Details

analyze9.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	25%	25%	4
62.5%	12.5%	25%	5
68.7%	6.2%	25%	6
71.8%	3.1%	25%	7
73.4%	1.6%	25%	8
74.2%	0.8%	25%	9
74.6%	0.4%	25%	10
74.8%	0.2%	25%	11
74.9%	0.1%	25%	12
74.9%	0%	25.1%	13
74.9%	0%	25.1%	14

sample14.0ms

Algorithm

intervals

Results

9.0ms

256×

body

valid

simplify28.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	739	11
1	739	11

prune7.0ms

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: 0.2b

Counts

2 → 2

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* (* x 3.0) x) (* x 4.0))
0.1b	(* 3.0 (+ (- (* (* x 3.0) x) (* x 4.0)) 1.0))
0.2b	(* (* x 3.0) x)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

10×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`add-sqr-sqrt` `*-un-lft-identity`
7×	`associate-r`
6×	`add-cube-cbrt`
5×	`add-log-exp`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`associate-r/` `-commutative`
1×	`distribute-rgt-in` `sub-neg` `flip3--` `distribute-lft-in` `flip3-+` `diff-log` `flip--` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

3 → 52

Calls

3 calls:

5.0ms	(- (* (* x 3.0) x) (* x 4.0))
9.0ms	(* 3.0 (+ (- (* (* x 3.0) x) (* x 4.0)) 1.0))
5.0ms	(* (* x 3.0) x)

series13.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(- (* (* x 3.0) x) (* x 4.0))
3.0ms	(* 3.0 (+ (- (* (* x 3.0) x) (* x 4.0)) 1.0))
3.0ms	(* (* x 3.0) x)

simplify29.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5342	593

prune89.0ms

Filtered

41 candidates to 61 candidates (-48.8%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	56	5	61
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	58	5	63

Merged error: 0.0b

Counts

63 → 5

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* x 9.0) 12.0)
0.1b	(* x (- (* x 9.0) 12.0))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
3×	`sub-neg` `associate-r` `associate-l`
2×	`flip3--` `associate-*r/` `flip--`
1×	`distribute-rgt-in` `distribute-lft-in` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 33

Calls

2 calls:

4.0ms	(- (* x 9.0) 12.0)
6.0ms	(* x (- (* x 9.0) 12.0))

series11.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(- (* x 9.0) 12.0)
8.0ms	(* x (- (* x 9.0) 12.0))

simplify41.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4943	329
1	4943	329

prune53.0ms

Filtered

26 candidates to 39 candidates (-50.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	37	2	39
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	38	6	44

Merged error: 0b

Counts

44 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x 3.0) 4.0)
0.1b	(* x (- (* x 3.0) 4.0))
0.1b	(* 3.0 (* x (- (* x 3.0) 4.0)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

10×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`add-sqr-sqrt`
7×	`sub-neg`
6×	`add-cube-cbrt` `-un-lft-identity` `associate-r/` `associate-l`
5×	`distribute-rgt-in` `distribute-lft-in` `add-log-exp`
4×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`flip3--` `flip--`
2×	`*-commutative`
1×	`diff-log` `unswap-sqr`

Counts

3 → 57

Calls

3 calls:

4.0ms	(- (* x 3.0) 4.0)
6.0ms	(* x (- (* x 3.0) 4.0))
8.0ms	(* 3.0 (* x (- (* x 3.0) 4.0)))

series15.0ms

Counts

3 → 9

Calls

3 calls:

3.0ms	(- (* x 3.0) 4.0)
5.0ms	(* x (- (* x 3.0) 4.0))
7.0ms	(* 3.0 (* x (- (* x 3.0) 4.0)))

simplify48.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5075	590

prune83.0ms

Filtered

46 candidates to 66 candidates (-43.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	65	1	66
Fresh	1	3	4
Picked	1	0	1
Done	0	1	1
Total	67	5	72

Merged error: 0b

Counts

72 → 5

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* x 3.0) 4.0)
0.2b	(* (* 3.0 x) (- (* x 3.0) 4.0))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 33

Calls

2 calls:

4.0ms	(- (* x 3.0) 4.0)
8.0ms	(* (* 3.0 x) (- (* x 3.0) 4.0))

series11.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(- (* x 3.0) 4.0)
7.0ms	(* (* 3.0 x) (- (* x 3.0) 4.0))

simplify44.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4917	357
1	4917	357

prune42.0ms

Filtered

27 candidates to 39 candidates (-44.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	39	0	39
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	39	5	44

Merged error: 0b

Counts

44 → 5

regimes33.0ms

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	21	9
1	21	9

end0.0ms

sample341.0ms

Algorithm

intervals

Results

248.0ms	8000×	body	80	valid
0.0ms	1×	body	80	invalid

Details

analyze9.0ms

sample14.0ms

simplify28.0ms

prune7.0ms

localize8.0ms

rewrite20.0ms

series13.0ms

simplify29.0ms

prune89.0ms

localize5.0ms

rewrite11.0ms

series11.0ms

simplify41.0ms

prune53.0ms

localize8.0ms

rewrite19.0ms

series15.0ms

simplify48.0ms

prune83.0ms

localize7.0ms

rewrite12.0ms

series11.0ms

simplify44.0ms

prune42.0ms

regimes33.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample341.0ms

Profiling