Details

Time bar (total: 6.6m)

sample13.5s

Algorithm
intervals
Results
12.8s1707×body10240exit
435.0ms169×body1280valid
102.0ms73×body640valid
11.0ms12×body320valid
0.0msbody160valid
0.0msbody80valid

simplify32.0ms

Counts
1 → 1

prune52.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize66.0ms

Local error

Found 4 expressions with local error:

6.0b
(cos (- lambda1 lambda2))
6.0b
(sin (- lambda1 lambda2))
0.6b
(+ (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2))))
0.2b
(* (cos phi2) (sin (- lambda1 lambda2)))

rewrite68.0ms

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
37.0ms
(* (cos phi2) (sin (- lambda1 lambda2)))
15.0ms
(+ (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2))))
8.0ms
(cos (- lambda1 lambda2))
8.0ms
(sin (- lambda1 lambda2))

series249.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
118.0ms
(+ (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2))))
77.0ms
(* (cos phi2) (sin (- lambda1 lambda2)))
34.0ms
(sin (- lambda1 lambda2))
20.0ms
(cos (- lambda1 lambda2))

simplify834.0ms

Counts
71 → 71

prune1.1s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

sample6.3m

Algorithm
intervals
Results
6.0m59771×body10240exit
11.6s5373×body1280valid
2.9s2099×body640valid
434.0ms423×body320valid
48.0ms93×body160valid
3.0ms12×body80valid