap-sqr`
16×	`associate-r` `associate-l`
10×	`sqrt-pow1` `pow1/2`
9×	`unswap-sqr`
8×	`add-exp-log` `add-cbrt-cube`
7×	`div-inv`
6×	`sqrt-div`
5×	`pow-prod-up`
4×	`rem-sqrt-square` `add-log-exp`
3×	`pow-prod-down` `associate-/r` `pow-sqr` `associate-/l`
1×	`cbrt-undiv` `pow2` `frac-times` `frac-2neg` `pow-plus` `sqrt-unprod` `associate-r/` `div-exp` `associate-l/` `prod-exp` `clear-num` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 164

Calls

4 calls:

3.0ms	(/ (fabs (- x y)) (fabs y))
3.0ms	(sqrt (/ (fabs (- x y)) (fabs y)))
3.0ms	(sqrt (/ (fabs (- x y)) (fabs y)))
13.0ms	(* (sqrt (/ (fabs (- x y)) (fabs y))) (sqrt (/ (fabs (- x y)) (fabs y))))

series31.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(/ (fabs (- x y)) (fabs y))
9.0ms	(sqrt (/ (fabs (- x y)) (fabs y)))
10.0ms	(sqrt (/ (fabs (- x y)) (fabs y)))
6.0ms	(* (sqrt (/ (fabs (- x y)) (fabs y))) (sqrt (/ (fabs (- x y)) (fabs y))))

simplify71.0ms

Algorithm

egg-herbie

Counts

176 → 176

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4965	2121
1	4965	2121

prune148.0ms

Filtered

113 candidates to 176 candidates (-55.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	176	0	176
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	176	3	179

Merged error: 0b

Counts

179 → 3

localize6.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (fabs (- x y)) (/ 1 (fabs y)))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
13×	`associate-r`
11×	`times-frac`
10×	`add-exp-log` `*-un-lft-identity`
9×	`add-cube-cbrt`
6×	`add-cbrt-cube`
4×	`prod-exp`
3×	`pow1` `associate-l` `unswap-sqr`
2×	`div-exp` `cbrt-unprod`
1×	`cbrt-undiv` `rec-exp` `1-exp` `associate-r/` `pow-prod-down` `un-div-inv` `-commutative` `div-inv` `add-log-exp`

Counts

1 → 36

Calls

1 calls:

7.0ms

(* (fabs (- x y)) (/ 1 (fabs y)))

series8.0ms

Counts

1 → 3

Calls

1 calls:

7.0ms

(* (fabs (- x y)) (/ 1 (fabs y)))

simplify55.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4889	353
1	4889	353

prune34.0ms

Filtered

23 candidates to 39 candidates (-69.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	39	0	39
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	39	3	42

Merged error: 0b

Counts

42 → 3

regimes116.0ms

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 (1.0ms)

Iter	Nodes	Cost
0	41	7
1	41	7

end0.0ms

sample328.0ms

Algorithm

intervals

Results

190.0ms	8000×	body	80	valid
6.0ms	235×	body	80	invalid

Details

analyze53.0ms

sample18.0ms

simplify5.0ms

prune4.0ms

localize5.0ms

rewrite3.0ms

series6.0ms

simplify99.0ms

prune42.0ms

localize8.0ms

rewrite28.0ms

series31.0ms

simplify71.0ms

prune148.0ms

localize6.0ms

rewrite8.0ms

series8.0ms

simplify55.0ms

prune34.0ms

regimes116.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample328.0ms

Profiling