Details

sample105.0ms

Algorithm

intervals

Results

22.0ms	58×	body	1280	valid
21.0ms	294×	body	80	nan
11.0ms	189×	body	80	valid
8.0ms	13×	body	2560	valid
6.0ms	25×	body	640	valid
1.0ms	7×	body	320	valid
1.0ms	6×	body	160	valid

simplify16.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	33	10
1	58	10
2	82	10
3	99	10
4	107	10
5	109	10
6	109	10
done	109	10

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 21.5b

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (* z t) 3.0)
0.2b	(/ a (* b 3.0))
0.3b	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
27.9b	(cos (- y (/ (* z t) 3.0)))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

23×	`cos-sum`
22×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
21×	`prod-diff`
19×	`add-exp-log` `add-cbrt-cube`
15×	`times-frac`
9×	`pow1`
5×	`prod-exp` `cbrt-unprod` `div-inv`
4×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `associate-/r` `log1p-expm1-u` `associate-/l` `add-log-exp`
3×	`cos-diff` `associate-r` `pow-prod-down`
2×	`frac-2neg` `clear-num`
1×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-l` `*-commutative`

Counts

4 → 101

Calls

4 calls:

9.0ms	(/ (* z t) 3.0)
7.0ms	(/ a (* b 3.0))
33.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
21.0ms	(cos (- y (/ (* z t) 3.0)))

series193.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(/ (* z t) 3.0)
20.0ms	(/ a (* b 3.0))
101.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
41.0ms	(cos (- y (/ (* z t) 3.0)))

simplify83.0ms

Counts

113 → 113

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	685	1511
1	2361	1261
2	5001	1258
done	5001	1258

prune433.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 15.2b

localize26.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* 2.0 (sqrt x)) (* (cos y) (cos (/ (* z t) 3.0))))
2.3b	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
31.4b	(cos (/ (* z t) 3.0))
31.5b	(sin (/ (* z t) 3.0))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

28×	`pow1` `add-exp-log` `add-cbrt-cube`
16×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `log1p-expm1-u` `add-log-exp`
2×	`associate-r/` `associate-r` `associate-l` `-commutative`
1×	`cos-mult` `sin-mult`

Counts

4 → 68

Calls

4 calls:

35.0ms	(* (* 2.0 (sqrt x)) (* (cos y) (cos (/ (* z t) 3.0))))
40.0ms	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
3.0ms	(cos (/ (* z t) 3.0))
3.0ms	(sin (/ (* z t) 3.0))

series252.0ms

Counts

4 → 12

Calls

4 calls:

119.0ms	(* (* 2.0 (sqrt x)) (* (cos y) (cos (/ (* z t) 3.0))))
103.0ms	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
14.0ms	(cos (/ (* z t) 3.0))
17.0ms	(sin (/ (* z t) 3.0))

simplify51.0ms

Counts

80 → 80

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	362	756
1	1523	597
2	5002	592
done	5002	592

prune404.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 15.2b

localize34.0ms

Local error

Found 4 expressions with local error:

31.4b	(cos (/ (* z t) 3.0))
31.4b	(cos (/ (* z t) 3.0))
31.4b	(cos (/ (* z t) 3.0))
31.5b	(sin (/ (* z t) 3.0))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 36

Calls

4 calls:

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

series51.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(cos (/ (* z t) 3.0))
11.0ms	(cos (/ (* z t) 3.0))
11.0ms	(cos (/ (* z t) 3.0))
17.0ms	(sin (/ (* z t) 3.0))

simplify118.0ms

Counts

48 → 48

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	40	218
1	56	190
2	67	190
3	76	190
4	104	190
5	178	190
6	697	190
7	2269	190
8	5001	190
done	5001	190

prune407.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 15.2b

localize38.0ms

Local error

Found 4 expressions with local error:

30.8b	(cos (* 0.3333333333333333 (* t z)))
31.4b	(cos (/ (* z t) 3.0))
31.4b	(cos (/ (* z t) 3.0))
31.5b	(sin (/ (* z t) 3.0))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 36

Calls

4 calls:

17.0ms	(cos (* 0.3333333333333333 (* t z)))
3.0ms	(cos (/ (* z t) 3.0))
3.0ms	(cos (/ (* z t) 3.0))
6.0ms	(sin (/ (* z t) 3.0))

series52.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(cos (* 0.3333333333333333 (* t z)))
11.0ms	(cos (/ (* z t) 3.0))
11.0ms	(cos (/ (* z t) 3.0))
18.0ms	(sin (/ (* z t) 3.0))

simplify125.0ms

Counts

48 → 48

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	50	218
1	67	190
2	80	190
3	92	190
4	129	190
5	223	190
6	837	190
7	2775	190
8	5001	190
done	5001	190

prune347.0ms

Pruning

23 alts after pruning (22 fresh and 1 done)

Merged error: 15.2b

regimes2.4s

Accuracy

53.4% (1.9b remaining)

Error of 18.3b against oracle of 16.4b and baseline of 20.5b

bsearch2.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	42
1	65	42
2	65	42
done	65	42

end0.0ms

sample3.0s

Algorithm

intervals

Results

593.0ms	9174×	body	80	nan
579.0ms	1542×	body	1280	valid
334.0ms	5686×	body	80	valid
243.0ms	945×	body	640	valid
231.0ms	364×	body	2560	valid
83.0ms	446×	body	320	valid
27.0ms	205×	body	160	valid