Details

Time bar (total: 949.0ms)

sample753.0ms

Algorithm
intervals
Results
518.0ms155×body1280valid
106.0ms70×body640valid
21.0ms20×body320valid
7.0msbody160valid
1.0msbody80valid

simplify25.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
01719
12619
23319
33519
done3519

prune46.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.7b

localize45.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (sin phi1) (sin phi2))
0.3b
(* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)
1.2b
(acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))
2.8b
(cos (- lambda1 lambda2))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
associate-*r* associate-*l*
add-log-exp
cos-sum pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
acos-asin cos-diff sub-neg sin-mult
Counts
4 → 55
Calls
4 calls:
23.0ms
(* (sin phi1) (sin phi2))
8.0ms
(* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)
2.0ms
(acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))
13.0ms
(cos (- lambda1 lambda2))

series30.0ms