Details

sample173.0ms

Algorithm

intervals

Results

76.0ms	64×	body	2560	valid
42.0ms	69×	body	1280	valid
16.0ms	40×	body	640	valid
8.0ms	3×	body	5120	valid
6.0ms	20×	body	320	valid
5.0ms	54×	body	80	valid
1.0ms	6×	body	160	valid

simplify89.0ms

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: 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))

rewrite28.0ms

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	(* (* (+ (* a 2.0) 1.0) b) t)
12.0ms	(* (* (+ (* y 2.0) 1.0) z) 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))

series146.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
42.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
32.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
33.0ms	(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

prune409.0ms

Filtered

74 candidates to 60 candidates (81.1%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	53	21	74
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	54	21	75

Merged error: 42.8b

Counts

75 → 21

localize14.0ms

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))

rewrite26.0ms

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×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
2×	`flip3-+` `flip-+`
1×	`1-exp` `unswap-sqr`

Counts

4 → 74

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

series183.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* (+ (* a 2.0) 1.0) b)
67.0ms	(* (* x 1) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
40.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
37.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

simplify43.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	332	575
1	1299	472
2	5002	465

prune362.0ms

Filtered

86 candidates to 66 candidates (76.7%)

Pruning

36 alts after pruning (36 fresh and 0 done)

	Pruned	Kept	Total
New	65	21	86
Fresh	5	15	20
Picked	1	0	1
Done	0	0	0
Total	71	36	107

Merged error: 41.4b

Counts

107 → 36

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

prune123.0ms

Pruning

36 alts after pruning (35 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	35	35
Picked	1	1
Done	0	0
Total	36	36

Merged error: 41.4b

Counts

36 → 36

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))

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×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`associate-l/` `-commutative`
1×	`flip3-+` `1-exp` `flip-+`

Counts

3 → 52

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))

series139.0ms

Counts

3 → 9

Calls

3 calls:

65.0ms	(* (* x 1) (cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0)))
39.0ms	(* (+ (* a 2.0) 1.0) (* b t))
35.0ms	(cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0))

simplify103.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	289	468
1	1111	383
2	4167	379
3	5001	379

prune144.0ms

Filtered

61 candidates to 45 candidates (73.8%)

Pruning

39 alts after pruning (38 fresh and 1 done)

	Pruned	Kept	Total
New	56	5	61
Fresh	1	33	34
Picked	1	0	1
Done	0	1	1
Total	58	39	97

Merged error: 41.3b

Counts

97 → 39

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

sample4.8s

Algorithm

intervals

Results

2.1s	1816×	body	2560	valid
1.4s	2276×	body	1280	valid
480.0ms	1175×	body	640	valid
175.0ms	1896×	body	80	valid
157.0ms	557×	body	320	valid
112.0ms	43×	body	5120	valid
45.0ms	237×	body	160	valid