Details

sample164.0ms

Algorithm

intervals

Results

68.0ms	62×	body	2560	valid
39.0ms	70×	body	1280	valid
16.0ms	35×	body	640	valid
6.0ms	23×	body	320	valid
5.0ms	2×	body	5120	valid
4.0ms	56×	body	80	valid
1.0ms	8×	body	160	valid

simplify82.0ms

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
done	1380	14

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 47.7b

localize23.0ms

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)
34.6b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
38.0b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

rewrite99.0ms

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:

42.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
42.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
4.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
8.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

series174.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
43.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
43.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
41.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

simplify49.0ms

Counts

66 → 66

Iterations

Useful iterations: 1 (12.0ms)

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

prune353.0ms

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 43.5b

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x (cos (/ 0 16.0))) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
0.2b	(/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)
2.2b	(* (* (+ (* a 2.0) 1.0) b) t)
34.6b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-exp-log` `add-cbrt-cube`
14×	`pow1`
9×	`prod-exp` `cbrt-unprod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-l/`
6×	`associate-r` `pow-prod-down`
4×	`add-log-exp`
3×	`cbrt-undiv` `times-frac` `div-exp` `associate-/r*`
2×	`flip3-+` `associate-l` `*-commutative` `flip-+` `associate-/l/`
1×	`frac-2neg` `clear-num` `div-inv` `associate-/l*`

Counts

4 → 70

Calls

4 calls:

22.0ms	(* (* x (cos (/ 0 16.0))) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
45.0ms	(/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)
42.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
5.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

series213.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(* (* x (cos (/ 0 16.0))) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
53.0ms	(/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)
43.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
40.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

simplify67.0ms

Counts

82 → 82

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	413	694
1	2124	532
2	5003	508
done	5003	508

prune396.0ms

Pruning

34 alts after pruning (34 fresh and 0 done)

Merged error: 41.4b

localize5.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify2.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune122.0ms

Pruning

34 alts after pruning (33 fresh and 1 done)

Merged error: 41.4b

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x (cos (/ 0 16.0))) (cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0)))
0.2b	(/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0)
2.7b	(* (+ (* a 2.0) 1.0) (* b t))
34.6b	(cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-exp-log` `add-cbrt-cube`
14×	`pow1`
9×	`prod-exp` `cbrt-unprod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`pow-prod-down`
4×	`associate-r` `associate-l` `associate-*l/` `add-log-exp`
3×	`cbrt-undiv` `times-frac` `div-exp` `associate-/r*`
2×	`flip3-+` `*-commutative` `flip-+` `associate-/l/`
1×	`frac-2neg` `clear-num` `div-inv` `associate-/l*`

Counts

4 → 70

Calls

4 calls:

21.0ms	(* (* x (cos (/ 0 16.0))) (cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0)))
28.0ms	(/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0)
39.0ms	(* (+ (* a 2.0) 1.0) (* b t))
5.0ms	(cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0))

series212.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(* (* x (cos (/ 0 16.0))) (cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0)))
50.0ms	(/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0)
43.0ms	(* (+ (* a 2.0) 1.0) (* b t))
39.0ms	(cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0))

simplify52.0ms

Counts

82 → 82

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	405	696
1	1951	534
2	5002	510
done	5002	510

prune245.0ms

Pruning

35 alts after pruning (34 fresh and 1 done)

Merged error: 41.2b

regimes2.1s

Accuracy

0% (4.4b remaining)

Error of 44.2b against oracle of 39.9b and baseline of 44.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	3
1	13	3
2	13	3
done	13	3

end0.0ms

sample4.7s

Algorithm

intervals

Results

2.0s	1868×	body	2560	valid
1.3s	2254×	body	1280	valid
448.0ms	1169×	body	640	valid
166.0ms	1901×	body	80	valid
139.0ms	540×	body	320	valid
122.0ms	48×	body	5120	valid
39.0ms	220×	body	160	valid