Details

analyze225.0ms

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
43.7%	56.2%	0.1%	9
54.6%	39%	6.4%	10
58.5%	35.1%	6.4%	11
67.3%	26.3%	6.4%	12
71.7%	18.8%	9.5%	13
74.1%	16.4%	9.5%	14

sample14.0ms

Algorithm

intervals

Results

6.0ms	256×	body	80	valid
0.0ms	10×	body	80	invalid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (7.0ms)

Iter	Nodes	Cost
0	225	7
1	225	7

prune8.0ms

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 → 2

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(- x (* (* y 4.0) z))
0.2b	(* (* y 4.0) 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×	`sub-neg` `flip3--` `diff-log` `associate-l` `*-commutative` `flip--`

Counts

2 → 29

Calls

2 calls:

3.0ms	(- x (* (* y 4.0) z))
5.0ms	(* (* y 4.0) z)

series12.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(- x (* (* y 4.0) z))
4.0ms	(* (* y 4.0) z)

simplify50.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5272	267

prune54.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	33	2	35
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	34	3	37

Merged error: 0b

Counts

37 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* y (* 4.0 z))) (cbrt (* y (* 4.0 z))))
7.7b	(cbrt (* y (* 4.0 z)))
7.7b	(cbrt (* y (* 4.0 z)))
7.7b	(cbrt (* y (* 4.0 z)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 58

Calls

4 calls:

5.0ms	(* (cbrt (* y (* 4.0 z))) (cbrt (* y (* 4.0 z))))
3.0ms	(cbrt (* y (* 4.0 z)))
3.0ms	(cbrt (* y (* 4.0 z)))
3.0ms	(cbrt (* y (* 4.0 z)))

series82.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(* (cbrt (* y (* 4.0 z))) (cbrt (* y (* 4.0 z))))
17.0ms	(cbrt (* y (* 4.0 z)))
17.0ms	(cbrt (* y (* 4.0 z)))
18.0ms	(cbrt (* y (* 4.0 z)))

simplify36.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5101	509

prune147.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	70	3	73

Merged error: 0b

Counts

73 → 3

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (* (* y (* 4.0 (sqrt z))) (sqrt z)))
0.2b	(* (* y (* 4.0 (sqrt z))) (sqrt z))
0.2b	(* y (* 4.0 (sqrt z)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

17×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`associate-r`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`add-log-exp`
4×	`associate-l`
3×	`sqrt-prod`
2×	`*-commutative`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

3 → 53

Calls

3 calls:

3.0ms	(- x (* (* y (* 4.0 (sqrt z))) (sqrt z)))
9.0ms	(* (* y (* 4.0 (sqrt z))) (sqrt z))
5.0ms	(* y (* 4.0 (sqrt z)))

series23.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(- x (* (* y (* 4.0 (sqrt z))) (sqrt z)))
6.0ms	(* (* y (* 4.0 (sqrt z))) (sqrt z))
8.0ms	(* y (* 4.0 (sqrt z)))

simplify30.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	4993	547
1	4993	547

prune80.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	62	0	62
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	62	3	65

Merged error: 0b

Counts

65 → 3

regimes258.0ms

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 (1.0ms)

Iter	Nodes	Cost
0	51	7
1	51	7

end0.0ms

sample339.0ms

Algorithm

intervals

Results

182.0ms	8000×	body	80	valid
6.0ms	281×	body	80	invalid

Details

analyze225.0ms

sample14.0ms

simplify9.0ms

prune8.0ms

localize5.0ms

rewrite8.0ms

series12.0ms

simplify50.0ms

prune54.0ms

localize11.0ms

rewrite17.0ms

series82.0ms

simplify36.0ms

prune147.0ms

localize8.0ms

rewrite18.0ms

series23.0ms

simplify30.0ms

prune80.0ms

regimes258.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample339.0ms

Profiling