Details

sample310.0ms

Algorithm

intervals

Results

144.0ms	62×	body	2560	valid
78.0ms	77×	body	1280	valid
22.0ms	30×	body	640	valid
12.0ms	25×	body	320	valid
9.0ms	57×	body	80	valid
4.0ms	1×	body	5120	valid
1.0ms	4×	body	160	valid

simplify3.0s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	27
1	42	27
2	98	27
3	223	27
4	460	27
5	798	27
6	1063	27
7	1248	27
8	1338	27
9	1494	27
10	1506	27
done	1506	27

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 46.9b

localize53.0ms

Local error

Found 4 expressions with local error:

2.4b	(* (* (+ (* y 2.0) 1.0) z) t)
3.2b	(* (* (+ (* a 2.0) 1.0) b) t)
34.5b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
35.9b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

rewrite104.0ms

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:

44.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
50.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
4.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
5.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

series203.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
53.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
46.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
49.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

simplify1.5s

Counts

66 → 66

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	138	888
1	382	878
2	2465	724
done	5000	722

prune538.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 42.6b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ (* a 2.0) 1.0) b)
0.2b	(* (* x (cos (/ 0 16.0))) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
3.2b	(* (* (+ (* a 2.0) 1.0) b) t)
35.9b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

rewrite125.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1` `add-exp-log` `add-cbrt-cube`
10×	`add-sqr-sqrt`
9×	`associate-r`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`associate-*l/`
5×	`associate-l`
4×	`add-log-exp`
3×	`*-commutative`
2×	`flip3-+` `flip-+`
1×	`unswap-sqr`

Counts

4 → 65

Calls

4 calls:

35.0ms	(* (+ (* a 2.0) 1.0) b)
35.0ms	(* (* x (cos (/ 0 16.0))) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
45.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
8.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

series271.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(* (+ (* a 2.0) 1.0) b)
113.0ms	(* (* x (cos (/ 0 16.0))) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
63.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
53.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

simplify1.3s

Counts

77 → 77

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	127	1188
1	329	1097
2	2035	867
done	5002	865

prune504.0ms

Pruning

33 alts after pruning (33 fresh and 0 done)

Merged error: 40.9b

localize11.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune133.0ms

Pruning

33 alts after pruning (32 fresh and 1 done)

Merged error: 40.9b

localize26.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (* x (cos (/ 0 16.0))) (cos (/ (pow (* (+ (* 2.0 a) 1.0) (* b t)) 1) 16.0)))
2.4b	(* (+ (* 2.0 a) 1.0) (* b t))
35.8b	(cos (/ (pow (* (+ (* 2.0 a) 1.0) (* b t)) 1) 16.0))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`pow-prod-down` `prod-exp` `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-+` `flip-+`

Counts

3 → 45

Calls

3 calls:

25.0ms	(* (* x (cos (/ 0 16.0))) (cos (/ (pow (* (+ (* 2.0 a) 1.0) (* b t)) 1) 16.0)))
47.0ms	(* (+ (* 2.0 a) 1.0) (* b t))
8.0ms	(cos (/ (pow (* (+ (* 2.0 a) 1.0) (* b t)) 1) 16.0))

series187.0ms

Counts

3 → 9

Calls

3 calls:

82.0ms	(* (* x (cos (/ 0 16.0))) (cos (/ (pow (* (+ (* 2.0 a) 1.0) (* b t)) 1) 16.0)))
52.0ms	(* (+ (* 2.0 a) 1.0) (* b t))
53.0ms	(cos (/ (pow (* (+ (* 2.0 a) 1.0) (* b t)) 1) 16.0))

simplify995.0ms

Counts

54 → 54

Iterations

Useful iterations: done (994.0ms)

Iter	Nodes	Cost
0	103	1020
1	285	866
2	1601	662
done	5001	654

prune254.0ms

Pruning

32 alts after pruning (31 fresh and 1 done)

Merged error: 40.8b

regimes2.5s

Accuracy

0% (4.4b remaining)

Error of 44.4b against oracle of 40.0b and baseline of 44.4b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 2 (2.0ms)

Iter	Nodes	Cost
0	7	11
1	10	5
2	15	1
done	15	1

end0.0ms

sample8.7s

Algorithm

intervals

Results

3.0s	1886×	body	2560	valid
2.4s	2238×	body	1280	valid
973.0ms	1882×	body	80	valid
837.0ms	1143×	body	640	valid
681.0ms	564×	body	320	valid
133.0ms	245×	body	160	valid
116.0ms	42×	body	5120	valid