Details

sample180.0ms

Algorithm

intervals

Results

74.0ms	64×	body	2560	valid
49.0ms	69×	body	1280	valid
15.0ms	36×	body	640	valid
7.0ms	23×	body	320	valid
5.0ms	58×	body	80	valid
5.0ms	2×	body	5120	valid
1.0ms	4×	body	160	valid

simplify84.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	44	14
1	103	14
2	234	14
3	450	14
4	800	14
5	1136	14
6	1376	14
7	1482	14
8	1676	14
9	1712	14
10	1712	14

prune4.0ms

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: 46.9b

Counts

2 → 1

localize23.0ms

Local error

Found 4 expressions with local error:

2.7b	(* (* (+ (* y 2.0) 1.0) z) t)
3.8b	(* (* (+ (* a 2.0) 1.0) b) t)
34.3b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
35.3b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

8×	`associate-*l/`
4×	`associate-l` `*-commutative`
2×	`flip3-+` `flip-+`

Counts

4 → 10

Calls

4 calls:

6.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
9.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
8.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
8.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

series147.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
42.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
32.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
33.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

simplify109.0ms

Algorithm

egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 2 (13.0ms)

Iter	Nodes	Cost
0	158	74
1	474	70
2	1375	66
3	3706	66
4	5001	66

prune137.0ms

Filtered

22 candidates to 18 candidates (81.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	14	8	22
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	15	8	23

Merged error: 42.8b

Counts

23 → 8

localize36.0ms

Local error

Found 4 expressions with local error:

2.7b	(* (* (+ (* y 2.0) 1.0) z) t)
3.3b	(* (+ (* a 2.0) 1.0) (* b t))
34.3b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
35.3b	(cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

6×	`associate-*l/`
4×	`*-commutative`
2×	`flip3-+` `associate-r` `associate-l` `flip-+`

Counts

4 → 10

Calls

4 calls:

6.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
5.0ms	(* (+ (* a 2.0) 1.0) (* b t))
8.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
7.0ms	(cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0))

series153.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
39.0ms	(* (+ (* a 2.0) 1.0) (* b t))
37.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
34.0ms	(cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0))

simplify102.0ms

Algorithm

egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 2 (14.0ms)

Iter	Nodes	Cost
0	158	75
1	476	71
2	1369	67
3	3744	67
4	5001	67

prune103.0ms

Filtered

22 candidates to 16 candidates (72.7%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	18	4	22
Fresh	3	4	7
Picked	1	0	1
Done	0	0	0
Total	22	8	30

Merged error: 42.7b

Counts

30 → 8

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0)
0.1b	(* (* x 1) (cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0)))
3.3b	(* (+ (* a 2.0) 1.0) (* b t))
35.3b	(cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

6×	`*-commutative`
4×	`associate-r` `associate-l/` `associate-/l`
2×	`flip3-+` `associate-l` `flip-+` `associate-/l/`
1×	`frac-2neg` `clear-num` `div-inv`

Counts

4 → 17

Calls

4 calls:

7.0ms	(/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0)
8.0ms	(* (* x 1) (cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0)))
5.0ms	(* (+ (* a 2.0) 1.0) (* b t))
7.0ms	(cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0))

series186.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0)
64.0ms	(* (* x 1) (cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0)))
44.0ms	(* (+ (* a 2.0) 1.0) (* b t))
33.0ms	(cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0))

simplify90.0ms

Algorithm

egg-herbie

Counts

29 → 29

Iterations

Useful iterations: 4 (87.0ms)

Iter	Nodes	Cost
0	154	104
1	477	102
2	1398	98
3	3488	96
4	5001	95

prune117.0ms

Filtered

29 candidates to 25 candidates (86.2%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	23	6	29
Fresh	2	5	7
Picked	0	1	1
Done	0	0	0
Total	25	12	37

Merged error: 41.5b

Counts

37 → 12

localize4.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify3.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune0.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	10	10
Picked	1	1
Done	1	1
Total	12	12

Merged error: 41.5b

Counts

12 → 12

regimes646.0ms

Accuracy

0% (3.2b remaining)

Error of 44.5b against oracle of 41.2b and baseline of 44.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	0
1	9	0

end0.0ms

sample4.6s

Algorithm

intervals

Results

2.0s	1889×	body	2560	valid
1.3s	2258×	body	1280	valid
430.0ms	1145×	body	640	valid
163.0ms	571×	body	320	valid
163.0ms	1846×	body	80	valid
95.0ms	39×	body	5120	valid
45.0ms	252×	body	160	valid