Details

sample163.0ms

Algorithm

intervals

Results

68.0ms	57×	body	2560	valid
45.0ms	72×	body	1280	valid
17.0ms	42×	body	640	valid
6.0ms	65×	body	80	valid
5.0ms	15×	body	320	valid
2.0ms	1×	body	5120	valid
1.0ms	4×	body	160	valid

simplify83.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	42	14
1	99	14
2	222	14
3	402	14
4	676	14
5	928	14
6	1116	14
7	1206	14
8	1368	14
9	1380	14
10	1380	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: 45.2b

Counts

2 → 1

localize29.0ms

Local error

Found 4 expressions with local error:

2.2b	(* (* (+ (* a 2.0) 1.0) b) t)
2.4b	(* (* (+ (* y 2.0) 1.0) z) t)
33.0b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
35.7b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

14×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`associate-*l/`
6×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-log-exp`
2×	`flip3-+` `associate-l` `*-commutative` `flip-+`

Counts

4 → 54

Calls

4 calls:

8.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
8.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
3.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
3.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

series149.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
39.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
36.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
33.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

simplify47.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	371	438
1	1835	354
2	5001	354

prune335.0ms

Filtered

66 candidates to 50 candidates (75.8%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	44	22	66
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	45	22	67

Merged error: 40.4b

Counts

67 → 22

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ (* a 2.0) 1.0) b)
0.2b	(* (* x 1) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
2.2b	(* (* (+ (* a 2.0) 1.0) b) t)
35.7b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-exp-log`
16×	`pow1` `add-cbrt-cube`
10×	`add-sqr-sqrt`
9×	`associate-r` `prod-exp`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`pow-prod-down` `cbrt-unprod`
6×	`associate-*l/`
5×	`associate-l`
4×	`add-log-exp`
3×	`*-commutative`
2×	`flip3-+` `flip-+`
1×	`1-exp` `unswap-sqr`

Counts

4 → 66

Calls

4 calls:

7.0ms	(* (+ (* a 2.0) 1.0) b)
5.0ms	(* (* x 1) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
8.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
3.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

series176.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* (+ (* a 2.0) 1.0) b)
63.0ms	(* (* x 1) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
41.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
33.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

simplify40.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	319	551
1	1335	448
2	5001	444

prune328.0ms

Filtered

78 candidates to 54 candidates (69.2%)

Pruning

37 alts after pruning (37 fresh and 0 done)

	Pruned	Kept	Total
New	58	20	78
Fresh	4	17	21
Picked	1	0	1
Done	0	0	0
Total	63	37	100

Merged error: 39.0b

Counts

100 → 37

localize1.0ms

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

prune138.0ms

Pruning

37 alts after pruning (36 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	36	36
Picked	1	1
Done	0	0
Total	37	37

Merged error: 39.0b

Counts

37 → 37

localize18.0ms

Local error

Found 4 expressions with local error:

7.6b	(cbrt (* (+ (* a 2.0) 1.0) b))
7.6b	(cbrt (* (+ (* a 2.0) 1.0) b))
7.6b	(cbrt (* (+ (* a 2.0) 1.0) b))
35.4b	(cos (/ (* (* (* (cbrt (* (+ (* a 2.0) 1.0) b)) (cbrt (* (+ (* a 2.0) 1.0) b))) (cbrt (* (+ (* a 2.0) 1.0) b))) t) 16.0))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

6×	`cbrt-div` `associate-*l/`
4×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
3×	`cbrt-prod` `flip3-+` `pow1/3` `flip-+`

Counts

4 → 40

Calls

4 calls:

5.0ms	(cbrt (* (+ (* a 2.0) 1.0) b))
5.0ms	(cbrt (* (+ (* a 2.0) 1.0) b))
5.0ms	(cbrt (* (+ (* a 2.0) 1.0) b))
2.0ms	(cos (/ (* (* (* (cbrt (* (+ (* a 2.0) 1.0) b)) (cbrt (* (+ (* a 2.0) 1.0) b))) (cbrt (* (+ (* a 2.0) 1.0) b))) t) 16.0))

series431.0ms

Counts

4 → 12

Calls

4 calls:

127.0ms	(cbrt (* (+ (* a 2.0) 1.0) b))
125.0ms	(cbrt (* (+ (* a 2.0) 1.0) b))
123.0ms	(cbrt (* (+ (* a 2.0) 1.0) b))
56.0ms	(cos (/ (* (* (* (cbrt (* (+ (* a 2.0) 1.0) b)) (cbrt (* (+ (* a 2.0) 1.0) b))) (cbrt (* (+ (* a 2.0) 1.0) b))) t) 16.0))

simplify58.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 3 (50.0ms)

Iter	Nodes	Cost
0	238	717
1	644	643
2	2171	610
3	5001	604

prune245.0ms

Filtered

52 candidates to 51 candidates (98.1%)

Pruning

44 alts after pruning (43 fresh and 1 done)

	Pruned	Kept	Total
New	41	11	52
Fresh	3	32	35
Picked	1	0	1
Done	0	1	1
Total	45	44	89

Merged error: 38.8b

Counts

89 → 44

regimes2.4s

Accuracy

0% (4.4b remaining)

Error of 44.3b against oracle of 39.9b and baseline of 44.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	0

end0.0ms

sample5.0s

Algorithm

intervals

Results

2.2s	1851×	body	2560	valid
1.5s	2246×	body	1280	valid
532.0ms	1215×	body	640	valid
195.0ms	1897×	body	80	valid
160.0ms	513×	body	320	valid
122.0ms	44×	body	5120	valid
49.0ms	234×	body	160	valid