Details

sample159.0ms

Algorithm

intervals

Results

73.0ms	68×	body	2560	valid
35.0ms	59×	body	1280	valid
15.0ms	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

simplify88.0ms

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: 45.9b

Counts

2 → 1

localize32.0ms

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))

rewrite24.0ms

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	(* (* (+ (* y 2.0) 1.0) z) t)
8.0ms	(* (* (+ (* 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))

series152.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* (* (+ (* 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))
35.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

simplify51.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 1 (11.0ms)

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

prune339.0ms

Filtered

66 candidates to 50 candidates (75.8%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	45	21	66
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	46	21	67

Merged error: 42.0b

Counts

67 → 21

localize13.0ms

Local error

Found 3 expressions with local error:

0.1b	(* (* x 1) (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))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 46

Calls

3 calls:

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))

series138.0ms

Counts

3 → 9

Calls

3 calls:

63.0ms	(* (* x 1) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
42.0ms	(* (* (+ (* 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

55 → 55

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	288	437
1	1182	351
2	5002	347

prune234.0ms

Filtered

55 candidates to 39 candidates (70.9%)

Pruning

29 alts after pruning (29 fresh and 0 done)

	Pruned	Kept	Total
New	41	14	55
Fresh	5	15	20
Picked	1	0	1
Done	0	0	0
Total	47	29	76

Merged error: 40.4b

Counts

76 → 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 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune98.0ms

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: 40.4b

Counts

29 → 29

localize13.0ms

Local error

Found 3 expressions with local error:

0.1b	(* (* x 1) (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))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 46

Calls

3 calls:

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

series143.0ms

Counts

3 → 9

Calls

3 calls:

67.0ms	(* (* x 1) (cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0)))
42.0ms	(* (+ (* a 2.0) 1.0) (* b t))
33.0ms	(cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0))

simplify99.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	279	438
1	1080	352
2	4023	348
3	5001	348

prune133.0ms

Filtered

55 candidates to 38 candidates (69.1%)

Pruning

29 alts after pruning (28 fresh and 1 done)

	Pruned	Kept	Total
New	47	8	55
Fresh	7	20	27
Picked	1	0	1
Done	0	1	1
Total	55	29	84

Merged error: 40.3b

Counts

84 → 29

regimes1.6s

Accuracy

0% (4.2b 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
1.4s	2268×	body	1280	valid
481.0ms	1202×	body	640	valid
170.0ms	1928×	body	80	valid
147.0ms	531×	body	320	valid
90.0ms	36×	body	5120	valid
46.0ms	243×	body	160	valid