Details

sample168.0ms

Algorithm

intervals

Results

58.0ms	51×	body	2560	valid
52.0ms	74×	body	1280	valid
19.0ms	46×	body	640	valid
5.0ms	58×	body	80	valid
5.0ms	17×	body	320	valid
3.0ms	1×	body	5120	valid
2.0ms	9×	body	160	valid

simplify82.0ms

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

prune6.0ms

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: 46.3b

Counts

2 → 1

localize22.0ms

Local error

Found 4 expressions with local error:

3.4b	(* (* (+ (* y 2.0) 1.0) z) t)
4.3b	(* (* (+ (* a 2.0) 1.0) b) t)
33.8b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
35.3b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

rewrite21.0ms

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)
7.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
2.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
3.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

series45.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
9.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
12.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
15.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

simplify48.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 1 (10.0ms)

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

prune248.0ms

Filtered

50 candidates to 66 candidates (-32.0%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	48	18	66
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	49	18	67

Merged error: 41.8b

Counts

67 → 18

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ (* a 2.0) 1.0) b)
0.1b	(* (* x 1) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
4.3b	(* (* (+ (* a 2.0) 1.0) b) t)
33.8b	(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:

6.0ms	(* (+ (* 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)
4.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

series50.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(* (+ (* a 2.0) 1.0) b)
23.0ms	(* (* x 1) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
9.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
12.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

simplify41.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 2 (34.0ms)

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

prune319.0ms

Filtered

54 candidates to 78 candidates (-44.4%)

Pruning

35 alts after pruning (35 fresh and 0 done)

	Pruned	Kept	Total
New	57	21	78
Fresh	3	14	17
Picked	1	0	1
Done	0	0	0
Total	61	35	96

Merged error: 40.1b

Counts

96 → 35

localize1.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify2.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune194.0ms

Pruning

35 alts after pruning (34 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	34	34
Picked	1	1
Done	0	0
Total	35	35

Merged error: 40.1b

Counts

35 → 35

localize14.0ms

Local error

Found 3 expressions with local error:

0.1b	(* (* x 1) (cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0)))
3.6b	(* (+ (* a 2.0) 1.0) (* b t))
33.9b	(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×	`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)))
8.0ms	(* (+ (* a 2.0) 1.0) (* b t))
3.0ms	(cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0))

series47.0ms

Counts

3 → 9

Calls

3 calls:

24.0ms	(* (* x 1) (cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0)))
10.0ms	(* (+ (* a 2.0) 1.0) (* b t))
13.0ms	(cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0))

simplify107.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 2 (32.0ms)

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

prune83.0ms

Filtered

39 candidates to 55 candidates (-41.0%)

Pruning

38 alts after pruning (37 fresh and 1 done)

	Pruned	Kept	Total
New	47	8	55
Fresh	4	29	33
Picked	1	0	1
Done	0	1	1
Total	52	38	90

Merged error: 39.9b

Counts

90 → 38

regimes3.5s

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

sample5.1s

Algorithm

intervals

Results

2.1s	1795×	body	2560	valid
1.5s	2315×	body	1280	valid
484.0ms	1140×	body	640	valid
184.0ms	1903×	body	80	valid
175.0ms	554×	body	320	valid
111.0ms	44×	body	5120	valid
53.0ms	249×	body	160	valid

Details

sample168.0ms

simplify82.0ms

prune6.0ms

localize22.0ms

rewrite21.0ms

series45.0ms

simplify48.0ms

prune248.0ms

localize13.0ms

rewrite24.0ms

series50.0ms

simplify41.0ms

prune319.0ms

localize1.0ms

rewrite0.0ms

series0.0ms

simplify2.0ms

prune194.0ms

localize14.0ms

rewrite17.0ms

series47.0ms

simplify107.0ms

prune83.0ms

regimes3.5s

bsearch0.0ms

simplify1.0ms

end0.0ms

sample5.1s

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