Details

sample254.0ms

Algorithm

intervals

Results

111.0ms	86×	body	1280	valid
77.0ms	52×	body	2560	valid
17.0ms	34×	body	640	valid
8.0ms	59×	body	80	valid
6.0ms	15×	body	320	valid
3.0ms	1×	body	5120	valid
2.0ms	9×	body	160	valid

simplify3.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	1777
10	1777
9	1741
8	1551
7	1453
6	1243
5	902
4	507
3	233
2	101
1	44
0	23

prune22.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 45.7b

localize41.0ms

Local error

Found 4 expressions with local error:

2.1b	(* (* (/ z 16.0) t) (fma 2.0 y 1.0))
2.5b	(* (* (/ b 16.0) t) (fma a 2.0 1.0))
34.1b	(cos (* (* (/ z 16.0) t) (fma 2.0 y 1.0)))
34.1b	(cos (* (* (/ b 16.0) t) (fma a 2.0 1.0)))

rewrite132.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-cbrt-cube` `add-exp-log`
14×	`pow1`
10×	`prod-exp` `cbrt-unprod`
8×	`fma-udef`
6×	`add-sqr-sqrt` `-un-lft-identity` `associate-r*` `pow-prod-down` `add-cube-cbrt`
4×	`distribute-rgt-in` `expm1-log1p-u` `cos-sum` `distribute-lft-in` `associate-*l/` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `div-exp` `associate-l` `*-commutative`

Counts

4 → 72

Calls

4 calls:

45.0ms	(* (* (/ z 16.0) t) (fma 2.0 y 1.0))
46.0ms	(* (* (/ b 16.0) t) (fma a 2.0 1.0))
17.0ms	(cos (* (* (/ z 16.0) t) (fma 2.0 y 1.0)))
19.0ms	(cos (* (* (/ b 16.0) t) (fma a 2.0 1.0)))

series251.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(* (* (/ z 16.0) t) (fma 2.0 y 1.0))
81.0ms	(* (* (/ b 16.0) t) (fma a 2.0 1.0))
31.0ms	(cos (* (* (/ z 16.0) t) (fma 2.0 y 1.0)))
48.0ms	(cos (* (* (/ b 16.0) t) (fma a 2.0 1.0)))

simplify1.4s

Counts

84 → 84

Iterations

Iter	Nodes
done	5001
2	2515
1	436
0	182

prune1.0s

Pruning

28 alts after pruning (28 fresh and 0 done)

Merged error: 41.3b

localize46.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* (cos (* (* (/ z 16.0) t) (fma 2.0 y 1.0))) x) (cos (* 0.0625 (* t b))))
2.1b	(* (* (/ z 16.0) t) (fma 2.0 y 1.0))
28.6b	(cos (* 0.0625 (* t b)))
34.1b	(cos (* (* (/ z 16.0) t) (fma 2.0 y 1.0)))

rewrite127.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-cbrt-cube` `add-exp-log`
14×	`pow1`
8×	`prod-exp` `cbrt-unprod`
6×	`add-sqr-sqrt` `-un-lft-identity` `associate-r*` `pow-prod-down` `add-cube-cbrt`
4×	`expm1-log1p-u` `fma-udef` `log1p-expm1-u` `add-log-exp`
2×	`distribute-rgt-in` `cos-sum` `distribute-lft-in` `associate-l` `associate-l/` `-commutative`
1×	`cbrt-undiv` `div-exp`

Counts

4 → 65

Calls

4 calls:

71.0ms	(* (* (cos (* (* (/ z 16.0) t) (fma 2.0 y 1.0))) x) (cos (* 0.0625 (* t b))))
24.0ms	(* (* (/ z 16.0) t) (fma 2.0 y 1.0))
13.0ms	(cos (* 0.0625 (* t b)))
18.0ms	(cos (* (* (/ z 16.0) t) (fma 2.0 y 1.0)))

series353.0ms

Counts

4 → 12

Calls

4 calls:

230.0ms	(* (* (cos (* (* (/ z 16.0) t) (fma 2.0 y 1.0))) x) (cos (* 0.0625 (* t b))))
79.0ms	(* (* (/ z 16.0) t) (fma 2.0 y 1.0))
13.0ms	(cos (* 0.0625 (* t b)))
30.0ms	(cos (* (* (/ z 16.0) t) (fma 2.0 y 1.0)))

simplify1.3s

Counts

77 → 77

Iterations

Iter	Nodes
done	5001
2	2139
1	366
0	148

prune979.0ms

Pruning

39 alts after pruning (39 fresh and 0 done)

Merged error: 40.2b

localize80.0ms

Local error

Found 4 expressions with local error:

27.4b	(cos (* (* 2.0 y) (* (/ z 16.0) t)))
28.6b	(cos (* 0.0625 (* t b)))
29.6b	(cos (* 1.0 (* (/ z 16.0) t)))
30.0b	(sin (* 1.0 (* (/ z 16.0) t)))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `log1p-expm1-u` `add-log-exp`

Counts

4 → 36

Calls

4 calls:

31.0ms	(cos (* (* 2.0 y) (* (/ z 16.0) t)))
14.0ms	(cos (* 0.0625 (* t b)))
17.0ms	(cos (* 1.0 (* (/ z 16.0) t)))
15.0ms	(sin (* 1.0 (* (/ z 16.0) t)))

series85.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(cos (* (* 2.0 y) (* (/ z 16.0) t)))
20.0ms	(cos (* 0.0625 (* t b)))
16.0ms	(cos (* 1.0 (* (/ z 16.0) t)))
19.0ms	(sin (* 1.0 (* (/ z 16.0) t)))

simplify2.7s

Counts

48 → 48

Iterations

Iter	Nodes
done	5001
8	4697
7	1925
6	1178
5	782
4	534
3	328
2	176
1	95
0	65

prune909.0ms

Pruning

42 alts after pruning (42 fresh and 0 done)

Merged error: 40.2b

localize90.0ms

Local error

Found 4 expressions with local error:

27.4b	(cos (* (* 2.0 y) (* (/ z 16.0) t)))
28.6b	(cos (* 0.0625 (* t b)))
29.6b	(cos (* 1.0 (* (/ z 16.0) t)))
30.0b	(sin (* 1.0 (* (/ z 16.0) t)))

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `log1p-expm1-u` `add-log-exp`

Counts

4 → 36

Calls

4 calls:

20.0ms	(cos (* (* 2.0 y) (* (/ z 16.0) t)))
16.0ms	(cos (* 0.0625 (* t b)))
25.0ms	(cos (* 1.0 (* (/ z 16.0) t)))
24.0ms	(sin (* 1.0 (* (/ z 16.0) t)))

series73.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cos (* (* 2.0 y) (* (/ z 16.0) t)))
12.0ms	(cos (* 0.0625 (* t b)))
11.0ms	(cos (* 1.0 (* (/ z 16.0) t)))
28.0ms	(sin (* 1.0 (* (/ z 16.0) t)))

simplify2.3s

Counts

48 → 48

Iterations

Iter	Nodes
done	5001
8	4697
7	1925
6	1178
5	782
4	534
3	328
2	176
1	95
0	65

prune495.0ms

Pruning

41 alts after pruning (41 fresh and 0 done)

Merged error: 40.2b

regimes2.8s

Accuracy

0% (5.9b remaining)

Error of 45.4b against oracle of 39.5b and baseline of 45.4b

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	40
1	40
0	30

end0.0ms

sample8.0s

Algorithm

intervals

Results

3.6s	2257×	body	1280	valid
2.6s	1808×	body	2560	valid
690.0ms	1185×	body	640	valid
286.0ms	1915×	body	80	valid
212.0ms	558×	body	320	valid
121.0ms	244×	body	160	valid
88.0ms	33×	body	5120	valid