Details

Time bar (total: 6.3m)

sample15.3s

Algorithm
intervals
Results
14.6s1965×body10240exit
459.0ms179×body1280valid
81.0ms63×body640valid
11.0ms11×body320valid
2.0msbody160valid

simplify24.0ms

Counts
1 → 1

prune33.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize59.0ms

Local error

Found 4 expressions with local error:

6.5b
(cos (- lambda1 lambda2))
6.4b
(sin (- lambda1 lambda2))
0.6b
(+ (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2))))
0.2b
(* (cos phi2) (sin (- lambda1 lambda2)))

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
pow1 *-un-lft-identity add-cbrt-cube sin-sum add-exp-log add-cube-cbrt add-log-exp
sub-neg insert-posit16
distribute-rgt-in cos-diff distribute-lft-in associate-*r* associate-*l*
cos-sum associate-+r+
+-commutative sum-log flip3-+ pow-prod-down prod-exp sin-diff *-commutative cbrt-unprod flip-+ unswap-sqr
Counts
4 → 59
Calls
4 calls:
Slowest
29.0ms
(* (cos phi2) (sin (- lambda1 lambda2)))
17.0ms
(+ (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2))))
17.0ms
(cos (- lambda1 lambda2))
16.0ms
(sin (- lambda1 lambda2))

series276.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
136.0ms
(+ (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2))))
74.0ms
(* (cos phi2) (sin (- lambda1 lambda2)))
40.0ms
(sin (- lambda1 lambda2))
26.0ms
(cos (- lambda1 lambda2))

simplify1.8s

Counts
71 → 71

prune1.2s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

sample5.9m

Algorithm
intervals
Results
5.6m58634×body10240exit
11.6s5392×body1280valid
3.6s2080×body640valid
341.0ms419×body320valid
38.0ms85×body160valid
6.0ms24×body80valid