Details

Time bar (total: 1.4s)

sample654.0ms

Algorithm
intervals
Results
481.0ms141×body1280valid
111.0ms68×body640valid
15.0ms15×body320valid
7.0ms23×body80valid
7.0msbody160valid

simplify613.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01724
12824
24724
37824
48824
done8824

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.9b

localize44.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cos phi1) (sin phi2))
0.2b
(* (* (sin phi1) (cos phi2)) (cos (- lambda1 lambda2)))
3.2b
(sin (- lambda1 lambda2))
3.5b
(cos (- lambda1 lambda2))

rewrite94.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
19×add-cube-cbrt *-un-lft-identity
18×prod-diff
11×pow1 add-exp-log cos-sum sin-sum add-cbrt-cube
associate-*r*
expm1-log1p-u associate-*l* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u add-log-exp
cos-diff
sub-neg *-commutative
distribute-rgt-in distribute-lft-in associate-*l/ sin-diff sin-cos-mult unswap-sqr
Counts
4 → 85
Calls
4 calls:
13.0ms
(* (cos phi1) (sin phi2))
50.0ms
(* (* (sin phi1) (cos phi2)) (cos (- lambda1 lambda2)))
14.0ms
(sin (- lambda1 lambda2))
14.0ms
(cos (- lambda1 lambda2))

series13.0ms