Details

sample268.0ms

Algorithm

intervals

Results

140.0ms	67×	body	2560	valid
57.0ms	67×	body	1280	valid
19.0ms	35×	body	640	valid
8.0ms	62×	body	80	valid
6.0ms	16×	body	320	valid
3.0ms	1×	body	5120	valid
2.0ms	8×	body	160	valid

simplify2.8s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	27
1	42	27
2	98	27
3	221	27
4	391	27
5	608	27
6	826	27
7	982	27
8	1072	27
9	1216	27
10	1228	27
done	1228	27

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 46.7b

localize38.0ms

Local error

Found 4 expressions with local error:

2.2b	(* (* (+ (* y 2.0) 1.0) z) t)
3.9b	(* (* (+ (* a 2.0) 1.0) b) t)
34.8b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
37.1b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

rewrite119.0ms

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:

50.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
53.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
5.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
10.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

series200.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
53.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
44.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
53.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

simplify1.2s

Counts

66 → 66

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	138	888
1	365	878
2	1549	714
done	5000	706

prune421.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 41.9b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ (* y 2.0) 1.0) z)
0.1b	(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
2.2b	(* (* (+ (* y 2.0) 1.0) z) t)
34.8b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 65

Calls

4 calls:

34.0ms	(* (+ (* y 2.0) 1.0) z)
9.0ms	(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
56.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
5.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

series276.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(* (+ (* y 2.0) 1.0) z)
117.0ms	(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
54.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
50.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

simplify3.5s

Counts

77 → 77

Iterations

Useful iterations: 2 (192.0ms)

Iter	Nodes	Cost
0	118	1057
1	281	1046
2	1065	870
3	4303	870
done	5000	870

prune519.0ms

Pruning

33 alts after pruning (33 fresh and 0 done)

Merged error: 40.2b

localize5.0ms

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

prune190.0ms

Pruning

33 alts after pruning (32 fresh and 1 done)

Merged error: 40.2b

localize32.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (cos (/ (pow (* (* z t) (+ (* y 2.0) 1.0)) 1) 16.0)))
2.2b	(* (* z t) (+ (* y 2.0) 1.0))
34.8b	(cos (/ (pow (* (* z t) (+ (* y 2.0) 1.0)) 1) 16.0))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 47

Calls

3 calls:

8.0ms	(* x (cos (/ (pow (* (* z t) (+ (* y 2.0) 1.0)) 1) 16.0)))
56.0ms	(* (* z t) (+ (* y 2.0) 1.0))
11.0ms	(cos (/ (pow (* (* z t) (+ (* y 2.0) 1.0)) 1) 16.0))

series173.0ms

Counts

3 → 9

Calls

3 calls:

87.0ms	(* x (cos (/ (pow (* (* z t) (+ (* y 2.0) 1.0)) 1) 16.0)))
57.0ms	(* (* z t) (+ (* y 2.0) 1.0))
29.0ms	(cos (/ (pow (* (* z t) (+ (* y 2.0) 1.0)) 1) 16.0))

simplify1.5s

Counts

56 → 56

Iterations

Useful iterations: 2 (200.0ms)

Iter	Nodes	Cost
0	102	918
1	278	836
2	1153	702
done	5001	702

prune240.0ms

Pruning

34 alts after pruning (32 fresh and 2 done)

Merged error: 39.8b

regimes3.0s

Accuracy

0% (4.6b remaining)

Error of 44.0b against oracle of 39.4b and baseline of 44.0b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 2 (2.0ms)

Iter	Nodes	Cost
0	6	6
1	8	3
2	9	1
done	9	1

end0.0ms

sample9.6s

Algorithm

intervals

Results

4.1s	1813×	body	2560	valid
3.0s	2198×	body	1280	valid
943.0ms	1210×	body	640	valid
456.0ms	1940×	body	80	valid
298.0ms	559×	body	320	valid
147.0ms	47×	body	5120	valid
63.0ms	233×	body	160	valid