Details

analyze25.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
50%	50%	0.1%	3
74.9%	25%	0.1%	4
74.9%	25%	0.1%	5
87.4%	12.5%	0.1%	6
87.4%	12.5%	0.1%	7
93.7%	6.2%	0.1%	8
93.7%	6.2%	0.1%	9
96.8%	3.1%	0.1%	10
96.8%	3.1%	0.1%	11
98.3%	1.6%	0.1%	12
98.3%	1.6%	0.1%	13
99.1%	0.8%	0.1%	14

sample13.0ms

Algorithm

intervals

Results

5.0ms	237×	body	80	valid
1.0ms	7×	body	1280	valid
0.0ms	4×	body	2560	valid
0.0ms	3×	body	640	valid
0.0ms	4×	body	320	valid
0.0ms	1×	body	160	valid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	7
1	18	7

prune5.0ms

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: 0.1b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(- x (* (/ 3.0 8.0) y))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `sub-neg` `flip3--` `*-un-lft-identity` `diff-log` `add-cbrt-cube` `flip--`

Counts

1 → 11

Calls

1 calls:

3.0ms

(- x (* (/ 3.0 8.0) y))

series5.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

(- x (* (/ 3.0 8.0) y))

simplify37.0ms

Algorithm

egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4990	145
1	4990	145

prune29.0ms

Filtered

11 candidates to 14 candidates (-27.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	11	3	14
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	11	4	15

Merged error: 0.1b

Counts

15 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- x (* 3.0 (/ y 8.0)))) (cbrt (- x (* 3.0 (/ y 8.0)))))
0.5b	(cbrt (- x (* 3.0 (/ y 8.0))))
0.5b	(cbrt (- x (* 3.0 (/ y 8.0))))
0.5b	(cbrt (- x (* 3.0 (/ y 8.0))))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3--` `pow1/3` `flip--`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

8.0ms	(* (cbrt (- x (* 3.0 (/ y 8.0)))) (cbrt (- x (* 3.0 (/ y 8.0)))))
2.0ms	(cbrt (- x (* 3.0 (/ y 8.0))))
2.0ms	(cbrt (- x (* 3.0 (/ y 8.0))))
2.0ms	(cbrt (- x (* 3.0 (/ y 8.0))))

series161.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(* (cbrt (- x (* 3.0 (/ y 8.0)))) (cbrt (- x (* 3.0 (/ y 8.0)))))
38.0ms	(cbrt (- x (* 3.0 (/ y 8.0))))
40.0ms	(cbrt (- x (* 3.0 (/ y 8.0))))
38.0ms	(cbrt (- x (* 3.0 (/ y 8.0))))

simplify71.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4958	1407
1	4958	1407

prune217.0ms

Filtered

70 candidates to 99 candidates (-41.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	93	6	99
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	95	8	103

Merged error: 0.0b

Counts

103 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- x (* 3.0 (/ y 8.0))))
0.5b	(pow (cbrt (cbrt (- x (* 3.0 (/ y 8.0))))) 2)
0.5b	(cbrt (cbrt (- x (* 3.0 (/ y 8.0)))))
0.5b	(cbrt (cbrt (- x (* 3.0 (/ y 8.0)))))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

30×	`cbrt-prod`
13×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
10×	`cbrt-div`
9×	`unpow-prod-down`
5×	`pow1` `add-exp-log`
4×	`pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`pow-unpow` `flip3--` `flip--`
2×	`pow-pow`
1×	`pow-to-exp` `pow-exp` `unpow2` `sqr-pow`

Counts

4 → 70

Calls

4 calls:

2.0ms	(cbrt (- x (* 3.0 (/ y 8.0))))
5.0ms	(pow (cbrt (cbrt (- x (* 3.0 (/ y 8.0))))) 2)
3.0ms	(cbrt (cbrt (- x (* 3.0 (/ y 8.0)))))
3.0ms	(cbrt (cbrt (- x (* 3.0 (/ y 8.0)))))

series156.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(cbrt (- x (* 3.0 (/ y 8.0))))
40.0ms	(pow (cbrt (cbrt (- x (* 3.0 (/ y 8.0))))) 2)
39.0ms	(cbrt (cbrt (- x (* 3.0 (/ y 8.0)))))
37.0ms	(cbrt (cbrt (- x (* 3.0 (/ y 8.0)))))

simplify67.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4908	1098
1	4908	1098

prune288.0ms

Filtered

64 candidates to 82 candidates (-28.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	81	1	82
Fresh	1	5	6
Picked	1	0	1
Done	0	1	1
Total	83	7	90

Merged error: 0.0b

Counts

90 → 7

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (cbrt (- x (* 3.0 (/ y 8.0)))))
0.5b	(cbrt (cbrt (- x (* 3.0 (/ y 8.0)))))
0.6b	(cbrt (cbrt (cbrt (- x (* 3.0 (/ y 8.0))))))
0.6b	(cbrt (cbrt (cbrt (- x (* 3.0 (/ y 8.0))))))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

54×	`cbrt-prod`
20×	`cbrt-div`
14×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `flip3--` `pow1/3` `add-cbrt-cube` `flip--` `add-log-exp`

Counts

4 → 70

Calls

4 calls:

3.0ms	(cbrt (cbrt (- x (* 3.0 (/ y 8.0)))))
3.0ms	(cbrt (cbrt (- x (* 3.0 (/ y 8.0)))))
4.0ms	(cbrt (cbrt (cbrt (- x (* 3.0 (/ y 8.0))))))
4.0ms	(cbrt (cbrt (cbrt (- x (* 3.0 (/ y 8.0))))))

series155.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(cbrt (cbrt (- x (* 3.0 (/ y 8.0)))))
37.0ms	(cbrt (cbrt (- x (* 3.0 (/ y 8.0)))))
40.0ms	(cbrt (cbrt (cbrt (- x (* 3.0 (/ y 8.0))))))
38.0ms	(cbrt (cbrt (cbrt (- x (* 3.0 (/ y 8.0))))))

simplify71.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4917	1218
1	4917	1218

prune381.0ms

Filtered

66 candidates to 82 candidates (-24.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	82	7	89

Merged error: 0.0b

Counts

89 → 7

regimes235.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	7
1	8	7

end0.0ms

analyze17.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
50%	50%	0.1%	3
74.9%	25%	0.1%	4
74.9%	25%	0.1%	5
87.4%	12.5%	0.1%	6
87.4%	12.5%	0.1%	7
93.7%	6.2%	0.1%	8
93.7%	6.2%	0.1%	9
96.8%	3.1%	0.1%	10
96.8%	3.1%	0.1%	11
98.3%	1.6%	0.1%	12
98.3%	1.6%	0.1%	13
99.1%	0.8%	0.1%	14

sample332.0ms

Algorithm

intervals

Results

161.0ms	7389×	body	80	valid
19.0ms	209×	body	1280	valid
13.0ms	172×	body	640	valid
11.0ms	97×	body	2560	valid
5.0ms	88×	body	320	valid
2.0ms	45×	body	160	valid

Details

analyze25.0ms

sample13.0ms

simplify3.0ms

prune5.0ms

localize4.0ms

rewrite3.0ms

series5.0ms

simplify37.0ms

prune29.0ms

localize9.0ms

rewrite17.0ms

series161.0ms

simplify71.0ms

prune217.0ms

localize14.0ms

rewrite14.0ms

series156.0ms

simplify67.0ms

prune288.0ms

localize19.0ms

rewrite15.0ms

series155.0ms

simplify71.0ms

prune381.0ms

regimes235.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze17.0ms

sample332.0ms

Profiling