Details

analyze249.0ms

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
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
18.7%	81.1%	0.1%	7
21.8%	78%	0.1%	8
32.8%	67.1%	0.1%	9
43.7%	43.7%	12.6%	10
46.8%	40.6%	12.6%	11
52.7%	34.7%	12.6%	12
58.5%	22.6%	18.9%	13
60.5%	20.7%	18.9%	14

sample16.0ms

Algorithm

intervals

Results

6.0ms	256×	body	80	valid
1.0ms	23×	body	80	invalid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	28	7
1	28	7

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	(+ x (* (* y z) z))
0.2b	(* (* y z) z)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`add-log-exp`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`+-commutative` `flip3-+` `associate-l` `sum-log` `*-commutative` `flip-+`

Counts

2 → 29

Calls

2 calls:

3.0ms	(+ x (* (* y z) z))
4.0ms	(* (* y z) z)

series22.0ms

Counts

2 → 6

Calls

2 calls:

13.0ms	(+ x (* (* y z) z))
9.0ms	(* (* y z) z)

simplify39.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5049	256

prune40.0ms

Filtered

23 candidates to 35 candidates (-52.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	34	1	35
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	34	3	37

Merged error: 0.0b

Counts

37 → 3

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* y (* z z)))
9.2b	(* y (* z z))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`add-sqr-sqrt` `add-log-exp`
3×	`add-cube-cbrt` `-un-lft-identity` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`+-commutative` `flip3-+` `associate-r` `sum-log` `*-commutative` `flip-+` `unswap-sqr`

Counts

2 → 30

Calls

2 calls:

3.0ms	(+ x (* y (* z z)))
5.0ms	(* y (* z z))

series20.0ms

Counts

2 → 6

Calls

2 calls:

13.0ms	(+ x (* y (* z z)))
7.0ms	(* y (* z z))

simplify52.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4946	264
1	4946	264

prune40.0ms

Filtered

22 candidates to 36 candidates (-63.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	35	1	36
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	35	4	39

Merged error: 0.0b

Counts

39 → 4

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b	(* z (* z (sqrt y)))
0.1b	(* z (sqrt y))
1.3b	(* (sqrt y) (* z (* z (sqrt y))))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

19×	`pow1` `add-exp-log` `add-cbrt-cube`
13×	`add-sqr-sqrt`
12×	`associate-l`
10×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`add-cube-cbrt` `*-un-lft-identity`
8×	`associate-r`
7×	`sqrt-prod`
3×	`*-commutative` `add-log-exp`
2×	`unswap-sqr`

Counts

3 → 64

Calls

3 calls:

5.0ms	(* z (* z (sqrt y)))
5.0ms	(* z (sqrt y))
8.0ms	(* (sqrt y) (* z (* z (sqrt y))))

series22.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(* z (* z (sqrt y)))
6.0ms	(* z (sqrt y))
9.0ms	(* (sqrt y) (* z (* z (sqrt y))))

simplify44.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4946	559
1	4946	559

prune83.0ms

Filtered

51 candidates to 73 candidates (-43.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	72	1	73
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	72	5	77

Merged error: 0.0b

Counts

77 → 5

localize9.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (* y (pow z 3/2)) (sqrt z))
3.2b	(* y (pow z 3/2))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 47

Calls

2 calls:

6.0ms	(* (* y (pow z 3/2)) (sqrt z))
5.0ms	(* y (pow z 3/2))

series23.0ms

Counts

2 → 6

Calls

2 calls:

11.0ms	(* (* y (pow z 3/2)) (sqrt z))
12.0ms	(* y (pow z 3/2))

simplify51.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4914	393
1	4914	393

prune61.0ms

Filtered

34 candidates to 53 candidates (-55.9%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	53	0	53
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	53	5	58

Merged error: 0.0b

Counts

58 → 5

regimes323.0ms

Accuracy

0% (0.1b 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	27	7
1	27	7

end0.0ms

sample392.0ms

Algorithm

intervals

Results

198.0ms	8000×	body	80	valid
20.0ms	645×	body	80	invalid

Details

analyze249.0ms

sample16.0ms

simplify3.0ms

prune9.0ms

localize5.0ms

rewrite8.0ms

series22.0ms

simplify39.0ms

prune40.0ms

localize6.0ms

rewrite9.0ms

series20.0ms

simplify52.0ms

prune40.0ms

localize7.0ms

rewrite20.0ms

series22.0ms

simplify44.0ms

prune83.0ms

localize9.0ms

rewrite12.0ms

series23.0ms

simplify51.0ms

prune61.0ms

regimes323.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample392.0ms

Profiling