Details

sample168.0ms

Algorithm

intervals

Results

64.0ms	52×	body	2560	valid
45.0ms	74×	body	1280	valid
14.0ms	37×	body	640	valid
9.0ms	3×	body	5120	valid
6.0ms	21×	body	320	valid
6.0ms	63×	body	80	valid
1.0ms	6×	body	160	valid

simplify1.6s

Counts

1 → 1

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	23	27
1	44	25
2	100	25
3	211	25
4	385	25
5	608	25
6	850	25
7	1114	25
8	1224	25
9	1298	25
10	1326	25
done	1326	25

prune11.0ms

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×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`flip3-+` `associate-l` `*-commutative` `flip-+`

Counts

4 → 62

Calls

4 calls:

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

series181.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
52.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
39.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
44.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

simplify766.0ms

Counts

74 → 74

Iterations

Useful iterations: 2 (197.0ms)

Iter	Nodes	Cost
0	146	980
1	382	886
2	1515	744
done	5000	744

prune470.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 41.0b

localize16.0ms

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

rewrite41.0ms

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×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
2×	`flip3-+` `flip-+`
1×	`unswap-sqr`

Counts

4 → 73

Calls

4 calls:

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

series217.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(* (+ (* a 2.0) 1.0) b)
76.0ms	(* (* x (cos (/ 0 16.0))) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
51.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
39.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

simplify2.4s

Counts

85 → 85

Iterations

Useful iterations: 3 (995.0ms)

Iter	Nodes	Cost
0	135	1290
1	329	1096
2	1198	910
3	4288	862
done	5000	862

prune465.0ms

Pruning

32 alts after pruning (32 fresh and 0 done)

Merged error: 39.9b

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

prune131.0ms

Pruning

32 alts after pruning (31 fresh and 1 done)

Merged error: 39.9b

localize20.0ms

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

rewrite24.0ms

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×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`associate-l/` `-commutative`
1×	`flip3-+` `flip-+`

Counts

3 → 51

Calls

3 calls:

7.0ms	(* (* x (cos (/ 0 16.0))) (cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0)))
14.0ms	(* (+ (* a 2.0) 1.0) (* b t))
2.0ms	(cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0))

series161.0ms

Counts

3 → 9

Calls

3 calls:

74.0ms	(* (* x (cos (/ 0 16.0))) (cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0)))
49.0ms	(* (+ (* a 2.0) 1.0) (* b t))
38.0ms	(cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0))

simplify1.5s

Counts

60 → 60

Iterations

Useful iterations: 3 (491.0ms)

Iter	Nodes	Cost
0	111	1038
1	286	877
2	994	721
3	3204	673
done	5000	673

prune226.0ms

Pruning

32 alts after pruning (31 fresh and 1 done)

Merged error: 39.8b

regimes2.1s

Accuracy

0% (4.5b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	1
done	1	1

end0.0ms

sample5.1s

Algorithm

intervals

Results

2.0s	1769×	body	2560	valid
1.4s	2278×	body	1280	valid
489.0ms	1193×	body	640	valid
417.0ms	1900×	body	80	valid
163.0ms	576×	body	320	valid
110.0ms	41×	body	5120	valid
51.0ms	243×	body	160	valid