Details

sample263.0ms

Algorithm

intervals

Results

123.0ms	54×	body	2560	valid
61.0ms	75×	body	1280	valid
19.0ms	31×	body	640	valid
14.0ms	4×	body	5120	valid
9.0ms	70×	body	80	valid
5.0ms	14×	body	320	valid
2.0ms	8×	body	160	valid

simplify2.9s

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

prune38.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 43.3b

localize62.0ms

Local error

Found 4 expressions with local error:

2.2b	(* (* (/ z 16.0) t) (fma 2.0 y 1.0))
2.9b	(* (* (/ b 16.0) t) (fma a 2.0 1.0))
30.3b	(cos (* (* (/ b 16.0) t) (fma a 2.0 1.0)))
33.4b	(cos (* (* (/ z 16.0) t) (fma 2.0 y 1.0)))

rewrite103.0ms

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:

26.0ms	(* (* (/ z 16.0) t) (fma 2.0 y 1.0))
25.0ms	(* (* (/ b 16.0) t) (fma a 2.0 1.0))
26.0ms	(cos (* (* (/ b 16.0) t) (fma a 2.0 1.0)))
24.0ms	(cos (* (* (/ z 16.0) t) (fma 2.0 y 1.0)))

series263.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(* (* (/ z 16.0) t) (fma 2.0 y 1.0))
96.0ms	(* (* (/ b 16.0) t) (fma a 2.0 1.0))
30.0ms	(cos (* (* (/ b 16.0) t) (fma a 2.0 1.0)))
47.0ms	(cos (* (* (/ z 16.0) t) (fma 2.0 y 1.0)))

simplify1.4s

Counts

84 → 84

Iterations

Iter	Nodes
done	5000
2	2512
1	436
0	182

prune903.0ms

Pruning

26 alts after pruning (26 fresh and 0 done)

Merged error: 38.6b

localize40.0ms

Local error

Found 3 expressions with local error:

0.1b	(* (* 1 x) (cos (* (* (/ b 16.0) t) (fma a 2.0 1.0))))
2.9b	(* (* (/ b 16.0) t) (fma a 2.0 1.0))
30.3b	(cos (* (* (/ b 16.0) t) (fma a 2.0 1.0)))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 57

Calls

3 calls:

31.0ms	(* (* 1 x) (cos (* (* (/ b 16.0) t) (fma a 2.0 1.0))))
23.0ms	(* (* (/ b 16.0) t) (fma a 2.0 1.0))
15.0ms	(cos (* (* (/ b 16.0) t) (fma a 2.0 1.0)))

series220.0ms

Counts

3 → 9

Calls

3 calls:

100.0ms	(* (* 1 x) (cos (* (* (/ b 16.0) t) (fma a 2.0 1.0))))
91.0ms	(* (* (/ b 16.0) t) (fma a 2.0 1.0))
29.0ms	(cos (* (* (/ b 16.0) t) (fma a 2.0 1.0)))

simplify1.2s

Counts

66 → 66

Iterations

Iter	Nodes
done	5000
2	1903
1	338
0	138

prune845.0ms

Pruning

39 alts after pruning (39 fresh and 0 done)

Merged error: 37.7b

localize2.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Iter	Nodes
done	0
0	0

prune389.0ms

Pruning

39 alts after pruning (38 fresh and 1 done)

Merged error: 37.7b

localize70.0ms

Local error

Found 4 expressions with local error:

24.3b	(cos (* (* (/ b 16.0) t) 1.0))
24.3b	(sin (* (* (/ b 16.0) t) 1.0))
25.5b	(cos (* (* (/ b 16.0) t) (* a 2.0)))
25.7b	(sin (* (* (/ b 16.0) t) (* a 2.0)))

rewrite121.0ms

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:

21.0ms	(cos (* (* (/ b 16.0) t) 1.0))
19.0ms	(sin (* (* (/ b 16.0) t) 1.0))
37.0ms	(cos (* (* (/ b 16.0) t) (* a 2.0)))
43.0ms	(sin (* (* (/ b 16.0) t) (* a 2.0)))

series93.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(cos (* (* (/ b 16.0) t) 1.0))
20.0ms	(sin (* (* (/ b 16.0) t) 1.0))
29.0ms	(cos (* (* (/ b 16.0) t) (* a 2.0)))
32.0ms	(sin (* (* (/ b 16.0) t) (* a 2.0)))

simplify2.4s

Counts

48 → 48

Iterations

Iter	Nodes
done	5000
8	4717
7	1905
6	1134
5	746
4	483
3	300
2	166
1	91
0	64

prune400.0ms

Pruning

45 alts after pruning (44 fresh and 1 done)

Merged error: 37.5b

regimes3.1s

Accuracy

0% (4.8b remaining)

Error of 44.5b against oracle of 39.7b and baseline of 44.5b

bsearch0.0ms

simplify0.0ms

Iterations

Iter	Nodes
done	1
0	1

end0.0ms

sample7.9s

Algorithm

intervals

Results

3.2s	1829×	body	2560	valid
2.6s	2302×	body	1280	valid
772.0ms	1209×	body	640	valid
531.0ms	518×	body	320	valid
305.0ms	1860×	body	80	valid
103.0ms	39×	body	5120	valid
87.0ms	243×	body	160	valid