Details

sample255.0ms

Algorithm

intervals

Results

125.0ms	65×	body	2560	valid
49.0ms	60×	body	1280	valid
23.0ms	41×	body	640	valid
14.0ms	5×	body	5120	valid
7.0ms	20×	body	320	valid
7.0ms	57×	body	80	valid
2.0ms	8×	body	160	valid

simplify2.7s

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 46.9b

localize34.0ms

Local error

Found 4 expressions with local error:

1.8b	(* (* (+ (* a 2.0) 1.0) b) t)
2.7b	(* (* (+ (* y 2.0) 1.0) z) t)
33.2b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
36.6b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

rewrite136.0ms

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:

54.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
70.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
5.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
5.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

series227.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
58.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
57.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
46.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

simplify1.1s

Counts

66 → 66

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	138	888
1	365	878
2	1547	714
done	5000	706

prune547.0ms

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 42.2b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ (* a 2.0) 1.0) b)
0.1b	(* (* x (cos (/ 0 16.0))) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
1.8b	(* (* (+ (* a 2.0) 1.0) b) t)
36.6b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

rewrite136.0ms

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:

39.0ms	(* (+ (* a 2.0) 1.0) b)
24.0ms	(* (* x (cos (/ 0 16.0))) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
60.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
11.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

series254.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(* (+ (* a 2.0) 1.0) b)
88.0ms	(* (* x (cos (/ 0 16.0))) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
61.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
46.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

simplify2.9s

Counts

77 → 77

Iterations

Useful iterations: 3 (1.5s)

Iter	Nodes	Cost
0	127	1188
1	314	1095
2	1036	865
3	3529	851
done	5000	851

prune498.0ms

Pruning

38 alts after pruning (38 fresh and 0 done)

Merged error: 40.7b

localize7.0ms

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

prune194.0ms

Pruning

38 alts after pruning (37 fresh and 1 done)

Merged error: 40.7b

localize22.0ms

Local error

Found 3 expressions with local error:

0.1b	(* (* x (cos (/ 0 16.0))) (cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0)))
2.2b	(* (+ (* a 2.0) 1.0) (* b t))
36.7b	(cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0))

rewrite80.0ms

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:

29.0ms	(* (* x (cos (/ 0 16.0))) (cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0)))
41.0ms	(* (+ (* a 2.0) 1.0) (* b t))
9.0ms	(cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0))

series226.0ms

Counts

3 → 9

Calls

3 calls:

105.0ms	(* (* x (cos (/ 0 16.0))) (cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0)))
68.0ms	(* (+ (* a 2.0) 1.0) (* b t))
53.0ms	(cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0))

simplify2.0s

Counts

54 → 54

Iterations

Useful iterations: 3 (976.0ms)

Iter	Nodes	Cost
0	105	952
1	277	864
2	900	662
3	3241	654
done	5000	654

prune213.0ms

Pruning

40 alts after pruning (39 fresh and 1 done)

Merged error: 40.6b

regimes3.0s

Accuracy

0% (4.4b remaining)

Error of 44.2b against oracle of 39.8b and baseline of 44.2b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: done (4.0ms)

Iter	Nodes	Cost
0	8	8
1	11	3
done	11	1

end0.0ms

sample9.9s

Algorithm

intervals

Results

4.4s	1815×	body	2560	valid
2.9s	2248×	body	1280	valid
858.0ms	1169×	body	640	valid
390.0ms	566×	body	320	valid
303.0ms	1898×	body	80	valid
224.0ms	44×	body	5120	valid
114.0ms	260×	body	160	valid