Details

sample14.5s

Algorithm

intervals

Results

13.9s	1825×	body	10240	exit
384.0ms	169×	body	1280	valid
93.0ms	70×	body	640	valid
15.0ms	15×	body	320	valid
0.0ms	1×	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

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (cos phi2) (cos (- lambda1 lambda2)))
0.6b	(+ (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2))))
7.4b	(sin (- lambda1 lambda2))
7.4b	(cos (- lambda1 lambda2))

rewrite65.0ms

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:

11.0ms	(* (cos phi2) (cos (- lambda1 lambda2)))
11.0ms	(+ (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2))))
15.0ms	(sin (- lambda1 lambda2))
27.0ms	(cos (- lambda1 lambda2))

series264.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(* (cos phi2) (cos (- lambda1 lambda2)))
148.0ms	(+ (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2))))
25.0ms	(sin (- lambda1 lambda2))
27.0ms	(cos (- lambda1 lambda2))

simplify4.4s

Counts

70 → 70

Iterations

Iter	Nodes
4	7096
3	1933
2	630
1	268
0	117

prune881.0ms

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

sample3.9m

Algorithm

intervals

Results

3.7m	33956×	body	10240	exit
8.4s	3128×	body	1280	valid
2.6s	1253×	body	640	valid
259.0ms	253×	body	320	valid
33.0ms	55×	body	160	valid
5.0ms	18×	body	80	valid