Details

sample14.8s

Algorithm

intervals

Results

14.2s	1888×	body	10240	exit
398.0ms	182×	body	1280	valid
106.0ms	58×	body	640	valid
13.0ms	11×	body	320	valid
3.0ms	4×	body	160	valid
0.0ms	1×	body	80	valid

simplify9.0ms

Counts

1 → 1

Iterations

Iter	Nodes
3	21
2	21
1	20
0	14

prune34.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize59.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cos phi2) (cos (- lambda1 lambda2)))
0.5b	(+ (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2))))
5.8b	(sin (- lambda1 lambda2))
6.3b	(cos (- lambda1 lambda2))

rewrite72.0ms

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:

22.0ms	(* (cos phi2) (cos (- lambda1 lambda2)))
17.0ms	(+ (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2))))
17.0ms	(sin (- lambda1 lambda2))
16.0ms	(cos (- lambda1 lambda2))

series318.0ms

Counts

4 → 12

Calls

4 calls:

89.0ms	(* (cos phi2) (cos (- lambda1 lambda2)))
170.0ms	(+ (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2))))
38.0ms	(sin (- lambda1 lambda2))
21.0ms	(cos (- lambda1 lambda2))

simplify3.8s

Counts

70 → 70

Iterations

Iter	Nodes
4	6632
3	1966
2	626
1	266
0	117

prune1.0s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify2.0ms

Iterations

Iter	Nodes
2	18
1	18
0	14

end0.0ms

sample6.5m

Algorithm

intervals

Results

6.1m	58742×	body	10240	exit
13.7s	5330×	body	1280	valid
3.6s	2110×	body	640	valid
516.0ms	431×	body	320	valid
311.0ms	98×	body	160	valid
9.0ms	31×	body	80	valid