Details

Time bar (total: 783.0ms)

sample555.0ms

Algorithm
intervals
Results
300.0ms156×body1280valid
123.0ms63×body640valid
19.0ms24×body320valid
5.0msbody160valid
1.0msbody80valid

simplify33.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
01719
12619
23319
33519
done3519

prune53.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.8b

localize47.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))
0.3b
(* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)
0.8b
(acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))
3.2b
(cos (- lambda1 lambda2))

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1 add-exp-log add-cbrt-cube
add-sqr-sqrt
add-cube-cbrt *-un-lft-identity
associate-*r*
associate-*l* pow-prod-down prod-exp cbrt-unprod add-log-exp
cos-diff
cos-sum *-commutative
distribute-rgt-in acos-asin sub-neg distribute-lft-in associate-*l/ cos-mult unswap-sqr
Counts
4 → 57
Calls
4 calls:
44.0ms
(* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))
14.0ms
(* (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))

series20.0ms