Details

sample15.6s

Algorithm

intervals

Results

14.8s	1878×	body	10240	exit
424.0ms	165×	body	1280	valid
155.0ms	73×	body	640	valid
14.0ms	14×	body	320	valid
2.0ms	2×	body	160	valid
1.0ms	2×	body	80	valid

simplify21.0ms

Counts

1 → 1

Iterations

Iter	Nodes
3	21
2	21
1	20
0	14

prune52.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (cos phi2) (cos (- lambda1 lambda2)))
0.6b	(+ (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2))))
7.7b	(cos (- lambda1 lambda2))
7.8b	(sin (- lambda1 lambda2))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `add-log-exp`
5×	`cos-diff`
4×	`insert-posit16`
3×	`associate-r` `associate-l`
2×	`distribute-rgt-in` `cos-sum` `associate-+r+` `sub-neg` `distribute-lft-in` `sin-sum`
1×	`+-commutative` `sum-log` `flip3-+` `pow-prod-down` `prod-exp` `cos-mult` `sin-diff` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 58

Calls

4 calls:

18.0ms	(* (cos phi2) (cos (- lambda1 lambda2)))
12.0ms	(+ (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2))))
13.0ms	(cos (- lambda1 lambda2))
9.0ms	(sin (- lambda1 lambda2))

series297.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(* (cos phi2) (cos (- lambda1 lambda2)))
160.0ms	(+ (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2))))
20.0ms	(cos (- lambda1 lambda2))
39.0ms	(sin (- lambda1 lambda2))

simplify4.4s

Counts

70 → 70

Iterations

Iter	Nodes
4	7019
3	1981
2	635
1	268
0	117

prune1.2s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify5.0ms

Iterations

Iter	Nodes
2	18
1	18
0	14

end0.0ms

sample6.3m

Algorithm

intervals

Results

6.0m	60443×	body	10240	exit
11.8s	5396×	body	1280	valid
2.9s	2083×	body	640	valid
370.0ms	416×	body	320	valid
66.0ms	87×	body	160	valid
5.0ms	18×	body	80	valid