Details

Time bar (total: 6.4m)

sample16.4s

Algorithm
intervals
Results
15.7s2068×body10240exit
418.0ms173×body1280valid
95.0ms66×body640valid
15.0ms14×body320valid
2.0msbody160valid

simplify17.0ms

Counts
1 → 1

prune20.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize76.0ms

Local error

Found 4 expressions with local error:

7.1b
(cos (- lambda1 lambda2))
6.9b
(sin (- lambda1 lambda2))
0.4b
(+ (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2))))
0.2b
(* (cos phi2) (cos (- lambda1 lambda2)))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt add-log-exp
cos-diff
insert-posit16
associate-*r* associate-*l*
distribute-rgt-in cos-sum associate-+r+ sub-neg distribute-lft-in sin-sum
+-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:
Slowest
16.0ms
(* (cos phi2) (cos (- lambda1 lambda2)))
11.0ms
(cos (- lambda1 lambda2))
8.0ms
(+ (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2))))
8.0ms
(sin (- lambda1 lambda2))

series273.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
138.0ms
(+ (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2))))
78.0ms
(* (cos phi2) (cos (- lambda1 lambda2)))
29.0ms
(sin (- lambda1 lambda2))
28.0ms
(cos (- lambda1 lambda2))

simplify1.6s

Counts
70 → 70

prune1.2s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

sample6.0m

Algorithm
intervals
Results
5.7m59177×body10240exit
11.7s5346×body1280valid
3.0s2142×body640valid
358.0ms413×body320valid
40.0ms82×body160valid
4.0ms17×body80valid