Details

analyze93.0ms

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

sample12.0ms

Algorithm

intervals

Results

5.0ms	256×	body	80	valid
0.0ms	7×	body	80	invalid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	70	7
1	70	7

prune3.0ms

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))

rewrite4.0ms

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))

series7.0ms

Counts

1 → 3

Calls

1 calls:

7.0ms

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

simplify85.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	4529	332
1	4529	332

prune34.0ms

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

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (fabs y) (fabs (- x y)))
0.1b	(/ 1 (/ (fabs y) (fabs (- x y))))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
52×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
16×	`associate-/r*`
15×	`add-exp-log`
9×	`add-cbrt-cube`
8×	`div-exp`
6×	`div-inv` `associate-/l*`
4×	`cbrt-undiv`
3×	`pow1`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `add-log-exp`
1×	`pow-flip` `associate-/r/` `inv-pow`

Counts

2 → 103

Calls

2 calls:

3.0ms	(/ (fabs y) (fabs (- x y)))
5.0ms	(/ 1 (/ (fabs y) (fabs (- x y))))

series12.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(/ (fabs y) (fabs (- x y)))
6.0ms	(/ 1 (/ (fabs y) (fabs (- x y))))

simplify104.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (94.0ms)

Iter	Nodes	Cost
0	4562	1440
1	4562	1440

prune75.0ms

Filtered

67 candidates to 109 candidates (-62.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	109	0	109
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	109	3	112

Merged error: 0b

Counts

112 → 3

localize7.0ms

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))))

rewrite26.0ms

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))
2.0ms	(sqrt (/ (fabs (- x y)) (fabs y)))
3.0ms	(sqrt (/ (fabs (- x y)) (fabs y)))
12.0ms	(* (sqrt (/ (fabs (- x y)) (fabs y))) (sqrt (/ (fabs (- x y)) (fabs y))))

series33.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(/ (fabs (- x y)) (fabs y))
12.0ms	(sqrt (/ (fabs (- x y)) (fabs y)))
9.0ms	(sqrt (/ (fabs (- x y)) (fabs y)))
6.0ms	(* (sqrt (/ (fabs (- x y)) (fabs y))) (sqrt (/ (fabs (- x y)) (fabs y))))

simplify80.0ms

Algorithm

egg-herbie

Counts

176 → 176

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4935	2112
1	4935	2112

prune115.0ms

Filtered

113 candidates to 176 candidates (-55.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	176	0	176
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	176	3	179

Merged error: 0b

Counts

179 → 3

regimes109.0ms

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	16	7
1	16	7

end0.0ms

sample303.0ms

Algorithm

intervals

Results

175.0ms	8000×	body	80	valid
4.0ms	204×	body	80	invalid

Details

analyze93.0ms

sample12.0ms

simplify4.0ms

prune3.0ms

localize5.0ms

rewrite4.0ms

series7.0ms

simplify85.0ms

prune34.0ms

localize6.0ms

rewrite12.0ms

series12.0ms

simplify104.0ms

prune75.0ms

localize7.0ms

rewrite26.0ms

series33.0ms

simplify80.0ms

prune115.0ms

regimes109.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample303.0ms

Profiling