Details

sample21.0ms

Algorithm

intervals

Results

7.0ms	188×	body	160	valid
4.0ms	68×	body	320	valid
2.0ms	256×	pre	80	true

simplify126.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	9
1	85	9
2	251	9
3	663	9
4	1805	9
5	3909	9
6	5001	9

prune2.0ms

Filtered

1 candidates to 0 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: 61.8b

Counts

2 → 1

localize7.0ms

Local error

Found 1 expressions with local error:

61.8b

(+ (* (+ 1.0 (* t 2e-16)) (+ 1.0 (* t 2e-16))) (- -1.0 (* 2.0 (* t 2e-16))))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

16×	`frac-add`
13×	`flip3-+` `flip-+`
8×	`frac-times` `flip3--` `flip--`
4×	`associate-+l+` `associate-r/` `associate-l/`
3×	`+-commutative`
2×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in`
1×	`associate-+r-` `sub-neg`

Counts

1 → 26

Calls

1 calls:

9.0ms

(+ (* (+ 1.0 (* t 2e-16)) (+ 1.0 (* t 2e-16))) (- -1.0 (* 2.0 (* t 2e-16))))

series31.0ms

Counts

1 → 3

Calls

1 calls:

31.0ms

(+ (* (+ 1.0 (* t 2e-16)) (+ 1.0 (* t 2e-16))) (- -1.0 (* 2.0 (* t 2e-16))))

simplify73.0ms

Algorithm

egg-herbie

Counts

29 → 29

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	545	866
1	2618	846
2	5002	846

prune75.0ms

Filtered

29 candidates to 20 candidates (69.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	28	1	29
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	29	1	30

Merged error: 0.3b

Counts

30 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

0.3b	(* 3.9999999999999997e-32 (pow t 2))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

2×	`associate-r`
1×	`*-commutative` `unpow2` `sqr-pow`

Counts

1 → 3

Calls

1 calls:

3.0ms

(* 3.9999999999999997e-32 (pow t 2))

series24.0ms

Counts

1 → 3

Calls

1 calls:

24.0ms

(* 3.9999999999999997e-32 (pow t 2))

simplify116.0ms

Algorithm

egg-herbie

Counts

6 → 6

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	8
1	46	8
2	144	8
3	513	8
4	2434	8
5	5001	8

prune10.0ms

Filtered

6 candidates to 3 candidates (50.0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	5	1	6
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	5	2	7

Merged error: 0.1b

Counts

7 → 2

localize5.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (* t 3.9999999999999997e-32) (pow t (/ 2 2)))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

2×	`associate-l` `*-commutative`
1×	`associate-r` `sqr-pow`

Counts

1 → 4

Calls

1 calls:

4.0ms

(* (* t 3.9999999999999997e-32) (pow t (/ 2 2)))

series25.0ms

Counts

1 → 3

Calls

1 calls:

25.0ms

(* (* t 3.9999999999999997e-32) (pow t (/ 2 2)))

simplify72.0ms

Algorithm

egg-herbie

Counts

7 → 7

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	32	11
1	82	11
2	269	10
3	1157	10
4	5001	10

prune8.0ms

Filtered

7 candidates to 3 candidates (42.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	6	1	7
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	6	3	9

Merged error: 0.1b

Counts

9 → 3

localize14.0ms

Local error

Found 2 expressions with local error:

0.2b	(* 3.9999999999999997e-32 (pow t 3/2))
0.3b	(* (* 3.9999999999999997e-32 (pow t 3/2)) (pow t (/ (/ 2 2) 2)))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

3×	`associate-r` `associate-l` `*-commutative` `sqr-pow`

Counts

2 → 7

Calls

2 calls:

3.0ms	(* 3.9999999999999997e-32 (pow t 3/2))
5.0ms	(* (* 3.9999999999999997e-32 (pow t 3/2)) (pow t (/ (/ 2 2) 2)))

series123.0ms

Counts

2 → 6

Calls

2 calls:

55.0ms	(* 3.9999999999999997e-32 (pow t 3/2))
68.0ms	(* (* 3.9999999999999997e-32 (pow t 3/2)) (pow t (/ (/ 2 2) 2)))

simplify68.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 3 (66.0ms)

Iter	Nodes	Cost
0	105	53
1	358	44
2	1575	37
3	5002	35

prune20.0ms

Filtered

13 candidates to 9 candidates (69.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	9	4	13
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	10	6	16

Merged error: 0.0b

Counts

16 → 6

regimes22.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	2
1	14	2
2	14	2

end0.0ms

sample530.0ms

Algorithm

intervals

Results

242.0ms	5959×	body	160	valid
127.0ms	2041×	body	320	valid
71.0ms	8000×	pre	80	true