Details

sample158.0ms

Algorithm

intervals

Results

74.0ms	68×	body	2560	valid
33.0ms	59×	body	1280	valid
14.0ms	39×	body	640	valid
8.0ms	60×	body	80	valid
4.0ms	16×	body	320	valid
3.0ms	1×	body	5120	valid
2.0ms	13×	body	160	valid

simplify95.0ms

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: 45.9b

Counts

2 → 1

localize28.0ms

Local error

Found 4 expressions with local error:

1.0b	(* (* (+ (* y 2.0) 1.0) z) t)
2.2b	(* (* (+ (* a 2.0) 1.0) b) t)
35.5b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
35.9b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

rewrite25.0ms

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×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`flip3-+` `associate-l` `*-commutative` `flip-+`

Counts

4 → 62

Calls

4 calls:

9.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
9.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
3.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
3.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

series155.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
40.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
38.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
34.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

simplify53.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	387	460
1	1897	378
2	5001	372

prune407.0ms

Filtered

74 candidates to 60 candidates (81.1%)

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	51	23	74
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	52	23	75

Merged error: 41.9b

Counts

75 → 23

localize16.0ms

Local error

Found 3 expressions with local error:

0.1b	(* (* x (cos (/ 0 16.0))) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
2.2b	(* (* (+ (* a 2.0) 1.0) b) t)
35.5b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`associate-*l/`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`associate-l` `*-commutative`
1×	`flip3-+` `flip-+`

Counts

3 → 51

Calls

3 calls:

5.0ms	(* (* x (cos (/ 0 16.0))) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
9.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
3.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

series146.0ms

Counts

3 → 9

Calls

3 calls:

69.0ms	(* (* x (cos (/ 0 16.0))) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
41.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
37.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

simplify41.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	297	524
1	1369	407
2	5002	376

prune289.0ms

Filtered

60 candidates to 46 candidates (76.7%)

Pruning

29 alts after pruning (29 fresh and 0 done)

	Pruned	Kept	Total
New	47	13	60
Fresh	6	16	22
Picked	1	0	1
Done	0	0	0
Total	54	29	83

Merged error: 40.3b

Counts

83 → 29

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

prune104.0ms

Pruning

29 alts after pruning (28 fresh and 1 done)

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

Merged error: 40.3b

Counts

29 → 29

localize16.0ms

Local error

Found 3 expressions with local error:

0.1b	(* (* x (cos (/ 0 16.0))) (cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0)))
2.7b	(* (+ (* a 2.0) 1.0) (* b t))
35.5b	(cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`associate-r` `associate-l`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`associate-l/` `-commutative`
1×	`flip3-+` `flip-+`

Counts

3 → 51

Calls

3 calls:

5.0ms	(* (* x (cos (/ 0 16.0))) (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))

series148.0ms

Counts

3 → 9

Calls

3 calls:

70.0ms	(* (* x (cos (/ 0 16.0))) (cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0)))
41.0ms	(* (+ (* a 2.0) 1.0) (* b t))
38.0ms	(cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0))

simplify111.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	288	526
1	1264	409
2	4866	381
3	5001	381

prune176.0ms

Filtered

60 candidates to 44 candidates (73.3%)

Pruning

30 alts after pruning (29 fresh and 1 done)

	Pruned	Kept	Total
New	52	8	60
Fresh	6	21	27
Picked	1	0	1
Done	0	1	1
Total	59	30	89

Merged error: 40.2b

Counts

89 → 30

regimes1.6s

Accuracy

0% (4.3b remaining)

Error of 44.1b against oracle of 39.8b and baseline of 44.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	0

end0.0ms

sample4.6s

Algorithm

intervals

Results

2.0s	1792×	body	2560	valid
1.3s	2268×	body	1280	valid
452.0ms	1202×	body	640	valid
173.0ms	1928×	body	80	valid
156.0ms	531×	body	320	valid
89.0ms	36×	body	5120	valid
43.0ms	243×	body	160	valid