Details

sample166.0ms

Algorithm

intervals

Results

69.0ms	64×	body	2560	valid
40.0ms	69×	body	1280	valid
18.0ms	40×	body	640	valid
8.0ms	3×	body	5120	valid
5.0ms	20×	body	320	valid
5.0ms	54×	body	80	valid
1.0ms	6×	body	160	valid

simplify79.0ms

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: 48.1b

Counts

2 → 1

localize24.0ms

Local error

Found 4 expressions with local error:

2.2b	(* (* (+ (* a 2.0) 1.0) b) t)
3.6b	(* (* (+ (* y 2.0) 1.0) z) t)
33.0b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
38.8b	(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×	`add-log-exp`
2×	`flip3-+` `associate-l` `*-commutative` `flip-+`

Counts

4 → 54

Calls

4 calls:

11.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
8.0ms	(* (* (+ (* y 2.0) 1.0) z) 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))

series151.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
44.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
34.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
34.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

simplify50.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 1 (11.0ms)

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

prune346.0ms

Filtered

66 candidates to 50 candidates (75.8%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	47	19	66
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	48	19	67

Merged error: 43.1b

Counts

67 → 19

localize15.0ms

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)))
2.2b	(* (* (+ (* a 2.0) 1.0) b) t)
33.0b	(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)
3.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

series192.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* (+ (* a 2.0) 1.0) b)
72.0ms	(* (* x 1) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
41.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
41.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

simplify50.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 2 (41.0ms)

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

prune397.0ms

Filtered

78 candidates to 54 candidates (69.2%)

Pruning

34 alts after pruning (34 fresh and 0 done)

	Pruned	Kept	Total
New	58	20	78
Fresh	4	14	18
Picked	1	0	1
Done	0	0	0
Total	63	34	97

Merged error: 41.7b

Counts

97 → 34

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

prune113.0ms

Pruning

34 alts after pruning (33 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	33	33
Picked	1	1
Done	0	0
Total	34	34

Merged error: 41.7b

Counts

34 → 34

localize14.0ms

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))
33.0b	(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))
2.0ms	(cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0))

series204.0ms

Counts

3 → 9

Calls

3 calls:

100.0ms	(* (* x 1) (cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0)))
67.0ms	(* (+ (* a 2.0) 1.0) (* b t))
37.0ms	(cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0))

simplify100.0ms

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

prune125.0ms

Filtered

55 candidates to 39 candidates (70.9%)

Pruning

37 alts after pruning (36 fresh and 1 done)

	Pruned	Kept	Total
New	49	6	55
Fresh	2	30	32
Picked	1	0	1
Done	0	1	1
Total	52	37	89

Merged error: 41.5b

Counts

89 → 37

regimes2.1s

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

sample4.7s

Algorithm

intervals

Results

2.0s	1816×	body	2560	valid
1.4s	2276×	body	1280	valid
460.0ms	1175×	body	640	valid
168.0ms	1896×	body	80	valid
161.0ms	557×	body	320	valid
111.0ms	43×	body	5120	valid
45.0ms	237×	body	160	valid