Details

analyze3.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
75%	25%	0%	4
75%	12.5%	12.5%	5
75%	6.2%	18.8%	6
75%	3.1%	21.9%	7
75%	1.6%	23.5%	8
75%	0.8%	24.3%	9
75%	0.4%	24.6%	10
75%	0.2%	24.8%	11
75%	0.1%	24.9%	12
75%	0%	24.9%	13
75%	0%	25%	14

sample11.0ms

Algorithm

intervals

Results

6.0ms

256×

body

valid

simplify12.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (11.0ms)

Iter	Nodes	Cost
0	341	9
1	341	9

prune2.0ms

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: 0.1b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ 0.253 (* x 0.12))
0.1b	(* x (+ 0.253 (* x 0.12)))

rewrite8.0ms

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×	`associate-r` `associate-l`
2×	`flip3-+` `associate-*r/` `flip-+`
1×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 33

Calls

2 calls:

3.0ms	(+ 0.253 (* x 0.12))
5.0ms	(* x (+ 0.253 (* x 0.12)))

series13.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(+ 0.253 (* x 0.12))
6.0ms	(* x (+ 0.253 (* x 0.12)))

simplify47.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5079	325

prune66.0ms

Filtered

26 candidates to 39 candidates (-50.0%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	31	8	39
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	32	8	40

Merged error: 0.0b

Counts

40 → 8

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x 0.253) (* x (* x 0.12)))
0.2b	(* x (* x 0.12))

rewrite9.0ms

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-l*` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`+-commutative` `flip3-+` `associate-r` `sum-log` `*-commutative` `flip-+` `distribute-lft-out`

Counts

2 → 30

Calls

2 calls:

4.0ms	(+ (* x 0.253) (* x (* x 0.12)))
5.0ms	(* x (* x 0.12))

series9.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(+ (* x 0.253) (* x (* x 0.12)))
3.0ms	(* x (* x 0.12))

simplify47.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4942	272
1	4942	272

prune46.0ms

Filtered

22 candidates to 36 candidates (-63.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	35	1	36
Fresh	3	4	7
Picked	0	1	1
Done	0	0	0
Total	38	6	44

Merged error: 0b

Counts

44 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x 0.253) (* (* x x) 0.12))
0.2b	(* (* x x) 0.12)

rewrite10.0ms

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-r*` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`+-commutative` `flip3-+` `associate-l` `sum-log` `*-commutative` `flip-+` `unswap-sqr`

Counts

2 → 30

Calls

2 calls:

4.0ms	(+ (* x 0.253) (* (* x x) 0.12))
5.0ms	(* (* x x) 0.12)

series9.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(+ (* x 0.253) (* (* x x) 0.12))
3.0ms	(* (* x x) 0.12)

simplify45.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5035	277

prune41.0ms

Filtered

23 candidates to 36 candidates (-56.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	34	2	36
Fresh	4	0	4
Picked	0	1	1
Done	0	1	1
Total	38	4	42

Merged error: 0b

Counts

42 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x 0.253) (* (* x (* x (sqrt 0.12))) (sqrt 0.12)))
0.2b	(* (* x (* x (sqrt 0.12))) (sqrt 0.12))
0.2b	(* x (sqrt 0.12))
0.2b	(* x (* x (sqrt 0.12)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 75

Calls

4 calls:

4.0ms	(+ (* x 0.253) (* (* x (* x (sqrt 0.12))) (sqrt 0.12)))
9.0ms	(* (* x (* x (sqrt 0.12))) (sqrt 0.12))
7.0ms	(* x (sqrt 0.12))
5.0ms	(* x (* x (sqrt 0.12)))

series25.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(+ (* x 0.253) (* (* x (* x (sqrt 0.12))) (sqrt 0.12)))
7.0ms	(* (* x (* x (sqrt 0.12))) (sqrt 0.12))
4.0ms	(* x (sqrt 0.12))
4.0ms	(* x (* x (sqrt 0.12)))

simplify41.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4976	581
1	4976	581

prune88.0ms

Filtered

48 candidates to 87 candidates (-81.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	87	0	87
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	87	4	91

Merged error: 0b

Counts

91 → 4

regimes28.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	72	11
1	72	11

end0.0ms

sample284.0ms

Algorithm

intervals

Results

193.0ms	8000×	body	80	valid
0.0ms	3×	body	80	invalid

Details

analyze3.0ms

sample11.0ms

simplify12.0ms

prune2.0ms

localize5.0ms

rewrite8.0ms

series13.0ms

simplify47.0ms

prune66.0ms

localize6.0ms

rewrite9.0ms

series9.0ms

simplify47.0ms

prune46.0ms

localize7.0ms

rewrite10.0ms

series9.0ms

simplify45.0ms

prune41.0ms

localize9.0ms

rewrite27.0ms

series25.0ms

simplify41.0ms

prune88.0ms

regimes28.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample284.0ms

Profiling