Details

sample114.0ms

Algorithm

intervals

Results

23.0ms	285×	body	80	nan
18.0ms	44×	body	1280	valid
15.0ms	189×	body	80	valid
9.0ms	13×	body	2560	valid
7.0ms	25×	body	640	valid
3.0ms	14×	body	320	valid
1.0ms	7×	body	160	valid

simplify18.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	32	10
1	55	10
2	76	10
3	89	10
4	92	10
5	92	10

prune6.0ms

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: 17.9b

Counts

2 → 1

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ a (* b 3.0))
0.2b	(/ (* z t) 3.0)
0.2b	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
22.5b	(cos (- y (/ (* z t) 3.0)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-exp-log` `add-cbrt-cube`
9×	`pow1` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`times-frac`
5×	`prod-exp` `cbrt-unprod`
4×	`cbrt-undiv` `div-exp` `associate-/r` `associate-/l` `add-log-exp`
3×	`cos-diff` `associate-r` `pow-prod-down`
2×	`cos-sum` `frac-2neg` `clear-num` `div-inv`
1×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-l` `*-commutative`

Counts

4 → 72

Calls

4 calls:

4.0ms	(/ a (* b 3.0))
4.0ms	(/ (* z t) 3.0)
6.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
6.0ms	(cos (- y (/ (* z t) 3.0)))

series161.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(/ a (* b 3.0))
17.0ms	(/ (* z t) 3.0)
90.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
36.0ms	(cos (- y (/ (* z t) 3.0)))

simplify52.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	404	507
1	1689	429
2	5001	426

prune346.0ms

Filtered

84 candidates to 58 candidates (69.0%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	65	19	84
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	66	19	85

Merged error: 14.9b

Counts

85 → 19

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (sin y) (sin (/ (* z t) 3.0)))
1.8b	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
24.9b	(cos (/ (* z t) 3.0))
25.1b	(sin (/ (* z t) 3.0))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`add-sqr-sqrt`
6×	`add-cube-cbrt` `*-un-lft-identity`
4×	`associate-r` `associate-l` `add-log-exp`
2×	`*-commutative` `sin-mult`
1×	`associate-*r/` `unswap-sqr`

Counts

4 → 56

Calls

4 calls:

9.0ms	(* (sin y) (sin (/ (* z t) 3.0)))
15.0ms	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
4.0ms	(cos (/ (* z t) 3.0))
4.0ms	(sin (/ (* z t) 3.0))

series213.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* (sin y) (sin (/ (* z t) 3.0)))
132.0ms	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
14.0ms	(cos (/ (* z t) 3.0))
23.0ms	(sin (/ (* z t) 3.0))

simplify151.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	224	552
1	948	444
2	4946	442
3	5001	442

prune318.0ms

Filtered

68 candidates to 47 candidates (69.1%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	62	6	68
Fresh	2	16	18
Picked	1	0	1
Done	0	0	0
Total	65	22	87

Merged error: 14.8b

Counts

87 → 22

localize33.0ms

Local error

Found 4 expressions with local error:

24.9b	(cos (/ (* z t) 3.0))
24.9b	(cos (/ (* z t) 3.0))
24.9b	(cos (/ (* z t) 3.0))
25.1b	(sin (/ (* z t) 3.0))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`

Counts

4 → 28

Calls

4 calls:

2.0ms	(cos (/ (* z t) 3.0))
2.0ms	(cos (/ (* z t) 3.0))
2.0ms	(cos (/ (* z t) 3.0))
2.0ms	(sin (/ (* z t) 3.0))

series43.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(cos (/ (* z t) 3.0))
9.0ms	(cos (/ (* z t) 3.0))
9.0ms	(cos (/ (* z t) 3.0))
15.0ms	(sin (/ (* z t) 3.0))

simplify111.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	36	186
1	52	158
2	63	158
3	72	158
4	100	158
5	174	158
6	693	158
7	2258	158
8	5001	158

prune348.0ms

Filtered

40 candidates to 36 candidates (90.0%)

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	37	3	40
Fresh	1	20	21
Picked	1	0	1
Done	0	0	0
Total	39	23	62

Merged error: 14.8b

Counts

62 → 23

localize40.0ms

Local error

Found 4 expressions with local error:

24.8b	(cos (* 0.3333333333333333 (* t z)))
24.9b	(cos (/ (* z t) 3.0))
24.9b	(cos (/ (* z t) 3.0))
25.1b	(sin (/ (* z t) 3.0))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`

Counts

4 → 28

Calls

4 calls:

3.0ms	(cos (* 0.3333333333333333 (* t z)))
2.0ms	(cos (/ (* z t) 3.0))
2.0ms	(cos (/ (* z t) 3.0))
2.0ms	(sin (/ (* z t) 3.0))

series43.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(cos (* 0.3333333333333333 (* t z)))
9.0ms	(cos (/ (* z t) 3.0))
9.0ms	(cos (/ (* z t) 3.0))
15.0ms	(sin (/ (* z t) 3.0))

simplify109.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	44	186
1	61	158
2	74	158
3	86	158
4	123	158
5	217	158
6	831	158
7	2762	158
8	5001	158

prune244.0ms

Filtered

40 candidates to 34 candidates (85.0%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	38	2	40
Fresh	2	20	22
Picked	1	0	1
Done	0	0	0
Total	41	22	63

Merged error: 14.8b

Counts

63 → 22

regimes2.0s

Accuracy

58.2% (1.5b remaining)

Error of 17.8b against oracle of 16.3b and baseline of 19.9b

bsearch2.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	44
1	60	44
2	60	44

end0.0ms

sample2.8s

Algorithm

intervals

Results

630.0ms	1573×	body	1280	valid
536.0ms	8967×	body	80	nan
353.0ms	5563×	body	80	valid
264.0ms	956×	body	640	valid
233.0ms	353×	body	2560	valid
87.0ms	440×	body	320	valid
32.0ms	227×	body	160	valid