Details

sample159.0ms

Algorithm

intervals

Results

57.0ms	52×	body	2560	valid
48.0ms	74×	body	1280	valid
14.0ms	37×	body	640	valid
8.0ms	3×	body	5120	valid
6.0ms	21×	body	320	valid
5.0ms	63×	body	80	valid
1.0ms	6×	body	160	valid

simplify1.3s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	27
1	42	27
2	96	27
3	197	27
4	343	27
5	526	27
6	730	27
7	960	27
8	1062	27
9	1112	27
10	1116	27
done	1116	27

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 45.7b

localize25.0ms

Local error

Found 4 expressions with local error:

1.4b	(* (* (+ (* y 2.0) 1.0) z) t)
2.0b	(* (* (+ (* a 2.0) 1.0) b) t)
31.5b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
36.4b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

rewrite37.0ms

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:

17.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
15.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
1.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
2.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

series151.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
43.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
34.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
34.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

simplify720.0ms

Counts

66 → 66

Iterations

Useful iterations: 2 (177.0ms)

Iter	Nodes	Cost
0	138	888
1	366	878
2	1459	714
done	5000	714

prune328.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 41.2b

localize16.0ms

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)))
2.0b	(* (* (+ (* a 2.0) 1.0) b) t)
31.5b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

rewrite35.0ms

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

Counts

4 → 66

Calls

4 calls:

10.0ms	(* (+ (* a 2.0) 1.0) b)
6.0ms	(* (* x 1) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
15.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
2.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

series186.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* (+ (* a 2.0) 1.0) b)
69.0ms	(* (* x 1) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
45.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
34.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

simplify2.0s

Counts

78 → 78

Iterations

Useful iterations: 3 (855.0ms)

Iter	Nodes	Cost
0	127	1134
1	317	1070
2	1016	898
3	3718	890
done	5000	890

prune335.0ms

Pruning

29 alts after pruning (29 fresh and 0 done)

Merged error: 40.1b

localize1.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify1.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune101.0ms

Pruning

29 alts after pruning (28 fresh and 1 done)

Merged error: 40.1b

localize15.0ms

Local error

Found 3 expressions with local error:

0.1b	(* (* x 1) (cos (/ (* (+ (* a 2.0) 1.0) (* t b)) 16.0)))
2.4b	(* (+ (* a 2.0) 1.0) (* t b))
31.5b	(cos (/ (* (+ (* a 2.0) 1.0) (* t b)) 16.0))

rewrite23.0ms

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

Counts

3 → 46

Calls

3 calls:

7.0ms	(* (* x 1) (cos (/ (* (+ (* a 2.0) 1.0) (* t b)) 16.0)))
13.0ms	(* (+ (* a 2.0) 1.0) (* t b))
2.0ms	(cos (/ (* (+ (* a 2.0) 1.0) (* t b)) 16.0))

series149.0ms

Counts

3 → 9

Calls

3 calls:

69.0ms	(* (* x 1) (cos (/ (* (+ (* a 2.0) 1.0) (* t b)) 16.0)))
46.0ms	(* (+ (* a 2.0) 1.0) (* t b))
34.0ms	(cos (/ (* (+ (* a 2.0) 1.0) (* t b)) 16.0))

simplify1.2s

Counts

55 → 55

Iterations

Useful iterations: 3 (337.0ms)

Iter	Nodes	Cost
0	104	898
1	278	839
2	825	677
3	2696	669
done	5000	669

prune155.0ms

Pruning

31 alts after pruning (30 fresh and 1 done)

Merged error: 39.9b

regimes1.6s

Accuracy

0% (4.4b remaining)

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

bsearch0.0ms

simplify0.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	1
done	1	1

end0.0ms

sample4.6s

Algorithm

intervals

Results

1.9s	1769×	body	2560	valid
1.4s	2278×	body	1280	valid
459.0ms	1193×	body	640	valid
162.0ms	1900×	body	80	valid
158.0ms	576×	body	320	valid
105.0ms	41×	body	5120	valid
52.0ms	243×	body	160	valid