Details

sample15.0s

Algorithm

intervals

Results

14.4s	1847×	body	10240	exit
343.0ms	162×	body	1280	valid
112.0ms	76×	body	640	valid
15.0ms	15×	body	320	valid
2.0ms	2×	body	160	valid
0.0ms	1×	body	80	valid

simplify13.0ms

Counts

1 → 1

Iterations

Iter	Nodes
3	21
2	21
1	20
0	14

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize68.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cos phi2) (sin (- lambda1 lambda2)))
0.5b	(+ (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2))))
8.3b	(sin (- lambda1 lambda2))
8.5b	(cos (- lambda1 lambda2))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 59

Calls

4 calls:

33.0ms	(* (cos phi2) (sin (- lambda1 lambda2)))
8.0ms	(+ (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2))))
13.0ms	(sin (- lambda1 lambda2))
16.0ms	(cos (- lambda1 lambda2))

series331.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(* (cos phi2) (sin (- lambda1 lambda2)))
178.0ms	(+ (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2))))
38.0ms	(sin (- lambda1 lambda2))
37.0ms	(cos (- lambda1 lambda2))

simplify749.0ms

Counts

71 → 71

Iterations

Iter	Nodes
3	2226
2	677
1	269
0	116

prune1.1s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify4.0ms

Iterations

Iter	Nodes
2	18
1	18
0	14

end0.0ms

sample6.4m

Algorithm

intervals

Results

6.1m	59826×	body	10240	exit
11.7s	5364×	body	1280	valid
3.8s	2082×	body	640	valid
556.0ms	446×	body	320	valid
49.0ms	91×	body	160	valid
4.0ms	17×	body	80	valid