0.004 * [progress]: [Phase 1 of 3] Setting up.
0.005 * * * [progress]: [1/2] Preparing points
1.143 * * * [progress]: [2/2] Setting up program.
1.155 * [progress]: [Phase 2 of 3] Improving.
1.155 * * * * [progress]: [ 1 / 1 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
1.157 * [simplify]: Simplifying (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)
1.159 * * [simplify]: iters left: 6 (17 enodes)
1.172 * * [simplify]: iters left: 5 (60 enodes)
1.184 * * [simplify]: iters left: 4 (71 enodes)
1.194 * * [simplify]: iters left: 3 (76 enodes)
1.203 * * [simplify]: Extracting #0: cost 1 inf + 0
1.203 * * [simplify]: Extracting #1: cost 4 inf + 0
1.203 * * [simplify]: Extracting #2: cost 5 inf + 1
1.203 * * [simplify]: Extracting #3: cost 8 inf + 1
1.204 * * [simplify]: Extracting #4: cost 18 inf + 1
1.204 * * [simplify]: Extracting #5: cost 29 inf + 1
1.204 * * [simplify]: Extracting #6: cost 25 inf + 369
1.204 * * [simplify]: Extracting #7: cost 19 inf + 979
1.204 * * [simplify]: Extracting #8: cost 9 inf + 2522
1.205 * * [simplify]: Extracting #9: cost 0 inf + 6397
1.206 * [simplify]: Simplified to (* R (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))
1.206 * [simplify]: Simplified (2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))))
1.214 * * [progress]: iteration 1 / 4
1.214 * * * [progress]: picking best candidate
1.219 * * * * [pick]: Picked  #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
1.219 * * * [progress]: localizing error
1.295 * * * [progress]: generating rewritten candidates
1.295 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 2)
1.315 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1)
1.318 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1)
1.340 * * * * [progress]: [ 4 / 4 ] rewriting at (2)
1.350 * * * [progress]: generating series expansions
1.357 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 2)
1.360 * [backup-simplify]: Simplify (cos (- lambda1 lambda2)) into (cos (- lambda1 lambda2))
1.360 * [approximate]: Taking taylor expansion of (cos (- lambda1 lambda2)) in (lambda1 lambda2) around 0
1.360 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda2
1.360 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda2
1.361 * [taylor]: Taking taylor expansion of lambda1 in lambda2
1.361 * [backup-simplify]: Simplify lambda1 into lambda1
1.361 * [taylor]: Taking taylor expansion of lambda2 in lambda2
1.361 * [backup-simplify]: Simplify 0 into 0
1.361 * [backup-simplify]: Simplify 1 into 1
1.361 * [backup-simplify]: Simplify (- 0) into 0
1.362 * [backup-simplify]: Simplify (+ lambda1 0) into lambda1
1.362 * [backup-simplify]: Simplify (cos lambda1) into (cos lambda1)
1.362 * [backup-simplify]: Simplify (sin lambda1) into (sin lambda1)
1.362 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1
1.362 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1
1.362 * [taylor]: Taking taylor expansion of lambda1 in lambda1
1.362 * [backup-simplify]: Simplify 0 into 0
1.362 * [backup-simplify]: Simplify 1 into 1
1.362 * [taylor]: Taking taylor expansion of lambda2 in lambda1
1.362 * [backup-simplify]: Simplify lambda2 into lambda2
1.362 * [backup-simplify]: Simplify (- lambda2) into (- lambda2)
1.362 * [backup-simplify]: Simplify (+ 0 (- lambda2)) into (- lambda2)
1.362 * [backup-simplify]: Simplify (cos (- lambda2)) into (cos (- lambda2))
1.362 * [backup-simplify]: Simplify (sin (- lambda2)) into (sin (- lambda2))
1.362 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1
1.362 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1
1.362 * [taylor]: Taking taylor expansion of lambda1 in lambda1
1.362 * [backup-simplify]: Simplify 0 into 0
1.362 * [backup-simplify]: Simplify 1 into 1
1.362 * [taylor]: Taking taylor expansion of lambda2 in lambda1
1.362 * [backup-simplify]: Simplify lambda2 into lambda2
1.362 * [backup-simplify]: Simplify (- lambda2) into (- lambda2)
1.362 * [backup-simplify]: Simplify (+ 0 (- lambda2)) into (- lambda2)
1.362 * [backup-simplify]: Simplify (cos (- lambda2)) into (cos (- lambda2))
1.362 * [backup-simplify]: Simplify (sin (- lambda2)) into (sin (- lambda2))
1.364 * [backup-simplify]: Simplify (* (cos (- lambda2)) 1) into (cos (- lambda2))
1.364 * [backup-simplify]: Simplify (* (sin (- lambda2)) 0) into 0
1.365 * [backup-simplify]: Simplify (- 0) into 0
1.365 * [backup-simplify]: Simplify (+ (cos (- lambda2)) 0) into (cos (- lambda2))
1.365 * [taylor]: Taking taylor expansion of (cos (- lambda2)) in lambda2
1.365 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2
1.365 * [taylor]: Taking taylor expansion of lambda2 in lambda2
1.365 * [backup-simplify]: Simplify 0 into 0
1.365 * [backup-simplify]: Simplify 1 into 1
1.365 * [backup-simplify]: Simplify (- 0) into 0
1.365 * [backup-simplify]: Simplify (- 1) into -1
1.365 * [backup-simplify]: Simplify 1 into 1
1.366 * [backup-simplify]: Simplify (+ 0) into 0
1.367 * [backup-simplify]: Simplify (+ (* (cos (- lambda2)) 0) (* 0 1)) into 0
1.367 * [backup-simplify]: Simplify (- 0) into 0
1.368 * [backup-simplify]: Simplify (+ 1 0) into 1
1.368 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
1.368 * [backup-simplify]: Simplify (+ (* (sin (- lambda2)) 1) (* 0 0)) into (sin (- lambda2))
1.369 * [backup-simplify]: Simplify (- (sin (- lambda2))) into (- (sin (- lambda2)))
1.369 * [backup-simplify]: Simplify (+ 0 (- (sin (- lambda2)))) into (- (sin (- lambda2)))
1.369 * [taylor]: Taking taylor expansion of (- (sin (- lambda2))) in lambda2
1.369 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2
1.369 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2
1.369 * [taylor]: Taking taylor expansion of lambda2 in lambda2
1.369 * [backup-simplify]: Simplify 0 into 0
1.369 * [backup-simplify]: Simplify 1 into 1
1.369 * [backup-simplify]: Simplify (- 0) into 0
1.369 * [backup-simplify]: Simplify (- 1) into -1
1.369 * [backup-simplify]: Simplify (- 0) into 0
1.369 * [backup-simplify]: Simplify 0 into 0
1.370 * [backup-simplify]: Simplify (+ 0) into 0
1.370 * [backup-simplify]: Simplify 0 into 0
1.370 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
1.371 * [backup-simplify]: Simplify (+ (* (cos (- lambda2)) -1/2) (+ (* 0 0) (* 0 1))) into (- (* 1/2 (cos (- lambda2))))
1.372 * [backup-simplify]: Simplify (- 0) into 0
1.372 * [backup-simplify]: Simplify (+ 0 0) into 0
1.372 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
1.373 * [backup-simplify]: Simplify (+ (* (sin (- lambda2)) 0) (+ (* 0 1) (* 0 0))) into 0
1.373 * [backup-simplify]: Simplify (- 0) into 0
1.373 * [backup-simplify]: Simplify (+ (- (* 1/2 (cos (- lambda2)))) 0) into (- (* 1/2 (cos (- lambda2))))
1.373 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos (- lambda2)))) in lambda2
1.373 * [taylor]: Taking taylor expansion of (* 1/2 (cos (- lambda2))) in lambda2
1.373 * [taylor]: Taking taylor expansion of 1/2 in lambda2
1.373 * [backup-simplify]: Simplify 1/2 into 1/2
1.373 * [taylor]: Taking taylor expansion of (cos (- lambda2)) in lambda2
1.373 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2
1.373 * [taylor]: Taking taylor expansion of lambda2 in lambda2
1.373 * [backup-simplify]: Simplify 0 into 0
1.373 * [backup-simplify]: Simplify 1 into 1
1.374 * [backup-simplify]: Simplify (- 0) into 0
1.374 * [backup-simplify]: Simplify (- 1) into -1
1.374 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1.374 * [backup-simplify]: Simplify (- 1/2) into -1/2
1.375 * [backup-simplify]: Simplify -1/2 into -1/2
1.375 * [backup-simplify]: Simplify (- 1) into -1
1.376 * [backup-simplify]: Simplify (+ (* 1 (/ (pow -1 1) 1))) into -1
1.376 * [backup-simplify]: Simplify (- -1) into 1
1.376 * [backup-simplify]: Simplify 1 into 1
1.377 * [backup-simplify]: Simplify (+ (* 1 (* lambda2 lambda1)) (+ (* -1/2 (pow (* 1 lambda1) 2)) 1)) into (- (+ 1 (* lambda2 lambda1)) (* 1/2 (pow lambda1 2)))
1.377 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2)))
1.377 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in (lambda1 lambda2) around 0
1.377 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2
1.377 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2
1.377 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2
1.377 * [taylor]: Taking taylor expansion of lambda1 in lambda2
1.377 * [backup-simplify]: Simplify lambda1 into lambda1
1.377 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1)
1.377 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2
1.377 * [taylor]: Taking taylor expansion of lambda2 in lambda2
1.377 * [backup-simplify]: Simplify 0 into 0
1.377 * [backup-simplify]: Simplify 1 into 1
1.377 * [backup-simplify]: Simplify (/ 1 1) into 1
1.378 * [backup-simplify]: Simplify (- 1) into -1
1.378 * [backup-simplify]: Simplify (+ 0 -1) into -1
1.378 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2)))
1.378 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1
1.378 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1
1.378 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1
1.378 * [taylor]: Taking taylor expansion of lambda1 in lambda1
1.378 * [backup-simplify]: Simplify 0 into 0
1.378 * [backup-simplify]: Simplify 1 into 1
1.379 * [backup-simplify]: Simplify (/ 1 1) into 1
1.379 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1
1.379 * [taylor]: Taking taylor expansion of lambda2 in lambda1
1.379 * [backup-simplify]: Simplify lambda2 into lambda2
1.379 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2)
1.379 * [backup-simplify]: Simplify (+ 1 0) into 1
1.379 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2)))
1.379 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1
1.379 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1
1.379 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1
1.379 * [taylor]: Taking taylor expansion of lambda1 in lambda1
1.379 * [backup-simplify]: Simplify 0 into 0
1.379 * [backup-simplify]: Simplify 1 into 1
1.379 * [backup-simplify]: Simplify (/ 1 1) into 1
1.379 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1
1.379 * [taylor]: Taking taylor expansion of lambda2 in lambda1
1.379 * [backup-simplify]: Simplify lambda2 into lambda2
1.380 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2)
1.380 * [backup-simplify]: Simplify (+ 1 0) into 1
1.380 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2)))
1.380 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2
1.380 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2
1.380 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2
1.380 * [taylor]: Taking taylor expansion of lambda1 in lambda2
1.380 * [backup-simplify]: Simplify lambda1 into lambda1
1.380 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1)
1.380 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2
1.380 * [taylor]: Taking taylor expansion of lambda2 in lambda2
1.380 * [backup-simplify]: Simplify 0 into 0
1.380 * [backup-simplify]: Simplify 1 into 1
1.380 * [backup-simplify]: Simplify (/ 1 1) into 1
1.381 * [backup-simplify]: Simplify (- 1) into -1
1.381 * [backup-simplify]: Simplify (+ 0 -1) into -1
1.381 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2)))
1.381 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2)))
1.381 * [taylor]: Taking taylor expansion of 0 in lambda2
1.381 * [backup-simplify]: Simplify 0 into 0
1.381 * [backup-simplify]: Simplify 0 into 0
1.381 * [backup-simplify]: Simplify 0 into 0
1.381 * [taylor]: Taking taylor expansion of 0 in lambda2
1.381 * [backup-simplify]: Simplify 0 into 0
1.381 * [backup-simplify]: Simplify 0 into 0
1.381 * [backup-simplify]: Simplify 0 into 0
1.381 * [backup-simplify]: Simplify 0 into 0
1.381 * [taylor]: Taking taylor expansion of 0 in lambda2
1.381 * [backup-simplify]: Simplify 0 into 0
1.381 * [backup-simplify]: Simplify 0 into 0
1.381 * [backup-simplify]: Simplify (cos (- (/ 1 (/ 1 lambda1)) (/ 1 (/ 1 lambda2)))) into (cos (- lambda1 lambda2))
1.382 * [backup-simplify]: Simplify (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2)))) into (cos (- (/ 1 lambda2) (/ 1 lambda1)))
1.382 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in (lambda1 lambda2) around 0
1.382 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2
1.382 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2
1.382 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2
1.382 * [taylor]: Taking taylor expansion of lambda2 in lambda2
1.382 * [backup-simplify]: Simplify 0 into 0
1.382 * [backup-simplify]: Simplify 1 into 1
1.382 * [backup-simplify]: Simplify (/ 1 1) into 1
1.382 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2
1.382 * [taylor]: Taking taylor expansion of lambda1 in lambda2
1.382 * [backup-simplify]: Simplify lambda1 into lambda1
1.382 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1)
1.382 * [backup-simplify]: Simplify (+ 1 0) into 1
1.382 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1)))
1.382 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1
1.382 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1
1.382 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1
1.382 * [taylor]: Taking taylor expansion of lambda2 in lambda1
1.383 * [backup-simplify]: Simplify lambda2 into lambda2
1.383 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2)
1.383 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1
1.383 * [taylor]: Taking taylor expansion of lambda1 in lambda1
1.383 * [backup-simplify]: Simplify 0 into 0
1.383 * [backup-simplify]: Simplify 1 into 1
1.383 * [backup-simplify]: Simplify (/ 1 1) into 1
1.383 * [backup-simplify]: Simplify (- 1) into -1
1.384 * [backup-simplify]: Simplify (+ 0 -1) into -1
1.384 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1)))
1.384 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1
1.384 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1
1.384 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1
1.384 * [taylor]: Taking taylor expansion of lambda2 in lambda1
1.384 * [backup-simplify]: Simplify lambda2 into lambda2
1.384 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2)
1.384 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1
1.384 * [taylor]: Taking taylor expansion of lambda1 in lambda1
1.385 * [backup-simplify]: Simplify 0 into 0
1.385 * [backup-simplify]: Simplify 1 into 1
1.385 * [backup-simplify]: Simplify (/ 1 1) into 1
1.386 * [backup-simplify]: Simplify (- 1) into -1
1.386 * [backup-simplify]: Simplify (+ 0 -1) into -1
1.386 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1)))
1.386 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2
1.386 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2
1.386 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2
1.386 * [taylor]: Taking taylor expansion of lambda2 in lambda2
1.386 * [backup-simplify]: Simplify 0 into 0
1.386 * [backup-simplify]: Simplify 1 into 1
1.387 * [backup-simplify]: Simplify (/ 1 1) into 1
1.387 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2
1.387 * [taylor]: Taking taylor expansion of lambda1 in lambda2
1.387 * [backup-simplify]: Simplify lambda1 into lambda1
1.387 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1)
1.387 * [backup-simplify]: Simplify (+ 1 0) into 1
1.388 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1)))
1.388 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1)))
1.388 * [taylor]: Taking taylor expansion of 0 in lambda2
1.388 * [backup-simplify]: Simplify 0 into 0
1.388 * [backup-simplify]: Simplify 0 into 0
1.388 * [backup-simplify]: Simplify 0 into 0
1.388 * [taylor]: Taking taylor expansion of 0 in lambda2
1.388 * [backup-simplify]: Simplify 0 into 0
1.388 * [backup-simplify]: Simplify 0 into 0
1.388 * [backup-simplify]: Simplify 0 into 0
1.388 * [backup-simplify]: Simplify 0 into 0
1.388 * [taylor]: Taking taylor expansion of 0 in lambda2
1.388 * [backup-simplify]: Simplify 0 into 0
1.388 * [backup-simplify]: Simplify 0 into 0
1.388 * [backup-simplify]: Simplify (cos (- (/ 1 (/ 1 (- lambda2))) (/ 1 (/ 1 (- lambda1))))) into (cos (- lambda1 lambda2))
1.389 * * * * [progress]: [ 2 / 4 ] generating series at (2 1)
1.389 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2))))
1.389 * [approximate]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in (phi1 phi2 lambda1 lambda2) around 0
1.389 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda2
1.391 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2))))
1.391 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda1
1.392 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2))))
1.392 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi2
1.392 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2))))
1.392 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi1
1.392 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2))))
1.392 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi1
1.392 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2))))
1.393 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi2
1.393 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2))))
1.393 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda1
1.393 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2))))
1.393 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda2
1.394 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2))))
1.394 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2))))
1.394 * [taylor]: Taking taylor expansion of 0 in phi2
1.394 * [backup-simplify]: Simplify 0 into 0
1.394 * [taylor]: Taking taylor expansion of 0 in lambda1
1.394 * [backup-simplify]: Simplify 0 into 0
1.394 * [taylor]: Taking taylor expansion of 0 in lambda2
1.394 * [backup-simplify]: Simplify 0 into 0
1.394 * [backup-simplify]: Simplify 0 into 0
1.394 * [taylor]: Taking taylor expansion of 0 in lambda1
1.394 * [backup-simplify]: Simplify 0 into 0
1.394 * [taylor]: Taking taylor expansion of 0 in lambda2
1.394 * [backup-simplify]: Simplify 0 into 0
1.394 * [backup-simplify]: Simplify 0 into 0
1.394 * [taylor]: Taking taylor expansion of 0 in lambda2
1.394 * [backup-simplify]: Simplify 0 into 0
1.394 * [backup-simplify]: Simplify 0 into 0
1.395 * [backup-simplify]: Simplify 0 into 0
1.395 * [taylor]: Taking taylor expansion of 0 in phi2
1.395 * [backup-simplify]: Simplify 0 into 0
1.395 * [taylor]: Taking taylor expansion of 0 in lambda1
1.395 * [backup-simplify]: Simplify 0 into 0
1.395 * [taylor]: Taking taylor expansion of 0 in lambda2
1.395 * [backup-simplify]: Simplify 0 into 0
1.395 * [backup-simplify]: Simplify 0 into 0
1.395 * [taylor]: Taking taylor expansion of 0 in lambda1
1.395 * [backup-simplify]: Simplify 0 into 0
1.395 * [taylor]: Taking taylor expansion of 0 in lambda2
1.395 * [backup-simplify]: Simplify 0 into 0
1.395 * [backup-simplify]: Simplify 0 into 0
1.395 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2))))
1.396 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (cos (- (/ 1 lambda1) (/ 1 lambda2)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))))))
1.396 * [approximate]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in (phi1 phi2 lambda1 lambda2) around 0
1.396 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in lambda2
1.396 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))))))
1.396 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in lambda1
1.397 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))))))
1.397 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in phi2
1.397 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))))))
1.397 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in phi1
1.397 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))))))
1.397 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in phi1
1.398 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))))))
1.398 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in phi2
1.398 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))))))
1.398 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in lambda1
1.399 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))))))
1.399 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in lambda2
1.399 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))))))
1.400 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))))))
1.400 * [taylor]: Taking taylor expansion of 0 in phi2
1.400 * [backup-simplify]: Simplify 0 into 0
1.400 * [taylor]: Taking taylor expansion of 0 in lambda1
1.400 * [backup-simplify]: Simplify 0 into 0
1.400 * [taylor]: Taking taylor expansion of 0 in lambda2
1.400 * [backup-simplify]: Simplify 0 into 0
1.400 * [backup-simplify]: Simplify 0 into 0
1.400 * [taylor]: Taking taylor expansion of 0 in lambda1
1.400 * [backup-simplify]: Simplify 0 into 0
1.400 * [taylor]: Taking taylor expansion of 0 in lambda2
1.400 * [backup-simplify]: Simplify 0 into 0
1.400 * [backup-simplify]: Simplify 0 into 0
1.400 * [taylor]: Taking taylor expansion of 0 in lambda2
1.400 * [backup-simplify]: Simplify 0 into 0
1.400 * [backup-simplify]: Simplify 0 into 0
1.400 * [backup-simplify]: Simplify 0 into 0
1.400 * [taylor]: Taking taylor expansion of 0 in phi2
1.400 * [backup-simplify]: Simplify 0 into 0
1.400 * [taylor]: Taking taylor expansion of 0 in lambda1
1.400 * [backup-simplify]: Simplify 0 into 0
1.400 * [taylor]: Taking taylor expansion of 0 in lambda2
1.400 * [backup-simplify]: Simplify 0 into 0
1.400 * [backup-simplify]: Simplify 0 into 0
1.400 * [taylor]: Taking taylor expansion of 0 in lambda1
1.401 * [backup-simplify]: Simplify 0 into 0
1.401 * [taylor]: Taking taylor expansion of 0 in lambda2
1.401 * [backup-simplify]: Simplify 0 into 0
1.401 * [backup-simplify]: Simplify 0 into 0
1.401 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (- (/ 1 (/ 1 lambda1)) (/ 1 (/ 1 lambda2)))) (cos (/ 1 (/ 1 phi1))))))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2))))
1.402 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))))
1.402 * [approximate]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in (phi1 phi2 lambda1 lambda2) around 0
1.402 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in lambda2
1.402 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))))
1.402 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in lambda1
1.403 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))))
1.403 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in phi2
1.403 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))))
1.403 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in phi1
1.403 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))))
1.404 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in phi1
1.404 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))))
1.404 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in phi2
1.404 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))))
1.405 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in lambda1
1.405 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))))
1.405 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in lambda2
1.405 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))))
1.406 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))))
1.406 * [taylor]: Taking taylor expansion of 0 in phi2
1.406 * [backup-simplify]: Simplify 0 into 0
1.406 * [taylor]: Taking taylor expansion of 0 in lambda1
1.406 * [backup-simplify]: Simplify 0 into 0
1.406 * [taylor]: Taking taylor expansion of 0 in lambda2
1.406 * [backup-simplify]: Simplify 0 into 0
1.406 * [backup-simplify]: Simplify 0 into 0
1.406 * [taylor]: Taking taylor expansion of 0 in lambda1
1.406 * [backup-simplify]: Simplify 0 into 0
1.406 * [taylor]: Taking taylor expansion of 0 in lambda2
1.406 * [backup-simplify]: Simplify 0 into 0
1.406 * [backup-simplify]: Simplify 0 into 0
1.406 * [taylor]: Taking taylor expansion of 0 in lambda2
1.406 * [backup-simplify]: Simplify 0 into 0
1.406 * [backup-simplify]: Simplify 0 into 0
1.406 * [backup-simplify]: Simplify 0 into 0
1.406 * [taylor]: Taking taylor expansion of 0 in phi2
1.406 * [backup-simplify]: Simplify 0 into 0
1.406 * [taylor]: Taking taylor expansion of 0 in lambda1
1.406 * [backup-simplify]: Simplify 0 into 0
1.406 * [taylor]: Taking taylor expansion of 0 in lambda2
1.406 * [backup-simplify]: Simplify 0 into 0
1.406 * [backup-simplify]: Simplify 0 into 0
1.407 * [taylor]: Taking taylor expansion of 0 in lambda1
1.407 * [backup-simplify]: Simplify 0 into 0
1.407 * [taylor]: Taking taylor expansion of 0 in lambda2
1.407 * [backup-simplify]: Simplify 0 into 0
1.407 * [backup-simplify]: Simplify 0 into 0
1.407 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (cos (- (/ 1 (/ 1 (- lambda2))) (/ 1 (/ 1 (- lambda1))))))))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2))))
1.407 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1)
1.407 * [backup-simplify]: Simplify (* (sin phi1) (sin phi2)) into (* (sin phi1) (sin phi2))
1.407 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0
1.407 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2
1.407 * [taylor]: Taking taylor expansion of (sin phi1) in phi2
1.407 * [taylor]: Taking taylor expansion of phi1 in phi2
1.407 * [backup-simplify]: Simplify phi1 into phi1
1.407 * [backup-simplify]: Simplify (sin phi1) into (sin phi1)
1.407 * [backup-simplify]: Simplify (cos phi1) into (cos phi1)
1.407 * [taylor]: Taking taylor expansion of (sin phi2) in phi2
1.407 * [taylor]: Taking taylor expansion of phi2 in phi2
1.407 * [backup-simplify]: Simplify 0 into 0
1.407 * [backup-simplify]: Simplify 1 into 1
1.407 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1
1.407 * [taylor]: Taking taylor expansion of (sin phi1) in phi1
1.407 * [taylor]: Taking taylor expansion of phi1 in phi1
1.407 * [backup-simplify]: Simplify 0 into 0
1.407 * [backup-simplify]: Simplify 1 into 1
1.407 * [taylor]: Taking taylor expansion of (sin phi2) in phi1
1.407 * [taylor]: Taking taylor expansion of phi2 in phi1
1.407 * [backup-simplify]: Simplify phi2 into phi2
1.407 * [backup-simplify]: Simplify (sin phi2) into (sin phi2)
1.407 * [backup-simplify]: Simplify (cos phi2) into (cos phi2)
1.407 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1
1.407 * [taylor]: Taking taylor expansion of (sin phi1) in phi1
1.407 * [taylor]: Taking taylor expansion of phi1 in phi1
1.407 * [backup-simplify]: Simplify 0 into 0
1.407 * [backup-simplify]: Simplify 1 into 1
1.408 * [taylor]: Taking taylor expansion of (sin phi2) in phi1
1.408 * [taylor]: Taking taylor expansion of phi2 in phi1
1.408 * [backup-simplify]: Simplify phi2 into phi2
1.408 * [backup-simplify]: Simplify (sin phi2) into (sin phi2)
1.408 * [backup-simplify]: Simplify (cos phi2) into (cos phi2)
1.408 * [backup-simplify]: Simplify (* (sin phi2) 1) into (sin phi2)
1.408 * [backup-simplify]: Simplify (* (cos phi2) 0) into 0
1.408 * [backup-simplify]: Simplify (+ (sin phi2) 0) into (sin phi2)
1.408 * [backup-simplify]: Simplify (* 0 (sin phi2)) into 0
1.408 * [taylor]: Taking taylor expansion of 0 in phi2
1.408 * [backup-simplify]: Simplify 0 into 0
1.408 * [backup-simplify]: Simplify 0 into 0
1.408 * [backup-simplify]: Simplify (+ 0) into 0
1.409 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (* 0 1)) into 0
1.409 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.409 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (* 0 0)) into 0
1.410 * [backup-simplify]: Simplify (+ 0 0) into 0
1.410 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
1.410 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin phi2))) into (sin phi2)
1.410 * [taylor]: Taking taylor expansion of (sin phi2) in phi2
1.410 * [taylor]: Taking taylor expansion of phi2 in phi2
1.410 * [backup-simplify]: Simplify 0 into 0
1.410 * [backup-simplify]: Simplify 1 into 1
1.411 * [backup-simplify]: Simplify 0 into 0
1.411 * [backup-simplify]: Simplify 0 into 0
1.411 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
1.412 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (* 0 1))) into 0
1.412 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
1.412 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (* 0 0))) into 0
1.413 * [backup-simplify]: Simplify (+ 0 0) into 0
1.413 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
1.414 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin phi2)))) into 0
1.414 * [taylor]: Taking taylor expansion of 0 in phi2
1.414 * [backup-simplify]: Simplify 0 into 0
1.414 * [backup-simplify]: Simplify 0 into 0
1.414 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
1.414 * [backup-simplify]: Simplify 1 into 1
1.414 * [backup-simplify]: Simplify 0 into 0
1.415 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
1.415 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.416 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
1.417 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
1.417 * [backup-simplify]: Simplify (+ 0 0) into 0
1.418 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
1.419 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* -1/6 (sin phi2))))) into (- (* 1/6 (sin phi2)))
1.419 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2
1.419 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2
1.419 * [taylor]: Taking taylor expansion of 1/6 in phi2
1.419 * [backup-simplify]: Simplify 1/6 into 1/6
1.419 * [taylor]: Taking taylor expansion of (sin phi2) in phi2
1.419 * [taylor]: Taking taylor expansion of phi2 in phi2
1.419 * [backup-simplify]: Simplify 0 into 0
1.419 * [backup-simplify]: Simplify 1 into 1
1.419 * [backup-simplify]: Simplify (* 1/6 0) into 0
1.420 * [backup-simplify]: Simplify (- 0) into 0
1.420 * [backup-simplify]: Simplify 0 into 0
1.420 * [backup-simplify]: Simplify 0 into 0
1.420 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
1.420 * [backup-simplify]: Simplify 0 into 0
1.420 * [backup-simplify]: Simplify 0 into 0
1.422 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0
1.422 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
1.423 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
1.424 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0
1.424 * [backup-simplify]: Simplify (+ 0 0) into 0
1.425 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
1.426 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* -1/6 0) (* 0 (sin phi2)))))) into 0
1.426 * [taylor]: Taking taylor expansion of 0 in phi2
1.426 * [backup-simplify]: Simplify 0 into 0
1.426 * [backup-simplify]: Simplify 0 into 0
1.426 * [backup-simplify]: Simplify (* 1 (* phi2 phi1)) into (* phi1 phi2)
1.426 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))
1.426 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in (phi1 phi2) around 0
1.426 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi2
1.426 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2
1.426 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2
1.426 * [taylor]: Taking taylor expansion of phi2 in phi2
1.426 * [backup-simplify]: Simplify 0 into 0
1.426 * [backup-simplify]: Simplify 1 into 1
1.426 * [backup-simplify]: Simplify (/ 1 1) into 1
1.426 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2))
1.427 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2
1.427 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2
1.427 * [taylor]: Taking taylor expansion of phi1 in phi2
1.427 * [backup-simplify]: Simplify phi1 into phi1
1.427 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
1.427 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1))
1.427 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1))
1.427 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi1
1.427 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1
1.427 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1
1.427 * [taylor]: Taking taylor expansion of phi2 in phi1
1.427 * [backup-simplify]: Simplify phi2 into phi2
1.427 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
1.427 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2))
1.427 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2))
1.427 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1
1.427 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1
1.427 * [taylor]: Taking taylor expansion of phi1 in phi1
1.427 * [backup-simplify]: Simplify 0 into 0
1.427 * [backup-simplify]: Simplify 1 into 1
1.427 * [backup-simplify]: Simplify (/ 1 1) into 1
1.427 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1))
1.427 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi1
1.427 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1
1.427 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1
1.427 * [taylor]: Taking taylor expansion of phi2 in phi1
1.428 * [backup-simplify]: Simplify phi2 into phi2
1.428 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
1.428 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2))
1.428 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2))
1.428 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1
1.428 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1
1.428 * [taylor]: Taking taylor expansion of phi1 in phi1
1.428 * [backup-simplify]: Simplify 0 into 0
1.428 * [backup-simplify]: Simplify 1 into 1
1.428 * [backup-simplify]: Simplify (/ 1 1) into 1
1.428 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1))
1.428 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) 1) into (sin (/ 1 phi2))
1.428 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) 0) into 0
1.428 * [backup-simplify]: Simplify (+ (sin (/ 1 phi2)) 0) into (sin (/ 1 phi2))
1.428 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))
1.428 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi2
1.428 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2
1.428 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2
1.428 * [taylor]: Taking taylor expansion of phi2 in phi2
1.428 * [backup-simplify]: Simplify 0 into 0
1.428 * [backup-simplify]: Simplify 1 into 1
1.429 * [backup-simplify]: Simplify (/ 1 1) into 1
1.429 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2))
1.429 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2
1.429 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2
1.429 * [taylor]: Taking taylor expansion of phi1 in phi2
1.429 * [backup-simplify]: Simplify phi1 into phi1
1.429 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
1.429 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1))
1.429 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1))
1.429 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) 1) into (sin (/ 1 phi1))
1.429 * [backup-simplify]: Simplify (* (cos (/ 1 phi1)) 0) into 0
1.429 * [backup-simplify]: Simplify (+ (sin (/ 1 phi1)) 0) into (sin (/ 1 phi1))
1.429 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))
1.429 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))
1.430 * [backup-simplify]: Simplify (+ 0) into 0
1.430 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 1)) into 0
1.430 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
1.431 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.431 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 0)) into 0
1.431 * [backup-simplify]: Simplify (+ 0 0) into 0
1.431 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 (sin (/ 1 phi1)))) into 0
1.432 * [taylor]: Taking taylor expansion of 0 in phi2
1.432 * [backup-simplify]: Simplify 0 into 0
1.432 * [backup-simplify]: Simplify 0 into 0
1.432 * [backup-simplify]: Simplify (+ 0) into 0
1.432 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 1)) into 0
1.432 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
1.433 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.433 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (* 0 0)) into 0
1.433 * [backup-simplify]: Simplify (+ 0 0) into 0
1.433 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 (sin (/ 1 phi1)))) into 0
1.433 * [backup-simplify]: Simplify 0 into 0
1.434 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
1.434 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0
1.435 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
1.435 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
1.435 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0
1.436 * [backup-simplify]: Simplify (+ 0 0) into 0
1.436 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1))))) into 0
1.436 * [taylor]: Taking taylor expansion of 0 in phi2
1.436 * [backup-simplify]: Simplify 0 into 0
1.436 * [backup-simplify]: Simplify 0 into 0
1.436 * [backup-simplify]: Simplify 0 into 0
1.437 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
1.437 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0
1.437 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0
1.438 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
1.438 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0
1.438 * [backup-simplify]: Simplify (+ 0 0) into 0
1.439 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1))))) into 0
1.439 * [backup-simplify]: Simplify 0 into 0
1.440 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
1.441 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.441 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
1.443 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
1.443 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
1.444 * [backup-simplify]: Simplify (+ 0 0) into 0
1.445 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1)))))) into 0
1.445 * [taylor]: Taking taylor expansion of 0 in phi2
1.445 * [backup-simplify]: Simplify 0 into 0
1.445 * [backup-simplify]: Simplify 0 into 0
1.445 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) into (* (sin phi1) (sin phi2))
1.445 * [backup-simplify]: Simplify (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))
1.445 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0
1.445 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2
1.445 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2
1.445 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2
1.445 * [taylor]: Taking taylor expansion of -1 in phi2
1.445 * [backup-simplify]: Simplify -1 into -1
1.445 * [taylor]: Taking taylor expansion of phi1 in phi2
1.445 * [backup-simplify]: Simplify phi1 into phi1
1.446 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1)
1.446 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1))
1.446 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1))
1.446 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2
1.446 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2
1.446 * [taylor]: Taking taylor expansion of -1 in phi2
1.446 * [backup-simplify]: Simplify -1 into -1
1.446 * [taylor]: Taking taylor expansion of phi2 in phi2
1.446 * [backup-simplify]: Simplify 0 into 0
1.446 * [backup-simplify]: Simplify 1 into 1
1.446 * [backup-simplify]: Simplify (/ -1 1) into -1
1.446 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2))
1.447 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1
1.447 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1
1.447 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1
1.447 * [taylor]: Taking taylor expansion of -1 in phi1
1.447 * [backup-simplify]: Simplify -1 into -1
1.447 * [taylor]: Taking taylor expansion of phi1 in phi1
1.447 * [backup-simplify]: Simplify 0 into 0
1.447 * [backup-simplify]: Simplify 1 into 1
1.447 * [backup-simplify]: Simplify (/ -1 1) into -1
1.447 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1))
1.447 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1
1.447 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1
1.447 * [taylor]: Taking taylor expansion of -1 in phi1
1.447 * [backup-simplify]: Simplify -1 into -1
1.447 * [taylor]: Taking taylor expansion of phi2 in phi1
1.447 * [backup-simplify]: Simplify phi2 into phi2
1.447 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2)
1.447 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2))
1.447 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2))
1.447 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1
1.447 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1
1.447 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1
1.447 * [taylor]: Taking taylor expansion of -1 in phi1
1.447 * [backup-simplify]: Simplify -1 into -1
1.447 * [taylor]: Taking taylor expansion of phi1 in phi1
1.447 * [backup-simplify]: Simplify 0 into 0
1.447 * [backup-simplify]: Simplify 1 into 1
1.448 * [backup-simplify]: Simplify (/ -1 1) into -1
1.448 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1))
1.448 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1
1.448 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1
1.448 * [taylor]: Taking taylor expansion of -1 in phi1
1.448 * [backup-simplify]: Simplify -1 into -1
1.448 * [taylor]: Taking taylor expansion of phi2 in phi1
1.448 * [backup-simplify]: Simplify phi2 into phi2
1.448 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2)
1.448 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2))
1.448 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2))
1.448 * [backup-simplify]: Simplify (* (sin (/ -1 phi2)) 1) into (sin (/ -1 phi2))
1.448 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) 0) into 0
1.448 * [backup-simplify]: Simplify (+ (sin (/ -1 phi2)) 0) into (sin (/ -1 phi2))
1.448 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))
1.448 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2
1.448 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2
1.448 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2
1.448 * [taylor]: Taking taylor expansion of -1 in phi2
1.448 * [backup-simplify]: Simplify -1 into -1
1.448 * [taylor]: Taking taylor expansion of phi1 in phi2
1.448 * [backup-simplify]: Simplify phi1 into phi1
1.448 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1)
1.448 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1))
1.448 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1))
1.448 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2
1.448 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2
1.448 * [taylor]: Taking taylor expansion of -1 in phi2
1.448 * [backup-simplify]: Simplify -1 into -1
1.448 * [taylor]: Taking taylor expansion of phi2 in phi2
1.448 * [backup-simplify]: Simplify 0 into 0
1.448 * [backup-simplify]: Simplify 1 into 1
1.449 * [backup-simplify]: Simplify (/ -1 1) into -1
1.449 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2))
1.449 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) 1) into (sin (/ -1 phi1))
1.449 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) 0) into 0
1.449 * [backup-simplify]: Simplify (+ (sin (/ -1 phi1)) 0) into (sin (/ -1 phi1))
1.449 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))
1.449 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))
1.449 * [backup-simplify]: Simplify (+ 0) into 0
1.450 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (* 0 1)) into 0
1.450 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)))) into 0
1.450 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.451 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 0)) into 0
1.451 * [backup-simplify]: Simplify (+ 0 0) into 0
1.451 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) into 0
1.451 * [taylor]: Taking taylor expansion of 0 in phi2
1.451 * [backup-simplify]: Simplify 0 into 0
1.451 * [backup-simplify]: Simplify 0 into 0
1.451 * [backup-simplify]: Simplify (+ 0) into 0
1.452 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 1)) into 0
1.452 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)))) into 0
1.452 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.453 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 0)) into 0
1.453 * [backup-simplify]: Simplify (+ 0 0) into 0
1.453 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) into 0
1.453 * [backup-simplify]: Simplify 0 into 0
1.453 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
1.454 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0
1.454 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
1.455 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
1.455 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0
1.455 * [backup-simplify]: Simplify (+ 0 0) into 0
1.455 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0
1.455 * [taylor]: Taking taylor expansion of 0 in phi2
1.456 * [backup-simplify]: Simplify 0 into 0
1.456 * [backup-simplify]: Simplify 0 into 0
1.456 * [backup-simplify]: Simplify 0 into 0
1.456 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
1.457 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0
1.457 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0
1.457 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
1.457 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0
1.458 * [backup-simplify]: Simplify (+ 0 0) into 0
1.458 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0
1.458 * [backup-simplify]: Simplify 0 into 0
1.459 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
1.459 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.459 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
1.460 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
1.461 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
1.461 * [backup-simplify]: Simplify (+ 0 0) into 0
1.469 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2)))))) into 0
1.469 * [taylor]: Taking taylor expansion of 0 in phi2
1.469 * [backup-simplify]: Simplify 0 into 0
1.469 * [backup-simplify]: Simplify 0 into 0
1.469 * [backup-simplify]: Simplify (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) into (* (sin phi1) (sin phi2))
1.469 * * * * [progress]: [ 4 / 4 ] generating series at (2)
1.469 * [backup-simplify]: Simplify (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) into (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R)
1.469 * [approximate]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in (phi1 phi2 lambda1 lambda2 R) around 0
1.469 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in R
1.469 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in R
1.469 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2))))
1.470 * [taylor]: Taking taylor expansion of R in R
1.470 * [backup-simplify]: Simplify 0 into 0
1.470 * [backup-simplify]: Simplify 1 into 1
1.470 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in lambda2
1.470 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda2
1.470 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2))))
1.470 * [taylor]: Taking taylor expansion of R in lambda2
1.470 * [backup-simplify]: Simplify R into R
1.470 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in lambda1
1.470 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda1
1.470 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2))))
1.470 * [taylor]: Taking taylor expansion of R in lambda1
1.470 * [backup-simplify]: Simplify R into R
1.470 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in phi2
1.470 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi2
1.470 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2))))
1.470 * [taylor]: Taking taylor expansion of R in phi2
1.470 * [backup-simplify]: Simplify R into R
1.470 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in phi1
1.470 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi1
1.470 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2))))
1.470 * [taylor]: Taking taylor expansion of R in phi1
1.470 * [backup-simplify]: Simplify R into R
1.470 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in phi1
1.470 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi1
1.471 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2))))
1.471 * [taylor]: Taking taylor expansion of R in phi1
1.471 * [backup-simplify]: Simplify R into R
1.471 * [backup-simplify]: Simplify (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) into (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R)
1.471 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in phi2
1.471 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi2
1.471 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2))))
1.471 * [taylor]: Taking taylor expansion of R in phi2
1.471 * [backup-simplify]: Simplify R into R
1.471 * [backup-simplify]: Simplify (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) into (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R)
1.471 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in lambda1
1.471 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda1
1.471 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2))))
1.471 * [taylor]: Taking taylor expansion of R in lambda1
1.471 * [backup-simplify]: Simplify R into R
1.472 * [backup-simplify]: Simplify (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) into (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R)
1.472 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in lambda2
1.472 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda2
1.472 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2))))
1.472 * [taylor]: Taking taylor expansion of R in lambda2
1.472 * [backup-simplify]: Simplify R into R
1.472 * [backup-simplify]: Simplify (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) into (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R)
1.472 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in R
1.472 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in R
1.472 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2))))
1.472 * [taylor]: Taking taylor expansion of R in R
1.472 * [backup-simplify]: Simplify 0 into 0
1.472 * [backup-simplify]: Simplify 1 into 1
1.472 * [backup-simplify]: Simplify (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) into 0
1.472 * [backup-simplify]: Simplify 0 into 0
1.473 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) (* 0 R)) into 0
1.473 * [taylor]: Taking taylor expansion of 0 in phi2
1.473 * [backup-simplify]: Simplify 0 into 0
1.473 * [taylor]: Taking taylor expansion of 0 in lambda1
1.473 * [backup-simplify]: Simplify 0 into 0
1.473 * [taylor]: Taking taylor expansion of 0 in lambda2
1.473 * [backup-simplify]: Simplify 0 into 0
1.473 * [taylor]: Taking taylor expansion of 0 in R
1.473 * [backup-simplify]: Simplify 0 into 0
1.473 * [backup-simplify]: Simplify 0 into 0
1.473 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) (* 0 R)) into 0
1.473 * [taylor]: Taking taylor expansion of 0 in lambda1
1.473 * [backup-simplify]: Simplify 0 into 0
1.473 * [taylor]: Taking taylor expansion of 0 in lambda2
1.473 * [backup-simplify]: Simplify 0 into 0
1.473 * [taylor]: Taking taylor expansion of 0 in R
1.473 * [backup-simplify]: Simplify 0 into 0
1.473 * [backup-simplify]: Simplify 0 into 0
1.473 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) (* 0 R)) into 0
1.473 * [taylor]: Taking taylor expansion of 0 in lambda2
1.473 * [backup-simplify]: Simplify 0 into 0
1.473 * [taylor]: Taking taylor expansion of 0 in R
1.473 * [backup-simplify]: Simplify 0 into 0
1.473 * [backup-simplify]: Simplify 0 into 0
1.473 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) (* 0 R)) into 0
1.474 * [taylor]: Taking taylor expansion of 0 in R
1.474 * [backup-simplify]: Simplify 0 into 0
1.474 * [backup-simplify]: Simplify 0 into 0
1.474 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 1) (* 0 0)) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2))))
1.474 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2))))
1.475 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) (+ (* 0 0) (* 0 R))) into 0
1.475 * [taylor]: Taking taylor expansion of 0 in phi2
1.476 * [backup-simplify]: Simplify 0 into 0
1.476 * [taylor]: Taking taylor expansion of 0 in lambda1
1.476 * [backup-simplify]: Simplify 0 into 0
1.476 * [taylor]: Taking taylor expansion of 0 in lambda2
1.476 * [backup-simplify]: Simplify 0 into 0
1.476 * [taylor]: Taking taylor expansion of 0 in R
1.476 * [backup-simplify]: Simplify 0 into 0
1.476 * [backup-simplify]: Simplify 0 into 0
1.476 * [taylor]: Taking taylor expansion of 0 in lambda1
1.476 * [backup-simplify]: Simplify 0 into 0
1.476 * [taylor]: Taking taylor expansion of 0 in lambda2
1.476 * [backup-simplify]: Simplify 0 into 0
1.476 * [taylor]: Taking taylor expansion of 0 in R
1.476 * [backup-simplify]: Simplify 0 into 0
1.476 * [backup-simplify]: Simplify 0 into 0
1.477 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) (+ (* 0 0) (* 0 R))) into 0
1.477 * [taylor]: Taking taylor expansion of 0 in lambda1
1.477 * [backup-simplify]: Simplify 0 into 0
1.477 * [taylor]: Taking taylor expansion of 0 in lambda2
1.477 * [backup-simplify]: Simplify 0 into 0
1.477 * [taylor]: Taking taylor expansion of 0 in R
1.477 * [backup-simplify]: Simplify 0 into 0
1.477 * [backup-simplify]: Simplify 0 into 0
1.477 * [taylor]: Taking taylor expansion of 0 in lambda2
1.477 * [backup-simplify]: Simplify 0 into 0
1.477 * [taylor]: Taking taylor expansion of 0 in R
1.477 * [backup-simplify]: Simplify 0 into 0
1.477 * [backup-simplify]: Simplify 0 into 0
1.477 * [taylor]: Taking taylor expansion of 0 in lambda2
1.477 * [backup-simplify]: Simplify 0 into 0
1.477 * [taylor]: Taking taylor expansion of 0 in R
1.477 * [backup-simplify]: Simplify 0 into 0
1.477 * [backup-simplify]: Simplify 0 into 0
1.478 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) (+ (* 0 0) (* 0 R))) into 0
1.478 * [taylor]: Taking taylor expansion of 0 in lambda2
1.478 * [backup-simplify]: Simplify 0 into 0
1.478 * [taylor]: Taking taylor expansion of 0 in R
1.478 * [backup-simplify]: Simplify 0 into 0
1.478 * [backup-simplify]: Simplify 0 into 0
1.479 * [backup-simplify]: Simplify (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) (* R (* 1 (* 1 (* 1 1))))) into (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R)
1.480 * [backup-simplify]: Simplify (* (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (cos (- (/ 1 lambda1) (/ 1 lambda2)))))) (/ 1 R)) into (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R)
1.480 * [approximate]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0
1.480 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) in R
1.480 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in R
1.480 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))))))
1.480 * [taylor]: Taking taylor expansion of R in R
1.480 * [backup-simplify]: Simplify 0 into 0
1.480 * [backup-simplify]: Simplify 1 into 1
1.481 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) 1) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))))))
1.481 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) in lambda2
1.481 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in lambda2
1.481 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))))))
1.481 * [taylor]: Taking taylor expansion of R in lambda2
1.481 * [backup-simplify]: Simplify R into R
1.482 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) into (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R)
1.482 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) in lambda1
1.482 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in lambda1
1.482 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))))))
1.482 * [taylor]: Taking taylor expansion of R in lambda1
1.482 * [backup-simplify]: Simplify R into R
1.483 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) into (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R)
1.483 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) in phi2
1.483 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in phi2
1.483 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))))))
1.483 * [taylor]: Taking taylor expansion of R in phi2
1.483 * [backup-simplify]: Simplify R into R
1.484 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) into (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R)
1.484 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) in phi1
1.484 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in phi1
1.484 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))))))
1.484 * [taylor]: Taking taylor expansion of R in phi1
1.485 * [backup-simplify]: Simplify R into R
1.485 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) into (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R)
1.485 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) in phi1
1.485 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in phi1
1.486 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))))))
1.486 * [taylor]: Taking taylor expansion of R in phi1
1.486 * [backup-simplify]: Simplify R into R
1.486 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) into (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R)
1.486 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) in phi2
1.486 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in phi2
1.487 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))))))
1.487 * [taylor]: Taking taylor expansion of R in phi2
1.487 * [backup-simplify]: Simplify R into R
1.487 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) into (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R)
1.487 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) in lambda1
1.487 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in lambda1
1.488 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))))))
1.488 * [taylor]: Taking taylor expansion of R in lambda1
1.488 * [backup-simplify]: Simplify R into R
1.488 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) into (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R)
1.488 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) in lambda2
1.488 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in lambda2
1.489 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))))))
1.489 * [taylor]: Taking taylor expansion of R in lambda2
1.489 * [backup-simplify]: Simplify R into R
1.489 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) into (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R)
1.489 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) in R
1.489 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in R
1.490 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))))))
1.490 * [taylor]: Taking taylor expansion of R in R
1.490 * [backup-simplify]: Simplify 0 into 0
1.490 * [backup-simplify]: Simplify 1 into 1
1.490 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) 1) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))))))
1.491 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))))))
1.492 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) (/ 0 R)))) into 0
1.492 * [taylor]: Taking taylor expansion of 0 in phi2
1.492 * [backup-simplify]: Simplify 0 into 0
1.492 * [taylor]: Taking taylor expansion of 0 in lambda1
1.492 * [backup-simplify]: Simplify 0 into 0
1.492 * [taylor]: Taking taylor expansion of 0 in lambda2
1.492 * [backup-simplify]: Simplify 0 into 0
1.492 * [taylor]: Taking taylor expansion of 0 in R
1.492 * [backup-simplify]: Simplify 0 into 0
1.492 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) (/ 0 R)))) into 0
1.492 * [taylor]: Taking taylor expansion of 0 in lambda1
1.492 * [backup-simplify]: Simplify 0 into 0
1.492 * [taylor]: Taking taylor expansion of 0 in lambda2
1.493 * [backup-simplify]: Simplify 0 into 0
1.493 * [taylor]: Taking taylor expansion of 0 in R
1.493 * [backup-simplify]: Simplify 0 into 0
1.493 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) (/ 0 R)))) into 0
1.493 * [taylor]: Taking taylor expansion of 0 in lambda2
1.493 * [backup-simplify]: Simplify 0 into 0
1.493 * [taylor]: Taking taylor expansion of 0 in R
1.493 * [backup-simplify]: Simplify 0 into 0
1.494 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) (/ 0 R)))) into 0
1.494 * [taylor]: Taking taylor expansion of 0 in R
1.494 * [backup-simplify]: Simplify 0 into 0
1.496 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) (/ 0 1)))) into 0
1.496 * [backup-simplify]: Simplify 0 into 0
1.497 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
1.497 * [taylor]: Taking taylor expansion of 0 in phi2
1.497 * [backup-simplify]: Simplify 0 into 0
1.497 * [taylor]: Taking taylor expansion of 0 in lambda1
1.497 * [backup-simplify]: Simplify 0 into 0
1.497 * [taylor]: Taking taylor expansion of 0 in lambda2
1.497 * [backup-simplify]: Simplify 0 into 0
1.497 * [taylor]: Taking taylor expansion of 0 in R
1.497 * [backup-simplify]: Simplify 0 into 0
1.497 * [taylor]: Taking taylor expansion of 0 in lambda1
1.497 * [backup-simplify]: Simplify 0 into 0
1.497 * [taylor]: Taking taylor expansion of 0 in lambda2
1.497 * [backup-simplify]: Simplify 0 into 0
1.497 * [taylor]: Taking taylor expansion of 0 in R
1.497 * [backup-simplify]: Simplify 0 into 0
1.498 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
1.498 * [taylor]: Taking taylor expansion of 0 in lambda1
1.498 * [backup-simplify]: Simplify 0 into 0
1.498 * [taylor]: Taking taylor expansion of 0 in lambda2
1.498 * [backup-simplify]: Simplify 0 into 0
1.498 * [taylor]: Taking taylor expansion of 0 in R
1.498 * [backup-simplify]: Simplify 0 into 0
1.498 * [taylor]: Taking taylor expansion of 0 in lambda2
1.498 * [backup-simplify]: Simplify 0 into 0
1.498 * [taylor]: Taking taylor expansion of 0 in R
1.498 * [backup-simplify]: Simplify 0 into 0
1.498 * [taylor]: Taking taylor expansion of 0 in lambda2
1.498 * [backup-simplify]: Simplify 0 into 0
1.498 * [taylor]: Taking taylor expansion of 0 in R
1.498 * [backup-simplify]: Simplify 0 into 0
1.499 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
1.499 * [taylor]: Taking taylor expansion of 0 in lambda2
1.499 * [backup-simplify]: Simplify 0 into 0
1.499 * [taylor]: Taking taylor expansion of 0 in R
1.499 * [backup-simplify]: Simplify 0 into 0
1.499 * [taylor]: Taking taylor expansion of 0 in R
1.499 * [backup-simplify]: Simplify 0 into 0
1.499 * [taylor]: Taking taylor expansion of 0 in R
1.499 * [backup-simplify]: Simplify 0 into 0
1.499 * [taylor]: Taking taylor expansion of 0 in R
1.499 * [backup-simplify]: Simplify 0 into 0
1.500 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
1.500 * [taylor]: Taking taylor expansion of 0 in R
1.500 * [backup-simplify]: Simplify 0 into 0
1.500 * [backup-simplify]: Simplify 0 into 0
1.500 * [backup-simplify]: Simplify 0 into 0
1.500 * [backup-simplify]: Simplify 0 into 0
1.500 * [backup-simplify]: Simplify 0 into 0
1.502 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.502 * [backup-simplify]: Simplify 0 into 0
1.504 * [backup-simplify]: Simplify (* (acos (+ (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (- (/ 1 (/ 1 lambda1)) (/ 1 (/ 1 lambda2)))) (cos (/ 1 (/ 1 phi1))))))) (* (/ 1 (/ 1 R)) (* 1 (* 1 (* 1 1))))) into (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R)
1.504 * [backup-simplify]: Simplify (* (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2))))))) (/ 1 (- R))) into (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R))
1.504 * [approximate]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) in (phi1 phi2 lambda1 lambda2 R) around 0
1.504 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) in R
1.505 * [taylor]: Taking taylor expansion of -1 in R
1.505 * [backup-simplify]: Simplify -1 into -1
1.505 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) in R
1.505 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in R
1.505 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))))
1.505 * [taylor]: Taking taylor expansion of R in R
1.505 * [backup-simplify]: Simplify 0 into 0
1.505 * [backup-simplify]: Simplify 1 into 1
1.506 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) 1) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))))
1.506 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) in lambda2
1.506 * [taylor]: Taking taylor expansion of -1 in lambda2
1.506 * [backup-simplify]: Simplify -1 into -1
1.506 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) in lambda2
1.506 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in lambda2
1.506 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))))
1.506 * [taylor]: Taking taylor expansion of R in lambda2
1.506 * [backup-simplify]: Simplify R into R
1.507 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) into (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)
1.507 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) in lambda1
1.507 * [taylor]: Taking taylor expansion of -1 in lambda1
1.507 * [backup-simplify]: Simplify -1 into -1
1.507 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) in lambda1
1.507 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in lambda1
1.507 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))))
1.507 * [taylor]: Taking taylor expansion of R in lambda1
1.507 * [backup-simplify]: Simplify R into R
1.508 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) into (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)
1.508 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) in phi2
1.508 * [taylor]: Taking taylor expansion of -1 in phi2
1.508 * [backup-simplify]: Simplify -1 into -1
1.508 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) in phi2
1.508 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in phi2
1.508 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))))
1.508 * [taylor]: Taking taylor expansion of R in phi2
1.508 * [backup-simplify]: Simplify R into R
1.509 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) into (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)
1.509 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) in phi1
1.509 * [taylor]: Taking taylor expansion of -1 in phi1
1.509 * [backup-simplify]: Simplify -1 into -1
1.509 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) in phi1
1.509 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in phi1
1.509 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))))
1.509 * [taylor]: Taking taylor expansion of R in phi1
1.509 * [backup-simplify]: Simplify R into R
1.510 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) into (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)
1.510 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) in phi1
1.510 * [taylor]: Taking taylor expansion of -1 in phi1
1.510 * [backup-simplify]: Simplify -1 into -1
1.510 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) in phi1
1.510 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in phi1
1.510 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))))
1.510 * [taylor]: Taking taylor expansion of R in phi1
1.511 * [backup-simplify]: Simplify R into R
1.511 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) into (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)
1.511 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) into (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R))
1.512 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) in phi2
1.512 * [taylor]: Taking taylor expansion of -1 in phi2
1.512 * [backup-simplify]: Simplify -1 into -1
1.512 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) in phi2
1.512 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in phi2
1.512 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))))
1.512 * [taylor]: Taking taylor expansion of R in phi2
1.512 * [backup-simplify]: Simplify R into R
1.513 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) into (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)
1.513 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) into (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R))
1.513 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) in lambda1
1.513 * [taylor]: Taking taylor expansion of -1 in lambda1
1.513 * [backup-simplify]: Simplify -1 into -1
1.513 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) in lambda1
1.513 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in lambda1
1.514 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))))
1.514 * [taylor]: Taking taylor expansion of R in lambda1
1.514 * [backup-simplify]: Simplify R into R
1.514 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) into (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)
1.515 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) into (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R))
1.515 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) in lambda2
1.515 * [taylor]: Taking taylor expansion of -1 in lambda2
1.515 * [backup-simplify]: Simplify -1 into -1
1.515 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) in lambda2
1.515 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in lambda2
1.515 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))))
1.515 * [taylor]: Taking taylor expansion of R in lambda2
1.515 * [backup-simplify]: Simplify R into R
1.516 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) into (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)
1.516 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) into (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R))
1.516 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) in R
1.516 * [taylor]: Taking taylor expansion of -1 in R
1.516 * [backup-simplify]: Simplify -1 into -1
1.516 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) in R
1.516 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in R
1.517 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))))
1.517 * [taylor]: Taking taylor expansion of R in R
1.517 * [backup-simplify]: Simplify 0 into 0
1.517 * [backup-simplify]: Simplify 1 into 1
1.517 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) 1) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))))
1.518 * [backup-simplify]: Simplify (* -1 (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))))) into (* -1 (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))))
1.518 * [backup-simplify]: Simplify (* -1 (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))))) into (* -1 (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))))
1.519 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) (/ 0 R)))) into 0
1.520 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R))) into 0
1.520 * [taylor]: Taking taylor expansion of 0 in phi2
1.520 * [backup-simplify]: Simplify 0 into 0
1.520 * [taylor]: Taking taylor expansion of 0 in lambda1
1.520 * [backup-simplify]: Simplify 0 into 0
1.520 * [taylor]: Taking taylor expansion of 0 in lambda2
1.520 * [backup-simplify]: Simplify 0 into 0
1.520 * [taylor]: Taking taylor expansion of 0 in R
1.520 * [backup-simplify]: Simplify 0 into 0
1.521 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) (/ 0 R)))) into 0
1.522 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R))) into 0
1.522 * [taylor]: Taking taylor expansion of 0 in lambda1
1.522 * [backup-simplify]: Simplify 0 into 0
1.522 * [taylor]: Taking taylor expansion of 0 in lambda2
1.522 * [backup-simplify]: Simplify 0 into 0
1.522 * [taylor]: Taking taylor expansion of 0 in R
1.522 * [backup-simplify]: Simplify 0 into 0
1.523 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) (/ 0 R)))) into 0
1.524 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R))) into 0
1.524 * [taylor]: Taking taylor expansion of 0 in lambda2
1.524 * [backup-simplify]: Simplify 0 into 0
1.524 * [taylor]: Taking taylor expansion of 0 in R
1.524 * [backup-simplify]: Simplify 0 into 0
1.525 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) (/ 0 R)))) into 0
1.526 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R))) into 0
1.526 * [taylor]: Taking taylor expansion of 0 in R
1.526 * [backup-simplify]: Simplify 0 into 0
1.527 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) (/ 0 1)))) into 0
1.528 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))))) into 0
1.528 * [backup-simplify]: Simplify 0 into 0
1.529 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
1.530 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)))) into 0
1.530 * [taylor]: Taking taylor expansion of 0 in phi2
1.530 * [backup-simplify]: Simplify 0 into 0
1.530 * [taylor]: Taking taylor expansion of 0 in lambda1
1.530 * [backup-simplify]: Simplify 0 into 0
1.530 * [taylor]: Taking taylor expansion of 0 in lambda2
1.530 * [backup-simplify]: Simplify 0 into 0
1.530 * [taylor]: Taking taylor expansion of 0 in R
1.530 * [backup-simplify]: Simplify 0 into 0
1.530 * [taylor]: Taking taylor expansion of 0 in lambda1
1.530 * [backup-simplify]: Simplify 0 into 0
1.530 * [taylor]: Taking taylor expansion of 0 in lambda2
1.531 * [backup-simplify]: Simplify 0 into 0
1.531 * [taylor]: Taking taylor expansion of 0 in R
1.531 * [backup-simplify]: Simplify 0 into 0
1.531 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
1.533 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)))) into 0
1.533 * [taylor]: Taking taylor expansion of 0 in lambda1
1.533 * [backup-simplify]: Simplify 0 into 0
1.533 * [taylor]: Taking taylor expansion of 0 in lambda2
1.533 * [backup-simplify]: Simplify 0 into 0
1.533 * [taylor]: Taking taylor expansion of 0 in R
1.533 * [backup-simplify]: Simplify 0 into 0
1.533 * [taylor]: Taking taylor expansion of 0 in lambda2
1.533 * [backup-simplify]: Simplify 0 into 0
1.533 * [taylor]: Taking taylor expansion of 0 in R
1.533 * [backup-simplify]: Simplify 0 into 0
1.533 * [taylor]: Taking taylor expansion of 0 in lambda2
1.533 * [backup-simplify]: Simplify 0 into 0
1.533 * [taylor]: Taking taylor expansion of 0 in R
1.533 * [backup-simplify]: Simplify 0 into 0
1.534 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
1.535 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)))) into 0
1.535 * [taylor]: Taking taylor expansion of 0 in lambda2
1.535 * [backup-simplify]: Simplify 0 into 0
1.535 * [taylor]: Taking taylor expansion of 0 in R
1.535 * [backup-simplify]: Simplify 0 into 0
1.535 * [taylor]: Taking taylor expansion of 0 in R
1.536 * [backup-simplify]: Simplify 0 into 0
1.536 * [taylor]: Taking taylor expansion of 0 in R
1.536 * [backup-simplify]: Simplify 0 into 0
1.536 * [taylor]: Taking taylor expansion of 0 in R
1.536 * [backup-simplify]: Simplify 0 into 0
1.536 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
1.538 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)))) into 0
1.538 * [taylor]: Taking taylor expansion of 0 in R
1.538 * [backup-simplify]: Simplify 0 into 0
1.538 * [backup-simplify]: Simplify 0 into 0
1.538 * [backup-simplify]: Simplify 0 into 0
1.538 * [backup-simplify]: Simplify 0 into 0
1.538 * [backup-simplify]: Simplify 0 into 0
1.540 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.541 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))))))) into 0
1.541 * [backup-simplify]: Simplify 0 into 0
1.543 * [backup-simplify]: Simplify (* (* -1 (acos (+ (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (cos (- (/ 1 (/ 1 (- lambda2))) (/ 1 (/ 1 (- lambda1)))))))))) (* (/ 1 (/ 1 (- R))) (* 1 (* 1 (* 1 1))))) into (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R)
1.543 * * * [progress]: simplifying candidates
1.543 * * * * [progress]: [ 1 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos (- lambda2))) (* (sin lambda1) (sin (- lambda2))))))) R))>
1.543 * [simplify]: Simplifying (* (cos lambda1) (cos (- lambda2)))
1.544 * * [simplify]: iters left: 5 (6 enodes)
1.546 * * [simplify]: iters left: 4 (20 enodes)
1.551 * * [simplify]: Extracting #0: cost 1 inf + 0
1.551 * * [simplify]: Extracting #1: cost 4 inf + 0
1.551 * * [simplify]: Extracting #2: cost 9 inf + 0
1.551 * * [simplify]: Extracting #3: cost 5 inf + 165
1.551 * * [simplify]: Extracting #4: cost 0 inf + 652
1.552 * [simplify]: Simplified to (* (cos lambda1) (cos lambda2))
1.552 * [simplify]: Simplified (2 1 1 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R))
1.552 * * * * [progress]: [ 2 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos (- lambda2))) (* (sin lambda1) (sin (- lambda2))))))) R))>
1.552 * [simplify]: Simplifying (* (cos lambda1) (cos (- lambda2)))
1.553 * * [simplify]: iters left: 5 (6 enodes)
1.555 * * [simplify]: iters left: 4 (20 enodes)
1.561 * * [simplify]: Extracting #0: cost 1 inf + 0
1.561 * * [simplify]: Extracting #1: cost 4 inf + 0
1.561 * * [simplify]: Extracting #2: cost 9 inf + 0
1.561 * * [simplify]: Extracting #3: cost 5 inf + 165
1.561 * * [simplify]: Extracting #4: cost 0 inf + 652
1.561 * [simplify]: Simplified to (* (cos lambda1) (cos lambda2))
1.561 * [simplify]: Simplified (2 1 1 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R))
1.561 * * * * [progress]: [ 3 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
1.562 * [simplify]: Simplifying (* (cos lambda1) (cos lambda2))
1.562 * * [simplify]: iters left: 3 (5 enodes)
1.564 * * [simplify]: iters left: 2 (16 enodes)
1.568 * * [simplify]: Extracting #0: cost 1 inf + 0
1.568 * * [simplify]: Extracting #1: cost 4 inf + 0
1.568 * * [simplify]: Extracting #2: cost 8 inf + 0
1.568 * * [simplify]: Extracting #3: cost 4 inf + 124
1.568 * * [simplify]: Extracting #4: cost 0 inf + 570
1.568 * [simplify]: Simplified to (* (cos lambda2) (cos lambda1))
1.569 * [simplify]: Simplified (2 1 1 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2)))))) R))
1.569 * * * * [progress]: [ 4 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (pow (cos (- lambda1 lambda2)) 1)))) R))>
1.569 * * * * [progress]: [ 5 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (exp (log (cos (- lambda1 lambda2))))))) R))>
1.569 * * * * [progress]: [ 6 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (log (exp (cos (- lambda1 lambda2))))))) R))>
1.569 * * * * [progress]: [ 7 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (* (* (cbrt (cos (- lambda1 lambda2))) (cbrt (cos (- lambda1 lambda2)))) (cbrt (cos (- lambda1 lambda2))))))) R))>
1.569 * * * * [progress]: [ 8 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cbrt (* (* (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2))) (cos (- lambda1 lambda2))))))) R))>
1.569 * * * * [progress]: [ 9 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (* (sqrt (cos (- lambda1 lambda2))) (sqrt (cos (- lambda1 lambda2))))))) R))>
1.569 * * * * [progress]: [ 10 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (* 1 (cos (- lambda1 lambda2)))))) R))>
1.569 * * * * [progress]: [ 11 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (posit16->real (real->posit16 (cos (- lambda1 lambda2))))))) R))>
1.569 * * * * [progress]: [ 12 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) R))>
1.569 * * * * [progress]: [ 13 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (pow (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) 1) R))>
1.569 * * * * [progress]: [ 14 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))) R))>
1.570 * * * * [progress]: [ 15 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))) R))>
1.570 * * * * [progress]: [ 16 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))) R))>
1.570 * * * * [progress]: [ 17 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (cbrt (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))) R))>
1.570 * * * * [progress]: [ 18 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))) R))>
1.570 * * * * [progress]: [ 19 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* 1 (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) R))>
1.570 * * * * [progress]: [ 20 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (posit16->real (real->posit16 (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))) R))>
1.570 * * * * [progress]: [ 21 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (/ (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) 2) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
1.570 * [simplify]: Simplifying (- (cos (- phi1 phi2)) (cos (+ phi1 phi2)))
1.570 * * [simplify]: iters left: 5 (7 enodes)
1.573 * * [simplify]: iters left: 4 (26 enodes)
1.580 * * [simplify]: iters left: 3 (32 enodes)
1.588 * * [simplify]: Extracting #0: cost 1 inf + 0
1.588 * * [simplify]: Extracting #1: cost 5 inf + 0
1.588 * * [simplify]: Extracting #2: cost 10 inf + 0
1.589 * * [simplify]: Extracting #3: cost 15 inf + 0
1.589 * * [simplify]: Extracting #4: cost 13 inf + 43
1.589 * * [simplify]: Extracting #5: cost 4 inf + 800
1.589 * * [simplify]: Extracting #6: cost 1 inf + 1186
1.590 * * [simplify]: Extracting #7: cost 0 inf + 1428
1.590 * [simplify]: Simplified to (- (cos (- phi1 phi2)) (cos (+ phi2 phi1)))
1.590 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (/ (- (cos (- phi1 phi2)) (cos (+ phi2 phi1))) 2) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))
1.591 * * * * [progress]: [ 22 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (pow (* (sin phi1) (sin phi2)) 1) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
1.591 * [simplify]: Simplifying (* (sin phi1) (sin phi2))
1.591 * * [simplify]: iters left: 3 (5 enodes)
1.593 * * [simplify]: iters left: 2 (16 enodes)
1.597 * * [simplify]: Extracting #0: cost 1 inf + 0
1.597 * * [simplify]: Extracting #1: cost 4 inf + 0
1.597 * * [simplify]: Extracting #2: cost 8 inf + 0
1.597 * * [simplify]: Extracting #3: cost 4 inf + 124
1.597 * * [simplify]: Extracting #4: cost 0 inf + 570
1.597 * [simplify]: Simplified to (* (sin phi2) (sin phi1))
1.597 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (pow (* (sin phi2) (sin phi1)) 1) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))
1.598 * * * * [progress]: [ 23 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (pow (* (sin phi1) (sin phi2)) 1) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
1.598 * * * * [progress]: [ 24 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (exp (+ (log (sin phi1)) (log (sin phi2)))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
1.598 * [simplify]: Simplifying (+ (log (sin phi1)) (log (sin phi2)))
1.598 * * [simplify]: iters left: 4 (7 enodes)
1.601 * * [simplify]: iters left: 3 (22 enodes)
1.606 * * [simplify]: Extracting #0: cost 1 inf + 0
1.607 * * [simplify]: Extracting #1: cost 4 inf + 0
1.607 * * [simplify]: Extracting #2: cost 8 inf + 0
1.607 * * [simplify]: Extracting #3: cost 12 inf + 0
1.607 * * [simplify]: Extracting #4: cost 10 inf + 2
1.607 * * [simplify]: Extracting #5: cost 4 inf + 508
1.607 * * [simplify]: Extracting #6: cost 1 inf + 1072
1.607 * * [simplify]: Extracting #7: cost 0 inf + 1374
1.607 * [simplify]: Simplified to (+ (log (sin phi2)) (log (sin phi1)))
1.607 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (exp (+ (log (sin phi2)) (log (sin phi1)))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))
1.607 * * * * [progress]: [ 25 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (exp (log (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
1.607 * * * * [progress]: [ 26 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
1.607 * * * * [progress]: [ 27 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
1.608 * [simplify]: Simplifying (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2)))
1.608 * * [simplify]: iters left: 6 (9 enodes)
1.610 * * [simplify]: iters left: 5 (34 enodes)
1.617 * * [simplify]: iters left: 4 (63 enodes)
1.629 * * [simplify]: iters left: 3 (122 enodes)
1.668 * * [simplify]: iters left: 2 (196 enodes)
1.723 * * [simplify]: iters left: 1 (356 enodes)
1.870 * * [simplify]: Extracting #0: cost 1 inf + 0
1.871 * * [simplify]: Extracting #1: cost 70 inf + 0
1.871 * * [simplify]: Extracting #2: cost 169 inf + 1
1.872 * * [simplify]: Extracting #3: cost 154 inf + 2658
1.875 * * [simplify]: Extracting #4: cost 86 inf + 31524
1.883 * * [simplify]: Extracting #5: cost 7 inf + 77226
1.891 * * [simplify]: Extracting #6: cost 0 inf + 81813
1.907 * [simplify]: Simplified to (* (* (* (sin phi2) (sin phi1)) (* (sin phi2) (sin phi1))) (* (sin phi2) (sin phi1)))
1.907 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (* (* (sin phi2) (sin phi1)) (* (sin phi2) (sin phi1))) (* (sin phi2) (sin phi1)))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))
1.908 * * * * [progress]: [ 28 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
1.908 * * * * [progress]: [ 29 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
1.908 * * * * [progress]: [ 30 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
1.908 * * * * [progress]: [ 31 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* 1 (* (sin phi1) (sin phi2))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
1.908 * * * * [progress]: [ 32 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2)))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
1.908 * [simplify]: Simplifying (* (sqrt (sin phi1)) (sqrt (sin phi2)))
1.908 * * [simplify]: iters left: 4 (7 enodes)
1.911 * * [simplify]: iters left: 3 (22 enodes)
1.916 * * [simplify]: Extracting #0: cost 1 inf + 0
1.916 * * [simplify]: Extracting #1: cost 4 inf + 0
1.916 * * [simplify]: Extracting #2: cost 8 inf + 0
1.916 * * [simplify]: Extracting #3: cost 12 inf + 0
1.916 * * [simplify]: Extracting #4: cost 10 inf + 2
1.916 * * [simplify]: Extracting #5: cost 4 inf + 448
1.916 * * [simplify]: Extracting #6: cost 1 inf + 892
1.916 * * [simplify]: Extracting #7: cost 0 inf + 1134
1.916 * [simplify]: Simplified to (* (sqrt (sin phi1)) (sqrt (sin phi2)))
1.916 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2)))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))
1.916 * [simplify]: Simplifying (* (sqrt (sin phi1)) (sqrt (sin phi2)))
1.917 * * [simplify]: iters left: 4 (7 enodes)
1.918 * * [simplify]: iters left: 3 (22 enodes)
1.921 * * [simplify]: Extracting #0: cost 1 inf + 0
1.921 * * [simplify]: Extracting #1: cost 4 inf + 0
1.921 * * [simplify]: Extracting #2: cost 8 inf + 0
1.921 * * [simplify]: Extracting #3: cost 12 inf + 0
1.921 * * [simplify]: Extracting #4: cost 10 inf + 2
1.921 * * [simplify]: Extracting #5: cost 4 inf + 448
1.921 * * [simplify]: Extracting #6: cost 1 inf + 892
1.921 * * [simplify]: Extracting #7: cost 0 inf + 1134
1.921 * [simplify]: Simplified to (* (sqrt (sin phi1)) (sqrt (sin phi2)))
1.921 * [simplify]: Simplified (2 1 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2)))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))
1.921 * * * * [progress]: [ 33 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (cbrt (sin phi2))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
1.922 * [simplify]: Simplifying (cbrt (sin phi2))
1.922 * * [simplify]: iters left: 2 (3 enodes)
1.922 * * [simplify]: iters left: 1 (9 enodes)
1.924 * * [simplify]: Extracting #0: cost 1 inf + 0
1.924 * * [simplify]: Extracting #1: cost 3 inf + 0
1.924 * * [simplify]: Extracting #2: cost 5 inf + 0
1.924 * * [simplify]: Extracting #3: cost 4 inf + 1
1.924 * * [simplify]: Extracting #4: cost 0 inf + 405
1.924 * [simplify]: Simplified to (cbrt (sin phi2))
1.924 * [simplify]: Simplified (2 1 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (cbrt (sin phi2))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))
1.924 * * * * [progress]: [ 34 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sin phi1) (sqrt (sin phi2))) (sqrt (sin phi2))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
1.924 * [simplify]: Simplifying (sqrt (sin phi2))
1.924 * * [simplify]: iters left: 2 (3 enodes)
1.925 * * [simplify]: iters left: 1 (9 enodes)
1.926 * * [simplify]: Extracting #0: cost 1 inf + 0
1.926 * * [simplify]: Extracting #1: cost 3 inf + 0
1.926 * * [simplify]: Extracting #2: cost 5 inf + 0
1.926 * * [simplify]: Extracting #3: cost 4 inf + 1
1.926 * * [simplify]: Extracting #4: cost 0 inf + 325
1.926 * [simplify]: Simplified to (sqrt (sin phi2))
1.926 * [simplify]: Simplified (2 1 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sin phi1) (sqrt (sin phi2))) (sqrt (sin phi2))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))
1.926 * * * * [progress]: [ 35 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sin phi1) 1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
1.926 * [simplify]: Simplifying (sin phi2)
1.926 * * [simplify]: iters left: 1 (2 enodes)
1.927 * * [simplify]: Extracting #0: cost 1 inf + 0
1.927 * * [simplify]: Extracting #1: cost 3 inf + 0
1.927 * * [simplify]: Extracting #2: cost 2 inf + 1
1.927 * * [simplify]: Extracting #3: cost 0 inf + 123
1.927 * [simplify]: Simplified to (sin phi2)
1.927 * [simplify]: Simplified (2 1 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sin phi1) 1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))
1.927 * * * * [progress]: [ 36 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (cbrt (sin phi1)) (cbrt (sin phi1))) (* (cbrt (sin phi1)) (sin phi2))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
1.927 * [simplify]: Simplifying (* (cbrt (sin phi1)) (cbrt (sin phi1)))
1.927 * * [simplify]: iters left: 4 (4 enodes)
1.928 * * [simplify]: iters left: 3 (12 enodes)
1.930 * * [simplify]: Extracting #0: cost 1 inf + 0
1.930 * * [simplify]: Extracting #1: cost 3 inf + 0
1.930 * * [simplify]: Extracting #2: cost 5 inf + 0
1.930 * * [simplify]: Extracting #3: cost 7 inf + 0
1.930 * * [simplify]: Extracting #4: cost 6 inf + 1
1.930 * * [simplify]: Extracting #5: cost 0 inf + 767
1.930 * [simplify]: Simplified to (* (cbrt (sin phi1)) (cbrt (sin phi1)))
1.930 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (cbrt (sin phi1)) (cbrt (sin phi1))) (* (cbrt (sin phi1)) (sin phi2))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))
1.930 * * * * [progress]: [ 37 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sqrt (sin phi1)) (* (sqrt (sin phi1)) (sin phi2))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
1.930 * [simplify]: Simplifying (sqrt (sin phi1))
1.930 * * [simplify]: iters left: 2 (3 enodes)
1.931 * * [simplify]: iters left: 1 (9 enodes)
1.932 * * [simplify]: Extracting #0: cost 1 inf + 0
1.932 * * [simplify]: Extracting #1: cost 3 inf + 0
1.932 * * [simplify]: Extracting #2: cost 5 inf + 0
1.932 * * [simplify]: Extracting #3: cost 4 inf + 1
1.932 * * [simplify]: Extracting #4: cost 0 inf + 325
1.932 * [simplify]: Simplified to (sqrt (sin phi1))
1.932 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sqrt (sin phi1)) (* (sqrt (sin phi1)) (sin phi2))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))
1.932 * * * * [progress]: [ 38 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* 1 (* (sin phi1) (sin phi2))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
1.932 * * * * [progress]: [ 39 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (posit16->real (real->posit16 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
1.932 * * * * [progress]: [ 40 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
1.932 * * * * [progress]: [ 41 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) 1))>
1.933 * [simplify]: Simplifying (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)
1.933 * * [simplify]: iters left: 6 (17 enodes)
1.936 * * [simplify]: iters left: 5 (60 enodes)
1.948 * * [simplify]: iters left: 4 (71 enodes)
1.967 * * [simplify]: iters left: 3 (76 enodes)
1.985 * * [simplify]: Extracting #0: cost 1 inf + 0
1.986 * * [simplify]: Extracting #1: cost 4 inf + 0
1.986 * * [simplify]: Extracting #2: cost 5 inf + 1
1.986 * * [simplify]: Extracting #3: cost 8 inf + 1
1.986 * * [simplify]: Extracting #4: cost 18 inf + 1
1.986 * * [simplify]: Extracting #5: cost 29 inf + 1
1.986 * * [simplify]: Extracting #6: cost 25 inf + 369
1.986 * * [simplify]: Extracting #7: cost 19 inf + 979
1.987 * * [simplify]: Extracting #8: cost 9 inf + 2522
1.989 * * [simplify]: Extracting #9: cost 0 inf + 6397
1.991 * [simplify]: Simplified to (* R (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))
1.991 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (pow (* R (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) 1))
1.991 * * * * [progress]: [ 42 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) 1))>
1.991 * * * * [progress]: [ 43 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (exp (+ (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (log R))))>
1.991 * [simplify]: Simplifying (+ (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (log R))
1.991 * * [simplify]: iters left: 6 (19 enodes)
1.999 * * [simplify]: iters left: 5 (66 enodes)
2.016 * * [simplify]: iters left: 4 (77 enodes)
2.036 * * [simplify]: iters left: 3 (82 enodes)
2.051 * * [simplify]: Extracting #0: cost 1 inf + 0
2.051 * * [simplify]: Extracting #1: cost 4 inf + 0
2.051 * * [simplify]: Extracting #2: cost 8 inf + 0
2.051 * * [simplify]: Extracting #3: cost 9 inf + 1
2.052 * * [simplify]: Extracting #4: cost 10 inf + 143
2.052 * * [simplify]: Extracting #5: cost 20 inf + 143
2.052 * * [simplify]: Extracting #6: cost 31 inf + 143
2.052 * * [simplify]: Extracting #7: cost 26 inf + 572
2.052 * * [simplify]: Extracting #8: cost 22 inf + 959
2.052 * * [simplify]: Extracting #9: cost 12 inf + 2825
2.053 * * [simplify]: Extracting #10: cost 3 inf + 5933
2.054 * * [simplify]: Extracting #11: cost 0 inf + 8147
2.055 * [simplify]: Simplified to (+ (log R) (log (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))))
2.055 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (exp (+ (log R) (log (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))))))
2.055 * * * * [progress]: [ 44 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (exp (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))))>
2.055 * * * * [progress]: [ 45 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (log (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))))>
2.055 * * * * [progress]: [ 46 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (cbrt (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (* R R) R))))>
2.056 * [simplify]: Simplifying (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (* R R) R))
2.056 * * [simplify]: iters left: 6 (21 enodes)
2.060 * * [simplify]: iters left: 5 (78 enodes)
2.072 * * [simplify]: iters left: 4 (118 enodes)
2.093 * * [simplify]: iters left: 3 (178 enodes)
2.133 * * [simplify]: iters left: 2 (254 enodes)
2.191 * * [simplify]: iters left: 1 (411 enodes)
2.304 * * [simplify]: Extracting #0: cost 1 inf + 0
2.304 * * [simplify]: Extracting #1: cost 48 inf + 0
2.305 * * [simplify]: Extracting #2: cost 145 inf + 2
2.305 * * [simplify]: Extracting #3: cost 149 inf + 934
2.306 * * [simplify]: Extracting #4: cost 155 inf + 2154
2.307 * * [simplify]: Extracting #5: cost 161 inf + 3374
2.308 * * [simplify]: Extracting #6: cost 154 inf + 4379
2.311 * * [simplify]: Extracting #7: cost 121 inf + 22485
2.323 * * [simplify]: Extracting #8: cost 48 inf + 88157
2.352 * * [simplify]: Extracting #9: cost 1 inf + 137613
2.392 * * [simplify]: Extracting #10: cost 0 inf + 138710
2.415 * [simplify]: Simplified to (* (* (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) R) (* (* (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) R) (* (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) R)))
2.415 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (cbrt (* (* (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) R) (* (* (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) R) (* (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) R)))))
2.416 * * * * [progress]: [ 47 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))))>
2.416 * * * * [progress]: [ 48 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (cbrt (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))))>
2.416 * * * * [progress]: [ 49 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))))>
2.416 * * * * [progress]: [ 50 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* 1 (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)))>
2.416 * * * * [progress]: [ 51 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R))))>
2.416 * [simplify]: Simplifying (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R))
2.416 * * [simplify]: iters left: 6 (19 enodes)
2.420 * * [simplify]: iters left: 5 (66 enodes)
2.428 * * [simplify]: iters left: 4 (77 enodes)
2.438 * * [simplify]: iters left: 3 (82 enodes)
2.452 * * [simplify]: Extracting #0: cost 1 inf + 0
2.452 * * [simplify]: Extracting #1: cost 4 inf + 0
2.452 * * [simplify]: Extracting #2: cost 8 inf + 0
2.452 * * [simplify]: Extracting #3: cost 9 inf + 1
2.452 * * [simplify]: Extracting #4: cost 10 inf + 83
2.453 * * [simplify]: Extracting #5: cost 20 inf + 83
2.453 * * [simplify]: Extracting #6: cost 31 inf + 83
2.453 * * [simplify]: Extracting #7: cost 26 inf + 512
2.453 * * [simplify]: Extracting #8: cost 22 inf + 899
2.454 * * [simplify]: Extracting #9: cost 12 inf + 2765
2.456 * * [simplify]: Extracting #10: cost 3 inf + 5843
2.457 * * [simplify]: Extracting #11: cost 0 inf + 7907
2.459 * [simplify]: Simplified to (* (sqrt (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) (sqrt R))
2.459 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R))))
2.460 * [simplify]: Simplifying (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R))
2.460 * * [simplify]: iters left: 6 (19 enodes)
2.468 * * [simplify]: iters left: 5 (66 enodes)
2.485 * * [simplify]: iters left: 4 (77 enodes)
2.504 * * [simplify]: iters left: 3 (82 enodes)
2.514 * * [simplify]: Extracting #0: cost 1 inf + 0
2.515 * * [simplify]: Extracting #1: cost 4 inf + 0
2.515 * * [simplify]: Extracting #2: cost 8 inf + 0
2.515 * * [simplify]: Extracting #3: cost 9 inf + 1
2.515 * * [simplify]: Extracting #4: cost 10 inf + 83
2.515 * * [simplify]: Extracting #5: cost 20 inf + 83
2.515 * * [simplify]: Extracting #6: cost 31 inf + 83
2.515 * * [simplify]: Extracting #7: cost 26 inf + 512
2.515 * * [simplify]: Extracting #8: cost 22 inf + 899
2.516 * * [simplify]: Extracting #9: cost 12 inf + 2765
2.516 * * [simplify]: Extracting #10: cost 3 inf + 5843
2.517 * * [simplify]: Extracting #11: cost 0 inf + 7907
2.518 * [simplify]: Simplified to (* (sqrt (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) (sqrt R))
2.518 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R)) (* (sqrt (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) (sqrt R))))
2.518 * * * * [progress]: [ 52 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (* (cbrt R) (cbrt R))) (cbrt R)))>
2.519 * [simplify]: Simplifying (cbrt R)
2.519 * * [simplify]: iters left: 1 (2 enodes)
2.519 * * [simplify]: Extracting #0: cost 1 inf + 0
2.519 * * [simplify]: Extracting #1: cost 3 inf + 0
2.519 * * [simplify]: Extracting #2: cost 2 inf + 1
2.519 * * [simplify]: Extracting #3: cost 0 inf + 163
2.519 * [simplify]: Simplified to (cbrt R)
2.519 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (* (cbrt R) (cbrt R))) (cbrt R)))
2.519 * * * * [progress]: [ 53 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (sqrt R)) (sqrt R)))>
2.519 * [simplify]: Simplifying (sqrt R)
2.519 * * [simplify]: iters left: 1 (2 enodes)
2.520 * * [simplify]: Extracting #0: cost 1 inf + 0
2.520 * * [simplify]: Extracting #1: cost 3 inf + 0
2.520 * * [simplify]: Extracting #2: cost 2 inf + 1
2.520 * * [simplify]: Extracting #3: cost 0 inf + 83
2.520 * [simplify]: Simplified to (sqrt R)
2.520 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (sqrt R)) (sqrt R)))
2.520 * * * * [progress]: [ 54 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) 1) R))>
2.520 * * * * [progress]: [ 55 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) R)))>
2.520 * [simplify]: Simplifying (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))))
2.520 * * [simplify]: iters left: 6 (17 enodes)
2.524 * * [simplify]: iters left: 5 (59 enodes)
2.531 * * [simplify]: iters left: 4 (70 enodes)
2.540 * * [simplify]: iters left: 3 (76 enodes)
2.556 * * [simplify]: Extracting #0: cost 1 inf + 0
2.556 * * [simplify]: Extracting #1: cost 3 inf + 0
2.556 * * [simplify]: Extracting #2: cost 5 inf + 0
2.556 * * [simplify]: Extracting #3: cost 7 inf + 0
2.556 * * [simplify]: Extracting #4: cost 10 inf + 0
2.556 * * [simplify]: Extracting #5: cost 20 inf + 0
2.557 * * [simplify]: Extracting #6: cost 31 inf + 0
2.557 * * [simplify]: Extracting #7: cost 27 inf + 368
2.557 * * [simplify]: Extracting #8: cost 21 inf + 978
2.558 * * [simplify]: Extracting #9: cost 10 inf + 2724
2.560 * * [simplify]: Extracting #10: cost 0 inf + 7902
2.562 * [simplify]: Simplified to (* (cbrt (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) (cbrt (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))))
2.562 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) (cbrt (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) R)))
2.562 * * * * [progress]: [ 56 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) R)))>
2.562 * [simplify]: Simplifying (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))
2.562 * * [simplify]: iters left: 6 (16 enodes)
2.565 * * [simplify]: iters left: 5 (56 enodes)
2.572 * * [simplify]: iters left: 4 (67 enodes)
2.581 * * [simplify]: iters left: 3 (73 enodes)
2.590 * * [simplify]: Extracting #0: cost 1 inf + 0
2.590 * * [simplify]: Extracting #1: cost 3 inf + 0
2.590 * * [simplify]: Extracting #2: cost 5 inf + 0
2.591 * * [simplify]: Extracting #3: cost 8 inf + 0
2.591 * * [simplify]: Extracting #4: cost 18 inf + 0
2.591 * * [simplify]: Extracting #5: cost 29 inf + 0
2.591 * * [simplify]: Extracting #6: cost 26 inf + 307
2.591 * * [simplify]: Extracting #7: cost 20 inf + 816
2.591 * * [simplify]: Extracting #8: cost 8 inf + 2825
2.592 * * [simplify]: Extracting #9: cost 1 inf + 5760
2.593 * * [simplify]: Extracting #10: cost 0 inf + 6394
2.594 * [simplify]: Simplified to (sqrt (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))
2.594 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) R)))
2.594 * * * * [progress]: [ 57 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* 1 (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)))>
2.594 * * * * [progress]: [ 58 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (posit16->real (real->posit16 (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))))>
2.594 * * * * [progress]: [ 59 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))))>
2.594 * * * * [progress]: [ 60 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (+ 1 (* lambda2 lambda1)) (* 1/2 (pow lambda1 2)))))) R))>
2.594 * [simplify]: Simplifying (- (+ 1 (* lambda2 lambda1)) (* 1/2 (pow lambda1 2)))
2.594 * * [simplify]: iters left: 6 (10 enodes)
2.601 * * [simplify]: iters left: 5 (43 enodes)
2.615 * * [simplify]: iters left: 4 (68 enodes)
2.636 * * [simplify]: iters left: 3 (99 enodes)
2.663 * * [simplify]: iters left: 2 (121 enodes)
2.694 * * [simplify]: iters left: 1 (130 enodes)
2.723 * * [simplify]: Extracting #0: cost 1 inf + 0
2.723 * * [simplify]: Extracting #1: cost 15 inf + 0
2.723 * * [simplify]: Extracting #2: cost 30 inf + 2
2.723 * * [simplify]: Extracting #3: cost 30 inf + 130
2.723 * * [simplify]: Extracting #4: cost 12 inf + 1530
2.724 * * [simplify]: Extracting #5: cost 1 inf + 2680
2.725 * * [simplify]: Extracting #6: cost 0 inf + 2843
2.726 * [simplify]: Simplified to (+ (* (+ (* lambda1 -1/2) lambda2) lambda1) 1)
2.726 * [simplify]: Simplified (2 1 1 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (+ (* lambda1 -1/2) lambda2) lambda1) 1)))) R))
2.726 * * * * [progress]: [ 61 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
2.726 * [simplify]: Simplifying (cos (- lambda1 lambda2))
2.726 * * [simplify]: iters left: 3 (4 enodes)
2.727 * * [simplify]: iters left: 2 (14 enodes)
2.729 * * [simplify]: iters left: 1 (17 enodes)
2.731 * * [simplify]: Extracting #0: cost 1 inf + 0
2.731 * * [simplify]: Extracting #1: cost 3 inf + 0
2.731 * * [simplify]: Extracting #2: cost 7 inf + 0
2.731 * * [simplify]: Extracting #3: cost 5 inf + 43
2.731 * * [simplify]: Extracting #4: cost 0 inf + 372
2.731 * [simplify]: Simplified to (cos (- lambda1 lambda2))
2.731 * [simplify]: Simplified (2 1 1 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))
2.731 * * * * [progress]: [ 62 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
2.731 * [simplify]: Simplifying (cos (- lambda1 lambda2))
2.731 * * [simplify]: iters left: 3 (4 enodes)
2.732 * * [simplify]: iters left: 2 (14 enodes)
2.734 * * [simplify]: iters left: 1 (17 enodes)
2.736 * * [simplify]: Extracting #0: cost 1 inf + 0
2.736 * * [simplify]: Extracting #1: cost 3 inf + 0
2.736 * * [simplify]: Extracting #2: cost 7 inf + 0
2.736 * * [simplify]: Extracting #3: cost 5 inf + 43
2.736 * * [simplify]: Extracting #4: cost 0 inf + 372
2.736 * [simplify]: Simplified to (cos (- lambda1 lambda2))
2.736 * [simplify]: Simplified (2 1 1 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))
2.736 * * * * [progress]: [ 63 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R))>
2.736 * [simplify]: Simplifying (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2))))
2.736 * * [simplify]: iters left: 6 (15 enodes)
2.739 * * [simplify]: iters left: 5 (53 enodes)
2.746 * * [simplify]: iters left: 4 (64 enodes)
2.758 * * [simplify]: iters left: 3 (69 enodes)
2.774 * * [simplify]: Extracting #0: cost 1 inf + 0
2.774 * * [simplify]: Extracting #1: cost 3 inf + 0
2.774 * * [simplify]: Extracting #2: cost 6 inf + 0
2.774 * * [simplify]: Extracting #3: cost 16 inf + 0
2.774 * * [simplify]: Extracting #4: cost 27 inf + 0
2.775 * * [simplify]: Extracting #5: cost 24 inf + 307
2.775 * * [simplify]: Extracting #6: cost 10 inf + 2175
2.776 * * [simplify]: Extracting #7: cost 0 inf + 5126
2.778 * [simplify]: Simplified to (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))
2.778 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))
2.778 * * * * [progress]: [ 64 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R))>
2.778 * [simplify]: Simplifying (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2))))
2.778 * * [simplify]: iters left: 6 (15 enodes)
2.783 * * [simplify]: iters left: 5 (53 enodes)
2.790 * * [simplify]: iters left: 4 (64 enodes)
2.798 * * [simplify]: iters left: 3 (69 enodes)
2.806 * * [simplify]: Extracting #0: cost 1 inf + 0
2.806 * * [simplify]: Extracting #1: cost 3 inf + 0
2.806 * * [simplify]: Extracting #2: cost 6 inf + 0
2.806 * * [simplify]: Extracting #3: cost 16 inf + 0
2.806 * * [simplify]: Extracting #4: cost 27 inf + 0
2.806 * * [simplify]: Extracting #5: cost 24 inf + 307
2.808 * * [simplify]: Extracting #6: cost 10 inf + 2175
2.808 * * [simplify]: Extracting #7: cost 0 inf + 5126
2.809 * [simplify]: Simplified to (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))
2.809 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))
2.809 * * * * [progress]: [ 65 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R))>
2.809 * [simplify]: Simplifying (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2))))
2.809 * * [simplify]: iters left: 6 (15 enodes)
2.814 * * [simplify]: iters left: 5 (53 enodes)
2.829 * * [simplify]: iters left: 4 (64 enodes)
2.846 * * [simplify]: iters left: 3 (69 enodes)
2.863 * * [simplify]: Extracting #0: cost 1 inf + 0
2.863 * * [simplify]: Extracting #1: cost 3 inf + 0
2.863 * * [simplify]: Extracting #2: cost 6 inf + 0
2.863 * * [simplify]: Extracting #3: cost 16 inf + 0
2.863 * * [simplify]: Extracting #4: cost 27 inf + 0
2.863 * * [simplify]: Extracting #5: cost 24 inf + 307
2.864 * * [simplify]: Extracting #6: cost 10 inf + 2175
2.865 * * [simplify]: Extracting #7: cost 0 inf + 5126
2.866 * [simplify]: Simplified to (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))
2.866 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))
2.867 * * * * [progress]: [ 66 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* phi1 phi2) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
2.867 * [simplify]: Simplifying (* phi1 phi2)
2.867 * * [simplify]: iters left: 2 (3 enodes)
2.868 * * [simplify]: iters left: 1 (10 enodes)
2.871 * * [simplify]: Extracting #0: cost 1 inf + 0
2.871 * * [simplify]: Extracting #1: cost 4 inf + 0
2.871 * * [simplify]: Extracting #2: cost 2 inf + 2
2.871 * * [simplify]: Extracting #3: cost 0 inf + 86
2.871 * [simplify]: Simplified to (* phi1 phi2)
2.871 * [simplify]: Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* phi1 phi2) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))
2.871 * * * * [progress]: [ 67 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
2.871 * [simplify]: Simplifying (* (sin phi1) (sin phi2))
2.872 * * [simplify]: iters left: 3 (5 enodes)
2.874 * * [simplify]: iters left: 2 (16 enodes)
2.878 * * [simplify]: Extracting #0: cost 1 inf + 0
2.878 * * [simplify]: Extracting #1: cost 4 inf + 0
2.878 * * [simplify]: Extracting #2: cost 8 inf + 0
2.878 * * [simplify]: Extracting #3: cost 4 inf + 124
2.878 * * [simplify]: Extracting #4: cost 0 inf + 570
2.878 * [simplify]: Simplified to (* (sin phi2) (sin phi1))
2.878 * [simplify]: Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))
2.878 * * * * [progress]: [ 68 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
2.879 * [simplify]: Simplifying (* (sin phi1) (sin phi2))
2.879 * * [simplify]: iters left: 3 (5 enodes)
2.881 * * [simplify]: iters left: 2 (16 enodes)
2.885 * * [simplify]: Extracting #0: cost 1 inf + 0
2.885 * * [simplify]: Extracting #1: cost 4 inf + 0
2.885 * * [simplify]: Extracting #2: cost 8 inf + 0
2.885 * * [simplify]: Extracting #3: cost 4 inf + 124
2.885 * * [simplify]: Extracting #4: cost 0 inf + 570
2.885 * [simplify]: Simplified to (* (sin phi2) (sin phi1))
2.885 * [simplify]: Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))
2.886 * * * * [progress]: [ 69 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R))>
2.886 * [simplify]: Simplifying (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R)
2.886 * * [simplify]: iters left: 6 (17 enodes)
2.893 * * [simplify]: iters left: 5 (60 enodes)
2.909 * * [simplify]: iters left: 4 (71 enodes)
2.927 * * [simplify]: iters left: 3 (76 enodes)
2.938 * * [simplify]: Extracting #0: cost 1 inf + 0
2.938 * * [simplify]: Extracting #1: cost 4 inf + 0
2.938 * * [simplify]: Extracting #2: cost 5 inf + 1
2.938 * * [simplify]: Extracting #3: cost 8 inf + 1
2.938 * * [simplify]: Extracting #4: cost 18 inf + 1
2.938 * * [simplify]: Extracting #5: cost 29 inf + 1
2.938 * * [simplify]: Extracting #6: cost 26 inf + 308
2.938 * * [simplify]: Extracting #7: cost 15 inf + 1931
2.940 * * [simplify]: Extracting #8: cost 2 inf + 5991
2.941 * * [simplify]: Extracting #9: cost 0 inf + 6397
2.941 * [simplify]: Simplified to (* R (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))))
2.941 * [simplify]: Simplified (2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))))
2.942 * * * * [progress]: [ 70 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R))>
2.942 * [simplify]: Simplifying (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R)
2.942 * * [simplify]: iters left: 6 (17 enodes)
2.945 * * [simplify]: iters left: 5 (60 enodes)
2.953 * * [simplify]: iters left: 4 (71 enodes)
2.962 * * [simplify]: iters left: 3 (76 enodes)
2.979 * * [simplify]: Extracting #0: cost 1 inf + 0
2.979 * * [simplify]: Extracting #1: cost 4 inf + 0
2.979 * * [simplify]: Extracting #2: cost 5 inf + 1
2.979 * * [simplify]: Extracting #3: cost 8 inf + 1
2.979 * * [simplify]: Extracting #4: cost 18 inf + 1
2.980 * * [simplify]: Extracting #5: cost 29 inf + 1
2.980 * * [simplify]: Extracting #6: cost 26 inf + 308
2.980 * * [simplify]: Extracting #7: cost 15 inf + 1931
2.982 * * [simplify]: Extracting #8: cost 2 inf + 5991
2.984 * * [simplify]: Extracting #9: cost 0 inf + 6397
2.985 * [simplify]: Simplified to (* R (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))))
2.985 * [simplify]: Simplified (2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))))
2.985 * * * * [progress]: [ 71 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R))>
2.986 * [simplify]: Simplifying (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R)
2.986 * * [simplify]: iters left: 6 (17 enodes)
2.993 * * [simplify]: iters left: 5 (60 enodes)
3.008 * * [simplify]: iters left: 4 (71 enodes)
3.027 * * [simplify]: iters left: 3 (76 enodes)
3.046 * * [simplify]: Extracting #0: cost 1 inf + 0
3.046 * * [simplify]: Extracting #1: cost 4 inf + 0
3.046 * * [simplify]: Extracting #2: cost 5 inf + 1
3.046 * * [simplify]: Extracting #3: cost 8 inf + 1
3.046 * * [simplify]: Extracting #4: cost 18 inf + 1
3.046 * * [simplify]: Extracting #5: cost 29 inf + 1
3.046 * * [simplify]: Extracting #6: cost 26 inf + 308
3.047 * * [simplify]: Extracting #7: cost 15 inf + 1931
3.048 * * [simplify]: Extracting #8: cost 2 inf + 5991
3.050 * * [simplify]: Extracting #9: cost 0 inf + 6397
3.051 * [simplify]: Simplified to (* R (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))))
3.052 * [simplify]: Simplified (2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))))
3.052 * * * [progress]: adding candidates to table
4.300 * * [progress]: iteration 2 / 4
4.301 * * * [progress]: picking best candidate
4.430 * * * * [pick]: Picked  #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
4.430 * * * [progress]: localizing error
4.515 * * * [progress]: generating rewritten candidates
4.515 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1)
4.517 * * * * [progress]: [ 2 / 4 ] rewriting at (2)
4.522 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1)
4.533 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2)
4.606 * * * [progress]: generating series expansions
4.606 * * * * [progress]: [ 1 / 4 ] generating series at (2 1)
4.607 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
4.607 * [approximate]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in (phi1 phi2 lambda1 lambda2) around 0
4.607 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2
4.607 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
4.607 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1
4.608 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
4.608 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2
4.608 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
4.608 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1
4.608 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
4.608 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1
4.608 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
4.609 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2
4.609 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
4.609 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1
4.609 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
4.609 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2
4.609 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
4.610 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
4.610 * [taylor]: Taking taylor expansion of 0 in phi2
4.610 * [backup-simplify]: Simplify 0 into 0
4.610 * [taylor]: Taking taylor expansion of 0 in lambda1
4.610 * [backup-simplify]: Simplify 0 into 0
4.610 * [taylor]: Taking taylor expansion of 0 in lambda2
4.610 * [backup-simplify]: Simplify 0 into 0
4.610 * [backup-simplify]: Simplify 0 into 0
4.610 * [taylor]: Taking taylor expansion of 0 in lambda1
4.610 * [backup-simplify]: Simplify 0 into 0
4.610 * [taylor]: Taking taylor expansion of 0 in lambda2
4.610 * [backup-simplify]: Simplify 0 into 0
4.610 * [backup-simplify]: Simplify 0 into 0
4.610 * [taylor]: Taking taylor expansion of 0 in lambda2
4.610 * [backup-simplify]: Simplify 0 into 0
4.610 * [backup-simplify]: Simplify 0 into 0
4.610 * [backup-simplify]: Simplify 0 into 0
4.610 * [taylor]: Taking taylor expansion of 0 in phi2
4.610 * [backup-simplify]: Simplify 0 into 0
4.610 * [taylor]: Taking taylor expansion of 0 in lambda1
4.610 * [backup-simplify]: Simplify 0 into 0
4.610 * [taylor]: Taking taylor expansion of 0 in lambda2
4.610 * [backup-simplify]: Simplify 0 into 0
4.610 * [backup-simplify]: Simplify 0 into 0
4.610 * [taylor]: Taking taylor expansion of 0 in lambda1
4.610 * [backup-simplify]: Simplify 0 into 0
4.610 * [taylor]: Taking taylor expansion of 0 in lambda2
4.610 * [backup-simplify]: Simplify 0 into 0
4.610 * [backup-simplify]: Simplify 0 into 0
4.611 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
4.611 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
4.612 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in (phi1 phi2 lambda1 lambda2) around 0
4.612 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2
4.612 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
4.612 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1
4.613 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
4.613 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2
4.614 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
4.614 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1
4.615 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
4.615 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1
4.615 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
4.616 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2
4.616 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
4.616 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1
4.617 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
4.617 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2
4.618 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
4.619 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
4.619 * [taylor]: Taking taylor expansion of 0 in phi2
4.619 * [backup-simplify]: Simplify 0 into 0
4.619 * [taylor]: Taking taylor expansion of 0 in lambda1
4.619 * [backup-simplify]: Simplify 0 into 0
4.619 * [taylor]: Taking taylor expansion of 0 in lambda2
4.619 * [backup-simplify]: Simplify 0 into 0
4.619 * [backup-simplify]: Simplify 0 into 0
4.619 * [taylor]: Taking taylor expansion of 0 in lambda1
4.619 * [backup-simplify]: Simplify 0 into 0
4.619 * [taylor]: Taking taylor expansion of 0 in lambda2
4.619 * [backup-simplify]: Simplify 0 into 0
4.619 * [backup-simplify]: Simplify 0 into 0
4.619 * [taylor]: Taking taylor expansion of 0 in lambda2
4.619 * [backup-simplify]: Simplify 0 into 0
4.619 * [backup-simplify]: Simplify 0 into 0
4.619 * [backup-simplify]: Simplify 0 into 0
4.619 * [taylor]: Taking taylor expansion of 0 in phi2
4.619 * [backup-simplify]: Simplify 0 into 0
4.619 * [taylor]: Taking taylor expansion of 0 in lambda1
4.619 * [backup-simplify]: Simplify 0 into 0
4.619 * [taylor]: Taking taylor expansion of 0 in lambda2
4.619 * [backup-simplify]: Simplify 0 into 0
4.620 * [backup-simplify]: Simplify 0 into 0
4.620 * [taylor]: Taking taylor expansion of 0 in lambda1
4.620 * [backup-simplify]: Simplify 0 into 0
4.620 * [taylor]: Taking taylor expansion of 0 in lambda2
4.620 * [backup-simplify]: Simplify 0 into 0
4.620 * [backup-simplify]: Simplify 0 into 0
4.621 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 (/ 1 phi2))) (* (sin (/ 1 (/ 1 lambda2))) (* (sin (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1)))))) (+ (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1))))))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))
4.621 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))
4.621 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in (phi1 phi2 lambda1 lambda2) around 0
4.622 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda2
4.622 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
4.622 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1
4.623 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
4.623 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi2
4.624 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
4.624 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1
4.625 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
4.625 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1
4.625 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
4.626 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in phi2
4.626 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))
4.627 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1
4.627 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
4.627 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in lambda2
4.628 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))
4.629 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
4.629 * [taylor]: Taking taylor expansion of 0 in phi2
4.629 * [backup-simplify]: Simplify 0 into 0
4.629 * [taylor]: Taking taylor expansion of 0 in lambda1
4.629 * [backup-simplify]: Simplify 0 into 0
4.629 * [taylor]: Taking taylor expansion of 0 in lambda2
4.629 * [backup-simplify]: Simplify 0 into 0
4.629 * [backup-simplify]: Simplify 0 into 0
4.629 * [taylor]: Taking taylor expansion of 0 in lambda1
4.629 * [backup-simplify]: Simplify 0 into 0
4.629 * [taylor]: Taking taylor expansion of 0 in lambda2
4.629 * [backup-simplify]: Simplify 0 into 0
4.629 * [backup-simplify]: Simplify 0 into 0
4.629 * [taylor]: Taking taylor expansion of 0 in lambda2
4.629 * [backup-simplify]: Simplify 0 into 0
4.630 * [backup-simplify]: Simplify 0 into 0
4.630 * [backup-simplify]: Simplify 0 into 0
4.630 * [taylor]: Taking taylor expansion of 0 in phi2
4.630 * [backup-simplify]: Simplify 0 into 0
4.630 * [taylor]: Taking taylor expansion of 0 in lambda1
4.630 * [backup-simplify]: Simplify 0 into 0
4.630 * [taylor]: Taking taylor expansion of 0 in lambda2
4.630 * [backup-simplify]: Simplify 0 into 0
4.630 * [backup-simplify]: Simplify 0 into 0
4.630 * [taylor]: Taking taylor expansion of 0 in lambda1
4.630 * [backup-simplify]: Simplify 0 into 0
4.630 * [taylor]: Taking taylor expansion of 0 in lambda2
4.630 * [backup-simplify]: Simplify 0 into 0
4.630 * [backup-simplify]: Simplify 0 into 0
4.631 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (sin (/ -1 (/ 1 (- lambda2))))))) (+ (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- lambda2)))) (cos (/ -1 (/ 1 (- phi2)))))))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
4.631 * * * * [progress]: [ 2 / 4 ] generating series at (2)
4.632 * [backup-simplify]: Simplify (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
4.632 * [approximate]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in (phi1 phi2 lambda1 lambda2 R) around 0
4.632 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in R
4.632 * [taylor]: Taking taylor expansion of R in R
4.632 * [backup-simplify]: Simplify 0 into 0
4.632 * [backup-simplify]: Simplify 1 into 1
4.632 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in R
4.632 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
4.632 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda2
4.633 * [taylor]: Taking taylor expansion of R in lambda2
4.633 * [backup-simplify]: Simplify R into R
4.633 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2
4.633 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
4.633 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda1
4.633 * [taylor]: Taking taylor expansion of R in lambda1
4.633 * [backup-simplify]: Simplify R into R
4.633 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1
4.634 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
4.634 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi2
4.634 * [taylor]: Taking taylor expansion of R in phi2
4.634 * [backup-simplify]: Simplify R into R
4.634 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2
4.634 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
4.634 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi1
4.635 * [taylor]: Taking taylor expansion of R in phi1
4.635 * [backup-simplify]: Simplify R into R
4.635 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1
4.635 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
4.635 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi1
4.635 * [taylor]: Taking taylor expansion of R in phi1
4.635 * [backup-simplify]: Simplify R into R
4.635 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1
4.636 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
4.636 * [backup-simplify]: Simplify (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
4.637 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi2
4.637 * [taylor]: Taking taylor expansion of R in phi2
4.637 * [backup-simplify]: Simplify R into R
4.637 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2
4.637 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
4.638 * [backup-simplify]: Simplify (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
4.638 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda1
4.638 * [taylor]: Taking taylor expansion of R in lambda1
4.638 * [backup-simplify]: Simplify R into R
4.638 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1
4.638 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
4.639 * [backup-simplify]: Simplify (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
4.639 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda2
4.639 * [taylor]: Taking taylor expansion of R in lambda2
4.639 * [backup-simplify]: Simplify R into R
4.639 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2
4.640 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
4.640 * [backup-simplify]: Simplify (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
4.640 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in R
4.640 * [taylor]: Taking taylor expansion of R in R
4.640 * [backup-simplify]: Simplify 0 into 0
4.640 * [backup-simplify]: Simplify 1 into 1
4.640 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in R
4.641 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
4.641 * [backup-simplify]: Simplify (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into 0
4.641 * [backup-simplify]: Simplify 0 into 0
4.642 * [backup-simplify]: Simplify (+ (* R 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into 0
4.642 * [taylor]: Taking taylor expansion of 0 in phi2
4.642 * [backup-simplify]: Simplify 0 into 0
4.642 * [taylor]: Taking taylor expansion of 0 in lambda1
4.642 * [backup-simplify]: Simplify 0 into 0
4.642 * [taylor]: Taking taylor expansion of 0 in lambda2
4.642 * [backup-simplify]: Simplify 0 into 0
4.642 * [taylor]: Taking taylor expansion of 0 in R
4.642 * [backup-simplify]: Simplify 0 into 0
4.642 * [backup-simplify]: Simplify 0 into 0
4.643 * [backup-simplify]: Simplify (+ (* R 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into 0
4.643 * [taylor]: Taking taylor expansion of 0 in lambda1
4.643 * [backup-simplify]: Simplify 0 into 0
4.643 * [taylor]: Taking taylor expansion of 0 in lambda2
4.643 * [backup-simplify]: Simplify 0 into 0
4.643 * [taylor]: Taking taylor expansion of 0 in R
4.643 * [backup-simplify]: Simplify 0 into 0
4.643 * [backup-simplify]: Simplify 0 into 0
4.644 * [backup-simplify]: Simplify (+ (* R 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into 0
4.644 * [taylor]: Taking taylor expansion of 0 in lambda2
4.644 * [backup-simplify]: Simplify 0 into 0
4.644 * [taylor]: Taking taylor expansion of 0 in R
4.644 * [backup-simplify]: Simplify 0 into 0
4.644 * [backup-simplify]: Simplify 0 into 0
4.645 * [backup-simplify]: Simplify (+ (* R 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into 0
4.645 * [taylor]: Taking taylor expansion of 0 in R
4.645 * [backup-simplify]: Simplify 0 into 0
4.645 * [backup-simplify]: Simplify 0 into 0
4.646 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
4.647 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
5.048 * [backup-simplify]: Simplify (+ (* R 0) (+ (* 0 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))))) into 0
5.048 * [taylor]: Taking taylor expansion of 0 in phi2
5.048 * [backup-simplify]: Simplify 0 into 0
5.048 * [taylor]: Taking taylor expansion of 0 in lambda1
5.048 * [backup-simplify]: Simplify 0 into 0
5.048 * [taylor]: Taking taylor expansion of 0 in lambda2
5.048 * [backup-simplify]: Simplify 0 into 0
5.048 * [taylor]: Taking taylor expansion of 0 in R
5.048 * [backup-simplify]: Simplify 0 into 0
5.048 * [backup-simplify]: Simplify 0 into 0
5.048 * [taylor]: Taking taylor expansion of 0 in lambda1
5.048 * [backup-simplify]: Simplify 0 into 0
5.048 * [taylor]: Taking taylor expansion of 0 in lambda2
5.048 * [backup-simplify]: Simplify 0 into 0
5.048 * [taylor]: Taking taylor expansion of 0 in R
5.049 * [backup-simplify]: Simplify 0 into 0
5.049 * [backup-simplify]: Simplify 0 into 0
5.049 * [backup-simplify]: Simplify (+ (* R 0) (+ (* 0 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))))) into 0
5.049 * [taylor]: Taking taylor expansion of 0 in lambda1
5.049 * [backup-simplify]: Simplify 0 into 0
5.049 * [taylor]: Taking taylor expansion of 0 in lambda2
5.049 * [backup-simplify]: Simplify 0 into 0
5.049 * [taylor]: Taking taylor expansion of 0 in R
5.049 * [backup-simplify]: Simplify 0 into 0
5.050 * [backup-simplify]: Simplify 0 into 0
5.050 * [taylor]: Taking taylor expansion of 0 in lambda2
5.050 * [backup-simplify]: Simplify 0 into 0
5.050 * [taylor]: Taking taylor expansion of 0 in R
5.050 * [backup-simplify]: Simplify 0 into 0
5.050 * [backup-simplify]: Simplify 0 into 0
5.050 * [taylor]: Taking taylor expansion of 0 in lambda2
5.050 * [backup-simplify]: Simplify 0 into 0
5.050 * [taylor]: Taking taylor expansion of 0 in R
5.050 * [backup-simplify]: Simplify 0 into 0
5.050 * [backup-simplify]: Simplify 0 into 0
5.050 * [backup-simplify]: Simplify (+ (* R 0) (+ (* 0 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))))) into 0
5.050 * [taylor]: Taking taylor expansion of 0 in lambda2
5.050 * [backup-simplify]: Simplify 0 into 0
5.050 * [taylor]: Taking taylor expansion of 0 in R
5.050 * [backup-simplify]: Simplify 0 into 0
5.050 * [backup-simplify]: Simplify 0 into 0
5.051 * [backup-simplify]: Simplify (* (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (* R (* 1 (* 1 (* 1 1))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
5.052 * [backup-simplify]: Simplify (* (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))))) (/ 1 R)) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R)
5.052 * [approximate]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0
5.052 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in R
5.052 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in R
5.052 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
5.052 * [taylor]: Taking taylor expansion of R in R
5.052 * [backup-simplify]: Simplify 0 into 0
5.052 * [backup-simplify]: Simplify 1 into 1
5.052 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 1) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
5.053 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in lambda2
5.053 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2
5.053 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
5.053 * [taylor]: Taking taylor expansion of R in lambda2
5.053 * [backup-simplify]: Simplify R into R
5.053 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R)
5.053 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in lambda1
5.053 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1
5.054 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
5.054 * [taylor]: Taking taylor expansion of R in lambda1
5.054 * [backup-simplify]: Simplify R into R
5.054 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R)
5.054 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in phi2
5.054 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2
5.055 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
5.055 * [taylor]: Taking taylor expansion of R in phi2
5.055 * [backup-simplify]: Simplify R into R
5.055 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R)
5.055 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in phi1
5.055 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1
5.056 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
5.056 * [taylor]: Taking taylor expansion of R in phi1
5.056 * [backup-simplify]: Simplify R into R
5.056 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R)
5.056 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in phi1
5.056 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1
5.056 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
5.056 * [taylor]: Taking taylor expansion of R in phi1
5.057 * [backup-simplify]: Simplify R into R
5.057 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R)
5.057 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in phi2
5.057 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2
5.057 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
5.057 * [taylor]: Taking taylor expansion of R in phi2
5.058 * [backup-simplify]: Simplify R into R
5.058 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R)
5.058 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in lambda1
5.058 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1
5.059 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
5.059 * [taylor]: Taking taylor expansion of R in lambda1
5.059 * [backup-simplify]: Simplify R into R
5.059 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R)
5.059 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in lambda2
5.059 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2
5.060 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
5.060 * [taylor]: Taking taylor expansion of R in lambda2
5.060 * [backup-simplify]: Simplify R into R
5.060 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R)
5.060 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in R
5.060 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in R
5.061 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
5.061 * [taylor]: Taking taylor expansion of R in R
5.061 * [backup-simplify]: Simplify 0 into 0
5.061 * [backup-simplify]: Simplify 1 into 1
5.061 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 1) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
5.061 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
5.062 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)))) into 0
5.062 * [taylor]: Taking taylor expansion of 0 in phi2
5.062 * [backup-simplify]: Simplify 0 into 0
5.062 * [taylor]: Taking taylor expansion of 0 in lambda1
5.062 * [backup-simplify]: Simplify 0 into 0
5.062 * [taylor]: Taking taylor expansion of 0 in lambda2
5.062 * [backup-simplify]: Simplify 0 into 0
5.062 * [taylor]: Taking taylor expansion of 0 in R
5.062 * [backup-simplify]: Simplify 0 into 0
5.063 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)))) into 0
5.063 * [taylor]: Taking taylor expansion of 0 in lambda1
5.063 * [backup-simplify]: Simplify 0 into 0
5.063 * [taylor]: Taking taylor expansion of 0 in lambda2
5.063 * [backup-simplify]: Simplify 0 into 0
5.063 * [taylor]: Taking taylor expansion of 0 in R
5.063 * [backup-simplify]: Simplify 0 into 0
5.063 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)))) into 0
5.063 * [taylor]: Taking taylor expansion of 0 in lambda2
5.063 * [backup-simplify]: Simplify 0 into 0
5.063 * [taylor]: Taking taylor expansion of 0 in R
5.063 * [backup-simplify]: Simplify 0 into 0
5.064 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)))) into 0
5.064 * [taylor]: Taking taylor expansion of 0 in R
5.064 * [backup-simplify]: Simplify 0 into 0
5.065 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) (/ 0 1)))) into 0
5.065 * [backup-simplify]: Simplify 0 into 0
5.066 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
5.066 * [taylor]: Taking taylor expansion of 0 in phi2
5.066 * [backup-simplify]: Simplify 0 into 0
5.066 * [taylor]: Taking taylor expansion of 0 in lambda1
5.066 * [backup-simplify]: Simplify 0 into 0
5.066 * [taylor]: Taking taylor expansion of 0 in lambda2
5.066 * [backup-simplify]: Simplify 0 into 0
5.066 * [taylor]: Taking taylor expansion of 0 in R
5.066 * [backup-simplify]: Simplify 0 into 0
5.066 * [taylor]: Taking taylor expansion of 0 in lambda1
5.066 * [backup-simplify]: Simplify 0 into 0
5.066 * [taylor]: Taking taylor expansion of 0 in lambda2
5.066 * [backup-simplify]: Simplify 0 into 0
5.066 * [taylor]: Taking taylor expansion of 0 in R
5.066 * [backup-simplify]: Simplify 0 into 0
5.066 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
5.066 * [taylor]: Taking taylor expansion of 0 in lambda1
5.066 * [backup-simplify]: Simplify 0 into 0
5.067 * [taylor]: Taking taylor expansion of 0 in lambda2
5.067 * [backup-simplify]: Simplify 0 into 0
5.067 * [taylor]: Taking taylor expansion of 0 in R
5.067 * [backup-simplify]: Simplify 0 into 0
5.067 * [taylor]: Taking taylor expansion of 0 in lambda2
5.067 * [backup-simplify]: Simplify 0 into 0
5.067 * [taylor]: Taking taylor expansion of 0 in R
5.067 * [backup-simplify]: Simplify 0 into 0
5.067 * [taylor]: Taking taylor expansion of 0 in lambda2
5.067 * [backup-simplify]: Simplify 0 into 0
5.067 * [taylor]: Taking taylor expansion of 0 in R
5.067 * [backup-simplify]: Simplify 0 into 0
5.067 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
5.067 * [taylor]: Taking taylor expansion of 0 in lambda2
5.067 * [backup-simplify]: Simplify 0 into 0
5.067 * [taylor]: Taking taylor expansion of 0 in R
5.067 * [backup-simplify]: Simplify 0 into 0
5.067 * [taylor]: Taking taylor expansion of 0 in R
5.067 * [backup-simplify]: Simplify 0 into 0
5.067 * [taylor]: Taking taylor expansion of 0 in R
5.067 * [backup-simplify]: Simplify 0 into 0
5.067 * [taylor]: Taking taylor expansion of 0 in R
5.067 * [backup-simplify]: Simplify 0 into 0
5.068 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
5.068 * [taylor]: Taking taylor expansion of 0 in R
5.068 * [backup-simplify]: Simplify 0 into 0
5.068 * [backup-simplify]: Simplify 0 into 0
5.068 * [backup-simplify]: Simplify 0 into 0
5.068 * [backup-simplify]: Simplify 0 into 0
5.068 * [backup-simplify]: Simplify 0 into 0
5.070 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.070 * [backup-simplify]: Simplify 0 into 0
5.071 * [backup-simplify]: Simplify (* (acos (+ (* (cos (/ 1 (/ 1 phi2))) (* (sin (/ 1 (/ 1 lambda2))) (* (sin (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1)))))) (+ (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1))))))))) (* (/ 1 (/ 1 R)) (* 1 (* 1 (* 1 1))))) into (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R)
5.071 * [backup-simplify]: Simplify (* (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) (/ 1 (- R))) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R))
5.071 * [approximate]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in (phi1 phi2 lambda1 lambda2 R) around 0
5.071 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in R
5.071 * [taylor]: Taking taylor expansion of -1 in R
5.071 * [backup-simplify]: Simplify -1 into -1
5.071 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in R
5.071 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in R
5.072 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
5.072 * [taylor]: Taking taylor expansion of R in R
5.072 * [backup-simplify]: Simplify 0 into 0
5.072 * [backup-simplify]: Simplify 1 into 1
5.072 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 1) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))
5.072 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in lambda2
5.072 * [taylor]: Taking taylor expansion of -1 in lambda2
5.072 * [backup-simplify]: Simplify -1 into -1
5.072 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in lambda2
5.072 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda2
5.073 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
5.073 * [taylor]: Taking taylor expansion of R in lambda2
5.073 * [backup-simplify]: Simplify R into R
5.073 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)
5.073 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in lambda1
5.073 * [taylor]: Taking taylor expansion of -1 in lambda1
5.073 * [backup-simplify]: Simplify -1 into -1
5.073 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in lambda1
5.073 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1
5.074 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
5.074 * [taylor]: Taking taylor expansion of R in lambda1
5.074 * [backup-simplify]: Simplify R into R
5.074 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)
5.074 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in phi2
5.074 * [taylor]: Taking taylor expansion of -1 in phi2
5.074 * [backup-simplify]: Simplify -1 into -1
5.074 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in phi2
5.074 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi2
5.075 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
5.075 * [taylor]: Taking taylor expansion of R in phi2
5.075 * [backup-simplify]: Simplify R into R
5.076 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)
5.076 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in phi1
5.076 * [taylor]: Taking taylor expansion of -1 in phi1
5.076 * [backup-simplify]: Simplify -1 into -1
5.076 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in phi1
5.076 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1
5.077 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
5.077 * [taylor]: Taking taylor expansion of R in phi1
5.077 * [backup-simplify]: Simplify R into R
5.077 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)
5.077 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in phi1
5.078 * [taylor]: Taking taylor expansion of -1 in phi1
5.078 * [backup-simplify]: Simplify -1 into -1
5.078 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in phi1
5.078 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1
5.078 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
5.078 * [taylor]: Taking taylor expansion of R in phi1
5.078 * [backup-simplify]: Simplify R into R
5.079 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)
5.080 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R))
5.080 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)) in phi2
5.080 * [taylor]: Taking taylor expansion of -1 in phi2
5.080 * [backup-simplify]: Simplify -1 into -1
5.080 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) in phi2
5.080 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in phi2
5.081 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))
5.081 * [taylor]: Taking taylor expansion of R in phi2
5.081 * [backup-simplify]: Simplify R into R
5.082 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)
5.083 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R))
5.083 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in lambda1
5.083 * [taylor]: Taking taylor expansion of -1 in lambda1
5.083 * [backup-simplify]: Simplify -1 into -1
5.083 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in lambda1
5.083 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1
5.083 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
5.083 * [taylor]: Taking taylor expansion of R in lambda1
5.083 * [backup-simplify]: Simplify R into R
5.084 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)
5.084 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R))
5.084 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)) in lambda2
5.084 * [taylor]: Taking taylor expansion of -1 in lambda2
5.084 * [backup-simplify]: Simplify -1 into -1
5.084 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) in lambda2
5.084 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in lambda2
5.085 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))
5.085 * [taylor]: Taking taylor expansion of R in lambda2
5.085 * [backup-simplify]: Simplify R into R
5.085 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)
5.086 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R))
5.086 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in R
5.086 * [taylor]: Taking taylor expansion of -1 in R
5.086 * [backup-simplify]: Simplify -1 into -1
5.086 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in R
5.086 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in R
5.086 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
5.086 * [taylor]: Taking taylor expansion of R in R
5.086 * [backup-simplify]: Simplify 0 into 0
5.086 * [backup-simplify]: Simplify 1 into 1
5.087 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 1) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))
5.087 * [backup-simplify]: Simplify (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) into (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))))
5.087 * [backup-simplify]: Simplify (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) into (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))))
5.088 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) (/ 0 R)))) into 0
5.089 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R))) into 0
5.089 * [taylor]: Taking taylor expansion of 0 in phi2
5.089 * [backup-simplify]: Simplify 0 into 0
5.089 * [taylor]: Taking taylor expansion of 0 in lambda1
5.089 * [backup-simplify]: Simplify 0 into 0
5.089 * [taylor]: Taking taylor expansion of 0 in lambda2
5.089 * [backup-simplify]: Simplify 0 into 0
5.089 * [taylor]: Taking taylor expansion of 0 in R
5.089 * [backup-simplify]: Simplify 0 into 0
5.089 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) (/ 0 R)))) into 0
5.090 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R))) into 0
5.090 * [taylor]: Taking taylor expansion of 0 in lambda1
5.090 * [backup-simplify]: Simplify 0 into 0
5.090 * [taylor]: Taking taylor expansion of 0 in lambda2
5.090 * [backup-simplify]: Simplify 0 into 0
5.090 * [taylor]: Taking taylor expansion of 0 in R
5.090 * [backup-simplify]: Simplify 0 into 0
5.091 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) (/ 0 R)))) into 0
5.092 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R))) into 0
5.092 * [taylor]: Taking taylor expansion of 0 in lambda2
5.092 * [backup-simplify]: Simplify 0 into 0
5.092 * [taylor]: Taking taylor expansion of 0 in R
5.092 * [backup-simplify]: Simplify 0 into 0
5.092 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) (/ 0 R)))) into 0
5.093 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R))) into 0
5.093 * [taylor]: Taking taylor expansion of 0 in R
5.093 * [backup-simplify]: Simplify 0 into 0
5.094 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) (/ 0 1)))) into 0
5.095 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))))) into 0
5.095 * [backup-simplify]: Simplify 0 into 0
5.095 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
5.096 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)))) into 0
5.096 * [taylor]: Taking taylor expansion of 0 in phi2
5.096 * [backup-simplify]: Simplify 0 into 0
5.096 * [taylor]: Taking taylor expansion of 0 in lambda1
5.096 * [backup-simplify]: Simplify 0 into 0
5.096 * [taylor]: Taking taylor expansion of 0 in lambda2
5.096 * [backup-simplify]: Simplify 0 into 0
5.096 * [taylor]: Taking taylor expansion of 0 in R
5.096 * [backup-simplify]: Simplify 0 into 0
5.097 * [taylor]: Taking taylor expansion of 0 in lambda1
5.097 * [backup-simplify]: Simplify 0 into 0
5.097 * [taylor]: Taking taylor expansion of 0 in lambda2
5.097 * [backup-simplify]: Simplify 0 into 0
5.097 * [taylor]: Taking taylor expansion of 0 in R
5.097 * [backup-simplify]: Simplify 0 into 0
5.097 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
5.098 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)))) into 0
5.098 * [taylor]: Taking taylor expansion of 0 in lambda1
5.098 * [backup-simplify]: Simplify 0 into 0
5.098 * [taylor]: Taking taylor expansion of 0 in lambda2
5.098 * [backup-simplify]: Simplify 0 into 0
5.098 * [taylor]: Taking taylor expansion of 0 in R
5.098 * [backup-simplify]: Simplify 0 into 0
5.098 * [taylor]: Taking taylor expansion of 0 in lambda2
5.098 * [backup-simplify]: Simplify 0 into 0
5.098 * [taylor]: Taking taylor expansion of 0 in R
5.098 * [backup-simplify]: Simplify 0 into 0
5.098 * [taylor]: Taking taylor expansion of 0 in lambda2
5.098 * [backup-simplify]: Simplify 0 into 0
5.098 * [taylor]: Taking taylor expansion of 0 in R
5.098 * [backup-simplify]: Simplify 0 into 0
5.099 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
5.100 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)))) into 0
5.100 * [taylor]: Taking taylor expansion of 0 in lambda2
5.100 * [backup-simplify]: Simplify 0 into 0
5.100 * [taylor]: Taking taylor expansion of 0 in R
5.100 * [backup-simplify]: Simplify 0 into 0
5.100 * [taylor]: Taking taylor expansion of 0 in R
5.100 * [backup-simplify]: Simplify 0 into 0
5.100 * [taylor]: Taking taylor expansion of 0 in R
5.100 * [backup-simplify]: Simplify 0 into 0
5.100 * [taylor]: Taking taylor expansion of 0 in R
5.100 * [backup-simplify]: Simplify 0 into 0
5.101 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
5.102 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)))) into 0
5.102 * [taylor]: Taking taylor expansion of 0 in R
5.102 * [backup-simplify]: Simplify 0 into 0
5.102 * [backup-simplify]: Simplify 0 into 0
5.102 * [backup-simplify]: Simplify 0 into 0
5.102 * [backup-simplify]: Simplify 0 into 0
5.102 * [backup-simplify]: Simplify 0 into 0
5.103 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.104 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))))) into 0
5.104 * [backup-simplify]: Simplify 0 into 0
5.105 * [backup-simplify]: Simplify (* (* -1 (acos (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (sin (/ -1 (/ 1 (- lambda2))))))) (+ (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (cos (/ -1 (/ 1 (- lambda2))))))))))) (* (/ 1 (/ 1 (- R))) (* 1 (* 1 (* 1 1))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
5.105 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1)
5.105 * [backup-simplify]: Simplify (* (sin phi1) (sin phi2)) into (* (sin phi1) (sin phi2))
5.105 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0
5.105 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2
5.105 * [taylor]: Taking taylor expansion of (sin phi1) in phi2
5.105 * [taylor]: Taking taylor expansion of phi1 in phi2
5.105 * [backup-simplify]: Simplify phi1 into phi1
5.105 * [backup-simplify]: Simplify (sin phi1) into (sin phi1)
5.105 * [backup-simplify]: Simplify (cos phi1) into (cos phi1)
5.105 * [taylor]: Taking taylor expansion of (sin phi2) in phi2
5.105 * [taylor]: Taking taylor expansion of phi2 in phi2
5.105 * [backup-simplify]: Simplify 0 into 0
5.105 * [backup-simplify]: Simplify 1 into 1
5.105 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1
5.105 * [taylor]: Taking taylor expansion of (sin phi1) in phi1
5.105 * [taylor]: Taking taylor expansion of phi1 in phi1
5.105 * [backup-simplify]: Simplify 0 into 0
5.105 * [backup-simplify]: Simplify 1 into 1
5.105 * [taylor]: Taking taylor expansion of (sin phi2) in phi1
5.105 * [taylor]: Taking taylor expansion of phi2 in phi1
5.105 * [backup-simplify]: Simplify phi2 into phi2
5.105 * [backup-simplify]: Simplify (sin phi2) into (sin phi2)
5.105 * [backup-simplify]: Simplify (cos phi2) into (cos phi2)
5.105 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1
5.106 * [taylor]: Taking taylor expansion of (sin phi1) in phi1
5.106 * [taylor]: Taking taylor expansion of phi1 in phi1
5.106 * [backup-simplify]: Simplify 0 into 0
5.106 * [backup-simplify]: Simplify 1 into 1
5.106 * [taylor]: Taking taylor expansion of (sin phi2) in phi1
5.106 * [taylor]: Taking taylor expansion of phi2 in phi1
5.106 * [backup-simplify]: Simplify phi2 into phi2
5.106 * [backup-simplify]: Simplify (sin phi2) into (sin phi2)
5.106 * [backup-simplify]: Simplify (cos phi2) into (cos phi2)
5.106 * [backup-simplify]: Simplify (* (sin phi2) 1) into (sin phi2)
5.106 * [backup-simplify]: Simplify (* (cos phi2) 0) into 0
5.106 * [backup-simplify]: Simplify (+ (sin phi2) 0) into (sin phi2)
5.106 * [backup-simplify]: Simplify (* 0 (sin phi2)) into 0
5.106 * [taylor]: Taking taylor expansion of 0 in phi2
5.106 * [backup-simplify]: Simplify 0 into 0
5.106 * [backup-simplify]: Simplify 0 into 0
5.106 * [backup-simplify]: Simplify (+ 0) into 0
5.106 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (* 0 1)) into 0
5.107 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
5.107 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (* 0 0)) into 0
5.107 * [backup-simplify]: Simplify (+ 0 0) into 0
5.108 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
5.108 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin phi2))) into (sin phi2)
5.108 * [taylor]: Taking taylor expansion of (sin phi2) in phi2
5.108 * [taylor]: Taking taylor expansion of phi2 in phi2
5.108 * [backup-simplify]: Simplify 0 into 0
5.108 * [backup-simplify]: Simplify 1 into 1
5.108 * [backup-simplify]: Simplify 0 into 0
5.108 * [backup-simplify]: Simplify 0 into 0
5.109 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
5.109 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (* 0 1))) into 0
5.110 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
5.110 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (* 0 0))) into 0
5.111 * [backup-simplify]: Simplify (+ 0 0) into 0
5.111 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
5.112 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin phi2)))) into 0
5.112 * [taylor]: Taking taylor expansion of 0 in phi2
5.112 * [backup-simplify]: Simplify 0 into 0
5.112 * [backup-simplify]: Simplify 0 into 0
5.113 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
5.113 * [backup-simplify]: Simplify 1 into 1
5.113 * [backup-simplify]: Simplify 0 into 0
5.114 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
5.115 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.116 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
5.117 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
5.118 * [backup-simplify]: Simplify (+ 0 0) into 0
5.119 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
5.120 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* -1/6 (sin phi2))))) into (- (* 1/6 (sin phi2)))
5.120 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2
5.121 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2
5.121 * [taylor]: Taking taylor expansion of 1/6 in phi2
5.121 * [backup-simplify]: Simplify 1/6 into 1/6
5.121 * [taylor]: Taking taylor expansion of (sin phi2) in phi2
5.121 * [taylor]: Taking taylor expansion of phi2 in phi2
5.121 * [backup-simplify]: Simplify 0 into 0
5.121 * [backup-simplify]: Simplify 1 into 1
5.121 * [backup-simplify]: Simplify (* 1/6 0) into 0
5.121 * [backup-simplify]: Simplify (- 0) into 0
5.122 * [backup-simplify]: Simplify 0 into 0
5.122 * [backup-simplify]: Simplify 0 into 0
5.122 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
5.122 * [backup-simplify]: Simplify 0 into 0
5.122 * [backup-simplify]: Simplify 0 into 0
5.125 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0
5.126 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.127 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
5.128 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0
5.128 * [backup-simplify]: Simplify (+ 0 0) into 0
5.130 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
5.131 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* -1/6 0) (* 0 (sin phi2)))))) into 0
5.131 * [taylor]: Taking taylor expansion of 0 in phi2
5.131 * [backup-simplify]: Simplify 0 into 0
5.132 * [backup-simplify]: Simplify 0 into 0
5.132 * [backup-simplify]: Simplify (* 1 (* phi2 phi1)) into (* phi1 phi2)
5.132 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))
5.132 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in (phi1 phi2) around 0
5.132 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi2
5.132 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2
5.132 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2
5.132 * [taylor]: Taking taylor expansion of phi2 in phi2
5.132 * [backup-simplify]: Simplify 0 into 0
5.132 * [backup-simplify]: Simplify 1 into 1
5.132 * [backup-simplify]: Simplify (/ 1 1) into 1
5.132 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2))
5.132 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2
5.132 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2
5.133 * [taylor]: Taking taylor expansion of phi1 in phi2
5.133 * [backup-simplify]: Simplify phi1 into phi1
5.133 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
5.133 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1))
5.133 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1))
5.133 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi1
5.133 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1
5.133 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1
5.133 * [taylor]: Taking taylor expansion of phi2 in phi1
5.133 * [backup-simplify]: Simplify phi2 into phi2
5.133 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
5.133 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2))
5.133 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2))
5.133 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1
5.133 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1
5.133 * [taylor]: Taking taylor expansion of phi1 in phi1
5.133 * [backup-simplify]: Simplify 0 into 0
5.133 * [backup-simplify]: Simplify 1 into 1
5.134 * [backup-simplify]: Simplify (/ 1 1) into 1
5.134 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1))
5.134 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi1
5.134 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1
5.134 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1
5.134 * [taylor]: Taking taylor expansion of phi2 in phi1
5.134 * [backup-simplify]: Simplify phi2 into phi2
5.134 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
5.134 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2))
5.134 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2))
5.134 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1
5.134 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1
5.134 * [taylor]: Taking taylor expansion of phi1 in phi1
5.134 * [backup-simplify]: Simplify 0 into 0
5.134 * [backup-simplify]: Simplify 1 into 1
5.134 * [backup-simplify]: Simplify (/ 1 1) into 1
5.135 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1))
5.135 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) 1) into (sin (/ 1 phi2))
5.135 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) 0) into 0
5.135 * [backup-simplify]: Simplify (+ (sin (/ 1 phi2)) 0) into (sin (/ 1 phi2))
5.135 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))
5.135 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi2
5.135 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2
5.135 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2
5.135 * [taylor]: Taking taylor expansion of phi2 in phi2
5.135 * [backup-simplify]: Simplify 0 into 0
5.135 * [backup-simplify]: Simplify 1 into 1
5.135 * [backup-simplify]: Simplify (/ 1 1) into 1
5.135 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2))
5.135 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2
5.135 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2
5.135 * [taylor]: Taking taylor expansion of phi1 in phi2
5.135 * [backup-simplify]: Simplify phi1 into phi1
5.135 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
5.135 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1))
5.135 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1))
5.135 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) 1) into (sin (/ 1 phi1))
5.136 * [backup-simplify]: Simplify (* (cos (/ 1 phi1)) 0) into 0
5.136 * [backup-simplify]: Simplify (+ (sin (/ 1 phi1)) 0) into (sin (/ 1 phi1))
5.136 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))
5.136 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))
5.140 * [backup-simplify]: Simplify (+ 0) into 0
5.140 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 1)) into 0
5.140 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
5.141 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
5.141 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 0)) into 0
5.141 * [backup-simplify]: Simplify (+ 0 0) into 0
5.142 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 (sin (/ 1 phi1)))) into 0
5.142 * [taylor]: Taking taylor expansion of 0 in phi2
5.142 * [backup-simplify]: Simplify 0 into 0
5.142 * [backup-simplify]: Simplify 0 into 0
5.142 * [backup-simplify]: Simplify (+ 0) into 0
5.142 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 1)) into 0
5.142 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
5.143 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
5.143 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (* 0 0)) into 0
5.143 * [backup-simplify]: Simplify (+ 0 0) into 0
5.143 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 (sin (/ 1 phi1)))) into 0
5.144 * [backup-simplify]: Simplify 0 into 0
5.144 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
5.144 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0
5.145 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
5.145 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
5.145 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0
5.146 * [backup-simplify]: Simplify (+ 0 0) into 0
5.146 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1))))) into 0
5.146 * [taylor]: Taking taylor expansion of 0 in phi2
5.146 * [backup-simplify]: Simplify 0 into 0
5.146 * [backup-simplify]: Simplify 0 into 0
5.146 * [backup-simplify]: Simplify 0 into 0
5.147 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
5.147 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0
5.147 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0
5.148 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
5.148 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0
5.148 * [backup-simplify]: Simplify (+ 0 0) into 0
5.149 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1))))) into 0
5.149 * [backup-simplify]: Simplify 0 into 0
5.149 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
5.150 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.150 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
5.151 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
5.151 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
5.151 * [backup-simplify]: Simplify (+ 0 0) into 0
5.152 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1)))))) into 0
5.152 * [taylor]: Taking taylor expansion of 0 in phi2
5.152 * [backup-simplify]: Simplify 0 into 0
5.152 * [backup-simplify]: Simplify 0 into 0
5.152 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) into (* (sin phi1) (sin phi2))
5.152 * [backup-simplify]: Simplify (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))
5.152 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0
5.152 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2
5.152 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2
5.152 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2
5.152 * [taylor]: Taking taylor expansion of -1 in phi2
5.152 * [backup-simplify]: Simplify -1 into -1
5.152 * [taylor]: Taking taylor expansion of phi1 in phi2
5.152 * [backup-simplify]: Simplify phi1 into phi1
5.152 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1)
5.152 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1))
5.152 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1))
5.152 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2
5.152 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2
5.152 * [taylor]: Taking taylor expansion of -1 in phi2
5.152 * [backup-simplify]: Simplify -1 into -1
5.152 * [taylor]: Taking taylor expansion of phi2 in phi2
5.152 * [backup-simplify]: Simplify 0 into 0
5.152 * [backup-simplify]: Simplify 1 into 1
5.153 * [backup-simplify]: Simplify (/ -1 1) into -1
5.153 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2))
5.153 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1
5.153 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1
5.153 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1
5.153 * [taylor]: Taking taylor expansion of -1 in phi1
5.153 * [backup-simplify]: Simplify -1 into -1
5.153 * [taylor]: Taking taylor expansion of phi1 in phi1
5.153 * [backup-simplify]: Simplify 0 into 0
5.153 * [backup-simplify]: Simplify 1 into 1
5.153 * [backup-simplify]: Simplify (/ -1 1) into -1
5.153 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1))
5.153 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1
5.153 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1
5.153 * [taylor]: Taking taylor expansion of -1 in phi1
5.153 * [backup-simplify]: Simplify -1 into -1
5.153 * [taylor]: Taking taylor expansion of phi2 in phi1
5.153 * [backup-simplify]: Simplify phi2 into phi2
5.153 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2)
5.153 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2))
5.154 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2))
5.154 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1
5.154 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1
5.154 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1
5.154 * [taylor]: Taking taylor expansion of -1 in phi1
5.154 * [backup-simplify]: Simplify -1 into -1
5.154 * [taylor]: Taking taylor expansion of phi1 in phi1
5.154 * [backup-simplify]: Simplify 0 into 0
5.154 * [backup-simplify]: Simplify 1 into 1
5.154 * [backup-simplify]: Simplify (/ -1 1) into -1
5.154 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1))
5.154 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1
5.154 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1
5.154 * [taylor]: Taking taylor expansion of -1 in phi1
5.154 * [backup-simplify]: Simplify -1 into -1
5.154 * [taylor]: Taking taylor expansion of phi2 in phi1
5.154 * [backup-simplify]: Simplify phi2 into phi2
5.154 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2)
5.154 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2))
5.154 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2))
5.154 * [backup-simplify]: Simplify (* (sin (/ -1 phi2)) 1) into (sin (/ -1 phi2))
5.154 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) 0) into 0
5.154 * [backup-simplify]: Simplify (+ (sin (/ -1 phi2)) 0) into (sin (/ -1 phi2))
5.154 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))
5.155 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2
5.155 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2
5.155 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2
5.155 * [taylor]: Taking taylor expansion of -1 in phi2
5.155 * [backup-simplify]: Simplify -1 into -1
5.155 * [taylor]: Taking taylor expansion of phi1 in phi2
5.155 * [backup-simplify]: Simplify phi1 into phi1
5.155 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1)
5.155 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1))
5.155 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1))
5.155 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2
5.155 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2
5.155 * [taylor]: Taking taylor expansion of -1 in phi2
5.155 * [backup-simplify]: Simplify -1 into -1
5.155 * [taylor]: Taking taylor expansion of phi2 in phi2
5.155 * [backup-simplify]: Simplify 0 into 0
5.155 * [backup-simplify]: Simplify 1 into 1
5.155 * [backup-simplify]: Simplify (/ -1 1) into -1
5.155 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2))
5.155 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) 1) into (sin (/ -1 phi1))
5.155 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) 0) into 0
5.155 * [backup-simplify]: Simplify (+ (sin (/ -1 phi1)) 0) into (sin (/ -1 phi1))
5.155 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))
5.155 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))
5.156 * [backup-simplify]: Simplify (+ 0) into 0
5.156 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (* 0 1)) into 0
5.156 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)))) into 0
5.157 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
5.157 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 0)) into 0
5.157 * [backup-simplify]: Simplify (+ 0 0) into 0
5.157 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) into 0
5.157 * [taylor]: Taking taylor expansion of 0 in phi2
5.157 * [backup-simplify]: Simplify 0 into 0
5.157 * [backup-simplify]: Simplify 0 into 0
5.158 * [backup-simplify]: Simplify (+ 0) into 0
5.158 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 1)) into 0
5.158 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)))) into 0
5.159 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
5.159 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 0)) into 0
5.159 * [backup-simplify]: Simplify (+ 0 0) into 0
5.159 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) into 0
5.159 * [backup-simplify]: Simplify 0 into 0
5.160 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
5.160 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0
5.161 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
5.161 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
5.161 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0
5.162 * [backup-simplify]: Simplify (+ 0 0) into 0
5.162 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0
5.162 * [taylor]: Taking taylor expansion of 0 in phi2
5.162 * [backup-simplify]: Simplify 0 into 0
5.162 * [backup-simplify]: Simplify 0 into 0
5.162 * [backup-simplify]: Simplify 0 into 0
5.163 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
5.163 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0
5.163 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0
5.164 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
5.164 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0
5.164 * [backup-simplify]: Simplify (+ 0 0) into 0
5.165 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0
5.165 * [backup-simplify]: Simplify 0 into 0
5.165 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
5.166 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.166 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
5.167 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
5.167 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
5.167 * [backup-simplify]: Simplify (+ 0 0) into 0
5.168 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2)))))) into 0
5.168 * [taylor]: Taking taylor expansion of 0 in phi2
5.168 * [backup-simplify]: Simplify 0 into 0
5.168 * [backup-simplify]: Simplify 0 into 0
5.168 * [backup-simplify]: Simplify (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) into (* (sin phi1) (sin phi2))
5.168 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2)
5.168 * [backup-simplify]: Simplify (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) into (* (cos phi1) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)))
5.168 * [approximate]: Taking taylor expansion of (* (cos phi1) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2))) in (phi1 phi2 lambda1 lambda2) around 0
5.168 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2))) in lambda2
5.169 * [taylor]: Taking taylor expansion of (cos phi1) in lambda2
5.169 * [taylor]: Taking taylor expansion of phi1 in lambda2
5.169 * [backup-simplify]: Simplify phi1 into phi1
5.169 * [backup-simplify]: Simplify (cos phi1) into (cos phi1)
5.169 * [backup-simplify]: Simplify (sin phi1) into (sin phi1)
5.169 * [taylor]: Taking taylor expansion of (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) in lambda2
5.169 * [taylor]: Taking taylor expansion of (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) in lambda2
5.169 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda2
5.169 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2
5.169 * [taylor]: Taking taylor expansion of lambda1 in lambda2
5.169 * [backup-simplify]: Simplify lambda1 into lambda1
5.169 * [backup-simplify]: Simplify (sin lambda1) into (sin lambda1)
5.169 * [backup-simplify]: Simplify (cos lambda1) into (cos lambda1)
5.169 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2
5.169 * [taylor]: Taking taylor expansion of lambda2 in lambda2
5.169 * [backup-simplify]: Simplify 0 into 0
5.169 * [backup-simplify]: Simplify 1 into 1
5.169 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in lambda2
5.169 * [taylor]: Taking taylor expansion of (cos lambda1) in lambda2
5.169 * [taylor]: Taking taylor expansion of lambda1 in lambda2
5.169 * [backup-simplify]: Simplify lambda1 into lambda1
5.169 * [backup-simplify]: Simplify (cos lambda1) into (cos lambda1)
5.169 * [backup-simplify]: Simplify (sin lambda1) into (sin lambda1)
5.169 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda2
5.169 * [taylor]: Taking taylor expansion of lambda2 in lambda2
5.169 * [backup-simplify]: Simplify 0 into 0
5.169 * [backup-simplify]: Simplify 1 into 1
5.169 * [taylor]: Taking taylor expansion of (cos phi2) in lambda2
5.169 * [taylor]: Taking taylor expansion of phi2 in lambda2
5.169 * [backup-simplify]: Simplify phi2 into phi2
5.169 * [backup-simplify]: Simplify (cos phi2) into (cos phi2)
5.169 * [backup-simplify]: Simplify (sin phi2) into (sin phi2)
5.169 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2))) in lambda1
5.169 * [taylor]: Taking taylor expansion of (cos phi1) in lambda1
5.169 * [taylor]: Taking taylor expansion of phi1 in lambda1
5.169 * [backup-simplify]: Simplify phi1 into phi1
5.169 * [backup-simplify]: Simplify (cos phi1) into (cos phi1)
5.169 * [backup-simplify]: Simplify (sin phi1) into (sin phi1)
5.169 * [taylor]: Taking taylor expansion of (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) in lambda1
5.169 * [taylor]: Taking taylor expansion of (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) in lambda1
5.169 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1
5.169 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1
5.169 * [taylor]: Taking taylor expansion of lambda1 in lambda1
5.169 * [backup-simplify]: Simplify 0 into 0
5.169 * [backup-simplify]: Simplify 1 into 1
5.169 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1
5.169 * [taylor]: Taking taylor expansion of lambda2 in lambda1
5.169 * [backup-simplify]: Simplify lambda2 into lambda2
5.169 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2)
5.169 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2)
5.169 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in lambda1
5.169 * [taylor]: Taking taylor expansion of (cos lambda1) in lambda1
5.169 * [taylor]: Taking taylor expansion of lambda1 in lambda1
5.169 * [backup-simplify]: Simplify 0 into 0
5.170 * [backup-simplify]: Simplify 1 into 1
5.170 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda1
5.170 * [taylor]: Taking taylor expansion of lambda2 in lambda1
5.170 * [backup-simplify]: Simplify lambda2 into lambda2
5.170 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2)
5.170 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2)
5.170 * [taylor]: Taking taylor expansion of (cos phi2) in lambda1
5.170 * [taylor]: Taking taylor expansion of phi2 in lambda1
5.170 * [backup-simplify]: Simplify phi2 into phi2
5.170 * [backup-simplify]: Simplify (cos phi2) into (cos phi2)
5.170 * [backup-simplify]: Simplify (sin phi2) into (sin phi2)
5.170 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2))) in phi2
5.170 * [taylor]: Taking taylor expansion of (cos phi1) in phi2
5.170 * [taylor]: Taking taylor expansion of phi1 in phi2
5.170 * [backup-simplify]: Simplify phi1 into phi1
5.170 * [backup-simplify]: Simplify (cos phi1) into (cos phi1)
5.170 * [backup-simplify]: Simplify (sin phi1) into (sin phi1)
5.170 * [taylor]: Taking taylor expansion of (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) in phi2
5.170 * [taylor]: Taking taylor expansion of (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) in phi2
5.170 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in phi2
5.170 * [taylor]: Taking taylor expansion of (sin lambda1) in phi2
5.170 * [taylor]: Taking taylor expansion of lambda1 in phi2
5.170 * [backup-simplify]: Simplify lambda1 into lambda1
5.170 * [backup-simplify]: Simplify (sin lambda1) into (sin lambda1)
5.170 * [backup-simplify]: Simplify (cos lambda1) into (cos lambda1)
5.170 * [taylor]: Taking taylor expansion of (sin lambda2) in phi2
5.170 * [taylor]: Taking taylor expansion of lambda2 in phi2
5.170 * [backup-simplify]: Simplify lambda2 into lambda2
5.170 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2)
5.170 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2)
5.170 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in phi2
5.170 * [taylor]: Taking taylor expansion of (cos lambda1) in phi2
5.170 * [taylor]: Taking taylor expansion of lambda1 in phi2
5.170 * [backup-simplify]: Simplify lambda1 into lambda1
5.170 * [backup-simplify]: Simplify (cos lambda1) into (cos lambda1)
5.170 * [backup-simplify]: Simplify (sin lambda1) into (sin lambda1)
5.170 * [taylor]: Taking taylor expansion of (cos lambda2) in phi2
5.170 * [taylor]: Taking taylor expansion of lambda2 in phi2
5.170 * [backup-simplify]: Simplify lambda2 into lambda2
5.170 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2)
5.170 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2)
5.170 * [taylor]: Taking taylor expansion of (cos phi2) in phi2
5.170 * [taylor]: Taking taylor expansion of phi2 in phi2
5.170 * [backup-simplify]: Simplify 0 into 0
5.170 * [backup-simplify]: Simplify 1 into 1
5.170 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2))) in phi1
5.170 * [taylor]: Taking taylor expansion of (cos phi1) in phi1
5.170 * [taylor]: Taking taylor expansion of phi1 in phi1
5.170 * [backup-simplify]: Simplify 0 into 0
5.170 * [backup-simplify]: Simplify 1 into 1
5.170 * [taylor]: Taking taylor expansion of (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) in phi1
5.170 * [taylor]: Taking taylor expansion of (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) in phi1
5.170 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in phi1
5.170 * [taylor]: Taking taylor expansion of (sin lambda1) in phi1
5.170 * [taylor]: Taking taylor expansion of lambda1 in phi1
5.171 * [backup-simplify]: Simplify lambda1 into lambda1
5.171 * [backup-simplify]: Simplify (sin lambda1) into (sin lambda1)
5.171 * [backup-simplify]: Simplify (cos lambda1) into (cos lambda1)
5.171 * [taylor]: Taking taylor expansion of (sin lambda2) in phi1
5.171 * [taylor]: Taking taylor expansion of lambda2 in phi1
5.171 * [backup-simplify]: Simplify lambda2 into lambda2
5.171 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2)
5.171 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2)
5.171 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in phi1
5.171 * [taylor]: Taking taylor expansion of (cos lambda1) in phi1
5.171 * [taylor]: Taking taylor expansion of lambda1 in phi1
5.171 * [backup-simplify]: Simplify lambda1 into lambda1
5.171 * [backup-simplify]: Simplify (cos lambda1) into (cos lambda1)
5.171 * [backup-simplify]: Simplify (sin lambda1) into (sin lambda1)
5.171 * [taylor]: Taking taylor expansion of (cos lambda2) in phi1
5.171 * [taylor]: Taking taylor expansion of lambda2 in phi1
5.171 * [backup-simplify]: Simplify lambda2 into lambda2
5.171 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2)
5.171 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2)
5.171 * [taylor]: Taking taylor expansion of (cos phi2) in phi1
5.171 * [taylor]: Taking taylor expansion of phi2 in phi1
5.171 * [backup-simplify]: Simplify phi2 into phi2
5.171 * [backup-simplify]: Simplify (cos phi2) into (cos phi2)
5.171 * [backup-simplify]: Simplify (sin phi2) into (sin phi2)
5.171 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2))) in phi1
5.171 * [taylor]: Taking taylor expansion of (cos phi1) in phi1
5.171 * [taylor]: Taking taylor expansion of phi1 in phi1
5.171 * [backup-simplify]: Simplify 0 into 0
5.171 * [backup-simplify]: Simplify 1 into 1
5.171 * [taylor]: Taking taylor expansion of (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) in phi1
5.171 * [taylor]: Taking taylor expansion of (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) in phi1
5.171 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in phi1
5.171 * [taylor]: Taking taylor expansion of (sin lambda1) in phi1
5.171 * [taylor]: Taking taylor expansion of lambda1 in phi1
5.171 * [backup-simplify]: Simplify lambda1 into lambda1
5.171 * [backup-simplify]: Simplify (sin lambda1) into (sin lambda1)
5.171 * [backup-simplify]: Simplify (cos lambda1) into (cos lambda1)
5.171 * [taylor]: Taking taylor expansion of (sin lambda2) in phi1
5.171 * [taylor]: Taking taylor expansion of lambda2 in phi1
5.171 * [backup-simplify]: Simplify lambda2 into lambda2
5.171 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2)
5.171 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2)
5.171 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in phi1
5.171 * [taylor]: Taking taylor expansion of (cos lambda1) in phi1
5.171 * [taylor]: Taking taylor expansion of lambda1 in phi1
5.171 * [backup-simplify]: Simplify lambda1 into lambda1
5.171 * [backup-simplify]: Simplify (cos lambda1) into (cos lambda1)
5.171 * [backup-simplify]: Simplify (sin lambda1) into (sin lambda1)
5.171 * [taylor]: Taking taylor expansion of (cos lambda2) in phi1
5.171 * [taylor]: Taking taylor expansion of lambda2 in phi1
5.171 * [backup-simplify]: Simplify lambda2 into lambda2
5.172 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2)
5.172 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2)
5.172 * [taylor]: Taking taylor expansion of (cos phi2) in phi1
5.172 * [taylor]: Taking taylor expansion of phi2 in phi1
5.172 * [backup-simplify]: Simplify phi2 into phi2
5.172 * [backup-simplify]: Simplify (cos phi2) into (cos phi2)
5.172 * [backup-simplify]: Simplify (sin phi2) into (sin phi2)
5.172 * [backup-simplify]: Simplify (* (sin lambda1) 1) into (sin lambda1)
5.172 * [backup-simplify]: Simplify (* (cos lambda1) 0) into 0
5.172 * [backup-simplify]: Simplify (+ (sin lambda1) 0) into (sin lambda1)
5.172 * [backup-simplify]: Simplify (* (sin lambda2) 1) into (sin lambda2)
5.172 * [backup-simplify]: Simplify (* (cos lambda2) 0) into 0
5.172 * [backup-simplify]: Simplify (+ (sin lambda2) 0) into (sin lambda2)
5.172 * [backup-simplify]: Simplify (* (sin lambda1) (sin lambda2)) into (* (sin lambda1) (sin lambda2))
5.172 * [backup-simplify]: Simplify (* (cos lambda1) 1) into (cos lambda1)
5.172 * [backup-simplify]: Simplify (* (sin lambda1) 0) into 0
5.172 * [backup-simplify]: Simplify (- 0) into 0
5.172 * [backup-simplify]: Simplify (+ (cos lambda1) 0) into (cos lambda1)
5.173 * [backup-simplify]: Simplify (* (cos lambda2) 1) into (cos lambda2)
5.173 * [backup-simplify]: Simplify (* (sin lambda2) 0) into 0
5.173 * [backup-simplify]: Simplify (- 0) into 0
5.173 * [backup-simplify]: Simplify (+ (cos lambda2) 0) into (cos lambda2)
5.173 * [backup-simplify]: Simplify (* (cos lambda1) (cos lambda2)) into (* (cos lambda1) (cos lambda2))
5.173 * [backup-simplify]: Simplify (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) into (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))
5.173 * [backup-simplify]: Simplify (* (cos phi2) 1) into (cos phi2)
5.173 * [backup-simplify]: Simplify (* (sin phi2) 0) into 0
5.173 * [backup-simplify]: Simplify (- 0) into 0
5.173 * [backup-simplify]: Simplify (+ (cos phi2) 0) into (cos phi2)
5.173 * [backup-simplify]: Simplify (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) into (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2))
5.174 * [backup-simplify]: Simplify (* 1 (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2))) into (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2))
5.174 * [taylor]: Taking taylor expansion of (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) in phi2
5.174 * [taylor]: Taking taylor expansion of (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) in phi2
5.174 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in phi2
5.174 * [taylor]: Taking taylor expansion of (sin lambda1) in phi2
5.174 * [taylor]: Taking taylor expansion of lambda1 in phi2
5.174 * [backup-simplify]: Simplify lambda1 into lambda1
5.174 * [backup-simplify]: Simplify (sin lambda1) into (sin lambda1)
5.174 * [backup-simplify]: Simplify (cos lambda1) into (cos lambda1)
5.174 * [taylor]: Taking taylor expansion of (sin lambda2) in phi2
5.174 * [taylor]: Taking taylor expansion of lambda2 in phi2
5.174 * [backup-simplify]: Simplify lambda2 into lambda2
5.174 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2)
5.174 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2)
5.174 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in phi2
5.174 * [taylor]: Taking taylor expansion of (cos lambda1) in phi2
5.174 * [taylor]: Taking taylor expansion of lambda1 in phi2
5.174 * [backup-simplify]: Simplify lambda1 into lambda1
5.174 * [backup-simplify]: Simplify (cos lambda1) into (cos lambda1)
5.174 * [backup-simplify]: Simplify (sin lambda1) into (sin lambda1)
5.174 * [taylor]: Taking taylor expansion of (cos lambda2) in phi2
5.174 * [taylor]: Taking taylor expansion of lambda2 in phi2
5.174 * [backup-simplify]: Simplify lambda2 into lambda2
5.174 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2)
5.174 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2)
5.174 * [taylor]: Taking taylor expansion of (cos phi2) in phi2
5.174 * [taylor]: Taking taylor expansion of phi2 in phi2
5.174 * [backup-simplify]: Simplify 0 into 0
5.174 * [backup-simplify]: Simplify 1 into 1
5.174 * [backup-simplify]: Simplify (* (sin lambda1) 1) into (sin lambda1)
5.174 * [backup-simplify]: Simplify (* (cos lambda1) 0) into 0
5.174 * [backup-simplify]: Simplify (+ (sin lambda1) 0) into (sin lambda1)
5.174 * [backup-simplify]: Simplify (* (sin lambda2) 1) into (sin lambda2)
5.174 * [backup-simplify]: Simplify (* (cos lambda2) 0) into 0
5.174 * [backup-simplify]: Simplify (+ (sin lambda2) 0) into (sin lambda2)
5.174 * [backup-simplify]: Simplify (* (sin lambda1) (sin lambda2)) into (* (sin lambda1) (sin lambda2))
5.174 * [backup-simplify]: Simplify (* (cos lambda1) 1) into (cos lambda1)
5.175 * [backup-simplify]: Simplify (* (sin lambda1) 0) into 0
5.175 * [backup-simplify]: Simplify (- 0) into 0
5.175 * [backup-simplify]: Simplify (+ (cos lambda1) 0) into (cos lambda1)
5.175 * [backup-simplify]: Simplify (* (cos lambda2) 1) into (cos lambda2)
5.175 * [backup-simplify]: Simplify (* (sin lambda2) 0) into 0
5.175 * [backup-simplify]: Simplify (- 0) into 0
5.175 * [backup-simplify]: Simplify (+ (cos lambda2) 0) into (cos lambda2)
5.175 * [backup-simplify]: Simplify (* (cos lambda1) (cos lambda2)) into (* (cos lambda1) (cos lambda2))
5.175 * [backup-simplify]: Simplify (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) into (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))
5.175 * [backup-simplify]: Simplify (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) 1) into (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))
5.175 * [taylor]: Taking taylor expansion of (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) in lambda1
5.175 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1
5.175 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1
5.176 * [taylor]: Taking taylor expansion of lambda1 in lambda1
5.176 * [backup-simplify]: Simplify 0 into 0
5.176 * [backup-simplify]: Simplify 1 into 1
5.176 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1
5.176 * [taylor]: Taking taylor expansion of lambda2 in lambda1
5.176 * [backup-simplify]: Simplify lambda2 into lambda2
5.176 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2)
5.176 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2)
5.176 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in lambda1
5.176 * [taylor]: Taking taylor expansion of (cos lambda1) in lambda1
5.176 * [taylor]: Taking taylor expansion of lambda1 in lambda1
5.176 * [backup-simplify]: Simplify 0 into 0
5.176 * [backup-simplify]: Simplify 1 into 1
5.176 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda1
5.176 * [taylor]: Taking taylor expansion of lambda2 in lambda1
5.176 * [backup-simplify]: Simplify lambda2 into lambda2
5.176 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2)
5.176 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2)
5.176 * [backup-simplify]: Simplify (* (sin lambda2) 1) into (sin lambda2)
5.176 * [backup-simplify]: Simplify (* (cos lambda2) 0) into 0
5.176 * [backup-simplify]: Simplify (+ (sin lambda2) 0) into (sin lambda2)
5.176 * [backup-simplify]: Simplify (* 0 (sin lambda2)) into 0
5.176 * [backup-simplify]: Simplify (* (cos lambda2) 1) into (cos lambda2)
5.176 * [backup-simplify]: Simplify (* (sin lambda2) 0) into 0
5.176 * [backup-simplify]: Simplify (- 0) into 0
5.176 * [backup-simplify]: Simplify (+ (cos lambda2) 0) into (cos lambda2)
5.176 * [backup-simplify]: Simplify (* 1 (cos lambda2)) into (cos lambda2)
5.176 * [backup-simplify]: Simplify (+ 0 (cos lambda2)) into (cos lambda2)
5.176 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda2
5.176 * [taylor]: Taking taylor expansion of lambda2 in lambda2
5.176 * [backup-simplify]: Simplify 0 into 0
5.176 * [backup-simplify]: Simplify 1 into 1
5.177 * [backup-simplify]: Simplify 1 into 1
5.177 * [backup-simplify]: Simplify (+ 0) into 0
5.177 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (* 0 1)) into 0
5.178 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
5.178 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (* 0 0)) into 0
5.178 * [backup-simplify]: Simplify (- 0) into 0
5.178 * [backup-simplify]: Simplify (+ 0 0) into 0
5.179 * [backup-simplify]: Simplify (+ 0) into 0
5.179 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (* 0 1)) into 0
5.180 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
5.180 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (* 0 0)) into 0
5.181 * [backup-simplify]: Simplify (+ 0 0) into 0
5.181 * [backup-simplify]: Simplify (+ 0) into 0
5.182 * [backup-simplify]: Simplify (+ (* (sin lambda1) 0) (* 0 1)) into 0
5.182 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
5.183 * [backup-simplify]: Simplify (+ (* (cos lambda1) 0) (* 0 0)) into 0
5.183 * [backup-simplify]: Simplify (+ 0 0) into 0
5.183 * [backup-simplify]: Simplify (+ (* (sin lambda1) 0) (* 0 (sin lambda2))) into 0
5.184 * [backup-simplify]: Simplify (+ 0) into 0
5.184 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (* 0 1)) into 0
5.185 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
5.185 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (* 0 0)) into 0
5.186 * [backup-simplify]: Simplify (- 0) into 0
5.186 * [backup-simplify]: Simplify (+ 0 0) into 0
5.186 * [backup-simplify]: Simplify (+ 0) into 0
5.187 * [backup-simplify]: Simplify (+ (* (cos lambda1) 0) (* 0 1)) into 0
5.188 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
5.188 * [backup-simplify]: Simplify (+ (* (sin lambda1) 0) (* 0 0)) into 0
5.188 * [backup-simplify]: Simplify (- 0) into 0
5.189 * [backup-simplify]: Simplify (+ 0 0) into 0
5.189 * [backup-simplify]: Simplify (+ (* (cos lambda1) 0) (* 0 (cos lambda2))) into 0
5.189 * [backup-simplify]: Simplify (+ 0 0) into 0
5.190 * [backup-simplify]: Simplify (+ (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) 0) (* 0 (cos phi2))) into 0
5.190 * [backup-simplify]: Simplify (+ 0) into 0
5.191 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)))) into 0
5.191 * [taylor]: Taking taylor expansion of 0 in phi2
5.191 * [backup-simplify]: Simplify 0 into 0
5.191 * [taylor]: Taking taylor expansion of 0 in lambda1
5.191 * [backup-simplify]: Simplify 0 into 0
5.191 * [taylor]: Taking taylor expansion of 0 in lambda2
5.191 * [backup-simplify]: Simplify 0 into 0
5.191 * [backup-simplify]: Simplify 0 into 0
5.191 * [backup-simplify]: Simplify (+ 0) into 0
5.192 * [backup-simplify]: Simplify (+ 0) into 0
5.192 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (* 0 1)) into 0
5.193 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
5.193 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (* 0 0)) into 0
5.194 * [backup-simplify]: Simplify (+ 0 0) into 0
5.194 * [backup-simplify]: Simplify (+ 0) into 0
5.195 * [backup-simplify]: Simplify (+ (* (sin lambda1) 0) (* 0 1)) into 0
5.195 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
5.196 * [backup-simplify]: Simplify (+ (* (cos lambda1) 0) (* 0 0)) into 0
5.196 * [backup-simplify]: Simplify (+ 0 0) into 0
5.196 * [backup-simplify]: Simplify (+ (* (sin lambda1) 0) (* 0 (sin lambda2))) into 0
5.197 * [backup-simplify]: Simplify (+ 0) into 0
5.197 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (* 0 1)) into 0
5.198 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
5.198 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (* 0 0)) into 0
5.199 * [backup-simplify]: Simplify (- 0) into 0
5.199 * [backup-simplify]: Simplify (+ 0 0) into 0
5.199 * [backup-simplify]: Simplify (+ 0) into 0
5.200 * [backup-simplify]: Simplify (+ (* (cos lambda1) 0) (* 0 1)) into 0
5.201 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
5.201 * [backup-simplify]: Simplify (+ (* (sin lambda1) 0) (* 0 0)) into 0
5.202 * [backup-simplify]: Simplify (- 0) into 0
5.202 * [backup-simplify]: Simplify (+ 0 0) into 0
5.202 * [backup-simplify]: Simplify (+ (* (cos lambda1) 0) (* 0 (cos lambda2))) into 0
5.203 * [backup-simplify]: Simplify (+ 0 0) into 0
5.203 * [backup-simplify]: Simplify (+ (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) 0) (* 0 1)) into 0
5.203 * [taylor]: Taking taylor expansion of 0 in lambda1
5.203 * [backup-simplify]: Simplify 0 into 0
5.203 * [taylor]: Taking taylor expansion of 0 in lambda2
5.203 * [backup-simplify]: Simplify 0 into 0
5.203 * [backup-simplify]: Simplify 0 into 0
5.204 * [backup-simplify]: Simplify (+ 0) into 0
5.204 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (* 0 1)) into 0
5.205 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
5.206 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (* 0 0)) into 0
5.206 * [backup-simplify]: Simplify (+ 0 0) into 0
5.207 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
5.207 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin lambda2))) into (sin lambda2)
5.207 * [backup-simplify]: Simplify (+ 0) into 0
5.208 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (* 0 1)) into 0
5.209 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
5.209 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (* 0 0)) into 0
5.210 * [backup-simplify]: Simplify (- 0) into 0
5.210 * [backup-simplify]: Simplify (+ 0 0) into 0
5.210 * [backup-simplify]: Simplify (+ 0) into 0
5.211 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (cos lambda2))) into 0
5.211 * [backup-simplify]: Simplify (+ (sin lambda2) 0) into (sin lambda2)
5.211 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2
5.211 * [taylor]: Taking taylor expansion of lambda2 in lambda2
5.211 * [backup-simplify]: Simplify 0 into 0
5.211 * [backup-simplify]: Simplify 1 into 1
5.211 * [backup-simplify]: Simplify 0 into 0
5.211 * [backup-simplify]: Simplify (+ 0) into 0
5.211 * [backup-simplify]: Simplify 0 into 0
5.212 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
5.212 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (* 0 1))) into 0
5.213 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
5.213 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (* 0 0))) into 0
5.213 * [backup-simplify]: Simplify (- 0) into 0
5.213 * [backup-simplify]: Simplify (+ 0 0) into 0
5.214 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
5.214 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (* 0 1))) into 0
5.215 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
5.215 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (* 0 0))) into 0
5.215 * [backup-simplify]: Simplify (+ 0 0) into 0
5.216 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
5.216 * [backup-simplify]: Simplify (+ (* (sin lambda1) 0) (+ (* 0 0) (* 0 1))) into 0
5.217 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
5.217 * [backup-simplify]: Simplify (+ (* (cos lambda1) 0) (+ (* 0 0) (* 0 0))) into 0
5.217 * [backup-simplify]: Simplify (+ 0 0) into 0
5.218 * [backup-simplify]: Simplify (+ (* (sin lambda1) 0) (+ (* 0 0) (* 0 (sin lambda2)))) into 0
5.218 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
5.219 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (* 0 1))) into 0
5.219 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
5.219 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (* 0 0))) into 0
5.220 * [backup-simplify]: Simplify (- 0) into 0
5.220 * [backup-simplify]: Simplify (+ 0 0) into 0
5.220 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
5.221 * [backup-simplify]: Simplify (+ (* (cos lambda1) 0) (+ (* 0 0) (* 0 1))) into 0
5.221 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
5.222 * [backup-simplify]: Simplify (+ (* (sin lambda1) 0) (+ (* 0 0) (* 0 0))) into 0
5.222 * [backup-simplify]: Simplify (- 0) into 0
5.222 * [backup-simplify]: Simplify (+ 0 0) into 0
5.222 * [backup-simplify]: Simplify (+ (* (cos lambda1) 0) (+ (* 0 0) (* 0 (cos lambda2)))) into 0
5.223 * [backup-simplify]: Simplify (+ 0 0) into 0
5.223 * [backup-simplify]: Simplify (+ (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) 0) (+ (* 0 0) (* 0 (cos phi2)))) into 0
5.224 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
5.224 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/2 (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2))))) into (- (+ (* 1/2 (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* 1/2 (* (cos phi2) (* (cos lambda1) (cos lambda2))))))
5.224 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* 1/2 (* (cos phi2) (* (cos lambda1) (cos lambda2)))))) in phi2
5.224 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* 1/2 (* (cos phi2) (* (cos lambda1) (cos lambda2))))) in phi2
5.224 * [taylor]: Taking taylor expansion of (* 1/2 (* (cos phi2) (* (sin lambda1) (sin lambda2)))) in phi2
5.224 * [taylor]: Taking taylor expansion of 1/2 in phi2
5.224 * [backup-simplify]: Simplify 1/2 into 1/2
5.224 * [taylor]: Taking taylor expansion of (* (cos phi2) (* (sin lambda1) (sin lambda2))) in phi2
5.225 * [taylor]: Taking taylor expansion of (cos phi2) in phi2
5.225 * [taylor]: Taking taylor expansion of phi2 in phi2
5.225 * [backup-simplify]: Simplify 0 into 0
5.225 * [backup-simplify]: Simplify 1 into 1
5.225 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in phi2
5.225 * [taylor]: Taking taylor expansion of (sin lambda1) in phi2
5.225 * [taylor]: Taking taylor expansion of lambda1 in phi2
5.225 * [backup-simplify]: Simplify lambda1 into lambda1
5.225 * [backup-simplify]: Simplify (sin lambda1) into (sin lambda1)
5.225 * [backup-simplify]: Simplify (cos lambda1) into (cos lambda1)
5.225 * [taylor]: Taking taylor expansion of (sin lambda2) in phi2
5.225 * [taylor]: Taking taylor expansion of lambda2 in phi2
5.225 * [backup-simplify]: Simplify lambda2 into lambda2
5.225 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2)
5.225 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2)
5.225 * [taylor]: Taking taylor expansion of (* 1/2 (* (cos phi2) (* (cos lambda1) (cos lambda2)))) in phi2
5.225 * [taylor]: Taking taylor expansion of 1/2 in phi2
5.225 * [backup-simplify]: Simplify 1/2 into 1/2
5.225 * [taylor]: Taking taylor expansion of (* (cos phi2) (* (cos lambda1) (cos lambda2))) in phi2
5.225 * [taylor]: Taking taylor expansion of (cos phi2) in phi2
5.225 * [taylor]: Taking taylor expansion of phi2 in phi2
5.225 * [backup-simplify]: Simplify 0 into 0
5.225 * [backup-simplify]: Simplify 1 into 1
5.225 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in phi2
5.225 * [taylor]: Taking taylor expansion of (cos lambda1) in phi2
5.225 * [taylor]: Taking taylor expansion of lambda1 in phi2
5.225 * [backup-simplify]: Simplify lambda1 into lambda1
5.225 * [backup-simplify]: Simplify (cos lambda1) into (cos lambda1)
5.225 * [backup-simplify]: Simplify (sin lambda1) into (sin lambda1)
5.225 * [taylor]: Taking taylor expansion of (cos lambda2) in phi2
5.225 * [taylor]: Taking taylor expansion of lambda2 in phi2
5.225 * [backup-simplify]: Simplify lambda2 into lambda2
5.225 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2)
5.225 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2)
5.225 * [backup-simplify]: Simplify (* (sin lambda1) 1) into (sin lambda1)
5.225 * [backup-simplify]: Simplify (* (cos lambda1) 0) into 0
5.225 * [backup-simplify]: Simplify (+ (sin lambda1) 0) into (sin lambda1)
5.225 * [backup-simplify]: Simplify (* (sin lambda2) 1) into (sin lambda2)
5.225 * [backup-simplify]: Simplify (* (cos lambda2) 0) into 0
5.225 * [backup-simplify]: Simplify (+ (sin lambda2) 0) into (sin lambda2)
5.225 * [backup-simplify]: Simplify (* (sin lambda1) (sin lambda2)) into (* (sin lambda1) (sin lambda2))
5.225 * [backup-simplify]: Simplify (* 1 (* (sin lambda1) (sin lambda2))) into (* (sin lambda1) (sin lambda2))
5.226 * [backup-simplify]: Simplify (* 1/2 (* (sin lambda1) (sin lambda2))) into (* 1/2 (* (sin lambda1) (sin lambda2)))
5.226 * [backup-simplify]: Simplify (* (cos lambda1) 1) into (cos lambda1)
5.226 * [backup-simplify]: Simplify (* (sin lambda1) 0) into 0
5.226 * [backup-simplify]: Simplify (- 0) into 0
5.226 * [backup-simplify]: Simplify (+ (cos lambda1) 0) into (cos lambda1)
5.226 * [backup-simplify]: Simplify (* (cos lambda2) 1) into (cos lambda2)
5.226 * [backup-simplify]: Simplify (* (sin lambda2) 0) into 0
5.226 * [backup-simplify]: Simplify (- 0) into 0
5.226 * [backup-simplify]: Simplify (+ (cos lambda2) 0) into (cos lambda2)
5.226 * [backup-simplify]: Simplify (* (cos lambda1) (cos lambda2)) into (* (cos lambda1) (cos lambda2))
5.226 * [backup-simplify]: Simplify (* 1 (* (cos lambda1) (cos lambda2))) into (* (cos lambda1) (cos lambda2))
5.227 * [backup-simplify]: Simplify (* 1/2 (* (cos lambda1) (cos lambda2))) into (* 1/2 (* (cos lambda1) (cos lambda2)))
5.227 * [backup-simplify]: Simplify (+ (* 1/2 (* (sin lambda1) (sin lambda2))) (* 1/2 (* (cos lambda1) (cos lambda2)))) into (+ (* 1/2 (* (sin lambda1) (sin lambda2))) (* 1/2 (* (cos lambda1) (cos lambda2))))
5.227 * [backup-simplify]: Simplify (- (+ (* 1/2 (* (sin lambda1) (sin lambda2))) (* 1/2 (* (cos lambda1) (cos lambda2))))) into (- (+ (* 1/2 (* (sin lambda1) (sin lambda2))) (* 1/2 (* (cos lambda1) (cos lambda2)))))
5.227 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* (sin lambda1) (sin lambda2))) (* 1/2 (* (cos lambda1) (cos lambda2))))) in lambda1
5.227 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* (sin lambda1) (sin lambda2))) (* 1/2 (* (cos lambda1) (cos lambda2)))) in lambda1
5.227 * [taylor]: Taking taylor expansion of (* 1/2 (* (sin lambda1) (sin lambda2))) in lambda1
5.227 * [taylor]: Taking taylor expansion of 1/2 in lambda1
5.227 * [backup-simplify]: Simplify 1/2 into 1/2
5.227 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1
5.227 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1
5.227 * [taylor]: Taking taylor expansion of lambda1 in lambda1
5.227 * [backup-simplify]: Simplify 0 into 0
5.227 * [backup-simplify]: Simplify 1 into 1
5.227 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1
5.227 * [taylor]: Taking taylor expansion of lambda2 in lambda1
5.227 * [backup-simplify]: Simplify lambda2 into lambda2
5.227 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2)
5.227 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2)
5.227 * [taylor]: Taking taylor expansion of (* 1/2 (* (cos lambda1) (cos lambda2))) in lambda1
5.227 * [taylor]: Taking taylor expansion of 1/2 in lambda1
5.227 * [backup-simplify]: Simplify 1/2 into 1/2
5.227 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in lambda1
5.227 * [taylor]: Taking taylor expansion of (cos lambda1) in lambda1
5.227 * [taylor]: Taking taylor expansion of lambda1 in lambda1
5.227 * [backup-simplify]: Simplify 0 into 0
5.227 * [backup-simplify]: Simplify 1 into 1
5.227 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda1
5.227 * [taylor]: Taking taylor expansion of lambda2 in lambda1
5.227 * [backup-simplify]: Simplify lambda2 into lambda2
5.227 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2)
5.227 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2)
5.227 * [backup-simplify]: Simplify (* (sin lambda2) 1) into (sin lambda2)
5.227 * [backup-simplify]: Simplify (* (cos lambda2) 0) into 0
5.227 * [backup-simplify]: Simplify (+ (sin lambda2) 0) into (sin lambda2)
5.227 * [backup-simplify]: Simplify (* 0 (sin lambda2)) into 0
5.228 * [backup-simplify]: Simplify (* 1/2 0) into 0
5.228 * [backup-simplify]: Simplify (* (cos lambda2) 1) into (cos lambda2)
5.228 * [backup-simplify]: Simplify (* (sin lambda2) 0) into 0
5.228 * [backup-simplify]: Simplify (- 0) into 0
5.228 * [backup-simplify]: Simplify (+ (cos lambda2) 0) into (cos lambda2)
5.228 * [backup-simplify]: Simplify (* 1 (cos lambda2)) into (cos lambda2)
5.228 * [backup-simplify]: Simplify (* 1/2 (cos lambda2)) into (* 1/2 (cos lambda2))
5.228 * [backup-simplify]: Simplify (+ 0 (* 1/2 (cos lambda2))) into (* 1/2 (cos lambda2))
5.228 * [backup-simplify]: Simplify (- (* 1/2 (cos lambda2))) into (- (* 1/2 (cos lambda2)))
5.228 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos lambda2))) in lambda2
5.228 * [taylor]: Taking taylor expansion of (* 1/2 (cos lambda2)) in lambda2
5.228 * [taylor]: Taking taylor expansion of 1/2 in lambda2
5.228 * [backup-simplify]: Simplify 1/2 into 1/2
5.229 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda2
5.229 * [taylor]: Taking taylor expansion of lambda2 in lambda2
5.229 * [backup-simplify]: Simplify 0 into 0
5.229 * [backup-simplify]: Simplify 1 into 1
5.229 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
5.229 * [backup-simplify]: Simplify (- 1/2) into -1/2
5.229 * [backup-simplify]: Simplify -1/2 into -1/2
5.229 * [taylor]: Taking taylor expansion of 0 in lambda1
5.229 * [backup-simplify]: Simplify 0 into 0
5.229 * [taylor]: Taking taylor expansion of 0 in lambda2
5.229 * [backup-simplify]: Simplify 0 into 0
5.229 * [backup-simplify]: Simplify 0 into 0
5.230 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
5.230 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
5.231 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (* 0 1))) into 0
5.231 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
5.232 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (* 0 0))) into 0
5.232 * [backup-simplify]: Simplify (+ 0 0) into 0
5.232 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
5.233 * [backup-simplify]: Simplify (+ (* (sin lambda1) 0) (+ (* 0 0) (* 0 1))) into 0
5.233 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
5.234 * [backup-simplify]: Simplify (+ (* (cos lambda1) 0) (+ (* 0 0) (* 0 0))) into 0
5.234 * [backup-simplify]: Simplify (+ 0 0) into 0
5.234 * [backup-simplify]: Simplify (+ (* (sin lambda1) 0) (+ (* 0 0) (* 0 (sin lambda2)))) into 0
5.235 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
5.235 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (* 0 1))) into 0
5.236 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
5.236 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (* 0 0))) into 0
5.236 * [backup-simplify]: Simplify (- 0) into 0
5.236 * [backup-simplify]: Simplify (+ 0 0) into 0
5.237 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
5.237 * [backup-simplify]: Simplify (+ (* (cos lambda1) 0) (+ (* 0 0) (* 0 1))) into 0
5.238 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
5.238 * [backup-simplify]: Simplify (+ (* (sin lambda1) 0) (+ (* 0 0) (* 0 0))) into 0
5.238 * [backup-simplify]: Simplify (- 0) into 0
5.239 * [backup-simplify]: Simplify (+ 0 0) into 0
5.239 * [backup-simplify]: Simplify (+ (* (cos lambda1) 0) (+ (* 0 0) (* 0 (cos lambda2)))) into 0
5.239 * [backup-simplify]: Simplify (+ 0 0) into 0
5.240 * [backup-simplify]: Simplify (+ (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) -1/2) (+ (* 0 0) (* 0 1))) into (- (+ (* 1/2 (* (sin lambda1) (sin lambda2))) (* 1/2 (* (cos lambda1) (cos lambda2)))))
5.240 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* (sin lambda1) (sin lambda2))) (* 1/2 (* (cos lambda1) (cos lambda2))))) in lambda1
5.240 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* (sin lambda1) (sin lambda2))) (* 1/2 (* (cos lambda1) (cos lambda2)))) in lambda1
5.240 * [taylor]: Taking taylor expansion of (* 1/2 (* (sin lambda1) (sin lambda2))) in lambda1
5.240 * [taylor]: Taking taylor expansion of 1/2 in lambda1
5.240 * [backup-simplify]: Simplify 1/2 into 1/2
5.240 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1
5.240 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1
5.240 * [taylor]: Taking taylor expansion of lambda1 in lambda1
5.240 * [backup-simplify]: Simplify 0 into 0
5.240 * [backup-simplify]: Simplify 1 into 1
5.240 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1
5.240 * [taylor]: Taking taylor expansion of lambda2 in lambda1
5.240 * [backup-simplify]: Simplify lambda2 into lambda2
5.240 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2)
5.240 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2)
5.240 * [taylor]: Taking taylor expansion of (* 1/2 (* (cos lambda1) (cos lambda2))) in lambda1
5.240 * [taylor]: Taking taylor expansion of 1/2 in lambda1
5.240 * [backup-simplify]: Simplify 1/2 into 1/2
5.240 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in lambda1
5.240 * [taylor]: Taking taylor expansion of (cos lambda1) in lambda1
5.240 * [taylor]: Taking taylor expansion of lambda1 in lambda1
5.240 * [backup-simplify]: Simplify 0 into 0
5.240 * [backup-simplify]: Simplify 1 into 1
5.240 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda1
5.240 * [taylor]: Taking taylor expansion of lambda2 in lambda1
5.240 * [backup-simplify]: Simplify lambda2 into lambda2
5.240 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2)
5.240 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2)
5.240 * [backup-simplify]: Simplify (* (sin lambda2) 1) into (sin lambda2)
5.240 * [backup-simplify]: Simplify (* (cos lambda2) 0) into 0
5.241 * [backup-simplify]: Simplify (+ (sin lambda2) 0) into (sin lambda2)
5.241 * [backup-simplify]: Simplify (* 0 (sin lambda2)) into 0
5.241 * [backup-simplify]: Simplify (* 1/2 0) into 0
5.241 * [backup-simplify]: Simplify (* (cos lambda2) 1) into (cos lambda2)
5.241 * [backup-simplify]: Simplify (* (sin lambda2) 0) into 0
5.241 * [backup-simplify]: Simplify (- 0) into 0
5.241 * [backup-simplify]: Simplify (+ (cos lambda2) 0) into (cos lambda2)
5.241 * [backup-simplify]: Simplify (* 1 (cos lambda2)) into (cos lambda2)
5.241 * [backup-simplify]: Simplify (* 1/2 (cos lambda2)) into (* 1/2 (cos lambda2))
5.241 * [backup-simplify]: Simplify (+ 0 (* 1/2 (cos lambda2))) into (* 1/2 (cos lambda2))
5.241 * [backup-simplify]: Simplify (- (* 1/2 (cos lambda2))) into (- (* 1/2 (cos lambda2)))
5.241 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos lambda2))) in lambda2
5.241 * [taylor]: Taking taylor expansion of (* 1/2 (cos lambda2)) in lambda2
5.241 * [taylor]: Taking taylor expansion of 1/2 in lambda2
5.241 * [backup-simplify]: Simplify 1/2 into 1/2
5.242 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda2
5.242 * [taylor]: Taking taylor expansion of lambda2 in lambda2
5.242 * [backup-simplify]: Simplify 0 into 0
5.242 * [backup-simplify]: Simplify 1 into 1
5.242 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
5.242 * [backup-simplify]: Simplify (- 1/2) into -1/2
5.242 * [backup-simplify]: Simplify -1/2 into -1/2
5.242 * [backup-simplify]: Simplify (+ (* -1/2 (pow (* 1 (* 1 (* phi2 1))) 2)) (+ (* -1/2 (pow (* 1 (* 1 (* 1 phi1))) 2)) 1)) into (- 1 (+ (* 1/2 (pow phi2 2)) (* 1/2 (pow phi1 2))))
5.243 * [backup-simplify]: Simplify (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))) into (* (cos (/ 1 phi2)) (* (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (cos (/ 1 phi1))))
5.243 * [approximate]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (cos (/ 1 phi1)))) in (phi1 phi2 lambda1 lambda2) around 0
5.243 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (cos (/ 1 phi1)))) in lambda2
5.243 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda2
5.243 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2
5.243 * [taylor]: Taking taylor expansion of phi2 in lambda2
5.243 * [backup-simplify]: Simplify phi2 into phi2
5.243 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
5.243 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2))
5.243 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2))
5.243 * [taylor]: Taking taylor expansion of (* (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (cos (/ 1 phi1))) in lambda2
5.243 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) in lambda2
5.243 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda2
5.243 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2
5.243 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2
5.243 * [taylor]: Taking taylor expansion of lambda2 in lambda2
5.243 * [backup-simplify]: Simplify 0 into 0
5.243 * [backup-simplify]: Simplify 1 into 1
5.244 * [backup-simplify]: Simplify (/ 1 1) into 1
5.244 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2))
5.244 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2
5.244 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2
5.244 * [taylor]: Taking taylor expansion of lambda1 in lambda2
5.244 * [backup-simplify]: Simplify lambda1 into lambda1
5.244 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1)
5.244 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1))
5.244 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1))
5.244 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in lambda2
5.244 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in lambda2
5.244 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2
5.244 * [taylor]: Taking taylor expansion of lambda2 in lambda2
5.244 * [backup-simplify]: Simplify 0 into 0
5.244 * [backup-simplify]: Simplify 1 into 1
5.245 * [backup-simplify]: Simplify (/ 1 1) into 1
5.245 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2))
5.245 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in lambda2
5.245 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2
5.245 * [taylor]: Taking taylor expansion of lambda1 in lambda2
5.245 * [backup-simplify]: Simplify lambda1 into lambda1
5.245 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1)
5.245 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1))
5.245 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1))
5.245 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda2
5.245 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2
5.245 * [taylor]: Taking taylor expansion of phi1 in lambda2
5.245 * [backup-simplify]: Simplify phi1 into phi1
5.245 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
5.245 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1))
5.245 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1))
5.246 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (cos (/ 1 phi1)))) in lambda1
5.246 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda1
5.246 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1
5.246 * [taylor]: Taking taylor expansion of phi2 in lambda1
5.246 * [backup-simplify]: Simplify phi2 into phi2
5.246 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
5.246 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2))
5.246 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2))
5.246 * [taylor]: Taking taylor expansion of (* (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (cos (/ 1 phi1))) in lambda1
5.246 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) in lambda1
5.246 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda1
5.246 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1
5.246 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1
5.246 * [taylor]: Taking taylor expansion of lambda2 in lambda1
5.246 * [backup-simplify]: Simplify lambda2 into lambda2
5.246 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2)
5.246 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2))
5.246 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2))
5.246 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1
5.246 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1
5.246 * [taylor]: Taking taylor expansion of lambda1 in lambda1
5.246 * [backup-simplify]: Simplify 0 into 0
5.246 * [backup-simplify]: Simplify 1 into 1
5.249 * [backup-simplify]: Simplify (/ 1 1) into 1
5.249 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1))
5.249 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in lambda1
5.249 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in lambda1
5.249 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1
5.249 * [taylor]: Taking taylor expansion of lambda2 in lambda1
5.249 * [backup-simplify]: Simplify lambda2 into lambda2
5.249 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2)
5.250 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2))
5.250 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2))
5.250 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in lambda1
5.250 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1
5.250 * [taylor]: Taking taylor expansion of lambda1 in lambda1
5.250 * [backup-simplify]: Simplify 0 into 0
5.250 * [backup-simplify]: Simplify 1 into 1
5.250 * [backup-simplify]: Simplify (/ 1 1) into 1
5.250 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1))
5.250 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda1
5.250 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1
5.250 * [taylor]: Taking taylor expansion of phi1 in lambda1
5.251 * [backup-simplify]: Simplify phi1 into phi1
5.251 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
5.251 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1))
5.251 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1))
5.251 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (cos (/ 1 phi1)))) in phi2
5.251 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi2
5.251 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2
5.251 * [taylor]: Taking taylor expansion of phi2 in phi2
5.251 * [backup-simplify]: Simplify 0 into 0
5.251 * [backup-simplify]: Simplify 1 into 1
5.251 * [backup-simplify]: Simplify (/ 1 1) into 1
5.251 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2))
5.251 * [taylor]: Taking taylor expansion of (* (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (cos (/ 1 phi1))) in phi2
5.251 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) in phi2
5.251 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in phi2
5.251 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in phi2
5.252 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2
5.252 * [taylor]: Taking taylor expansion of lambda2 in phi2
5.252 * [backup-simplify]: Simplify lambda2 into lambda2
5.252 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2)
5.252 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2))
5.252 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2))
5.252 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in phi2
5.252 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2
5.252 * [taylor]: Taking taylor expansion of lambda1 in phi2
5.252 * [backup-simplify]: Simplify lambda1 into lambda1
5.252 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1)
5.252 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1))
5.252 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1))
5.252 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in phi2
5.252 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in phi2
5.252 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2
5.252 * [taylor]: Taking taylor expansion of lambda2 in phi2
5.252 * [backup-simplify]: Simplify lambda2 into lambda2
5.252 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2)
5.252 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2))
5.252 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2))
5.252 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in phi2
5.252 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2
5.252 * [taylor]: Taking taylor expansion of lambda1 in phi2
5.253 * [backup-simplify]: Simplify lambda1 into lambda1
5.253 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1)
5.253 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1))
5.253 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1))
5.253 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi2
5.253 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2
5.253 * [taylor]: Taking taylor expansion of phi1 in phi2
5.253 * [backup-simplify]: Simplify phi1 into phi1
5.253 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
5.253 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1))
5.253 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1))
5.253 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (cos (/ 1 phi1)))) in phi1
5.253 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi1
5.253 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1
5.253 * [taylor]: Taking taylor expansion of phi2 in phi1
5.253 * [backup-simplify]: Simplify phi2 into phi2
5.253 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
5.253 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2))
5.253 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2))
5.254 * [taylor]: Taking taylor expansion of (* (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (cos (/ 1 phi1))) in phi1
5.254 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) in phi1
5.254 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in phi1
5.254 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in phi1
5.254 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1
5.254 * [taylor]: Taking taylor expansion of lambda2 in phi1
5.254 * [backup-simplify]: Simplify lambda2 into lambda2
5.254 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2)
5.254 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2))
5.254 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2))
5.254 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in phi1
5.254 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1
5.254 * [taylor]: Taking taylor expansion of lambda1 in phi1
5.254 * [backup-simplify]: Simplify lambda1 into lambda1
5.254 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1)
5.254 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1))
5.254 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1))
5.254 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in phi1
5.254 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in phi1
5.254 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1
5.254 * [taylor]: Taking taylor expansion of lambda2 in phi1
5.254 * [backup-simplify]: Simplify lambda2 into lambda2
5.254 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2)
5.254 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2))
5.254 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2))
5.255 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in phi1
5.255 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1
5.255 * [taylor]: Taking taylor expansion of lambda1 in phi1
5.255 * [backup-simplify]: Simplify lambda1 into lambda1
5.255 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1)
5.255 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1))
5.255 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1))
5.255 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi1
5.255 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1
5.255 * [taylor]: Taking taylor expansion of phi1 in phi1
5.255 * [backup-simplify]: Simplify 0 into 0
5.255 * [backup-simplify]: Simplify 1 into 1
5.256 * [backup-simplify]: Simplify (/ 1 1) into 1
5.256 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1))
5.256 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (cos (/ 1 phi1)))) in phi1
5.256 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi1
5.256 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1
5.256 * [taylor]: Taking taylor expansion of phi2 in phi1
5.256 * [backup-simplify]: Simplify phi2 into phi2
5.256 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
5.256 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2))
5.256 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2))
5.256 * [taylor]: Taking taylor expansion of (* (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (cos (/ 1 phi1))) in phi1
5.256 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) in phi1
5.256 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in phi1
5.256 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in phi1
5.256 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1
5.256 * [taylor]: Taking taylor expansion of lambda2 in phi1
5.256 * [backup-simplify]: Simplify lambda2 into lambda2
5.256 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2)
5.256 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2))
5.256 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2))
5.256 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in phi1
5.256 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1
5.256 * [taylor]: Taking taylor expansion of lambda1 in phi1
5.256 * [backup-simplify]: Simplify lambda1 into lambda1
5.256 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1)
5.257 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1))
5.257 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1))
5.257 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in phi1
5.257 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in phi1
5.257 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1
5.257 * [taylor]: Taking taylor expansion of lambda2 in phi1
5.257 * [backup-simplify]: Simplify lambda2 into lambda2
5.257 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2)
5.257 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2))
5.257 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2))
5.257 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in phi1
5.257 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1
5.257 * [taylor]: Taking taylor expansion of lambda1 in phi1
5.257 * [backup-simplify]: Simplify lambda1 into lambda1
5.257 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1)
5.257 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1))
5.257 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1))
5.257 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi1
5.257 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1
5.257 * [taylor]: Taking taylor expansion of phi1 in phi1
5.257 * [backup-simplify]: Simplify 0 into 0
5.257 * [backup-simplify]: Simplify 1 into 1
5.258 * [backup-simplify]: Simplify (/ 1 1) into 1
5.258 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1))
5.258 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) 1) into (cos (/ 1 phi2))
5.258 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) 0) into 0
5.259 * [backup-simplify]: Simplify (- 0) into 0
5.259 * [backup-simplify]: Simplify (+ (cos (/ 1 phi2)) 0) into (cos (/ 1 phi2))
5.259 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) 1) into (sin (/ 1 lambda2))
5.259 * [backup-simplify]: Simplify (* (cos (/ 1 lambda2)) 0) into 0
5.259 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda2)) 0) into (sin (/ 1 lambda2))
5.259 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) 1) into (sin (/ 1 lambda1))
5.259 * [backup-simplify]: Simplify (* (cos (/ 1 lambda1)) 0) into 0
5.259 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda1)) 0) into (sin (/ 1 lambda1))
5.259 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))
5.259 * [backup-simplify]: Simplify (* (cos (/ 1 lambda2)) 1) into (cos (/ 1 lambda2))
5.260 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) 0) into 0
5.260 * [backup-simplify]: Simplify (- 0) into 0
5.260 * [backup-simplify]: Simplify (+ (cos (/ 1 lambda2)) 0) into (cos (/ 1 lambda2))
5.260 * [backup-simplify]: Simplify (* (cos (/ 1 lambda1)) 1) into (cos (/ 1 lambda1))
5.260 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) 0) into 0
5.261 * [backup-simplify]: Simplify (- 0) into 0
5.261 * [backup-simplify]: Simplify (+ (cos (/ 1 lambda1)) 0) into (cos (/ 1 lambda1))
5.261 * [backup-simplify]: Simplify (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) into (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))
5.261 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) into (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))
5.261 * [backup-simplify]: Simplify (* (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (cos (/ 1 phi1))) into (* (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (cos (/ 1 phi1)))
5.262 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) (* (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (cos (/ 1 phi1)))) into (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))))
5.262 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))))) in phi2
5.262 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi2
5.262 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2
5.262 * [taylor]: Taking taylor expansion of phi1 in phi2
5.262 * [backup-simplify]: Simplify phi1 into phi1
5.262 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
5.262 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1))
5.262 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1))
5.262 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))) in phi2
5.262 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi2
5.262 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2
5.262 * [taylor]: Taking taylor expansion of phi2 in phi2
5.262 * [backup-simplify]: Simplify 0 into 0
5.262 * [backup-simplify]: Simplify 1 into 1
5.263 * [backup-simplify]: Simplify (/ 1 1) into 1
5.263 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2))
5.263 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) in phi2
5.263 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in phi2
5.263 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in phi2
5.263 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2
5.263 * [taylor]: Taking taylor expansion of lambda2 in phi2
5.263 * [backup-simplify]: Simplify lambda2 into lambda2
5.263 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2)
5.263 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2))
5.263 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2))
5.263 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in phi2
5.263 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2
5.263 * [taylor]: Taking taylor expansion of lambda1 in phi2
5.263 * [backup-simplify]: Simplify lambda1 into lambda1
5.263 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1)
5.263 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1))
5.263 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1))
5.264 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in phi2
5.264 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in phi2
5.264 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2
5.264 * [taylor]: Taking taylor expansion of lambda2 in phi2
5.264 * [backup-simplify]: Simplify lambda2 into lambda2
5.264 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2)
5.264 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2))
5.264 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2))
5.264 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in phi2
5.264 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2
5.264 * [taylor]: Taking taylor expansion of lambda1 in phi2
5.264 * [backup-simplify]: Simplify lambda1 into lambda1
5.264 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1)
5.264 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1))
5.264 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1))
5.264 * [backup-simplify]: Simplify (* (cos (/ 1 phi1)) 1) into (cos (/ 1 phi1))
5.264 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) 0) into 0
5.265 * [backup-simplify]: Simplify (- 0) into 0
5.265 * [backup-simplify]: Simplify (+ (cos (/ 1 phi1)) 0) into (cos (/ 1 phi1))
5.265 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) 1) into (sin (/ 1 lambda2))
5.265 * [backup-simplify]: Simplify (* (cos (/ 1 lambda2)) 0) into 0
5.265 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda2)) 0) into (sin (/ 1 lambda2))
5.265 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) 1) into (sin (/ 1 lambda1))
5.265 * [backup-simplify]: Simplify (* (cos (/ 1 lambda1)) 0) into 0
5.265 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda1)) 0) into (sin (/ 1 lambda1))
5.266 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))
5.266 * [backup-simplify]: Simplify (* (cos (/ 1 lambda2)) 1) into (cos (/ 1 lambda2))
5.266 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) 0) into 0
5.266 * [backup-simplify]: Simplify (- 0) into 0
5.266 * [backup-simplify]: Simplify (+ (cos (/ 1 lambda2)) 0) into (cos (/ 1 lambda2))
5.266 * [backup-simplify]: Simplify (* (cos (/ 1 lambda1)) 1) into (cos (/ 1 lambda1))
5.266 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) 0) into 0
5.267 * [backup-simplify]: Simplify (- 0) into 0
5.267 * [backup-simplify]: Simplify (+ (cos (/ 1 lambda1)) 0) into (cos (/ 1 lambda1))
5.267 * [backup-simplify]: Simplify (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) into (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))
5.267 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) into (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))
5.268 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))) into (* (cos (/ 1 phi2)) (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))))
5.268 * [backup-simplify]: Simplify (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))))) into (* (cos (/ 1 phi2)) (* (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (cos (/ 1 phi1))))
5.268 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (cos (/ 1 phi1)))) in lambda1
5.268 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda1
5.268 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1
5.268 * [taylor]: Taking taylor expansion of phi2 in lambda1
5.268 * [backup-simplify]: Simplify phi2 into phi2
5.268 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
5.268 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2))
5.268 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2))
5.268 * [taylor]: Taking taylor expansion of (* (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (cos (/ 1 phi1))) in lambda1
5.268 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) in lambda1
5.268 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda1
5.269 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1
5.269 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1
5.269 * [taylor]: Taking taylor expansion of lambda2 in lambda1
5.269 * [backup-simplify]: Simplify lambda2 into lambda2
5.269 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2)
5.269 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2))
5.269 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2))
5.269 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1
5.269 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1
5.269 * [taylor]: Taking taylor expansion of lambda1 in lambda1
5.269 * [backup-simplify]: Simplify 0 into 0
5.269 * [backup-simplify]: Simplify 1 into 1
5.270 * [backup-simplify]: Simplify (/ 1 1) into 1
5.270 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1))
5.270 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in lambda1
5.270 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in lambda1
5.270 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1
5.270 * [taylor]: Taking taylor expansion of lambda2 in lambda1
5.270 * [backup-simplify]: Simplify lambda2 into lambda2
5.270 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2)
5.270 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2))
5.270 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2))
5.270 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in lambda1
5.270 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1
5.270 * [taylor]: Taking taylor expansion of lambda1 in lambda1
5.270 * [backup-simplify]: Simplify 0 into 0
5.270 * [backup-simplify]: Simplify 1 into 1
5.271 * [backup-simplify]: Simplify (/ 1 1) into 1
5.271 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1))
5.271 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda1
5.271 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1
5.271 * [taylor]: Taking taylor expansion of phi1 in lambda1
5.271 * [backup-simplify]: Simplify phi1 into phi1
5.271 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
5.271 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1))
5.271 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1))
5.271 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) 1) into (cos (/ 1 phi2))
5.271 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) 0) into 0
5.272 * [backup-simplify]: Simplify (- 0) into 0
5.272 * [backup-simplify]: Simplify (+ (cos (/ 1 phi2)) 0) into (cos (/ 1 phi2))
5.272 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) 1) into (sin (/ 1 lambda2))
5.272 * [backup-simplify]: Simplify (* (cos (/ 1 lambda2)) 0) into 0
5.272 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda2)) 0) into (sin (/ 1 lambda2))
5.272 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))
5.272 * [backup-simplify]: Simplify (* (cos (/ 1 lambda2)) 1) into (cos (/ 1 lambda2))
5.273 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) 0) into 0
5.273 * [backup-simplify]: Simplify (- 0) into 0
5.273 * [backup-simplify]: Simplify (+ (cos (/ 1 lambda2)) 0) into (cos (/ 1 lambda2))
5.273 * [backup-simplify]: Simplify (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) into (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))
5.273 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) into (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))
5.273 * [backup-simplify]: Simplify (* (cos (/ 1 phi1)) 1) into (cos (/ 1 phi1))
5.274 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) 0) into 0
5.274 * [backup-simplify]: Simplify (- 0) into 0
5.274 * [backup-simplify]: Simplify (+ (cos (/ 1 phi1)) 0) into (cos (/ 1 phi1))
5.274 * [backup-simplify]: Simplify (* (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (cos (/ 1 phi1))) into (* (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (cos (/ 1 phi1)))
5.275 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) (* (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (cos (/ 1 phi1)))) into (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))))
5.275 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))))) in lambda2
5.275 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda2
5.275 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2
5.275 * [taylor]: Taking taylor expansion of phi1 in lambda2
5.275 * [backup-simplify]: Simplify phi1 into phi1
5.275 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
5.275 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1))
5.275 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1))
5.275 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))) in lambda2
5.275 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda2
5.275 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2
5.275 * [taylor]: Taking taylor expansion of phi2 in lambda2
5.275 * [backup-simplify]: Simplify phi2 into phi2
5.275 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
5.275 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2))
5.276 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2))
5.276 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) in lambda2
5.276 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda2
5.276 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2
5.276 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2
5.276 * [taylor]: Taking taylor expansion of lambda2 in lambda2
5.276 * [backup-simplify]: Simplify 0 into 0
5.276 * [backup-simplify]: Simplify 1 into 1
5.276 * [backup-simplify]: Simplify (/ 1 1) into 1
5.276 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2))
5.276 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2
5.276 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2
5.276 * [taylor]: Taking taylor expansion of lambda1 in lambda2
5.276 * [backup-simplify]: Simplify lambda1 into lambda1
5.277 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1)
5.277 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1))
5.277 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1))
5.277 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in lambda2
5.277 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in lambda2
5.277 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2
5.277 * [taylor]: Taking taylor expansion of lambda2 in lambda2
5.277 * [backup-simplify]: Simplify 0 into 0
5.277 * [backup-simplify]: Simplify 1 into 1
5.277 * [backup-simplify]: Simplify (/ 1 1) into 1
5.277 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2))
5.277 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in lambda2
5.277 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2
5.277 * [taylor]: Taking taylor expansion of lambda1 in lambda2
5.278 * [backup-simplify]: Simplify lambda1 into lambda1
5.278 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1)
5.278 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1))
5.278 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1))
5.278 * [backup-simplify]: Simplify (* (cos (/ 1 phi1)) 1) into (cos (/ 1 phi1))
5.278 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) 0) into 0
5.278 * [backup-simplify]: Simplify (- 0) into 0
5.278 * [backup-simplify]: Simplify (+ (cos (/ 1 phi1)) 0) into (cos (/ 1 phi1))
5.279 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) 1) into (cos (/ 1 phi2))
5.279 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) 0) into 0
5.279 * [backup-simplify]: Simplify (- 0) into 0
5.279 * [backup-simplify]: Simplify (+ (cos (/ 1 phi2)) 0) into (cos (/ 1 phi2))
5.279 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) 1) into (sin (/ 1 lambda1))
5.279 * [backup-simplify]: Simplify (* (cos (/ 1 lambda1)) 0) into 0
5.279 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda1)) 0) into (sin (/ 1 lambda1))
5.280 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))
5.280 * [backup-simplify]: Simplify (* (cos (/ 1 lambda1)) 1) into (cos (/ 1 lambda1))
5.280 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) 0) into 0
5.280 * [backup-simplify]: Simplify (- 0) into 0
5.280 * [backup-simplify]: Simplify (+ (cos (/ 1 lambda1)) 0) into (cos (/ 1 lambda1))
5.280 * [backup-simplify]: Simplify (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) into (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))
5.281 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) into (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))
5.281 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))) into (* (cos (/ 1 phi2)) (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))))
5.281 * [backup-simplify]: Simplify (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))))) into (* (cos (/ 1 phi2)) (* (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (cos (/ 1 phi1))))
5.282 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) (* (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (cos (/ 1 phi1)))) into (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))))
5.282 * [backup-simplify]: Simplify (+ 0) into 0
5.283 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 1)) into 0
5.283 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)))) into 0
5.283 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
5.283 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (* 0 0)) into 0
5.284 * [backup-simplify]: Simplify (+ 0 0) into 0
5.284 * [backup-simplify]: Simplify (+ 0) into 0
5.284 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 1)) into 0
5.284 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0
5.285 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
5.285 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (* 0 0)) into 0
5.285 * [backup-simplify]: Simplify (+ 0 0) into 0
5.285 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 (sin (/ 1 lambda1)))) into 0
5.286 * [backup-simplify]: Simplify (+ 0) into 0
5.286 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (* 0 1)) into 0
5.286 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)))) into 0
5.286 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
5.287 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 0)) into 0
5.287 * [backup-simplify]: Simplify (- 0) into 0
5.287 * [backup-simplify]: Simplify (+ 0 0) into 0
5.287 * [backup-simplify]: Simplify (+ 0) into 0
5.288 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (* 0 1)) into 0
5.288 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0
5.288 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
5.289 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 0)) into 0
5.289 * [backup-simplify]: Simplify (- 0) into 0
5.289 * [backup-simplify]: Simplify (+ 0 0) into 0
5.289 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (* 0 (cos (/ 1 lambda1)))) into 0
5.289 * [backup-simplify]: Simplify (+ 0 0) into 0
5.290 * [backup-simplify]: Simplify (+ (* (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) 0) (* 0 (cos (/ 1 phi1)))) into 0
5.290 * [backup-simplify]: Simplify (+ 0) into 0
5.290 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 1)) into 0
5.290 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
5.291 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
5.291 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 0)) into 0
5.291 * [backup-simplify]: Simplify (- 0) into 0
5.292 * [backup-simplify]: Simplify (+ 0 0) into 0
5.292 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 (* (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (cos (/ 1 phi1))))) into 0
5.292 * [taylor]: Taking taylor expansion of 0 in phi2
5.292 * [backup-simplify]: Simplify 0 into 0
5.292 * [taylor]: Taking taylor expansion of 0 in lambda1
5.292 * [backup-simplify]: Simplify 0 into 0
5.292 * [taylor]: Taking taylor expansion of 0 in lambda2
5.292 * [backup-simplify]: Simplify 0 into 0
5.292 * [backup-simplify]: Simplify 0 into 0
5.292 * [backup-simplify]: Simplify (+ 0) into 0
5.292 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 1)) into 0
5.293 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)))) into 0
5.293 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
5.293 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (* 0 0)) into 0
5.294 * [backup-simplify]: Simplify (+ 0 0) into 0
5.294 * [backup-simplify]: Simplify (+ 0) into 0
5.294 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 1)) into 0
5.294 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0
5.295 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
5.295 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (* 0 0)) into 0
5.295 * [backup-simplify]: Simplify (+ 0 0) into 0
5.295 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 (sin (/ 1 lambda1)))) into 0
5.296 * [backup-simplify]: Simplify (+ 0) into 0
5.296 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (* 0 1)) into 0
5.296 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)))) into 0
5.296 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
5.297 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 0)) into 0
5.297 * [backup-simplify]: Simplify (- 0) into 0
5.297 * [backup-simplify]: Simplify (+ 0 0) into 0
5.297 * [backup-simplify]: Simplify (+ 0) into 0
5.298 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (* 0 1)) into 0
5.298 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0
5.298 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
5.299 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 0)) into 0
5.299 * [backup-simplify]: Simplify (- 0) into 0
5.299 * [backup-simplify]: Simplify (+ 0 0) into 0
5.299 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (* 0 (cos (/ 1 lambda1)))) into 0
5.299 * [backup-simplify]: Simplify (+ 0 0) into 0
5.300 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))))) into 0
5.300 * [backup-simplify]: Simplify (+ 0) into 0
5.300 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (* 0 1)) into 0
5.300 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
5.301 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
5.301 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 0)) into 0
5.301 * [backup-simplify]: Simplify (- 0) into 0
5.301 * [backup-simplify]: Simplify (+ 0 0) into 0
5.302 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (* 0 (* (cos (/ 1 phi2)) (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))))) into 0
5.302 * [taylor]: Taking taylor expansion of 0 in lambda1
5.302 * [backup-simplify]: Simplify 0 into 0
5.302 * [taylor]: Taking taylor expansion of 0 in lambda2
5.302 * [backup-simplify]: Simplify 0 into 0
5.302 * [backup-simplify]: Simplify 0 into 0
5.302 * [backup-simplify]: Simplify (+ 0) into 0
5.302 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (* 0 1)) into 0
5.302 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
5.303 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
5.303 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 0)) into 0
5.303 * [backup-simplify]: Simplify (- 0) into 0
5.304 * [backup-simplify]: Simplify (+ 0 0) into 0
5.304 * [backup-simplify]: Simplify (+ 0) into 0
5.304 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 1)) into 0
5.304 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0
5.305 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
5.305 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (* 0 0)) into 0
5.305 * [backup-simplify]: Simplify (+ 0 0) into 0
5.305 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 (sin (/ 1 lambda1)))) into 0
5.305 * [backup-simplify]: Simplify (+ 0) into 0
5.306 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (* 0 1)) into 0
5.306 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0
5.306 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
5.307 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 0)) into 0
5.307 * [backup-simplify]: Simplify (- 0) into 0
5.307 * [backup-simplify]: Simplify (+ 0 0) into 0
5.307 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (* 0 (cos (/ 1 lambda1)))) into 0
5.307 * [backup-simplify]: Simplify (+ 0 0) into 0
5.308 * [backup-simplify]: Simplify (+ (* (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) 0) (* 0 (cos (/ 1 phi1)))) into 0
5.308 * [backup-simplify]: Simplify (+ 0) into 0
5.308 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 1)) into 0
5.308 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
5.309 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
5.309 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 0)) into 0
5.309 * [backup-simplify]: Simplify (- 0) into 0
5.309 * [backup-simplify]: Simplify (+ 0 0) into 0
5.310 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 (* (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (cos (/ 1 phi1))))) into 0
5.310 * [taylor]: Taking taylor expansion of 0 in lambda2
5.310 * [backup-simplify]: Simplify 0 into 0
5.310 * [backup-simplify]: Simplify 0 into 0
5.310 * [backup-simplify]: Simplify (+ 0) into 0
5.311 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 1)) into 0
5.311 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)))) into 0
5.312 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
5.312 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (* 0 0)) into 0
5.312 * [backup-simplify]: Simplify (+ 0 0) into 0
5.313 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 (sin (/ 1 lambda1)))) into 0
5.313 * [backup-simplify]: Simplify (+ 0) into 0
5.314 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (* 0 1)) into 0
5.314 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)))) into 0
5.314 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
5.315 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 0)) into 0
5.315 * [backup-simplify]: Simplify (- 0) into 0
5.316 * [backup-simplify]: Simplify (+ 0 0) into 0
5.316 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (* 0 (cos (/ 1 lambda1)))) into 0
5.316 * [backup-simplify]: Simplify (+ 0 0) into 0
5.317 * [backup-simplify]: Simplify (+ 0) into 0
5.317 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 1)) into 0
5.317 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
5.318 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
5.319 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 0)) into 0
5.319 * [backup-simplify]: Simplify (- 0) into 0
5.320 * [backup-simplify]: Simplify (+ 0 0) into 0
5.320 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))))) into 0
5.321 * [backup-simplify]: Simplify (+ 0) into 0
5.321 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (* 0 1)) into 0
5.321 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
5.322 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
5.322 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 0)) into 0
5.323 * [backup-simplify]: Simplify (- 0) into 0
5.323 * [backup-simplify]: Simplify (+ 0 0) into 0
5.324 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (* 0 (* (cos (/ 1 phi2)) (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))))) into 0
5.324 * [backup-simplify]: Simplify 0 into 0
5.325 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
5.325 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0
5.326 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0
5.326 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
5.327 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0
5.327 * [backup-simplify]: Simplify (+ 0 0) into 0
5.328 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
5.329 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0
5.329 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0
5.330 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
5.331 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0
5.331 * [backup-simplify]: Simplify (+ 0 0) into 0
5.332 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1))))) into 0
5.333 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
5.333 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0
5.334 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0
5.334 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
5.335 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0
5.335 * [backup-simplify]: Simplify (- 0) into 0
5.336 * [backup-simplify]: Simplify (+ 0 0) into 0
5.337 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
5.337 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0
5.338 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0
5.338 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
5.339 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0
5.339 * [backup-simplify]: Simplify (- 0) into 0
5.340 * [backup-simplify]: Simplify (+ 0 0) into 0
5.340 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 (cos (/ 1 lambda1))))) into 0
5.341 * [backup-simplify]: Simplify (+ 0 0) into 0
5.341 * [backup-simplify]: Simplify (+ (* (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) 0) (+ (* 0 0) (* 0 (cos (/ 1 phi1))))) into 0
5.342 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
5.343 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0
5.343 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
5.344 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
5.344 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0
5.345 * [backup-simplify]: Simplify (- 0) into 0
5.345 * [backup-simplify]: Simplify (+ 0 0) into 0
5.346 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (* 0 (* (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (cos (/ 1 phi1)))))) into 0
5.346 * [taylor]: Taking taylor expansion of 0 in phi2
5.346 * [backup-simplify]: Simplify 0 into 0
5.346 * [taylor]: Taking taylor expansion of 0 in lambda1
5.346 * [backup-simplify]: Simplify 0 into 0
5.346 * [taylor]: Taking taylor expansion of 0 in lambda2
5.346 * [backup-simplify]: Simplify 0 into 0
5.346 * [backup-simplify]: Simplify 0 into 0
5.346 * [taylor]: Taking taylor expansion of 0 in lambda1
5.346 * [backup-simplify]: Simplify 0 into 0
5.346 * [taylor]: Taking taylor expansion of 0 in lambda2
5.346 * [backup-simplify]: Simplify 0 into 0
5.346 * [backup-simplify]: Simplify 0 into 0
5.347 * [backup-simplify]: Simplify (* (cos (/ 1 (/ 1 phi1))) (* (cos (/ 1 (/ 1 phi2))) (+ (* (sin (/ 1 (/ 1 lambda2))) (sin (/ 1 (/ 1 lambda1)))) (* (cos (/ 1 (/ 1 lambda2))) (cos (/ 1 (/ 1 lambda1))))))) into (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))
5.347 * [backup-simplify]: Simplify (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))) into (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))))))
5.347 * [approximate]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2)))))) in (phi1 phi2 lambda1 lambda2) around 0
5.347 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2)))))) in lambda2
5.347 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda2
5.347 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda2
5.348 * [taylor]: Taking taylor expansion of -1 in lambda2
5.348 * [backup-simplify]: Simplify -1 into -1
5.348 * [taylor]: Taking taylor expansion of phi1 in lambda2
5.348 * [backup-simplify]: Simplify phi1 into phi1
5.348 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1)
5.348 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1))
5.348 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1))
5.348 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))))) in lambda2
5.348 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda2
5.348 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda2
5.348 * [taylor]: Taking taylor expansion of -1 in lambda2
5.348 * [backup-simplify]: Simplify -1 into -1
5.348 * [taylor]: Taking taylor expansion of phi2 in lambda2
5.348 * [backup-simplify]: Simplify phi2 into phi2
5.348 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2)
5.348 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2))
5.348 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2))
5.348 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2)))) in lambda2
5.348 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2
5.348 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2
5.348 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2
5.348 * [taylor]: Taking taylor expansion of -1 in lambda2
5.348 * [backup-simplify]: Simplify -1 into -1
5.348 * [taylor]: Taking taylor expansion of lambda1 in lambda2
5.348 * [backup-simplify]: Simplify lambda1 into lambda1
5.348 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1)
5.348 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1))
5.349 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1))
5.349 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2
5.349 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2
5.349 * [taylor]: Taking taylor expansion of -1 in lambda2
5.349 * [backup-simplify]: Simplify -1 into -1
5.349 * [taylor]: Taking taylor expansion of lambda2 in lambda2
5.349 * [backup-simplify]: Simplify 0 into 0
5.349 * [backup-simplify]: Simplify 1 into 1
5.349 * [backup-simplify]: Simplify (/ -1 1) into -1
5.349 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2))
5.349 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in lambda2
5.349 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in lambda2
5.349 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2
5.349 * [taylor]: Taking taylor expansion of -1 in lambda2
5.349 * [backup-simplify]: Simplify -1 into -1
5.350 * [taylor]: Taking taylor expansion of lambda1 in lambda2
5.350 * [backup-simplify]: Simplify lambda1 into lambda1
5.350 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1)
5.350 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1))
5.350 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1))
5.350 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in lambda2
5.350 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2
5.350 * [taylor]: Taking taylor expansion of -1 in lambda2
5.350 * [backup-simplify]: Simplify -1 into -1
5.350 * [taylor]: Taking taylor expansion of lambda2 in lambda2
5.350 * [backup-simplify]: Simplify 0 into 0
5.350 * [backup-simplify]: Simplify 1 into 1
5.350 * [backup-simplify]: Simplify (/ -1 1) into -1
5.351 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2))
5.351 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2)))))) in lambda1
5.351 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda1
5.351 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda1
5.351 * [taylor]: Taking taylor expansion of -1 in lambda1
5.351 * [backup-simplify]: Simplify -1 into -1
5.351 * [taylor]: Taking taylor expansion of phi1 in lambda1
5.351 * [backup-simplify]: Simplify phi1 into phi1
5.351 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1)
5.351 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1))
5.351 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1))
5.351 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))))) in lambda1
5.351 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda1
5.351 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda1
5.351 * [taylor]: Taking taylor expansion of -1 in lambda1
5.351 * [backup-simplify]: Simplify -1 into -1
5.351 * [taylor]: Taking taylor expansion of phi2 in lambda1
5.351 * [backup-simplify]: Simplify phi2 into phi2
5.351 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2)
5.351 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2))
5.351 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2))
5.351 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2)))) in lambda1
5.351 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1
5.351 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1
5.351 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1
5.351 * [taylor]: Taking taylor expansion of -1 in lambda1
5.351 * [backup-simplify]: Simplify -1 into -1
5.351 * [taylor]: Taking taylor expansion of lambda1 in lambda1
5.351 * [backup-simplify]: Simplify 0 into 0
5.351 * [backup-simplify]: Simplify 1 into 1
5.352 * [backup-simplify]: Simplify (/ -1 1) into -1
5.352 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1))
5.352 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1
5.352 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1
5.352 * [taylor]: Taking taylor expansion of -1 in lambda1
5.352 * [backup-simplify]: Simplify -1 into -1
5.352 * [taylor]: Taking taylor expansion of lambda2 in lambda1
5.352 * [backup-simplify]: Simplify lambda2 into lambda2
5.352 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2)
5.352 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2))
5.353 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2))
5.353 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in lambda1
5.353 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in lambda1
5.353 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1
5.353 * [taylor]: Taking taylor expansion of -1 in lambda1
5.353 * [backup-simplify]: Simplify -1 into -1
5.353 * [taylor]: Taking taylor expansion of lambda1 in lambda1
5.353 * [backup-simplify]: Simplify 0 into 0
5.353 * [backup-simplify]: Simplify 1 into 1
5.353 * [backup-simplify]: Simplify (/ -1 1) into -1
5.353 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1))
5.353 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in lambda1
5.353 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1
5.353 * [taylor]: Taking taylor expansion of -1 in lambda1
5.353 * [backup-simplify]: Simplify -1 into -1
5.353 * [taylor]: Taking taylor expansion of lambda2 in lambda1
5.353 * [backup-simplify]: Simplify lambda2 into lambda2
5.353 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2)
5.354 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2))
5.354 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2))
5.354 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2)))))) in phi2
5.354 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi2
5.354 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2
5.354 * [taylor]: Taking taylor expansion of -1 in phi2
5.354 * [backup-simplify]: Simplify -1 into -1
5.354 * [taylor]: Taking taylor expansion of phi1 in phi2
5.354 * [backup-simplify]: Simplify phi1 into phi1
5.354 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1)
5.354 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1))
5.354 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1))
5.354 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))))) in phi2
5.354 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi2
5.354 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2
5.354 * [taylor]: Taking taylor expansion of -1 in phi2
5.354 * [backup-simplify]: Simplify -1 into -1
5.354 * [taylor]: Taking taylor expansion of phi2 in phi2
5.354 * [backup-simplify]: Simplify 0 into 0
5.354 * [backup-simplify]: Simplify 1 into 1
5.355 * [backup-simplify]: Simplify (/ -1 1) into -1
5.355 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2))
5.355 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2)))) in phi2
5.355 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in phi2
5.355 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in phi2
5.355 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi2
5.355 * [taylor]: Taking taylor expansion of -1 in phi2
5.355 * [backup-simplify]: Simplify -1 into -1
5.355 * [taylor]: Taking taylor expansion of lambda1 in phi2
5.355 * [backup-simplify]: Simplify lambda1 into lambda1
5.355 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1)
5.355 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1))
5.355 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1))
5.355 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in phi2
5.355 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi2
5.355 * [taylor]: Taking taylor expansion of -1 in phi2
5.355 * [backup-simplify]: Simplify -1 into -1
5.355 * [taylor]: Taking taylor expansion of lambda2 in phi2
5.356 * [backup-simplify]: Simplify lambda2 into lambda2
5.356 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2)
5.356 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2))
5.356 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2))
5.356 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in phi2
5.356 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in phi2
5.356 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi2
5.356 * [taylor]: Taking taylor expansion of -1 in phi2
5.356 * [backup-simplify]: Simplify -1 into -1
5.356 * [taylor]: Taking taylor expansion of lambda1 in phi2
5.356 * [backup-simplify]: Simplify lambda1 into lambda1
5.356 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1)
5.356 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1))
5.356 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1))
5.356 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in phi2
5.356 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi2
5.356 * [taylor]: Taking taylor expansion of -1 in phi2
5.356 * [backup-simplify]: Simplify -1 into -1
5.356 * [taylor]: Taking taylor expansion of lambda2 in phi2
5.356 * [backup-simplify]: Simplify lambda2 into lambda2
5.356 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2)
5.356 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2))
5.356 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2))
5.357 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2)))))) in phi1
5.357 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi1
5.357 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1
5.357 * [taylor]: Taking taylor expansion of -1 in phi1
5.357 * [backup-simplify]: Simplify -1 into -1
5.357 * [taylor]: Taking taylor expansion of phi1 in phi1
5.357 * [backup-simplify]: Simplify 0 into 0
5.357 * [backup-simplify]: Simplify 1 into 1
5.357 * [backup-simplify]: Simplify (/ -1 1) into -1
5.357 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1))
5.357 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))))) in phi1
5.357 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi1
5.358 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1
5.358 * [taylor]: Taking taylor expansion of -1 in phi1
5.358 * [backup-simplify]: Simplify -1 into -1
5.358 * [taylor]: Taking taylor expansion of phi2 in phi1
5.358 * [backup-simplify]: Simplify phi2 into phi2
5.358 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2)
5.358 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2))
5.358 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2))
5.358 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2)))) in phi1
5.358 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in phi1
5.358 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in phi1
5.358 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi1
5.358 * [taylor]: Taking taylor expansion of -1 in phi1
5.358 * [backup-simplify]: Simplify -1 into -1
5.358 * [taylor]: Taking taylor expansion of lambda1 in phi1
5.358 * [backup-simplify]: Simplify lambda1 into lambda1
5.358 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1)
5.358 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1))
5.358 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1))
5.358 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in phi1
5.358 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi1
5.358 * [taylor]: Taking taylor expansion of -1 in phi1
5.358 * [backup-simplify]: Simplify -1 into -1
5.358 * [taylor]: Taking taylor expansion of lambda2 in phi1
5.358 * [backup-simplify]: Simplify lambda2 into lambda2
5.358 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2)
5.359 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2))
5.359 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2))
5.359 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in phi1
5.359 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in phi1
5.359 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi1
5.359 * [taylor]: Taking taylor expansion of -1 in phi1
5.359 * [backup-simplify]: Simplify -1 into -1
5.359 * [taylor]: Taking taylor expansion of lambda1 in phi1
5.359 * [backup-simplify]: Simplify lambda1 into lambda1
5.359 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1)
5.359 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1))
5.359 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1))
5.359 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in phi1
5.359 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi1
5.359 * [taylor]: Taking taylor expansion of -1 in phi1
5.359 * [backup-simplify]: Simplify -1 into -1
5.359 * [taylor]: Taking taylor expansion of lambda2 in phi1
5.359 * [backup-simplify]: Simplify lambda2 into lambda2
5.359 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2)
5.359 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2))
5.359 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2))
5.359 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2)))))) in phi1
5.359 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi1
5.359 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1
5.359 * [taylor]: Taking taylor expansion of -1 in phi1
5.360 * [backup-simplify]: Simplify -1 into -1
5.360 * [taylor]: Taking taylor expansion of phi1 in phi1
5.360 * [backup-simplify]: Simplify 0 into 0
5.360 * [backup-simplify]: Simplify 1 into 1
5.360 * [backup-simplify]: Simplify (/ -1 1) into -1
5.360 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1))
5.360 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))))) in phi1
5.360 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi1
5.360 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1
5.360 * [taylor]: Taking taylor expansion of -1 in phi1
5.360 * [backup-simplify]: Simplify -1 into -1
5.360 * [taylor]: Taking taylor expansion of phi2 in phi1
5.360 * [backup-simplify]: Simplify phi2 into phi2
5.361 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2)
5.361 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2))
5.361 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2))
5.361 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2)))) in phi1
5.361 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in phi1
5.361 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in phi1
5.361 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi1
5.361 * [taylor]: Taking taylor expansion of -1 in phi1
5.361 * [backup-simplify]: Simplify -1 into -1
5.361 * [taylor]: Taking taylor expansion of lambda1 in phi1
5.361 * [backup-simplify]: Simplify lambda1 into lambda1
5.361 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1)
5.361 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1))
5.361 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1))
5.361 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in phi1
5.361 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi1
5.361 * [taylor]: Taking taylor expansion of -1 in phi1
5.361 * [backup-simplify]: Simplify -1 into -1
5.361 * [taylor]: Taking taylor expansion of lambda2 in phi1
5.361 * [backup-simplify]: Simplify lambda2 into lambda2
5.361 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2)
5.361 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2))
5.361 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2))
5.361 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in phi1
5.361 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in phi1
5.362 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi1
5.362 * [taylor]: Taking taylor expansion of -1 in phi1
5.362 * [backup-simplify]: Simplify -1 into -1
5.362 * [taylor]: Taking taylor expansion of lambda1 in phi1
5.362 * [backup-simplify]: Simplify lambda1 into lambda1
5.362 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1)
5.362 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1))
5.362 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1))
5.362 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in phi1
5.362 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi1
5.362 * [taylor]: Taking taylor expansion of -1 in phi1
5.362 * [backup-simplify]: Simplify -1 into -1
5.362 * [taylor]: Taking taylor expansion of lambda2 in phi1
5.362 * [backup-simplify]: Simplify lambda2 into lambda2
5.362 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2)
5.362 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2))
5.362 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2))
5.362 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) 1) into (cos (/ -1 phi2))
5.362 * [backup-simplify]: Simplify (* (sin (/ -1 phi2)) 0) into 0
5.363 * [backup-simplify]: Simplify (- 0) into 0
5.363 * [backup-simplify]: Simplify (+ (cos (/ -1 phi2)) 0) into (cos (/ -1 phi2))
5.363 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) 1) into (sin (/ -1 lambda1))
5.363 * [backup-simplify]: Simplify (* (cos (/ -1 lambda1)) 0) into 0
5.363 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda1)) 0) into (sin (/ -1 lambda1))
5.363 * [backup-simplify]: Simplify (* (sin (/ -1 lambda2)) 1) into (sin (/ -1 lambda2))
5.363 * [backup-simplify]: Simplify (* (cos (/ -1 lambda2)) 0) into 0
5.363 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda2)) 0) into (sin (/ -1 lambda2))
5.363 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))
5.363 * [backup-simplify]: Simplify (* (cos (/ -1 lambda1)) 1) into (cos (/ -1 lambda1))
5.363 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) 0) into 0
5.364 * [backup-simplify]: Simplify (- 0) into 0
5.364 * [backup-simplify]: Simplify (+ (cos (/ -1 lambda1)) 0) into (cos (/ -1 lambda1))
5.364 * [backup-simplify]: Simplify (* (cos (/ -1 lambda2)) 1) into (cos (/ -1 lambda2))
5.364 * [backup-simplify]: Simplify (* (sin (/ -1 lambda2)) 0) into 0
5.364 * [backup-simplify]: Simplify (- 0) into 0
5.364 * [backup-simplify]: Simplify (+ (cos (/ -1 lambda2)) 0) into (cos (/ -1 lambda2))
5.364 * [backup-simplify]: Simplify (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) into (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2)))
5.364 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2)))) into (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))))
5.364 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))))) into (* (cos (/ -1 phi2)) (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2)))))
5.365 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2)))))) into (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))))))
5.365 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2)))))) in phi2
5.365 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi2
5.365 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2
5.365 * [taylor]: Taking taylor expansion of -1 in phi2
5.365 * [backup-simplify]: Simplify -1 into -1
5.365 * [taylor]: Taking taylor expansion of phi1 in phi2
5.365 * [backup-simplify]: Simplify phi1 into phi1
5.365 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1)
5.365 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1))
5.365 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1))
5.365 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))))) in phi2
5.365 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi2
5.365 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2
5.365 * [taylor]: Taking taylor expansion of -1 in phi2
5.365 * [backup-simplify]: Simplify -1 into -1
5.365 * [taylor]: Taking taylor expansion of phi2 in phi2
5.365 * [backup-simplify]: Simplify 0 into 0
5.365 * [backup-simplify]: Simplify 1 into 1
5.365 * [backup-simplify]: Simplify (/ -1 1) into -1
5.365 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2))
5.365 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2)))) in phi2
5.365 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in phi2
5.365 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in phi2
5.365 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi2
5.365 * [taylor]: Taking taylor expansion of -1 in phi2
5.365 * [backup-simplify]: Simplify -1 into -1
5.365 * [taylor]: Taking taylor expansion of lambda1 in phi2
5.365 * [backup-simplify]: Simplify lambda1 into lambda1
5.365 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1)
5.365 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1))
5.365 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1))
5.366 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in phi2
5.366 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi2
5.366 * [taylor]: Taking taylor expansion of -1 in phi2
5.366 * [backup-simplify]: Simplify -1 into -1
5.366 * [taylor]: Taking taylor expansion of lambda2 in phi2
5.366 * [backup-simplify]: Simplify lambda2 into lambda2
5.366 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2)
5.366 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2))
5.366 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2))
5.366 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in phi2
5.366 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in phi2
5.366 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi2
5.366 * [taylor]: Taking taylor expansion of -1 in phi2
5.366 * [backup-simplify]: Simplify -1 into -1
5.366 * [taylor]: Taking taylor expansion of lambda1 in phi2
5.366 * [backup-simplify]: Simplify lambda1 into lambda1
5.366 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1)
5.366 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1))
5.366 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1))
5.366 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in phi2
5.366 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi2
5.366 * [taylor]: Taking taylor expansion of -1 in phi2
5.366 * [backup-simplify]: Simplify -1 into -1
5.366 * [taylor]: Taking taylor expansion of lambda2 in phi2
5.366 * [backup-simplify]: Simplify lambda2 into lambda2
5.366 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2)
5.366 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2))
5.366 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2))
5.366 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) 1) into (cos (/ -1 phi1))
5.366 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) 0) into 0
5.367 * [backup-simplify]: Simplify (- 0) into 0
5.367 * [backup-simplify]: Simplify (+ (cos (/ -1 phi1)) 0) into (cos (/ -1 phi1))
5.367 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) 1) into (sin (/ -1 lambda1))
5.367 * [backup-simplify]: Simplify (* (cos (/ -1 lambda1)) 0) into 0
5.367 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda1)) 0) into (sin (/ -1 lambda1))
5.367 * [backup-simplify]: Simplify (* (sin (/ -1 lambda2)) 1) into (sin (/ -1 lambda2))
5.367 * [backup-simplify]: Simplify (* (cos (/ -1 lambda2)) 0) into 0
5.367 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda2)) 0) into (sin (/ -1 lambda2))
5.367 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))
5.367 * [backup-simplify]: Simplify (* (cos (/ -1 lambda1)) 1) into (cos (/ -1 lambda1))
5.367 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) 0) into 0
5.367 * [backup-simplify]: Simplify (- 0) into 0
5.367 * [backup-simplify]: Simplify (+ (cos (/ -1 lambda1)) 0) into (cos (/ -1 lambda1))
5.367 * [backup-simplify]: Simplify (* (cos (/ -1 lambda2)) 1) into (cos (/ -1 lambda2))
5.367 * [backup-simplify]: Simplify (* (sin (/ -1 lambda2)) 0) into 0
5.368 * [backup-simplify]: Simplify (- 0) into 0
5.368 * [backup-simplify]: Simplify (+ (cos (/ -1 lambda2)) 0) into (cos (/ -1 lambda2))
5.368 * [backup-simplify]: Simplify (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) into (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2)))
5.368 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2)))) into (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))))
5.368 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))))) into (* (cos (/ -1 phi2)) (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2)))))
5.368 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2)))))) into (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))))))
5.368 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2)))))) in lambda1
5.368 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda1
5.368 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda1
5.368 * [taylor]: Taking taylor expansion of -1 in lambda1
5.368 * [backup-simplify]: Simplify -1 into -1
5.368 * [taylor]: Taking taylor expansion of phi1 in lambda1
5.368 * [backup-simplify]: Simplify phi1 into phi1
5.369 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1)
5.369 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1))
5.369 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1))
5.369 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))))) in lambda1
5.369 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda1
5.369 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda1
5.369 * [taylor]: Taking taylor expansion of -1 in lambda1
5.369 * [backup-simplify]: Simplify -1 into -1
5.369 * [taylor]: Taking taylor expansion of phi2 in lambda1
5.369 * [backup-simplify]: Simplify phi2 into phi2
5.369 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2)
5.369 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2))
5.369 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2))
5.369 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2)))) in lambda1
5.369 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1
5.369 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1
5.369 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1
5.369 * [taylor]: Taking taylor expansion of -1 in lambda1
5.369 * [backup-simplify]: Simplify -1 into -1
5.369 * [taylor]: Taking taylor expansion of lambda1 in lambda1
5.369 * [backup-simplify]: Simplify 0 into 0
5.369 * [backup-simplify]: Simplify 1 into 1
5.369 * [backup-simplify]: Simplify (/ -1 1) into -1
5.369 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1))
5.369 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1
5.369 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1
5.369 * [taylor]: Taking taylor expansion of -1 in lambda1
5.369 * [backup-simplify]: Simplify -1 into -1
5.369 * [taylor]: Taking taylor expansion of lambda2 in lambda1
5.369 * [backup-simplify]: Simplify lambda2 into lambda2
5.369 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2)
5.370 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2))
5.370 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2))
5.370 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in lambda1
5.370 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in lambda1
5.370 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1
5.370 * [taylor]: Taking taylor expansion of -1 in lambda1
5.370 * [backup-simplify]: Simplify -1 into -1
5.370 * [taylor]: Taking taylor expansion of lambda1 in lambda1
5.370 * [backup-simplify]: Simplify 0 into 0
5.370 * [backup-simplify]: Simplify 1 into 1
5.370 * [backup-simplify]: Simplify (/ -1 1) into -1
5.370 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1))
5.370 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in lambda1
5.370 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1
5.370 * [taylor]: Taking taylor expansion of -1 in lambda1
5.370 * [backup-simplify]: Simplify -1 into -1
5.370 * [taylor]: Taking taylor expansion of lambda2 in lambda1
5.370 * [backup-simplify]: Simplify lambda2 into lambda2
5.370 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2)
5.370 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2))
5.370 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2))
5.370 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) 1) into (cos (/ -1 phi1))
5.370 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) 0) into 0
5.371 * [backup-simplify]: Simplify (- 0) into 0
5.371 * [backup-simplify]: Simplify (+ (cos (/ -1 phi1)) 0) into (cos (/ -1 phi1))
5.371 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) 1) into (cos (/ -1 phi2))
5.371 * [backup-simplify]: Simplify (* (sin (/ -1 phi2)) 0) into 0
5.371 * [backup-simplify]: Simplify (- 0) into 0
5.371 * [backup-simplify]: Simplify (+ (cos (/ -1 phi2)) 0) into (cos (/ -1 phi2))
5.371 * [backup-simplify]: Simplify (* (sin (/ -1 lambda2)) 1) into (sin (/ -1 lambda2))
5.371 * [backup-simplify]: Simplify (* (cos (/ -1 lambda2)) 0) into 0
5.371 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda2)) 0) into (sin (/ -1 lambda2))
5.371 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))
5.371 * [backup-simplify]: Simplify (* (cos (/ -1 lambda2)) 1) into (cos (/ -1 lambda2))
5.371 * [backup-simplify]: Simplify (* (sin (/ -1 lambda2)) 0) into 0
5.372 * [backup-simplify]: Simplify (- 0) into 0
5.372 * [backup-simplify]: Simplify (+ (cos (/ -1 lambda2)) 0) into (cos (/ -1 lambda2))
5.372 * [backup-simplify]: Simplify (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) into (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2)))
5.372 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2)))) into (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))))
5.372 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))))) into (* (cos (/ -1 phi2)) (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2)))))
5.372 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2)))))) into (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))))))
5.372 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2)))))) in lambda2
5.372 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda2
5.372 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda2
5.372 * [taylor]: Taking taylor expansion of -1 in lambda2
5.372 * [backup-simplify]: Simplify -1 into -1
5.372 * [taylor]: Taking taylor expansion of phi1 in lambda2
5.372 * [backup-simplify]: Simplify phi1 into phi1
5.372 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1)
5.373 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1))
5.373 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1))
5.373 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))))) in lambda2
5.373 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda2
5.373 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda2
5.373 * [taylor]: Taking taylor expansion of -1 in lambda2
5.373 * [backup-simplify]: Simplify -1 into -1
5.373 * [taylor]: Taking taylor expansion of phi2 in lambda2
5.373 * [backup-simplify]: Simplify phi2 into phi2
5.373 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2)
5.373 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2))
5.373 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2))
5.373 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2)))) in lambda2
5.373 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2
5.373 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2
5.373 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2
5.373 * [taylor]: Taking taylor expansion of -1 in lambda2
5.373 * [backup-simplify]: Simplify -1 into -1
5.373 * [taylor]: Taking taylor expansion of lambda1 in lambda2
5.373 * [backup-simplify]: Simplify lambda1 into lambda1
5.373 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1)
5.373 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1))
5.373 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1))
5.373 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2
5.373 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2
5.373 * [taylor]: Taking taylor expansion of -1 in lambda2
5.373 * [backup-simplify]: Simplify -1 into -1
5.373 * [taylor]: Taking taylor expansion of lambda2 in lambda2
5.373 * [backup-simplify]: Simplify 0 into 0
5.373 * [backup-simplify]: Simplify 1 into 1
5.373 * [backup-simplify]: Simplify (/ -1 1) into -1
5.374 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2))
5.374 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in lambda2
5.374 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in lambda2
5.374 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2
5.374 * [taylor]: Taking taylor expansion of -1 in lambda2
5.374 * [backup-simplify]: Simplify -1 into -1
5.374 * [taylor]: Taking taylor expansion of lambda1 in lambda2
5.374 * [backup-simplify]: Simplify lambda1 into lambda1
5.374 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1)
5.374 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1))
5.374 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1))
5.374 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in lambda2
5.374 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2
5.374 * [taylor]: Taking taylor expansion of -1 in lambda2
5.374 * [backup-simplify]: Simplify -1 into -1
5.374 * [taylor]: Taking taylor expansion of lambda2 in lambda2
5.374 * [backup-simplify]: Simplify 0 into 0
5.374 * [backup-simplify]: Simplify 1 into 1
5.374 * [backup-simplify]: Simplify (/ -1 1) into -1
5.374 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2))
5.374 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) 1) into (cos (/ -1 phi1))
5.374 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) 0) into 0
5.375 * [backup-simplify]: Simplify (- 0) into 0
5.375 * [backup-simplify]: Simplify (+ (cos (/ -1 phi1)) 0) into (cos (/ -1 phi1))
5.375 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) 1) into (cos (/ -1 phi2))
5.375 * [backup-simplify]: Simplify (* (sin (/ -1 phi2)) 0) into 0
5.375 * [backup-simplify]: Simplify (- 0) into 0
5.375 * [backup-simplify]: Simplify (+ (cos (/ -1 phi2)) 0) into (cos (/ -1 phi2))
5.375 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) 1) into (sin (/ -1 lambda1))
5.375 * [backup-simplify]: Simplify (* (cos (/ -1 lambda1)) 0) into 0
5.375 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda1)) 0) into (sin (/ -1 lambda1))
5.375 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))
5.375 * [backup-simplify]: Simplify (* (cos (/ -1 lambda1)) 1) into (cos (/ -1 lambda1))
5.375 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) 0) into 0
5.376 * [backup-simplify]: Simplify (- 0) into 0
5.376 * [backup-simplify]: Simplify (+ (cos (/ -1 lambda1)) 0) into (cos (/ -1 lambda1))
5.376 * [backup-simplify]: Simplify (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) into (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2)))
5.376 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2)))) into (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))))
5.376 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))))) into (* (cos (/ -1 phi2)) (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2)))))
5.376 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2)))))) into (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))))))
5.376 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2)))))) into (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))))))
5.377 * [backup-simplify]: Simplify (+ 0) into 0
5.377 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (* 0 1)) into 0
5.377 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)))) into 0
5.378 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
5.378 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (* 0 0)) into 0
5.378 * [backup-simplify]: Simplify (+ 0 0) into 0
5.378 * [backup-simplify]: Simplify (+ 0) into 0
5.379 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 1)) into 0
5.379 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)))) into 0
5.379 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
5.380 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (* 0 0)) into 0
5.382 * [backup-simplify]: Simplify (+ 0 0) into 0
5.382 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (sin (/ -1 lambda2)))) into 0
5.383 * [backup-simplify]: Simplify (+ 0) into 0
5.383 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (* 0 1)) into 0
5.383 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)))) into 0
5.384 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
5.384 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (* 0 0)) into 0
5.384 * [backup-simplify]: Simplify (- 0) into 0
5.384 * [backup-simplify]: Simplify (+ 0 0) into 0
5.385 * [backup-simplify]: Simplify (+ 0) into 0
5.385 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (* 0 1)) into 0
5.385 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)))) into 0
5.385 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
5.386 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 0)) into 0
5.386 * [backup-simplify]: Simplify (- 0) into 0
5.386 * [backup-simplify]: Simplify (+ 0 0) into 0
5.386 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (* 0 (cos (/ -1 lambda2)))) into 0
5.387 * [backup-simplify]: Simplify (+ 0 0) into 0
5.387 * [backup-simplify]: Simplify (+ 0) into 0
5.387 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 1)) into 0
5.387 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)))) into 0
5.388 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
5.388 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (* 0 0)) into 0
5.388 * [backup-simplify]: Simplify (- 0) into 0
5.388 * [backup-simplify]: Simplify (+ 0 0) into 0
5.389 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2)))))) into 0
5.389 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 (* (cos (/ -1 phi2)) (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))))))) into 0
5.389 * [taylor]: Taking taylor expansion of 0 in phi2
5.389 * [backup-simplify]: Simplify 0 into 0
5.389 * [taylor]: Taking taylor expansion of 0 in lambda1
5.389 * [backup-simplify]: Simplify 0 into 0
5.389 * [taylor]: Taking taylor expansion of 0 in lambda2
5.389 * [backup-simplify]: Simplify 0 into 0
5.389 * [backup-simplify]: Simplify 0 into 0
5.389 * [backup-simplify]: Simplify (+ 0) into 0
5.390 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (* 0 1)) into 0
5.390 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)))) into 0
5.390 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
5.390 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (* 0 0)) into 0
5.391 * [backup-simplify]: Simplify (+ 0 0) into 0
5.391 * [backup-simplify]: Simplify (+ 0) into 0
5.391 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 1)) into 0
5.391 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)))) into 0
5.392 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
5.392 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (* 0 0)) into 0
5.392 * [backup-simplify]: Simplify (+ 0 0) into 0
5.392 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (sin (/ -1 lambda2)))) into 0
5.393 * [backup-simplify]: Simplify (+ 0) into 0
5.393 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (* 0 1)) into 0
5.393 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)))) into 0
5.394 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
5.394 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (* 0 0)) into 0
5.394 * [backup-simplify]: Simplify (- 0) into 0
5.394 * [backup-simplify]: Simplify (+ 0 0) into 0
5.395 * [backup-simplify]: Simplify (+ 0) into 0
5.395 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (* 0 1)) into 0
5.395 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)))) into 0
5.396 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
5.397 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 0)) into 0
5.397 * [backup-simplify]: Simplify (- 0) into 0
5.397 * [backup-simplify]: Simplify (+ 0 0) into 0
5.397 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (* 0 (cos (/ -1 lambda2)))) into 0
5.398 * [backup-simplify]: Simplify (+ 0 0) into 0
5.398 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2)))))) into 0
5.398 * [backup-simplify]: Simplify (+ 0) into 0
5.399 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 1)) into 0
5.399 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)))) into 0
5.399 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
5.400 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 0)) into 0
5.400 * [backup-simplify]: Simplify (- 0) into 0
5.400 * [backup-simplify]: Simplify (+ 0 0) into 0
5.400 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 (* (cos (/ -1 phi2)) (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))))))) into 0
5.400 * [taylor]: Taking taylor expansion of 0 in lambda1
5.400 * [backup-simplify]: Simplify 0 into 0
5.400 * [taylor]: Taking taylor expansion of 0 in lambda2
5.400 * [backup-simplify]: Simplify 0 into 0
5.400 * [backup-simplify]: Simplify 0 into 0
5.401 * [backup-simplify]: Simplify (+ 0) into 0
5.401 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (* 0 1)) into 0
5.401 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)))) into 0
5.402 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
5.402 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (* 0 0)) into 0
5.402 * [backup-simplify]: Simplify (+ 0 0) into 0
5.402 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (sin (/ -1 lambda2)))) into 0
5.402 * [backup-simplify]: Simplify (+ 0) into 0
5.403 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (* 0 1)) into 0
5.403 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)))) into 0
5.403 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
5.404 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (* 0 0)) into 0
5.404 * [backup-simplify]: Simplify (- 0) into 0
5.404 * [backup-simplify]: Simplify (+ 0 0) into 0
5.404 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (* 0 (cos (/ -1 lambda2)))) into 0
5.404 * [backup-simplify]: Simplify (+ 0 0) into 0
5.405 * [backup-simplify]: Simplify (+ 0) into 0
5.405 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 1)) into 0
5.405 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)))) into 0
5.405 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
5.406 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (* 0 0)) into 0
5.406 * [backup-simplify]: Simplify (- 0) into 0
5.406 * [backup-simplify]: Simplify (+ 0 0) into 0
5.406 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2)))))) into 0
5.407 * [backup-simplify]: Simplify (+ 0) into 0
5.407 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 1)) into 0
5.407 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)))) into 0
5.407 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
5.408 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 0)) into 0
5.408 * [backup-simplify]: Simplify (- 0) into 0
5.408 * [backup-simplify]: Simplify (+ 0 0) into 0
5.408 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 (* (cos (/ -1 phi2)) (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))))))) into 0
5.408 * [taylor]: Taking taylor expansion of 0 in lambda2
5.408 * [backup-simplify]: Simplify 0 into 0
5.409 * [backup-simplify]: Simplify 0 into 0
5.409 * [backup-simplify]: Simplify (+ 0) into 0
5.409 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 1)) into 0
5.409 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)))) into 0
5.410 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
5.410 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (* 0 0)) into 0
5.410 * [backup-simplify]: Simplify (+ 0 0) into 0
5.410 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (sin (/ -1 lambda2)))) into 0
5.411 * [backup-simplify]: Simplify (+ 0) into 0
5.411 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (* 0 1)) into 0
5.411 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)))) into 0
5.411 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
5.412 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 0)) into 0
5.412 * [backup-simplify]: Simplify (- 0) into 0
5.412 * [backup-simplify]: Simplify (+ 0 0) into 0
5.412 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (* 0 (cos (/ -1 lambda2)))) into 0
5.412 * [backup-simplify]: Simplify (+ 0 0) into 0
5.413 * [backup-simplify]: Simplify (+ 0) into 0
5.413 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 1)) into 0
5.413 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)))) into 0
5.414 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
5.414 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (* 0 0)) into 0
5.414 * [backup-simplify]: Simplify (- 0) into 0
5.414 * [backup-simplify]: Simplify (+ 0 0) into 0
5.414 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2)))))) into 0
5.415 * [backup-simplify]: Simplify (+ 0) into 0
5.415 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 1)) into 0
5.415 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)))) into 0
5.416 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
5.416 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 0)) into 0
5.416 * [backup-simplify]: Simplify (- 0) into 0
5.416 * [backup-simplify]: Simplify (+ 0 0) into 0
5.417 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 (* (cos (/ -1 phi2)) (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))))))) into 0
5.417 * [backup-simplify]: Simplify 0 into 0
5.417 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
5.418 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0
5.418 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0
5.418 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
5.419 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0
5.419 * [backup-simplify]: Simplify (+ 0 0) into 0
5.419 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
5.420 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0
5.420 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0
5.420 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
5.421 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0
5.421 * [backup-simplify]: Simplify (+ 0 0) into 0
5.421 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2))))) into 0
5.422 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
5.422 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0
5.423 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0
5.423 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
5.424 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0
5.424 * [backup-simplify]: Simplify (- 0) into 0
5.425 * [backup-simplify]: Simplify (+ 0 0) into 0
5.425 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
5.426 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0
5.426 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0
5.427 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
5.428 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0
5.428 * [backup-simplify]: Simplify (- 0) into 0
5.429 * [backup-simplify]: Simplify (+ 0 0) into 0
5.429 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (cos (/ -1 lambda2))))) into 0
5.429 * [backup-simplify]: Simplify (+ 0 0) into 0
5.431 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
5.431 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0
5.432 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
5.432 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
5.433 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0
5.433 * [backup-simplify]: Simplify (- 0) into 0
5.434 * [backup-simplify]: Simplify (+ 0 0) into 0
5.434 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (* 0 (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))))))) into 0
5.435 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (* (cos (/ -1 phi2)) (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2)))))))) into 0
5.435 * [taylor]: Taking taylor expansion of 0 in phi2
5.435 * [backup-simplify]: Simplify 0 into 0
5.435 * [taylor]: Taking taylor expansion of 0 in lambda1
5.435 * [backup-simplify]: Simplify 0 into 0
5.435 * [taylor]: Taking taylor expansion of 0 in lambda2
5.435 * [backup-simplify]: Simplify 0 into 0
5.436 * [backup-simplify]: Simplify 0 into 0
5.436 * [taylor]: Taking taylor expansion of 0 in lambda1
5.436 * [backup-simplify]: Simplify 0 into 0
5.436 * [taylor]: Taking taylor expansion of 0 in lambda2
5.436 * [backup-simplify]: Simplify 0 into 0
5.436 * [backup-simplify]: Simplify 0 into 0
5.436 * [backup-simplify]: Simplify (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (+ (* (sin (/ -1 (/ 1 (- lambda1)))) (sin (/ -1 (/ 1 (- lambda2))))) (* (cos (/ -1 (/ 1 (- lambda1)))) (cos (/ -1 (/ 1 (- lambda2)))))))) into (* (cos phi1) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)))
5.436 * * * [progress]: simplifying candidates
5.436 * * * * [progress]: [ 1 / 88 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R))>
5.437 * * * * [progress]: [ 2 / 88 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (pow (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 1) R))>
5.437 * * * * [progress]: [ 3 / 88 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))>
5.437 * * * * [progress]: [ 4 / 88 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))>
5.437 * * * * [progress]: [ 5 / 88 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))>
5.437 * * * * [progress]: [ 6 / 88 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (cbrt (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))>
5.437 * * * * [progress]: [ 7 / 88 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))>
5.437 * * * * [progress]: [ 8 / 88 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* 1 (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R))>
5.437 * * * * [progress]: [ 9 / 88 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (posit16->real (real->posit16 (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))>
5.437 * * * * [progress]: [ 10 / 88 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) 1))>
5.438 * [simplify]: Simplifying (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)
5.438 * * [simplify]: iters left: 6 (22 enodes)
5.447 * * [simplify]: iters left: 5 (82 enodes)
5.459 * * [simplify]: iters left: 4 (144 enodes)
5.485 * * [simplify]: iters left: 3 (254 enodes)
5.543 * * [simplify]: iters left: 2 (346 enodes)
5.620 * * [simplify]: Extracting #0: cost 1 inf + 0
5.620 * * [simplify]: Extracting #1: cost 4 inf + 0
5.620 * * [simplify]: Extracting #2: cost 5 inf + 1
5.620 * * [simplify]: Extracting #3: cost 12 inf + 1
5.621 * * [simplify]: Extracting #4: cost 48 inf + 1
5.621 * * [simplify]: Extracting #5: cost 82 inf + 1
5.621 * * [simplify]: Extracting #6: cost 70 inf + 594
5.622 * * [simplify]: Extracting #7: cost 51 inf + 3167
5.624 * * [simplify]: Extracting #8: cost 13 inf + 13749
5.627 * * [simplify]: Extracting #9: cost 4 inf + 18141
5.630 * * [simplify]: Extracting #10: cost 1 inf + 20744
5.634 * * [simplify]: Extracting #11: cost 0 inf + 21559
5.638 * * [simplify]: Extracting #12: cost 0 inf + 21519
5.641 * [simplify]: Simplified to (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))))) R)
5.641 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (pow (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))))) R) 1))
5.642 * * * * [progress]: [ 11 / 88 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) 1))>
5.642 * * * * [progress]: [ 12 / 88 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (exp (+ (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (log R))))>
5.643 * [simplify]: Simplifying (+ (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (log R))
5.643 * * [simplify]: iters left: 6 (24 enodes)
5.649 * * [simplify]: iters left: 5 (88 enodes)
5.675 * * [simplify]: iters left: 4 (150 enodes)
5.727 * * [simplify]: iters left: 3 (260 enodes)
5.816 * * [simplify]: iters left: 2 (361 enodes)
5.927 * * [simplify]: Extracting #0: cost 1 inf + 0
5.927 * * [simplify]: Extracting #1: cost 4 inf + 0
5.927 * * [simplify]: Extracting #2: cost 8 inf + 0
5.927 * * [simplify]: Extracting #3: cost 7 inf + 143
5.928 * * [simplify]: Extracting #4: cost 14 inf + 143
5.928 * * [simplify]: Extracting #5: cost 50 inf + 143
5.928 * * [simplify]: Extracting #6: cost 84 inf + 143
5.929 * * [simplify]: Extracting #7: cost 71 inf + 898
5.932 * * [simplify]: Extracting #8: cost 31 inf + 9809
5.938 * * [simplify]: Extracting #9: cost 9 inf + 17595
5.945 * * [simplify]: Extracting #10: cost 2 inf + 21990
5.953 * * [simplify]: Extracting #11: cost 0 inf + 23869
5.961 * * [simplify]: Extracting #12: cost 0 inf + 23789
5.969 * [simplify]: Simplified to (+ (log (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1))))) (log R))
5.969 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (exp (+ (log (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1))))) (log R))))
5.969 * * * * [progress]: [ 13 / 88 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (exp (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))))>
5.969 * * * * [progress]: [ 14 / 88 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (log (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))))>
5.969 * * * * [progress]: [ 15 / 88 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (cbrt (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (* R R) R))))>
5.970 * [simplify]: Simplifying (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (* R R) R))
5.970 * * [simplify]: iters left: 6 (26 enodes)
5.981 * * [simplify]: iters left: 5 (100 enodes)
6.013 * * [simplify]: iters left: 4 (191 enodes)
6.083 * * [simplify]: iters left: 3 (353 enodes)
6.202 * * [simplify]: Extracting #0: cost 1 inf + 0
6.203 * * [simplify]: Extracting #1: cost 23 inf + 0
6.203 * * [simplify]: Extracting #2: cost 48 inf + 2
6.203 * * [simplify]: Extracting #3: cost 52 inf + 166
6.203 * * [simplify]: Extracting #4: cost 104 inf + 672
6.204 * * [simplify]: Extracting #5: cost 137 inf + 884
6.204 * * [simplify]: Extracting #6: cost 120 inf + 1984
6.206 * * [simplify]: Extracting #7: cost 77 inf + 11545
6.210 * * [simplify]: Extracting #8: cost 45 inf + 26064
6.216 * * [simplify]: Extracting #9: cost 30 inf + 37545
6.228 * * [simplify]: Extracting #10: cost 3 inf + 65671
6.243 * * [simplify]: Extracting #11: cost 0 inf + 68685
6.265 * [simplify]: Simplified to (* (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))))) R) (* (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))))) R) (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))))) R)))
6.265 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (cbrt (* (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))))) R) (* (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))))) R) (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))))) R)))))
6.266 * * * * [progress]: [ 16 / 88 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))))>
6.266 * * * * [progress]: [ 17 / 88 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (cbrt (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))))>
6.266 * * * * [progress]: [ 18 / 88 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))))>
6.266 * * * * [progress]: [ 19 / 88 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* 1 (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)))>
6.266 * * * * [progress]: [ 20 / 88 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R))))>
6.266 * [simplify]: Simplifying (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R))
6.267 * * [simplify]: iters left: 6 (24 enodes)
6.277 * * [simplify]: iters left: 5 (88 enodes)
6.297 * * [simplify]: iters left: 4 (150 enodes)
6.322 * * [simplify]: iters left: 3 (260 enodes)
6.403 * * [simplify]: iters left: 2 (361 enodes)
6.465 * * [simplify]: Extracting #0: cost 1 inf + 0
6.465 * * [simplify]: Extracting #1: cost 4 inf + 0
6.465 * * [simplify]: Extracting #2: cost 8 inf + 0
6.465 * * [simplify]: Extracting #3: cost 7 inf + 83
6.465 * * [simplify]: Extracting #4: cost 14 inf + 83
6.465 * * [simplify]: Extracting #5: cost 50 inf + 83
6.466 * * [simplify]: Extracting #6: cost 84 inf + 83
6.467 * * [simplify]: Extracting #7: cost 71 inf + 838
6.469 * * [simplify]: Extracting #8: cost 31 inf + 9749
6.475 * * [simplify]: Extracting #9: cost 9 inf + 17535
6.483 * * [simplify]: Extracting #10: cost 2 inf + 21840
6.487 * * [simplify]: Extracting #11: cost 0 inf + 23629
6.490 * * [simplify]: Extracting #12: cost 0 inf + 23549
6.494 * [simplify]: Simplified to (* (sqrt R) (sqrt (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1))))))
6.494 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt R) (sqrt (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1)))))) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R))))
6.495 * [simplify]: Simplifying (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R))
6.495 * * [simplify]: iters left: 6 (24 enodes)
6.500 * * [simplify]: iters left: 5 (88 enodes)
6.518 * * [simplify]: iters left: 4 (150 enodes)
6.552 * * [simplify]: iters left: 3 (260 enodes)
6.634 * * [simplify]: iters left: 2 (361 enodes)
6.724 * * [simplify]: Extracting #0: cost 1 inf + 0
6.724 * * [simplify]: Extracting #1: cost 4 inf + 0
6.724 * * [simplify]: Extracting #2: cost 8 inf + 0
6.724 * * [simplify]: Extracting #3: cost 7 inf + 83
6.724 * * [simplify]: Extracting #4: cost 14 inf + 83
6.724 * * [simplify]: Extracting #5: cost 50 inf + 83
6.725 * * [simplify]: Extracting #6: cost 84 inf + 83
6.725 * * [simplify]: Extracting #7: cost 71 inf + 838
6.726 * * [simplify]: Extracting #8: cost 31 inf + 9749
6.729 * * [simplify]: Extracting #9: cost 9 inf + 17535
6.733 * * [simplify]: Extracting #10: cost 2 inf + 21840
6.737 * * [simplify]: Extracting #11: cost 0 inf + 23629
6.744 * * [simplify]: Extracting #12: cost 0 inf + 23549
6.751 * [simplify]: Simplified to (* (sqrt R) (sqrt (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1))))))
6.751 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) (* (sqrt R) (sqrt (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1))))))))
6.752 * * * * [progress]: [ 21 / 88 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (cbrt R) (cbrt R))) (cbrt R)))>
6.752 * [simplify]: Simplifying (cbrt R)
6.752 * * [simplify]: iters left: 1 (2 enodes)
6.753 * * [simplify]: Extracting #0: cost 1 inf + 0
6.753 * * [simplify]: Extracting #1: cost 3 inf + 0
6.753 * * [simplify]: Extracting #2: cost 2 inf + 1
6.753 * * [simplify]: Extracting #3: cost 0 inf + 163
6.753 * [simplify]: Simplified to (cbrt R)
6.753 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (cbrt R) (cbrt R))) (cbrt R)))
6.754 * * * * [progress]: [ 22 / 88 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (sqrt R)) (sqrt R)))>
6.754 * [simplify]: Simplifying (sqrt R)
6.754 * * [simplify]: iters left: 1 (2 enodes)
6.755 * * [simplify]: Extracting #0: cost 1 inf + 0
6.755 * * [simplify]: Extracting #1: cost 3 inf + 0
6.755 * * [simplify]: Extracting #2: cost 2 inf + 1
6.755 * * [simplify]: Extracting #3: cost 0 inf + 83
6.755 * [simplify]: Simplified to (sqrt R)
6.755 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (sqrt R)) (sqrt R)))
6.755 * * * * [progress]: [ 23 / 88 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 1) R))>
6.755 * * * * [progress]: [ 24 / 88 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R)))>
6.756 * [simplify]: Simplifying (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))
6.756 * * [simplify]: iters left: 6 (22 enodes)
6.764 * * [simplify]: iters left: 5 (81 enodes)
6.776 * * [simplify]: iters left: 4 (143 enodes)
6.802 * * [simplify]: iters left: 3 (253 enodes)
6.866 * * [simplify]: iters left: 2 (345 enodes)
6.934 * * [simplify]: Extracting #0: cost 1 inf + 0
6.934 * * [simplify]: Extracting #1: cost 3 inf + 0
6.934 * * [simplify]: Extracting #2: cost 5 inf + 0
6.934 * * [simplify]: Extracting #3: cost 7 inf + 0
6.934 * * [simplify]: Extracting #4: cost 14 inf + 0
6.934 * * [simplify]: Extracting #5: cost 50 inf + 0
6.935 * * [simplify]: Extracting #6: cost 84 inf + 0
6.935 * * [simplify]: Extracting #7: cost 73 inf + 431
6.936 * * [simplify]: Extracting #8: cost 49 inf + 4014
6.938 * * [simplify]: Extracting #9: cost 11 inf + 15602
6.942 * * [simplify]: Extracting #10: cost 2 inf + 21596
6.945 * * [simplify]: Extracting #11: cost 1 inf + 22570
6.952 * * [simplify]: Extracting #12: cost 0 inf + 23544
6.959 * [simplify]: Simplified to (* (cbrt (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1))))) (cbrt (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1))))))
6.960 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1))))) (cbrt (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1)))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R)))
6.960 * * * * [progress]: [ 25 / 88 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R)))>
6.960 * [simplify]: Simplifying (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))
6.960 * * [simplify]: iters left: 6 (21 enodes)
6.969 * * [simplify]: iters left: 5 (78 enodes)
6.995 * * [simplify]: iters left: 4 (140 enodes)
7.023 * * [simplify]: iters left: 3 (250 enodes)
7.086 * * [simplify]: iters left: 2 (351 enodes)
7.158 * * [simplify]: Extracting #0: cost 1 inf + 0
7.158 * * [simplify]: Extracting #1: cost 3 inf + 0
7.158 * * [simplify]: Extracting #2: cost 5 inf + 0
7.158 * * [simplify]: Extracting #3: cost 12 inf + 0
7.158 * * [simplify]: Extracting #4: cost 48 inf + 0
7.158 * * [simplify]: Extracting #5: cost 82 inf + 0
7.159 * * [simplify]: Extracting #6: cost 64 inf + 1161
7.160 * * [simplify]: Extracting #7: cost 33 inf + 7871
7.163 * * [simplify]: Extracting #8: cost 7 inf + 16730
7.166 * * [simplify]: Extracting #9: cost 1 inf + 20622
7.170 * * [simplify]: Extracting #10: cost 0 inf + 21516
7.173 * [simplify]: Simplified to (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))))))
7.173 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))))))) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R)))
7.174 * * * * [progress]: [ 26 / 88 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* 1 (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)))>
7.174 * * * * [progress]: [ 27 / 88 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (posit16->real (real->posit16 (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))))>
7.174 * * * * [progress]: [ 28 / 88 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))>
7.174 * * * * [progress]: [ 29 / 88 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (/ (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) 2) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
7.174 * [simplify]: Simplifying (- (cos (- phi1 phi2)) (cos (+ phi1 phi2)))
7.174 * * [simplify]: iters left: 5 (7 enodes)
7.176 * * [simplify]: iters left: 4 (26 enodes)
7.179 * * [simplify]: iters left: 3 (32 enodes)
7.182 * * [simplify]: Extracting #0: cost 1 inf + 0
7.183 * * [simplify]: Extracting #1: cost 5 inf + 0
7.183 * * [simplify]: Extracting #2: cost 10 inf + 0
7.183 * * [simplify]: Extracting #3: cost 15 inf + 0
7.183 * * [simplify]: Extracting #4: cost 13 inf + 43
7.183 * * [simplify]: Extracting #5: cost 4 inf + 800
7.183 * * [simplify]: Extracting #6: cost 1 inf + 1186
7.183 * * [simplify]: Extracting #7: cost 0 inf + 1428
7.184 * [simplify]: Simplified to (- (cos (- phi1 phi2)) (cos (+ phi2 phi1)))
7.184 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (/ (- (cos (- phi1 phi2)) (cos (+ phi2 phi1))) 2) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
7.184 * * * * [progress]: [ 30 / 88 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (pow (* (sin phi1) (sin phi2)) 1) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
7.184 * [simplify]: Simplifying (* (sin phi1) (sin phi2))
7.184 * * [simplify]: iters left: 3 (5 enodes)
7.185 * * [simplify]: iters left: 2 (16 enodes)
7.187 * * [simplify]: Extracting #0: cost 1 inf + 0
7.187 * * [simplify]: Extracting #1: cost 4 inf + 0
7.187 * * [simplify]: Extracting #2: cost 8 inf + 0
7.187 * * [simplify]: Extracting #3: cost 4 inf + 124
7.188 * * [simplify]: Extracting #4: cost 0 inf + 570
7.188 * [simplify]: Simplified to (* (sin phi2) (sin phi1))
7.188 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (pow (* (sin phi2) (sin phi1)) 1) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
7.188 * * * * [progress]: [ 31 / 88 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (pow (* (sin phi1) (sin phi2)) 1) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
7.188 * * * * [progress]: [ 32 / 88 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (exp (+ (log (sin phi1)) (log (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
7.188 * [simplify]: Simplifying (+ (log (sin phi1)) (log (sin phi2)))
7.189 * * [simplify]: iters left: 4 (7 enodes)
7.191 * * [simplify]: iters left: 3 (22 enodes)
7.197 * * [simplify]: Extracting #0: cost 1 inf + 0
7.197 * * [simplify]: Extracting #1: cost 4 inf + 0
7.197 * * [simplify]: Extracting #2: cost 8 inf + 0
7.197 * * [simplify]: Extracting #3: cost 12 inf + 0
7.197 * * [simplify]: Extracting #4: cost 10 inf + 2
7.198 * * [simplify]: Extracting #5: cost 4 inf + 508
7.198 * * [simplify]: Extracting #6: cost 1 inf + 1072
7.198 * * [simplify]: Extracting #7: cost 0 inf + 1374
7.199 * [simplify]: Simplified to (+ (log (sin phi2)) (log (sin phi1)))
7.199 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (exp (+ (log (sin phi2)) (log (sin phi1)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
7.199 * * * * [progress]: [ 33 / 88 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (exp (log (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
7.199 * * * * [progress]: [ 34 / 88 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
7.199 * * * * [progress]: [ 35 / 88 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
7.199 * [simplify]: Simplifying (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2)))
7.199 * * [simplify]: iters left: 6 (9 enodes)
7.204 * * [simplify]: iters left: 5 (34 enodes)
7.214 * * [simplify]: iters left: 4 (63 enodes)
7.228 * * [simplify]: iters left: 3 (122 enodes)
7.259 * * [simplify]: iters left: 2 (196 enodes)
7.329 * * [simplify]: iters left: 1 (356 enodes)
7.472 * * [simplify]: Extracting #0: cost 1 inf + 0
7.472 * * [simplify]: Extracting #1: cost 70 inf + 0
7.473 * * [simplify]: Extracting #2: cost 169 inf + 1
7.474 * * [simplify]: Extracting #3: cost 154 inf + 2658
7.477 * * [simplify]: Extracting #4: cost 86 inf + 31524
7.487 * * [simplify]: Extracting #5: cost 7 inf + 77226
7.495 * * [simplify]: Extracting #6: cost 0 inf + 81813
7.504 * [simplify]: Simplified to (* (* (* (sin phi2) (sin phi1)) (* (sin phi2) (sin phi1))) (* (sin phi2) (sin phi1)))
7.504 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (* (* (sin phi2) (sin phi1)) (* (sin phi2) (sin phi1))) (* (sin phi2) (sin phi1)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
7.505 * * * * [progress]: [ 36 / 88 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
7.505 * * * * [progress]: [ 37 / 88 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
7.505 * * * * [progress]: [ 38 / 88 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
7.505 * * * * [progress]: [ 39 / 88 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* 1 (* (sin phi1) (sin phi2))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
7.505 * * * * [progress]: [ 40 / 88 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
7.505 * [simplify]: Simplifying (* (sqrt (sin phi1)) (sqrt (sin phi2)))
7.505 * * [simplify]: iters left: 4 (7 enodes)
7.508 * * [simplify]: iters left: 3 (22 enodes)
7.514 * * [simplify]: Extracting #0: cost 1 inf + 0
7.514 * * [simplify]: Extracting #1: cost 4 inf + 0
7.514 * * [simplify]: Extracting #2: cost 8 inf + 0
7.514 * * [simplify]: Extracting #3: cost 12 inf + 0
7.514 * * [simplify]: Extracting #4: cost 10 inf + 2
7.514 * * [simplify]: Extracting #5: cost 4 inf + 448
7.514 * * [simplify]: Extracting #6: cost 1 inf + 892
7.515 * * [simplify]: Extracting #7: cost 0 inf + 1134
7.515 * [simplify]: Simplified to (* (sqrt (sin phi1)) (sqrt (sin phi2)))
7.515 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
7.516 * [simplify]: Simplifying (* (sqrt (sin phi1)) (sqrt (sin phi2)))
7.516 * * [simplify]: iters left: 4 (7 enodes)
7.518 * * [simplify]: iters left: 3 (22 enodes)
7.524 * * [simplify]: Extracting #0: cost 1 inf + 0
7.524 * * [simplify]: Extracting #1: cost 4 inf + 0
7.524 * * [simplify]: Extracting #2: cost 8 inf + 0
7.524 * * [simplify]: Extracting #3: cost 12 inf + 0
7.525 * * [simplify]: Extracting #4: cost 10 inf + 2
7.525 * * [simplify]: Extracting #5: cost 4 inf + 448
7.525 * * [simplify]: Extracting #6: cost 1 inf + 892
7.525 * * [simplify]: Extracting #7: cost 0 inf + 1134
7.526 * [simplify]: Simplified to (* (sqrt (sin phi1)) (sqrt (sin phi2)))
7.526 * [simplify]: Simplified (2 1 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
7.526 * * * * [progress]: [ 41 / 88 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (cbrt (sin phi2))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
7.526 * [simplify]: Simplifying (cbrt (sin phi2))
7.526 * * [simplify]: iters left: 2 (3 enodes)
7.528 * * [simplify]: iters left: 1 (9 enodes)
7.530 * * [simplify]: Extracting #0: cost 1 inf + 0
7.530 * * [simplify]: Extracting #1: cost 3 inf + 0
7.530 * * [simplify]: Extracting #2: cost 5 inf + 0
7.530 * * [simplify]: Extracting #3: cost 4 inf + 1
7.530 * * [simplify]: Extracting #4: cost 0 inf + 405
7.530 * [simplify]: Simplified to (cbrt (sin phi2))
7.530 * [simplify]: Simplified (2 1 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (cbrt (sin phi2))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
7.530 * * * * [progress]: [ 42 / 88 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sin phi1) (sqrt (sin phi2))) (sqrt (sin phi2))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
7.531 * [simplify]: Simplifying (sqrt (sin phi2))
7.531 * * [simplify]: iters left: 2 (3 enodes)
7.532 * * [simplify]: iters left: 1 (9 enodes)
7.534 * * [simplify]: Extracting #0: cost 1 inf + 0
7.534 * * [simplify]: Extracting #1: cost 3 inf + 0
7.534 * * [simplify]: Extracting #2: cost 5 inf + 0
7.534 * * [simplify]: Extracting #3: cost 4 inf + 1
7.534 * * [simplify]: Extracting #4: cost 0 inf + 325
7.535 * [simplify]: Simplified to (sqrt (sin phi2))
7.535 * [simplify]: Simplified (2 1 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sin phi1) (sqrt (sin phi2))) (sqrt (sin phi2))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
7.535 * * * * [progress]: [ 43 / 88 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sin phi1) 1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
7.535 * [simplify]: Simplifying (sin phi2)
7.535 * * [simplify]: iters left: 1 (2 enodes)
7.536 * * [simplify]: Extracting #0: cost 1 inf + 0
7.536 * * [simplify]: Extracting #1: cost 3 inf + 0
7.536 * * [simplify]: Extracting #2: cost 2 inf + 1
7.536 * * [simplify]: Extracting #3: cost 0 inf + 123
7.536 * [simplify]: Simplified to (sin phi2)
7.536 * [simplify]: Simplified (2 1 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sin phi1) 1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
7.536 * * * * [progress]: [ 44 / 88 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (cbrt (sin phi1)) (cbrt (sin phi1))) (* (cbrt (sin phi1)) (sin phi2))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
7.537 * [simplify]: Simplifying (* (cbrt (sin phi1)) (cbrt (sin phi1)))
7.537 * * [simplify]: iters left: 4 (4 enodes)
7.538 * * [simplify]: iters left: 3 (12 enodes)
7.542 * * [simplify]: Extracting #0: cost 1 inf + 0
7.542 * * [simplify]: Extracting #1: cost 3 inf + 0
7.542 * * [simplify]: Extracting #2: cost 5 inf + 0
7.542 * * [simplify]: Extracting #3: cost 7 inf + 0
7.542 * * [simplify]: Extracting #4: cost 6 inf + 1
7.542 * * [simplify]: Extracting #5: cost 0 inf + 767
7.542 * [simplify]: Simplified to (* (cbrt (sin phi1)) (cbrt (sin phi1)))
7.542 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (cbrt (sin phi1)) (cbrt (sin phi1))) (* (cbrt (sin phi1)) (sin phi2))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
7.543 * * * * [progress]: [ 45 / 88 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sqrt (sin phi1)) (* (sqrt (sin phi1)) (sin phi2))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
7.543 * [simplify]: Simplifying (sqrt (sin phi1))
7.543 * * [simplify]: iters left: 2 (3 enodes)
7.544 * * [simplify]: iters left: 1 (9 enodes)
7.547 * * [simplify]: Extracting #0: cost 1 inf + 0
7.547 * * [simplify]: Extracting #1: cost 3 inf + 0
7.547 * * [simplify]: Extracting #2: cost 5 inf + 0
7.547 * * [simplify]: Extracting #3: cost 4 inf + 1
7.547 * * [simplify]: Extracting #4: cost 0 inf + 325
7.547 * [simplify]: Simplified to (sqrt (sin phi1))
7.547 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sqrt (sin phi1)) (* (sqrt (sin phi1)) (sin phi2))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
7.547 * * * * [progress]: [ 46 / 88 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* 1 (* (sin phi1) (sin phi2))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
7.547 * * * * [progress]: [ 47 / 88 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (posit16->real (real->posit16 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
7.547 * * * * [progress]: [ 48 / 88 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
7.547 * * * * [progress]: [ 49 / 88 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (pow (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) 1))) R))>
7.548 * [simplify]: Simplifying (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))
7.548 * * [simplify]: iters left: 6 (15 enodes)
7.554 * * [simplify]: iters left: 5 (58 enodes)
7.573 * * [simplify]: iters left: 4 (112 enodes)
7.608 * * [simplify]: iters left: 3 (209 enodes)
7.649 * * [simplify]: iters left: 2 (285 enodes)
7.694 * * [simplify]: Extracting #0: cost 1 inf + 0
7.694 * * [simplify]: Extracting #1: cost 10 inf + 0
7.694 * * [simplify]: Extracting #2: cost 42 inf + 0
7.694 * * [simplify]: Extracting #3: cost 61 inf + 185
7.695 * * [simplify]: Extracting #4: cost 53 inf + 856
7.696 * * [simplify]: Extracting #5: cost 11 inf + 9876
7.698 * * [simplify]: Extracting #6: cost 0 inf + 13668
7.701 * [simplify]: Simplified to (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))
7.701 * [simplify]: Simplified (2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (pow (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) 1))) R))
7.701 * * * * [progress]: [ 50 / 88 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (pow (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) 1))) R))>
7.701 * [simplify]: Simplifying (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))
7.701 * * [simplify]: iters left: 6 (15 enodes)
7.704 * * [simplify]: iters left: 5 (58 enodes)
7.713 * * [simplify]: iters left: 4 (112 enodes)
7.745 * * [simplify]: iters left: 3 (209 enodes)
7.788 * * [simplify]: iters left: 2 (285 enodes)
7.839 * * [simplify]: Extracting #0: cost 1 inf + 0
7.839 * * [simplify]: Extracting #1: cost 10 inf + 0
7.839 * * [simplify]: Extracting #2: cost 42 inf + 0
7.839 * * [simplify]: Extracting #3: cost 61 inf + 185
7.840 * * [simplify]: Extracting #4: cost 53 inf + 856
7.844 * * [simplify]: Extracting #5: cost 11 inf + 9876
7.848 * * [simplify]: Extracting #6: cost 0 inf + 13668
7.850 * [simplify]: Simplified to (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))
7.850 * [simplify]: Simplified (2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (pow (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) 1))) R))
7.851 * * * * [progress]: [ 51 / 88 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (pow (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) 1))) R))>
7.851 * * * * [progress]: [ 52 / 88 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (exp (+ (+ (log (cos phi1)) (log (cos phi2))) (log (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))>
7.851 * [simplify]: Simplifying (+ (+ (log (cos phi1)) (log (cos phi2))) (log (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))
7.851 * * [simplify]: iters left: 6 (18 enodes)
7.854 * * [simplify]: iters left: 5 (61 enodes)
7.862 * * [simplify]: iters left: 4 (69 enodes)
7.875 * * [simplify]: iters left: 3 (74 enodes)
7.893 * * [simplify]: Extracting #0: cost 1 inf + 0
7.893 * * [simplify]: Extracting #1: cost 8 inf + 0
7.893 * * [simplify]: Extracting #2: cost 17 inf + 0
7.893 * * [simplify]: Extracting #3: cost 24 inf + 0
7.894 * * [simplify]: Extracting #4: cost 24 inf + 316
7.894 * * [simplify]: Extracting #5: cost 24 inf + 1374
7.895 * * [simplify]: Extracting #6: cost 17 inf + 1681
7.896 * * [simplify]: Extracting #7: cost 8 inf + 3747
7.897 * * [simplify]: Extracting #8: cost 0 inf + 8060
7.899 * [simplify]: Simplified to (+ (+ (log (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))) (log (cos phi2))) (log (cos phi1)))
7.899 * [simplify]: Simplified (2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (exp (+ (+ (log (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))) (log (cos phi2))) (log (cos phi1)))))) R))
7.900 * * * * [progress]: [ 53 / 88 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (exp (+ (log (* (cos phi1) (cos phi2))) (log (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))>
7.900 * [simplify]: Simplifying (+ (log (* (cos phi1) (cos phi2))) (log (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))
7.900 * * [simplify]: iters left: 6 (17 enodes)
7.907 * * [simplify]: iters left: 5 (59 enodes)
7.922 * * [simplify]: iters left: 4 (68 enodes)
7.939 * * [simplify]: iters left: 3 (76 enodes)
7.958 * * [simplify]: Extracting #0: cost 1 inf + 0
7.958 * * [simplify]: Extracting #1: cost 8 inf + 0
7.958 * * [simplify]: Extracting #2: cost 18 inf + 0
7.958 * * [simplify]: Extracting #3: cost 26 inf + 0
7.959 * * [simplify]: Extracting #4: cost 27 inf + 185
7.959 * * [simplify]: Extracting #5: cost 27 inf + 1033
7.959 * * [simplify]: Extracting #6: cost 15 inf + 2088
7.961 * * [simplify]: Extracting #7: cost 4 inf + 5591
7.963 * * [simplify]: Extracting #8: cost 0 inf + 8104
7.966 * [simplify]: Simplified to (+ (log (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (log (* (cos phi2) (cos phi1))))
7.966 * [simplify]: Simplified (2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (exp (+ (log (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (log (* (cos phi2) (cos phi1))))))) R))
7.966 * * * * [progress]: [ 54 / 88 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (exp (log (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))>
7.966 * * * * [progress]: [ 55 / 88 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (log (exp (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))>
7.966 * * * * [progress]: [ 56 / 88 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (cbrt (* (* (* (* (cos phi1) (cos phi1)) (cos phi1)) (* (* (cos phi2) (cos phi2)) (cos phi2))) (* (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))>
7.966 * [simplify]: Simplifying (* (* (* (* (cos phi1) (cos phi1)) (cos phi1)) (* (* (cos phi2) (cos phi2)) (cos phi2))) (* (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))
7.967 * * [simplify]: iters left: 6 (21 enodes)
7.976 * * [simplify]: iters left: 5 (91 enodes)
8.015 * * [simplify]: iters left: 4 (308 enodes)
8.221 * * [simplify]: Extracting #0: cost 1 inf + 0
8.221 * * [simplify]: Extracting #1: cost 49 inf + 0
8.222 * * [simplify]: Extracting #2: cost 302 inf + 0
8.226 * * [simplify]: Extracting #3: cost 487 inf + 2526
8.253 * * [simplify]: Extracting #4: cost 287 inf + 95233
8.346 * * [simplify]: Extracting #5: cost 9 inf + 252576
8.423 * * [simplify]: Extracting #6: cost 0 inf + 255124
8.473 * [simplify]: Simplified to (* (* (* (cos phi2) (cos phi1)) (* (* (cos phi2) (cos phi1)) (* (cos phi2) (cos phi1)))) (* (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))))
8.473 * [simplify]: Simplified (2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (cbrt (* (* (* (cos phi2) (cos phi1)) (* (* (cos phi2) (cos phi1)) (* (cos phi2) (cos phi1)))) (* (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))))))) R))
8.474 * * * * [progress]: [ 57 / 88 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (cbrt (* (* (* (* (cos phi1) (cos phi2)) (* (cos phi1) (cos phi2))) (* (cos phi1) (cos phi2))) (* (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))>
8.474 * [simplify]: Simplifying (* (* (* (* (cos phi1) (cos phi2)) (* (cos phi1) (cos phi2))) (* (cos phi1) (cos phi2))) (* (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))
8.474 * * [simplify]: iters left: 6 (19 enodes)
8.478 * * [simplify]: iters left: 5 (89 enodes)
8.501 * * [simplify]: iters left: 4 (315 enodes)
8.772 * * [simplify]: Extracting #0: cost 1 inf + 0
8.772 * * [simplify]: Extracting #1: cost 45 inf + 0
8.773 * * [simplify]: Extracting #2: cost 314 inf + 0
8.776 * * [simplify]: Extracting #3: cost 502 inf + 2760
8.790 * * [simplify]: Extracting #4: cost 289 inf + 104556
8.863 * * [simplify]: Extracting #5: cost 8 inf + 262527
8.936 * * [simplify]: Extracting #6: cost 0 inf + 265787
9.010 * * [simplify]: Extracting #7: cost 0 inf + 265667
9.088 * [simplify]: Simplified to (* (* (cos phi2) (* (cos phi1) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))))) (* (* (cos phi2) (* (cos phi1) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))))) (* (cos phi2) (* (cos phi1) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))))))
9.088 * [simplify]: Simplified (2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (cbrt (* (* (cos phi2) (* (cos phi1) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))))) (* (* (cos phi2) (* (cos phi1) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))))) (* (cos phi2) (* (cos phi1) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))))))))) R))
9.089 * * * * [progress]: [ 58 / 88 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cbrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (cbrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (cbrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))>
9.089 * * * * [progress]: [ 59 / 88 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (cbrt (* (* (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))>
9.089 * * * * [progress]: [ 60 / 88 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (sqrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (sqrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))>
9.089 * * * * [progress]: [ 61 / 88 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (/ (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (+ (* (+ (cos (+ lambda1 lambda2)) (cos (- lambda1 lambda2))) 2) (* 2 (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2)))))) (* 2 (* 2 2))))) R))>
9.089 * [simplify]: Simplifying (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (+ (* (+ (cos (+ lambda1 lambda2)) (cos (- lambda1 lambda2))) 2) (* 2 (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))))))
9.089 * * [simplify]: iters left: 6 (20 enodes)
9.094 * * [simplify]: iters left: 5 (80 enodes)
9.110 * * [simplify]: iters left: 4 (153 enodes)
9.166 * * [simplify]: iters left: 3 (451 enodes)
9.434 * * [simplify]: Extracting #0: cost 1 inf + 0
9.435 * * [simplify]: Extracting #1: cost 71 inf + 0
9.435 * * [simplify]: Extracting #2: cost 334 inf + 1
9.437 * * [simplify]: Extracting #3: cost 380 inf + 1
9.438 * * [simplify]: Extracting #4: cost 389 inf + 2
9.441 * * [simplify]: Extracting #5: cost 345 inf + 8218
9.451 * * [simplify]: Extracting #6: cost 232 inf + 50877
9.500 * * [simplify]: Extracting #7: cost 11 inf + 170367
9.573 * * [simplify]: Extracting #8: cost 0 inf + 176135
9.632 * [simplify]: Simplified to (* (* 2 (+ (cos (+ phi2 phi1)) (cos (- phi1 phi2)))) (+ (+ (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2)))))
9.632 * [simplify]: Simplified (2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (/ (* (* 2 (+ (cos (+ phi2 phi1)) (cos (- phi1 phi2)))) (+ (+ (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))))) (* 2 (* 2 2))))) R))
9.633 * [simplify]: Simplifying (* 2 (* 2 2))
9.633 * * [simplify]: iters left: 4 (3 enodes)
9.637 * * [simplify]: iters left: 3 (14 enodes)
9.639 * * [simplify]: iters left: 2 (16 enodes)
9.641 * * [simplify]: Extracting #0: cost 1 inf + 0
9.641 * * [simplify]: Extracting #1: cost 0 inf + 1
9.641 * [simplify]: Simplified to 8
9.641 * [simplify]: Simplified (2 1 1 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (/ (* (* 2 (+ (cos (+ phi2 phi1)) (cos (- phi1 phi2)))) (+ (+ (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))))) 8))) R))
9.642 * * * * [progress]: [ 62 / 88 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (/ (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (+ (pow (* (cos lambda1) (cos lambda2)) 3) (pow (* (sin lambda1) (sin lambda2)) 3))) (* 2 (+ (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (- (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) R))>
9.642 * [simplify]: Simplifying (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (+ (pow (* (cos lambda1) (cos lambda2)) 3) (pow (* (sin lambda1) (sin lambda2)) 3)))
9.643 * * [simplify]: iters left: 6 (20 enodes)
9.653 * * [simplify]: iters left: 5 (93 enodes)
9.676 * * [simplify]: iters left: 4 (255 enodes)
9.801 * * [simplify]: Extracting #0: cost 1 inf + 0
9.801 * * [simplify]: Extracting #1: cost 20 inf + 0
9.802 * * [simplify]: Extracting #2: cost 200 inf + 0
9.803 * * [simplify]: Extracting #3: cost 314 inf + 0
9.804 * * [simplify]: Extracting #4: cost 299 inf + 3114
9.810 * * [simplify]: Extracting #5: cost 127 inf + 61927
9.832 * * [simplify]: Extracting #6: cost 8 inf + 116702
9.855 * * [simplify]: Extracting #7: cost 0 inf + 119960
9.882 * [simplify]: Simplified to (* (+ (* (* (sin lambda2) (sin lambda1)) (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1)))) (* (* (cos lambda1) (cos lambda2)) (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))))) (+ (cos (+ phi2 phi1)) (cos (- phi1 phi2))))
9.882 * [simplify]: Simplified (2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (/ (* (+ (* (* (sin lambda2) (sin lambda1)) (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1)))) (* (* (cos lambda1) (cos lambda2)) (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))))) (+ (cos (+ phi2 phi1)) (cos (- phi1 phi2)))) (* 2 (+ (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (- (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) R))
9.882 * [simplify]: Simplifying (* 2 (+ (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (- (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))
9.882 * * [simplify]: iters left: 6 (15 enodes)
9.886 * * [simplify]: iters left: 5 (80 enodes)
9.901 * * [simplify]: iters left: 4 (212 enodes)
9.960 * * [simplify]: Extracting #0: cost 1 inf + 0
9.960 * * [simplify]: Extracting #1: cost 12 inf + 0
9.961 * * [simplify]: Extracting #2: cost 92 inf + 1
9.961 * * [simplify]: Extracting #3: cost 168 inf + 1
9.962 * * [simplify]: Extracting #4: cost 158 inf + 1744
9.970 * * [simplify]: Extracting #5: cost 46 inf + 30613
9.982 * * [simplify]: Extracting #6: cost 0 inf + 44687
9.989 * * [simplify]: Extracting #7: cost 0 inf + 44567
9.997 * * [simplify]: Extracting #8: cost 0 inf + 44527
10.005 * [simplify]: Simplified to (* (+ (* (- (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (sin lambda1) (sin lambda2))) (* (* (cos lambda2) (cos lambda1)) (* (cos lambda2) (cos lambda1)))) 2)
10.005 * [simplify]: Simplified (2 1 1 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (/ (* (+ (* (* (sin lambda2) (sin lambda1)) (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1)))) (* (* (cos lambda1) (cos lambda2)) (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))))) (+ (cos (+ phi2 phi1)) (cos (- phi1 phi2)))) (* (+ (* (- (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (sin lambda1) (sin lambda2))) (* (* (cos lambda2) (cos lambda1)) (* (cos lambda2) (cos lambda1)))) 2)))) R))
10.005 * * * * [progress]: [ 63 / 88 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (/ (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (- (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))))) (* 2 (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R))>
10.006 * [simplify]: Simplifying (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (- (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)))))
10.006 * * [simplify]: iters left: 6 (19 enodes)
10.010 * * [simplify]: iters left: 5 (83 enodes)
10.038 * * [simplify]: iters left: 4 (167 enodes)
10.101 * * [simplify]: iters left: 3 (383 enodes)
10.239 * * [simplify]: Extracting #0: cost 1 inf + 0
10.239 * * [simplify]: Extracting #1: cost 47 inf + 0
10.239 * * [simplify]: Extracting #2: cost 274 inf + 0
10.241 * * [simplify]: Extracting #3: cost 359 inf + 0
10.242 * * [simplify]: Extracting #4: cost 341 inf + 3051
10.251 * * [simplify]: Extracting #5: cost 173 inf + 58889
10.290 * * [simplify]: Extracting #6: cost 14 inf + 138636
10.335 * * [simplify]: Extracting #7: cost 0 inf + 146388
10.363 * [simplify]: Simplified to (* (+ (cos (+ phi2 phi1)) (cos (- phi1 phi2))) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))))
10.363 * [simplify]: Simplified (2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (/ (* (+ (cos (+ phi2 phi1)) (cos (- phi1 phi2))) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))))) (* 2 (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R))
10.363 * [simplify]: Simplifying (* 2 (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))
10.363 * * [simplify]: iters left: 6 (11 enodes)
10.366 * * [simplify]: iters left: 5 (38 enodes)
10.373 * * [simplify]: iters left: 4 (53 enodes)
10.381 * * [simplify]: iters left: 3 (95 enodes)
10.397 * * [simplify]: iters left: 2 (141 enodes)
10.413 * * [simplify]: iters left: 1 (147 enodes)
10.428 * * [simplify]: Extracting #0: cost 1 inf + 0
10.428 * * [simplify]: Extracting #1: cost 7 inf + 0
10.428 * * [simplify]: Extracting #2: cost 26 inf + 1
10.428 * * [simplify]: Extracting #3: cost 42 inf + 2
10.428 * * [simplify]: Extracting #4: cost 34 inf + 492
10.429 * * [simplify]: Extracting #5: cost 9 inf + 3558
10.430 * * [simplify]: Extracting #6: cost 4 inf + 4549
10.431 * * [simplify]: Extracting #7: cost 0 inf + 5920
10.432 * [simplify]: Simplified to (* (- (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) 2)
10.432 * [simplify]: Simplified (2 1 1 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (/ (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (- (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))))) (* (- (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) 2)))) R))
10.432 * * * * [progress]: [ 64 / 88 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* 1 (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R))>
10.433 * * * * [progress]: [ 65 / 88 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R))>
10.433 * [simplify]: Simplifying (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))
10.433 * * [simplify]: iters left: 5 (11 enodes)
10.435 * * [simplify]: iters left: 4 (40 enodes)
10.443 * * [simplify]: iters left: 3 (63 enodes)
10.452 * * [simplify]: iters left: 2 (101 enodes)
10.474 * * [simplify]: iters left: 1 (122 enodes)
10.488 * * [simplify]: Extracting #0: cost 1 inf + 0
10.488 * * [simplify]: Extracting #1: cost 16 inf + 0
10.488 * * [simplify]: Extracting #2: cost 34 inf + 0
10.488 * * [simplify]: Extracting #3: cost 27 inf + 187
10.489 * * [simplify]: Extracting #4: cost 8 inf + 3366
10.490 * * [simplify]: Extracting #5: cost 0 inf + 5268
10.491 * [simplify]: Simplified to (* (* (cos phi1) (* (sin lambda2) (cos phi2))) (sin lambda1))
10.491 * [simplify]: Simplified (2 1 1 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (* (sin lambda2) (cos phi2))) (sin lambda1))))) R))
10.491 * * * * [progress]: [ 66 / 88 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))>
10.491 * [simplify]: Simplifying (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))
10.491 * * [simplify]: iters left: 5 (11 enodes)
10.493 * * [simplify]: iters left: 4 (40 enodes)
10.499 * * [simplify]: iters left: 3 (63 enodes)
10.508 * * [simplify]: iters left: 2 (101 enodes)
10.534 * * [simplify]: iters left: 1 (122 enodes)
10.562 * * [simplify]: Extracting #0: cost 1 inf + 0
10.562 * * [simplify]: Extracting #1: cost 16 inf + 0
10.563 * * [simplify]: Extracting #2: cost 34 inf + 0
10.563 * * [simplify]: Extracting #3: cost 27 inf + 187
10.564 * * [simplify]: Extracting #4: cost 8 inf + 3366
10.566 * * [simplify]: Extracting #5: cost 0 inf + 5268
10.567 * [simplify]: Simplified to (* (* (sin lambda1) (* (cos phi2) (sin lambda2))) (cos phi1))
10.568 * [simplify]: Simplified (2 1 1 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (* (cos phi2) (sin lambda2))) (cos phi1))))) R))
10.568 * * * * [progress]: [ 67 / 88 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (* (cos phi1) (cos phi2)) (* (cbrt (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (cbrt (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (cbrt (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R))>
10.568 * [simplify]: Simplifying (cbrt (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))
10.568 * * [simplify]: iters left: 6 (10 enodes)
10.572 * * [simplify]: iters left: 5 (33 enodes)
10.581 * * [simplify]: Extracting #0: cost 1 inf + 0
10.581 * * [simplify]: Extracting #1: cost 3 inf + 0
10.581 * * [simplify]: Extracting #2: cost 6 inf + 0
10.581 * * [simplify]: Extracting #3: cost 12 inf + 0
10.581 * * [simplify]: Extracting #4: cost 18 inf + 0
10.581 * * [simplify]: Extracting #5: cost 13 inf + 185
10.582 * * [simplify]: Extracting #6: cost 9 inf + 530
10.582 * * [simplify]: Extracting #7: cost 0 inf + 2746
10.583 * [simplify]: Simplified to (cbrt (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))))
10.583 * [simplify]: Simplified (2 1 1 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (* (cos phi1) (cos phi2)) (* (cbrt (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (cbrt (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (cbrt (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))))))) R))
10.583 * * * * [progress]: [ 68 / 88 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (* (cos phi1) (cos phi2)) (sqrt (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (sqrt (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R))>
10.583 * [simplify]: Simplifying (sqrt (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))
10.583 * * [simplify]: iters left: 6 (10 enodes)
10.585 * * [simplify]: iters left: 5 (33 enodes)
10.589 * * [simplify]: Extracting #0: cost 1 inf + 0
10.590 * * [simplify]: Extracting #1: cost 3 inf + 0
10.590 * * [simplify]: Extracting #2: cost 6 inf + 0
10.590 * * [simplify]: Extracting #3: cost 12 inf + 0
10.590 * * [simplify]: Extracting #4: cost 18 inf + 0
10.590 * * [simplify]: Extracting #5: cost 13 inf + 185
10.590 * * [simplify]: Extracting #6: cost 9 inf + 530
10.590 * * [simplify]: Extracting #7: cost 0 inf + 2666
10.590 * [simplify]: Simplified to (sqrt (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))))
10.590 * [simplify]: Simplified (2 1 1 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (* (cos phi1) (cos phi2)) (sqrt (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (sqrt (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))))))) R))
10.591 * * * * [progress]: [ 69 / 88 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (* (cos phi1) (cos phi2)) 1) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
10.591 * [simplify]: Simplifying (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))
10.591 * * [simplify]: iters left: 5 (9 enodes)
10.593 * * [simplify]: iters left: 4 (30 enodes)
10.597 * * [simplify]: Extracting #0: cost 1 inf + 0
10.597 * * [simplify]: Extracting #1: cost 4 inf + 0
10.597 * * [simplify]: Extracting #2: cost 10 inf + 0
10.597 * * [simplify]: Extracting #3: cost 16 inf + 0
10.597 * * [simplify]: Extracting #4: cost 11 inf + 185
10.597 * * [simplify]: Extracting #5: cost 6 inf + 591
10.597 * * [simplify]: Extracting #6: cost 1 inf + 1500
10.597 * * [simplify]: Extracting #7: cost 0 inf + 1862
10.598 * [simplify]: Simplified to (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))
10.598 * [simplify]: Simplified (2 1 1 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (* (cos phi1) (cos phi2)) 1) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))))) R))
10.598 * * * * [progress]: [ 70 / 88 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R))>
10.598 * [simplify]: Simplifying (cos phi1)
10.598 * * [simplify]: iters left: 1 (2 enodes)
10.598 * * [simplify]: Extracting #0: cost 1 inf + 0
10.599 * * [simplify]: Extracting #1: cost 3 inf + 0
10.599 * * [simplify]: Extracting #2: cost 2 inf + 1
10.599 * * [simplify]: Extracting #3: cost 0 inf + 123
10.599 * [simplify]: Simplified to (cos phi1)
10.599 * [simplify]: Simplified (2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R))
10.599 * * * * [progress]: [ 71 / 88 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (/ (* (* (cos phi1) (cos phi2)) (+ (* (+ (cos (+ lambda1 lambda2)) (cos (- lambda1 lambda2))) 2) (* 2 (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2)))))) (* 2 2)))) R))>
10.599 * [simplify]: Simplifying (* 2 2)
10.599 * * [simplify]: iters left: 2 (2 enodes)
10.601 * * [simplify]: iters left: 1 (7 enodes)
10.602 * * [simplify]: Extracting #0: cost 1 inf + 0
10.602 * * [simplify]: Extracting #1: cost 0 inf + 1
10.603 * [simplify]: Simplified to 4
10.603 * [simplify]: Simplified (2 1 1 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (/ (* (* (cos phi1) (cos phi2)) (+ (* (+ (cos (+ lambda1 lambda2)) (cos (- lambda1 lambda2))) 2) (* 2 (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2)))))) 4))) R))
10.603 * * * * [progress]: [ 72 / 88 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (/ (* (* (cos phi1) (cos phi2)) (+ (pow (* (cos lambda1) (cos lambda2)) 3) (pow (* (sin lambda1) (sin lambda2)) 3))) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (- (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))>
10.603 * [simplify]: Simplifying (+ (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (- (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))
10.603 * * [simplify]: iters left: 6 (13 enodes)
10.607 * * [simplify]: iters left: 5 (67 enodes)
10.621 * * [simplify]: iters left: 4 (163 enodes)
10.665 * * [simplify]: iters left: 3 (338 enodes)
10.757 * * [simplify]: Extracting #0: cost 1 inf + 0
10.758 * * [simplify]: Extracting #1: cost 12 inf + 0
10.758 * * [simplify]: Extracting #2: cost 80 inf + 0
10.758 * * [simplify]: Extracting #3: cost 135 inf + 0
10.759 * * [simplify]: Extracting #4: cost 114 inf + 3053
10.763 * * [simplify]: Extracting #5: cost 24 inf + 26666
10.770 * * [simplify]: Extracting #6: cost 1 inf + 31967
10.783 * * [simplify]: Extracting #7: cost 0 inf + 32369
10.789 * [simplify]: Simplified to (+ (* (* (cos lambda2) (cos lambda1)) (* (cos lambda2) (cos lambda1))) (* (* (sin lambda2) (sin lambda1)) (- (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))))
10.789 * [simplify]: Simplified (2 1 1 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (/ (* (* (cos phi1) (cos phi2)) (+ (pow (* (cos lambda1) (cos lambda2)) 3) (pow (* (sin lambda1) (sin lambda2)) 3))) (+ (* (* (cos lambda2) (cos lambda1)) (* (cos lambda2) (cos lambda1))) (* (* (sin lambda2) (sin lambda1)) (- (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))))))) R))
10.789 * * * * [progress]: [ 73 / 88 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (/ (* (* (cos phi1) (cos phi2)) (- (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
10.789 * [simplify]: Simplifying (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))
10.789 * * [simplify]: iters left: 5 (9 enodes)
10.791 * * [simplify]: iters left: 4 (31 enodes)
10.795 * * [simplify]: iters left: 3 (40 enodes)
10.800 * * [simplify]: iters left: 2 (44 enodes)
10.805 * * [simplify]: Extracting #0: cost 1 inf + 0
10.805 * * [simplify]: Extracting #1: cost 5 inf + 0
10.805 * * [simplify]: Extracting #2: cost 14 inf + 0
10.805 * * [simplify]: Extracting #3: cost 22 inf + 0
10.806 * * [simplify]: Extracting #4: cost 16 inf + 286
10.806 * * [simplify]: Extracting #5: cost 11 inf + 631
10.806 * * [simplify]: Extracting #6: cost 6 inf + 1319
10.806 * * [simplify]: Extracting #7: cost 0 inf + 2670
10.807 * [simplify]: Simplified to (- (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2)))
10.807 * [simplify]: Simplified (2 1 1 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (/ (* (* (cos phi1) (cos phi2)) (- (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))))) (- (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2)))))) R))
10.807 * * * * [progress]: [ 74 / 88 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (/ (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) 2))) R))>
10.807 * [simplify]: Simplifying (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))
10.807 * * [simplify]: iters left: 6 (17 enodes)
10.811 * * [simplify]: iters left: 5 (65 enodes)
10.820 * * [simplify]: iters left: 4 (118 enodes)
10.850 * * [simplify]: iters left: 3 (246 enodes)
10.904 * * [simplify]: iters left: 2 (348 enodes)
10.974 * * [simplify]: iters left: 1 (407 enodes)
11.058 * * [simplify]: Extracting #0: cost 1 inf + 0
11.058 * * [simplify]: Extracting #1: cost 18 inf + 0
11.059 * * [simplify]: Extracting #2: cost 55 inf + 0
11.059 * * [simplify]: Extracting #3: cost 79 inf + 0
11.060 * * [simplify]: Extracting #4: cost 81 inf + 63
11.060 * * [simplify]: Extracting #5: cost 70 inf + 1279
11.064 * * [simplify]: Extracting #6: cost 37 inf + 9432
11.072 * * [simplify]: Extracting #7: cost 4 inf + 22626
11.082 * * [simplify]: Extracting #8: cost 0 inf + 24941
11.092 * [simplify]: Simplified to (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (+ (cos (+ phi2 phi1)) (cos (- phi1 phi2))))
11.092 * [simplify]: Simplified (2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (/ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (+ (cos (+ phi2 phi1)) (cos (- phi1 phi2)))) 2))) R))
11.093 * * * * [progress]: [ 75 / 88 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (posit16->real (real->posit16 (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))>
11.093 * * * * [progress]: [ 76 / 88 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))))) R))>
11.093 * * * * [progress]: [ 77 / 88 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) R))>
11.093 * [simplify]: Simplifying (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
11.093 * * [simplify]: iters left: 6 (22 enodes)
11.103 * * [simplify]: iters left: 5 (84 enodes)
11.127 * * [simplify]: iters left: 4 (141 enodes)
11.162 * * [simplify]: iters left: 3 (241 enodes)
11.215 * * [simplify]: iters left: 2 (280 enodes)
11.264 * * [simplify]: Extracting #0: cost 1 inf + 0
11.264 * * [simplify]: Extracting #1: cost 3 inf + 0
11.264 * * [simplify]: Extracting #2: cost 10 inf + 0
11.264 * * [simplify]: Extracting #3: cost 46 inf + 0
11.265 * * [simplify]: Extracting #4: cost 80 inf + 0
11.265 * * [simplify]: Extracting #5: cost 63 inf + 1504
11.268 * * [simplify]: Extracting #6: cost 22 inf + 9796
11.274 * * [simplify]: Extracting #7: cost 5 inf + 17031
11.280 * * [simplify]: Extracting #8: cost 0 inf + 19888
11.287 * * [simplify]: Extracting #9: cost 0 inf + 19728
11.294 * [simplify]: Simplified to (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1)))))
11.294 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))) R))
11.294 * * * * [progress]: [ 78 / 88 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R))>
11.295 * [simplify]: Simplifying (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))
11.295 * * [simplify]: iters left: 6 (22 enodes)
11.304 * * [simplify]: iters left: 5 (84 enodes)
11.329 * * [simplify]: iters left: 4 (141 enodes)
11.381 * * [simplify]: iters left: 3 (241 enodes)
11.443 * * [simplify]: iters left: 2 (280 enodes)
11.501 * * [simplify]: Extracting #0: cost 1 inf + 0
11.501 * * [simplify]: Extracting #1: cost 3 inf + 0
11.501 * * [simplify]: Extracting #2: cost 10 inf + 0
11.501 * * [simplify]: Extracting #3: cost 46 inf + 0
11.501 * * [simplify]: Extracting #4: cost 80 inf + 0
11.502 * * [simplify]: Extracting #5: cost 58 inf + 2112
11.503 * * [simplify]: Extracting #6: cost 20 inf + 10221
11.506 * * [simplify]: Extracting #7: cost 2 inf + 18300
11.509 * * [simplify]: Extracting #8: cost 0 inf + 19888
11.512 * * [simplify]: Extracting #9: cost 0 inf + 19728
11.516 * [simplify]: Simplified to (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1)))))
11.516 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))))) R))
11.516 * * * * [progress]: [ 79 / 88 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) R))>
11.516 * [simplify]: Simplifying (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
11.516 * * [simplify]: iters left: 6 (22 enodes)
11.521 * * [simplify]: iters left: 5 (84 enodes)
11.539 * * [simplify]: iters left: 4 (141 enodes)
11.591 * * [simplify]: iters left: 3 (241 enodes)
11.656 * * [simplify]: iters left: 2 (280 enodes)
11.691 * * [simplify]: Extracting #0: cost 1 inf + 0
11.691 * * [simplify]: Extracting #1: cost 3 inf + 0
11.692 * * [simplify]: Extracting #2: cost 10 inf + 0
11.692 * * [simplify]: Extracting #3: cost 46 inf + 0
11.692 * * [simplify]: Extracting #4: cost 80 inf + 0
11.692 * * [simplify]: Extracting #5: cost 63 inf + 1504
11.694 * * [simplify]: Extracting #6: cost 22 inf + 9796
11.696 * * [simplify]: Extracting #7: cost 5 inf + 17031
11.700 * * [simplify]: Extracting #8: cost 0 inf + 19888
11.703 * * [simplify]: Extracting #9: cost 0 inf + 19728
11.706 * [simplify]: Simplified to (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1)))))
11.706 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))) R))
11.706 * * * * [progress]: [ 80 / 88 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))))>
11.706 * [simplify]: Simplifying (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
11.707 * * [simplify]: iters left: 6 (24 enodes)
11.712 * * [simplify]: iters left: 5 (91 enodes)
11.734 * * [simplify]: iters left: 4 (148 enodes)
11.780 * * [simplify]: iters left: 3 (248 enodes)
11.832 * * [simplify]: iters left: 2 (295 enodes)
11.877 * * [simplify]: Extracting #0: cost 1 inf + 0
11.877 * * [simplify]: Extracting #1: cost 4 inf + 0
11.878 * * [simplify]: Extracting #2: cost 5 inf + 1
11.878 * * [simplify]: Extracting #3: cost 12 inf + 1
11.878 * * [simplify]: Extracting #4: cost 48 inf + 1
11.878 * * [simplify]: Extracting #5: cost 82 inf + 1
11.879 * * [simplify]: Extracting #6: cost 71 inf + 634
11.880 * * [simplify]: Extracting #7: cost 31 inf + 8806
11.882 * * [simplify]: Extracting #8: cost 5 inf + 18631
11.886 * * [simplify]: Extracting #9: cost 1 inf + 20704
11.889 * * [simplify]: Extracting #10: cost 0 inf + 21559
11.893 * * [simplify]: Extracting #11: cost 0 inf + 21519
11.896 * [simplify]: Simplified to (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))
11.896 * [simplify]: Simplified (2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))))
11.896 * * * * [progress]: [ 81 / 88 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R))>
11.897 * [simplify]: Simplifying (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R)
11.897 * * [simplify]: iters left: 6 (24 enodes)
11.902 * * [simplify]: iters left: 5 (91 enodes)
11.926 * * [simplify]: iters left: 4 (148 enodes)
11.976 * * [simplify]: iters left: 3 (248 enodes)
12.016 * * [simplify]: iters left: 2 (292 enodes)
12.052 * * [simplify]: Extracting #0: cost 1 inf + 0
12.052 * * [simplify]: Extracting #1: cost 4 inf + 0
12.052 * * [simplify]: Extracting #2: cost 5 inf + 1
12.052 * * [simplify]: Extracting #3: cost 12 inf + 1
12.053 * * [simplify]: Extracting #4: cost 48 inf + 1
12.053 * * [simplify]: Extracting #5: cost 82 inf + 1
12.053 * * [simplify]: Extracting #6: cost 61 inf + 2052
12.055 * * [simplify]: Extracting #7: cost 23 inf + 9919
12.058 * * [simplify]: Extracting #8: cost 4 inf + 18021
12.061 * * [simplify]: Extracting #9: cost 1 inf + 20624
12.067 * * [simplify]: Extracting #10: cost 0 inf + 21519
12.074 * [simplify]: Simplified to (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))))) R)
12.074 * [simplify]: Simplified (2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))))) R))
12.075 * * * * [progress]: [ 82 / 88 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))))>
12.075 * [simplify]: Simplifying (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
12.075 * * [simplify]: iters left: 6 (24 enodes)
12.084 * * [simplify]: iters left: 5 (91 enodes)
12.097 * * [simplify]: iters left: 4 (148 enodes)
12.122 * * [simplify]: iters left: 3 (248 enodes)
12.162 * * [simplify]: iters left: 2 (295 enodes)
12.206 * * [simplify]: Extracting #0: cost 1 inf + 0
12.206 * * [simplify]: Extracting #1: cost 4 inf + 0
12.206 * * [simplify]: Extracting #2: cost 5 inf + 1
12.206 * * [simplify]: Extracting #3: cost 12 inf + 1
12.206 * * [simplify]: Extracting #4: cost 48 inf + 1
12.206 * * [simplify]: Extracting #5: cost 82 inf + 1
12.207 * * [simplify]: Extracting #6: cost 71 inf + 634
12.208 * * [simplify]: Extracting #7: cost 31 inf + 8806
12.211 * * [simplify]: Extracting #8: cost 5 inf + 18631
12.214 * * [simplify]: Extracting #9: cost 1 inf + 20704
12.218 * * [simplify]: Extracting #10: cost 0 inf + 21559
12.221 * * [simplify]: Extracting #11: cost 0 inf + 21519
12.225 * [simplify]: Simplified to (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))
12.225 * [simplify]: Simplified (2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))))
12.225 * * * * [progress]: [ 83 / 88 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* phi1 phi2) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
12.225 * [simplify]: Simplifying (* phi1 phi2)
12.225 * * [simplify]: iters left: 2 (3 enodes)
12.226 * * [simplify]: iters left: 1 (10 enodes)
12.227 * * [simplify]: Extracting #0: cost 1 inf + 0
12.227 * * [simplify]: Extracting #1: cost 4 inf + 0
12.227 * * [simplify]: Extracting #2: cost 2 inf + 2
12.227 * * [simplify]: Extracting #3: cost 0 inf + 86
12.227 * [simplify]: Simplified to (* phi1 phi2)
12.227 * [simplify]: Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* phi1 phi2) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
12.227 * * * * [progress]: [ 84 / 88 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
12.228 * [simplify]: Simplifying (* (sin phi1) (sin phi2))
12.228 * * [simplify]: iters left: 3 (5 enodes)
12.229 * * [simplify]: iters left: 2 (16 enodes)
12.230 * * [simplify]: Extracting #0: cost 1 inf + 0
12.230 * * [simplify]: Extracting #1: cost 4 inf + 0
12.231 * * [simplify]: Extracting #2: cost 8 inf + 0
12.231 * * [simplify]: Extracting #3: cost 4 inf + 124
12.231 * * [simplify]: Extracting #4: cost 0 inf + 570
12.231 * [simplify]: Simplified to (* (sin phi2) (sin phi1))
12.231 * [simplify]: Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
12.231 * * * * [progress]: [ 85 / 88 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
12.231 * [simplify]: Simplifying (* (sin phi1) (sin phi2))
12.231 * * [simplify]: iters left: 3 (5 enodes)
12.232 * * [simplify]: iters left: 2 (16 enodes)
12.234 * * [simplify]: Extracting #0: cost 1 inf + 0
12.234 * * [simplify]: Extracting #1: cost 4 inf + 0
12.234 * * [simplify]: Extracting #2: cost 8 inf + 0
12.234 * * [simplify]: Extracting #3: cost 4 inf + 124
12.234 * * [simplify]: Extracting #4: cost 0 inf + 570
12.234 * [simplify]: Simplified to (* (sin phi2) (sin phi1))
12.234 * [simplify]: Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
12.234 * * * * [progress]: [ 86 / 88 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (- 1 (+ (* 1/2 (pow phi2 2)) (* 1/2 (pow phi1 2)))))) R))>
12.235 * [simplify]: Simplifying (- 1 (+ (* 1/2 (pow phi2 2)) (* 1/2 (pow phi1 2))))
12.235 * * [simplify]: iters left: 6 (11 enodes)
12.238 * * [simplify]: iters left: 5 (51 enodes)
12.247 * * [simplify]: iters left: 4 (84 enodes)
12.271 * * [simplify]: iters left: 3 (144 enodes)
12.308 * * [simplify]: iters left: 2 (197 enodes)
12.339 * * [simplify]: iters left: 1 (241 enodes)
12.390 * * [simplify]: Extracting #0: cost 1 inf + 0
12.390 * * [simplify]: Extracting #1: cost 16 inf + 0
12.390 * * [simplify]: Extracting #2: cost 45 inf + 2
12.390 * * [simplify]: Extracting #3: cost 49 inf + 332
12.391 * * [simplify]: Extracting #4: cost 16 inf + 3195
12.393 * * [simplify]: Extracting #5: cost 1 inf + 5438
12.394 * * [simplify]: Extracting #6: cost 0 inf + 5561
12.396 * [simplify]: Simplified to (- (* -1/2 (+ (* phi1 phi1) (* phi2 phi2))) -1)
12.396 * [simplify]: Simplified (2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (- (* -1/2 (+ (* phi1 phi1) (* phi2 phi2))) -1))) R))
12.396 * * * * [progress]: [ 87 / 88 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))) R))>
12.396 * [simplify]: Simplifying (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))
12.396 * * [simplify]: iters left: 6 (15 enodes)
12.400 * * [simplify]: iters left: 5 (58 enodes)
12.419 * * [simplify]: iters left: 4 (112 enodes)
12.442 * * [simplify]: iters left: 3 (220 enodes)
12.505 * * [simplify]: iters left: 2 (312 enodes)
12.577 * * [simplify]: iters left: 1 (318 enodes)
12.630 * * [simplify]: Extracting #0: cost 1 inf + 0
12.631 * * [simplify]: Extracting #1: cost 10 inf + 0
12.631 * * [simplify]: Extracting #2: cost 42 inf + 0
12.631 * * [simplify]: Extracting #3: cost 61 inf + 185
12.632 * * [simplify]: Extracting #4: cost 47 inf + 2131
12.633 * * [simplify]: Extracting #5: cost 15 inf + 9327
12.636 * * [simplify]: Extracting #6: cost 0 inf + 13668
12.638 * [simplify]: Simplified to (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (* (cos phi2) (cos phi1)))
12.638 * [simplify]: Simplified (2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (* (cos phi2) (cos phi1))))) R))
12.638 * * * * [progress]: [ 88 / 88 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2))))) R))>
12.639 * [simplify]: Simplifying (* (cos phi1) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)))
12.639 * * [simplify]: iters left: 6 (15 enodes)
12.642 * * [simplify]: iters left: 5 (52 enodes)
12.656 * * [simplify]: iters left: 4 (76 enodes)
12.683 * * [simplify]: iters left: 3 (169 enodes)
12.747 * * [simplify]: iters left: 2 (305 enodes)
12.860 * * [simplify]: iters left: 1 (357 enodes)
12.929 * * [simplify]: Extracting #0: cost 1 inf + 0
12.929 * * [simplify]: Extracting #1: cost 10 inf + 0
12.929 * * [simplify]: Extracting #2: cost 42 inf + 0
12.929 * * [simplify]: Extracting #3: cost 62 inf + 124
12.930 * * [simplify]: Extracting #4: cost 39 inf + 3528
12.933 * * [simplify]: Extracting #5: cost 4 inf + 12014
12.935 * * [simplify]: Extracting #6: cost 0 inf + 13668
12.938 * [simplify]: Simplified to (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))
12.938 * [simplify]: Simplified (2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))) R))
12.938 * * * [progress]: adding candidates to table
14.903 * * [progress]: iteration 3 / 4
14.903 * * * [progress]: picking best candidate
15.068 * * * * [pick]: Picked  #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))) R))>
15.068 * * * [progress]: localizing error
15.139 * * * [progress]: generating rewritten candidates
15.140 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1)
15.141 * * * * [progress]: [ 2 / 4 ] rewriting at (2)
15.147 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1)
15.169 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 2 2 1)
15.192 * * * [progress]: generating series expansions
15.192 * * * * [progress]: [ 1 / 4 ] generating series at (2 1)
15.192 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))
15.192 * [approximate]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in (phi1 phi2 lambda2 lambda1) around 0
15.192 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in lambda1
15.193 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))
15.193 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in lambda2
15.193 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))
15.194 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in phi2
15.194 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))
15.194 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in phi1
15.195 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))
15.195 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in phi1
15.196 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))
15.196 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in phi2
15.196 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))
15.196 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in lambda2
15.197 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))
15.197 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in lambda1
15.197 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))
15.198 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))
15.198 * [taylor]: Taking taylor expansion of 0 in phi2
15.198 * [backup-simplify]: Simplify 0 into 0
15.198 * [taylor]: Taking taylor expansion of 0 in lambda2
15.198 * [backup-simplify]: Simplify 0 into 0
15.198 * [taylor]: Taking taylor expansion of 0 in lambda1
15.198 * [backup-simplify]: Simplify 0 into 0
15.198 * [backup-simplify]: Simplify 0 into 0
15.198 * [taylor]: Taking taylor expansion of 0 in lambda2
15.198 * [backup-simplify]: Simplify 0 into 0
15.198 * [taylor]: Taking taylor expansion of 0 in lambda1
15.198 * [backup-simplify]: Simplify 0 into 0
15.198 * [backup-simplify]: Simplify 0 into 0
15.198 * [taylor]: Taking taylor expansion of 0 in lambda1
15.198 * [backup-simplify]: Simplify 0 into 0
15.198 * [backup-simplify]: Simplify 0 into 0
15.199 * [backup-simplify]: Simplify 0 into 0
15.199 * [taylor]: Taking taylor expansion of 0 in phi2
15.199 * [backup-simplify]: Simplify 0 into 0
15.199 * [taylor]: Taking taylor expansion of 0 in lambda2
15.199 * [backup-simplify]: Simplify 0 into 0
15.199 * [taylor]: Taking taylor expansion of 0 in lambda1
15.199 * [backup-simplify]: Simplify 0 into 0
15.199 * [backup-simplify]: Simplify 0 into 0
15.199 * [taylor]: Taking taylor expansion of 0 in lambda2
15.199 * [backup-simplify]: Simplify 0 into 0
15.199 * [taylor]: Taking taylor expansion of 0 in lambda1
15.199 * [backup-simplify]: Simplify 0 into 0
15.199 * [backup-simplify]: Simplify 0 into 0
15.199 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))
15.200 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
15.200 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in (phi1 phi2 lambda2 lambda1) around 0
15.200 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1
15.201 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
15.201 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2
15.202 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
15.202 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2
15.203 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
15.203 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1
15.203 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
15.204 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1
15.204 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
15.204 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2
15.205 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
15.205 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2
15.206 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
15.206 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1
15.207 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
15.207 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
15.207 * [taylor]: Taking taylor expansion of 0 in phi2
15.207 * [backup-simplify]: Simplify 0 into 0
15.207 * [taylor]: Taking taylor expansion of 0 in lambda2
15.207 * [backup-simplify]: Simplify 0 into 0
15.207 * [taylor]: Taking taylor expansion of 0 in lambda1
15.207 * [backup-simplify]: Simplify 0 into 0
15.207 * [backup-simplify]: Simplify 0 into 0
15.207 * [taylor]: Taking taylor expansion of 0 in lambda2
15.207 * [backup-simplify]: Simplify 0 into 0
15.207 * [taylor]: Taking taylor expansion of 0 in lambda1
15.207 * [backup-simplify]: Simplify 0 into 0
15.207 * [backup-simplify]: Simplify 0 into 0
15.207 * [taylor]: Taking taylor expansion of 0 in lambda1
15.207 * [backup-simplify]: Simplify 0 into 0
15.207 * [backup-simplify]: Simplify 0 into 0
15.207 * [backup-simplify]: Simplify 0 into 0
15.207 * [taylor]: Taking taylor expansion of 0 in phi2
15.207 * [backup-simplify]: Simplify 0 into 0
15.207 * [taylor]: Taking taylor expansion of 0 in lambda2
15.207 * [backup-simplify]: Simplify 0 into 0
15.207 * [taylor]: Taking taylor expansion of 0 in lambda1
15.207 * [backup-simplify]: Simplify 0 into 0
15.208 * [backup-simplify]: Simplify 0 into 0
15.208 * [taylor]: Taking taylor expansion of 0 in lambda2
15.208 * [backup-simplify]: Simplify 0 into 0
15.208 * [taylor]: Taking taylor expansion of 0 in lambda1
15.208 * [backup-simplify]: Simplify 0 into 0
15.208 * [backup-simplify]: Simplify 0 into 0
15.208 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 (/ 1 phi2))) (* (sin (/ 1 (/ 1 lambda2))) (* (sin (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1)))))) (+ (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1))))))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))
15.208 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (cos (/ 1 (- phi1))) (* (cos (/ 1 (- phi2))) (+ (* (sin (/ 1 (- lambda2))) (sin (/ 1 (- lambda1)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2))))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))
15.208 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in (phi1 phi2 lambda2 lambda1) around 0
15.208 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1
15.209 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
15.209 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda2
15.209 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
15.209 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi2
15.210 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
15.210 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1
15.210 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
15.210 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1
15.211 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
15.211 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in phi2
15.211 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))
15.211 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda2
15.211 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
15.211 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in lambda1
15.212 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))
15.212 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
15.212 * [taylor]: Taking taylor expansion of 0 in phi2
15.212 * [backup-simplify]: Simplify 0 into 0
15.212 * [taylor]: Taking taylor expansion of 0 in lambda2
15.212 * [backup-simplify]: Simplify 0 into 0
15.212 * [taylor]: Taking taylor expansion of 0 in lambda1
15.212 * [backup-simplify]: Simplify 0 into 0
15.212 * [backup-simplify]: Simplify 0 into 0
15.212 * [taylor]: Taking taylor expansion of 0 in lambda2
15.213 * [backup-simplify]: Simplify 0 into 0
15.213 * [taylor]: Taking taylor expansion of 0 in lambda1
15.213 * [backup-simplify]: Simplify 0 into 0
15.213 * [backup-simplify]: Simplify 0 into 0
15.213 * [taylor]: Taking taylor expansion of 0 in lambda1
15.213 * [backup-simplify]: Simplify 0 into 0
15.213 * [backup-simplify]: Simplify 0 into 0
15.213 * [backup-simplify]: Simplify 0 into 0
15.213 * [taylor]: Taking taylor expansion of 0 in phi2
15.213 * [backup-simplify]: Simplify 0 into 0
15.213 * [taylor]: Taking taylor expansion of 0 in lambda2
15.213 * [backup-simplify]: Simplify 0 into 0
15.213 * [taylor]: Taking taylor expansion of 0 in lambda1
15.213 * [backup-simplify]: Simplify 0 into 0
15.213 * [backup-simplify]: Simplify 0 into 0
15.213 * [taylor]: Taking taylor expansion of 0 in lambda2
15.213 * [backup-simplify]: Simplify 0 into 0
15.213 * [taylor]: Taking taylor expansion of 0 in lambda1
15.213 * [backup-simplify]: Simplify 0 into 0
15.213 * [backup-simplify]: Simplify 0 into 0
15.213 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (sin (/ -1 (/ 1 (- lambda2))))))) (+ (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- lambda2)))) (cos (/ -1 (/ 1 (- phi2)))))))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
15.213 * * * * [progress]: [ 2 / 4 ] generating series at (2)
15.214 * [backup-simplify]: Simplify (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))) R) into (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R)
15.214 * [approximate]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) in (phi1 phi2 lambda2 lambda1 R) around 0
15.214 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) in R
15.214 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in R
15.214 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))
15.214 * [taylor]: Taking taylor expansion of R in R
15.214 * [backup-simplify]: Simplify 0 into 0
15.214 * [backup-simplify]: Simplify 1 into 1
15.214 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) in lambda1
15.214 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in lambda1
15.215 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))
15.215 * [taylor]: Taking taylor expansion of R in lambda1
15.215 * [backup-simplify]: Simplify R into R
15.215 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) in lambda2
15.215 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in lambda2
15.215 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))
15.215 * [taylor]: Taking taylor expansion of R in lambda2
15.215 * [backup-simplify]: Simplify R into R
15.215 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) in phi2
15.215 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in phi2
15.215 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))
15.215 * [taylor]: Taking taylor expansion of R in phi2
15.215 * [backup-simplify]: Simplify R into R
15.215 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) in phi1
15.215 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in phi1
15.216 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))
15.216 * [taylor]: Taking taylor expansion of R in phi1
15.216 * [backup-simplify]: Simplify R into R
15.216 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) in phi1
15.216 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in phi1
15.216 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))
15.216 * [taylor]: Taking taylor expansion of R in phi1
15.216 * [backup-simplify]: Simplify R into R
15.216 * [backup-simplify]: Simplify (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) into (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R)
15.216 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) in phi2
15.216 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in phi2
15.217 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))
15.217 * [taylor]: Taking taylor expansion of R in phi2
15.217 * [backup-simplify]: Simplify R into R
15.217 * [backup-simplify]: Simplify (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) into (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R)
15.217 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) in lambda2
15.217 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in lambda2
15.217 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))
15.217 * [taylor]: Taking taylor expansion of R in lambda2
15.217 * [backup-simplify]: Simplify R into R
15.218 * [backup-simplify]: Simplify (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) into (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R)
15.218 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) in lambda1
15.218 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in lambda1
15.218 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))
15.218 * [taylor]: Taking taylor expansion of R in lambda1
15.218 * [backup-simplify]: Simplify R into R
15.218 * [backup-simplify]: Simplify (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) into (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R)
15.218 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) in R
15.218 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in R
15.219 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))
15.219 * [taylor]: Taking taylor expansion of R in R
15.219 * [backup-simplify]: Simplify 0 into 0
15.219 * [backup-simplify]: Simplify 1 into 1
15.219 * [backup-simplify]: Simplify (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 0) into 0
15.219 * [backup-simplify]: Simplify 0 into 0
15.219 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 0) (* 0 R)) into 0
15.219 * [taylor]: Taking taylor expansion of 0 in phi2
15.219 * [backup-simplify]: Simplify 0 into 0
15.219 * [taylor]: Taking taylor expansion of 0 in lambda2
15.219 * [backup-simplify]: Simplify 0 into 0
15.219 * [taylor]: Taking taylor expansion of 0 in lambda1
15.219 * [backup-simplify]: Simplify 0 into 0
15.219 * [taylor]: Taking taylor expansion of 0 in R
15.220 * [backup-simplify]: Simplify 0 into 0
15.220 * [backup-simplify]: Simplify 0 into 0
15.220 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 0) (* 0 R)) into 0
15.220 * [taylor]: Taking taylor expansion of 0 in lambda2
15.220 * [backup-simplify]: Simplify 0 into 0
15.220 * [taylor]: Taking taylor expansion of 0 in lambda1
15.220 * [backup-simplify]: Simplify 0 into 0
15.220 * [taylor]: Taking taylor expansion of 0 in R
15.220 * [backup-simplify]: Simplify 0 into 0
15.220 * [backup-simplify]: Simplify 0 into 0
15.220 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 0) (* 0 R)) into 0
15.220 * [taylor]: Taking taylor expansion of 0 in lambda1
15.220 * [backup-simplify]: Simplify 0 into 0
15.220 * [taylor]: Taking taylor expansion of 0 in R
15.220 * [backup-simplify]: Simplify 0 into 0
15.220 * [backup-simplify]: Simplify 0 into 0
15.221 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 0) (* 0 R)) into 0
15.221 * [taylor]: Taking taylor expansion of 0 in R
15.221 * [backup-simplify]: Simplify 0 into 0
15.221 * [backup-simplify]: Simplify 0 into 0
15.222 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 1) (* 0 0)) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))
15.222 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))
15.222 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 0) (+ (* 0 0) (* 0 R))) into 0
15.223 * [taylor]: Taking taylor expansion of 0 in phi2
15.223 * [backup-simplify]: Simplify 0 into 0
15.223 * [taylor]: Taking taylor expansion of 0 in lambda2
15.223 * [backup-simplify]: Simplify 0 into 0
15.223 * [taylor]: Taking taylor expansion of 0 in lambda1
15.223 * [backup-simplify]: Simplify 0 into 0
15.223 * [taylor]: Taking taylor expansion of 0 in R
15.223 * [backup-simplify]: Simplify 0 into 0
15.223 * [backup-simplify]: Simplify 0 into 0
15.223 * [taylor]: Taking taylor expansion of 0 in lambda2
15.223 * [backup-simplify]: Simplify 0 into 0
15.223 * [taylor]: Taking taylor expansion of 0 in lambda1
15.223 * [backup-simplify]: Simplify 0 into 0
15.223 * [taylor]: Taking taylor expansion of 0 in R
15.223 * [backup-simplify]: Simplify 0 into 0
15.223 * [backup-simplify]: Simplify 0 into 0
15.223 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 0) (+ (* 0 0) (* 0 R))) into 0
15.223 * [taylor]: Taking taylor expansion of 0 in lambda2
15.223 * [backup-simplify]: Simplify 0 into 0
15.223 * [taylor]: Taking taylor expansion of 0 in lambda1
15.223 * [backup-simplify]: Simplify 0 into 0
15.223 * [taylor]: Taking taylor expansion of 0 in R
15.223 * [backup-simplify]: Simplify 0 into 0
15.223 * [backup-simplify]: Simplify 0 into 0
15.224 * [taylor]: Taking taylor expansion of 0 in lambda1
15.224 * [backup-simplify]: Simplify 0 into 0
15.224 * [taylor]: Taking taylor expansion of 0 in R
15.224 * [backup-simplify]: Simplify 0 into 0
15.224 * [backup-simplify]: Simplify 0 into 0
15.224 * [taylor]: Taking taylor expansion of 0 in lambda1
15.224 * [backup-simplify]: Simplify 0 into 0
15.224 * [taylor]: Taking taylor expansion of 0 in R
15.224 * [backup-simplify]: Simplify 0 into 0
15.224 * [backup-simplify]: Simplify 0 into 0
15.224 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 0) (+ (* 0 0) (* 0 R))) into 0
15.224 * [taylor]: Taking taylor expansion of 0 in lambda1
15.224 * [backup-simplify]: Simplify 0 into 0
15.224 * [taylor]: Taking taylor expansion of 0 in R
15.224 * [backup-simplify]: Simplify 0 into 0
15.224 * [backup-simplify]: Simplify 0 into 0
15.225 * [backup-simplify]: Simplify (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) (* R (* 1 (* 1 (* 1 1))))) into (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R)
15.225 * [backup-simplify]: Simplify (* (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2)))))))) (/ 1 R)) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R)
15.225 * [approximate]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in (phi1 phi2 lambda2 lambda1 R) around 0
15.225 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in R
15.225 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in R
15.226 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
15.226 * [taylor]: Taking taylor expansion of R in R
15.226 * [backup-simplify]: Simplify 0 into 0
15.226 * [backup-simplify]: Simplify 1 into 1
15.226 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 1) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
15.226 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in lambda1
15.226 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1
15.227 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
15.227 * [taylor]: Taking taylor expansion of R in lambda1
15.227 * [backup-simplify]: Simplify R into R
15.227 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R)
15.227 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in lambda2
15.227 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2
15.228 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
15.228 * [taylor]: Taking taylor expansion of R in lambda2
15.228 * [backup-simplify]: Simplify R into R
15.228 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R)
15.228 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in phi2
15.228 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2
15.229 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
15.229 * [taylor]: Taking taylor expansion of R in phi2
15.229 * [backup-simplify]: Simplify R into R
15.229 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R)
15.229 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in phi1
15.229 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1
15.230 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
15.230 * [taylor]: Taking taylor expansion of R in phi1
15.230 * [backup-simplify]: Simplify R into R
15.230 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R)
15.230 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in phi1
15.230 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1
15.230 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
15.231 * [taylor]: Taking taylor expansion of R in phi1
15.231 * [backup-simplify]: Simplify R into R
15.231 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R)
15.231 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in phi2
15.231 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2
15.232 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
15.232 * [taylor]: Taking taylor expansion of R in phi2
15.232 * [backup-simplify]: Simplify R into R
15.232 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R)
15.232 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in lambda2
15.232 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2
15.232 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
15.233 * [taylor]: Taking taylor expansion of R in lambda2
15.233 * [backup-simplify]: Simplify R into R
15.233 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R)
15.233 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in lambda1
15.233 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1
15.233 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
15.233 * [taylor]: Taking taylor expansion of R in lambda1
15.233 * [backup-simplify]: Simplify R into R
15.234 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R)
15.234 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in R
15.234 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in R
15.234 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
15.234 * [taylor]: Taking taylor expansion of R in R
15.234 * [backup-simplify]: Simplify 0 into 0
15.234 * [backup-simplify]: Simplify 1 into 1
15.235 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 1) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
15.235 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
15.236 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)))) into 0
15.236 * [taylor]: Taking taylor expansion of 0 in phi2
15.236 * [backup-simplify]: Simplify 0 into 0
15.236 * [taylor]: Taking taylor expansion of 0 in lambda2
15.236 * [backup-simplify]: Simplify 0 into 0
15.236 * [taylor]: Taking taylor expansion of 0 in lambda1
15.236 * [backup-simplify]: Simplify 0 into 0
15.236 * [taylor]: Taking taylor expansion of 0 in R
15.236 * [backup-simplify]: Simplify 0 into 0
15.236 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)))) into 0
15.236 * [taylor]: Taking taylor expansion of 0 in lambda2
15.236 * [backup-simplify]: Simplify 0 into 0
15.236 * [taylor]: Taking taylor expansion of 0 in lambda1
15.236 * [backup-simplify]: Simplify 0 into 0
15.236 * [taylor]: Taking taylor expansion of 0 in R
15.236 * [backup-simplify]: Simplify 0 into 0
15.237 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)))) into 0
15.237 * [taylor]: Taking taylor expansion of 0 in lambda1
15.237 * [backup-simplify]: Simplify 0 into 0
15.237 * [taylor]: Taking taylor expansion of 0 in R
15.237 * [backup-simplify]: Simplify 0 into 0
15.237 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)))) into 0
15.238 * [taylor]: Taking taylor expansion of 0 in R
15.238 * [backup-simplify]: Simplify 0 into 0
15.239 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) (/ 0 1)))) into 0
15.239 * [backup-simplify]: Simplify 0 into 0
15.240 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
15.240 * [taylor]: Taking taylor expansion of 0 in phi2
15.240 * [backup-simplify]: Simplify 0 into 0
15.240 * [taylor]: Taking taylor expansion of 0 in lambda2
15.240 * [backup-simplify]: Simplify 0 into 0
15.240 * [taylor]: Taking taylor expansion of 0 in lambda1
15.240 * [backup-simplify]: Simplify 0 into 0
15.240 * [taylor]: Taking taylor expansion of 0 in R
15.240 * [backup-simplify]: Simplify 0 into 0
15.240 * [taylor]: Taking taylor expansion of 0 in lambda2
15.240 * [backup-simplify]: Simplify 0 into 0
15.240 * [taylor]: Taking taylor expansion of 0 in lambda1
15.240 * [backup-simplify]: Simplify 0 into 0
15.240 * [taylor]: Taking taylor expansion of 0 in R
15.240 * [backup-simplify]: Simplify 0 into 0
15.241 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
15.241 * [taylor]: Taking taylor expansion of 0 in lambda2
15.241 * [backup-simplify]: Simplify 0 into 0
15.241 * [taylor]: Taking taylor expansion of 0 in lambda1
15.241 * [backup-simplify]: Simplify 0 into 0
15.241 * [taylor]: Taking taylor expansion of 0 in R
15.242 * [backup-simplify]: Simplify 0 into 0
15.242 * [taylor]: Taking taylor expansion of 0 in lambda1
15.242 * [backup-simplify]: Simplify 0 into 0
15.242 * [taylor]: Taking taylor expansion of 0 in R
15.242 * [backup-simplify]: Simplify 0 into 0
15.242 * [taylor]: Taking taylor expansion of 0 in lambda1
15.242 * [backup-simplify]: Simplify 0 into 0
15.242 * [taylor]: Taking taylor expansion of 0 in R
15.242 * [backup-simplify]: Simplify 0 into 0
15.243 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
15.243 * [taylor]: Taking taylor expansion of 0 in lambda1
15.243 * [backup-simplify]: Simplify 0 into 0
15.243 * [taylor]: Taking taylor expansion of 0 in R
15.243 * [backup-simplify]: Simplify 0 into 0
15.243 * [taylor]: Taking taylor expansion of 0 in R
15.243 * [backup-simplify]: Simplify 0 into 0
15.243 * [taylor]: Taking taylor expansion of 0 in R
15.243 * [backup-simplify]: Simplify 0 into 0
15.243 * [taylor]: Taking taylor expansion of 0 in R
15.243 * [backup-simplify]: Simplify 0 into 0
15.244 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
15.244 * [taylor]: Taking taylor expansion of 0 in R
15.244 * [backup-simplify]: Simplify 0 into 0
15.244 * [backup-simplify]: Simplify 0 into 0
15.244 * [backup-simplify]: Simplify 0 into 0
15.244 * [backup-simplify]: Simplify 0 into 0
15.244 * [backup-simplify]: Simplify 0 into 0
15.247 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.247 * [backup-simplify]: Simplify 0 into 0
15.249 * [backup-simplify]: Simplify (* (acos (+ (* (cos (/ 1 (/ 1 phi2))) (* (sin (/ 1 (/ 1 lambda2))) (* (sin (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1)))))) (+ (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1))))))))) (* (/ 1 (/ 1 R)) (* 1 (* 1 (* 1 1))))) into (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R)
15.249 * [backup-simplify]: Simplify (* (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (cos (/ 1 (- phi1))) (* (cos (/ 1 (- phi2))) (+ (* (sin (/ 1 (- lambda2))) (sin (/ 1 (- lambda1)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2))))))))) (/ 1 (- R))) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R))
15.249 * [approximate]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in (phi1 phi2 lambda2 lambda1 R) around 0
15.250 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in R
15.250 * [taylor]: Taking taylor expansion of -1 in R
15.250 * [backup-simplify]: Simplify -1 into -1
15.250 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in R
15.250 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in R
15.250 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
15.250 * [taylor]: Taking taylor expansion of R in R
15.250 * [backup-simplify]: Simplify 0 into 0
15.250 * [backup-simplify]: Simplify 1 into 1
15.251 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 1) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))
15.251 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in lambda1
15.251 * [taylor]: Taking taylor expansion of -1 in lambda1
15.251 * [backup-simplify]: Simplify -1 into -1
15.251 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in lambda1
15.251 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1
15.251 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
15.251 * [taylor]: Taking taylor expansion of R in lambda1
15.251 * [backup-simplify]: Simplify R into R
15.252 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)
15.252 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in lambda2
15.252 * [taylor]: Taking taylor expansion of -1 in lambda2
15.252 * [backup-simplify]: Simplify -1 into -1
15.252 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in lambda2
15.252 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda2
15.252 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
15.252 * [taylor]: Taking taylor expansion of R in lambda2
15.252 * [backup-simplify]: Simplify R into R
15.253 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)
15.253 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in phi2
15.253 * [taylor]: Taking taylor expansion of -1 in phi2
15.253 * [backup-simplify]: Simplify -1 into -1
15.253 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in phi2
15.253 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi2
15.253 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
15.253 * [taylor]: Taking taylor expansion of R in phi2
15.253 * [backup-simplify]: Simplify R into R
15.254 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)
15.254 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in phi1
15.254 * [taylor]: Taking taylor expansion of -1 in phi1
15.254 * [backup-simplify]: Simplify -1 into -1
15.254 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in phi1
15.254 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1
15.254 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
15.254 * [taylor]: Taking taylor expansion of R in phi1
15.254 * [backup-simplify]: Simplify R into R
15.256 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)
15.256 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in phi1
15.256 * [taylor]: Taking taylor expansion of -1 in phi1
15.256 * [backup-simplify]: Simplify -1 into -1
15.256 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in phi1
15.256 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1
15.257 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
15.257 * [taylor]: Taking taylor expansion of R in phi1
15.257 * [backup-simplify]: Simplify R into R
15.257 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)
15.258 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R))
15.258 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)) in phi2
15.258 * [taylor]: Taking taylor expansion of -1 in phi2
15.258 * [backup-simplify]: Simplify -1 into -1
15.258 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) in phi2
15.258 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in phi2
15.258 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))
15.258 * [taylor]: Taking taylor expansion of R in phi2
15.258 * [backup-simplify]: Simplify R into R
15.259 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)
15.259 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R))
15.259 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in lambda2
15.259 * [taylor]: Taking taylor expansion of -1 in lambda2
15.259 * [backup-simplify]: Simplify -1 into -1
15.259 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in lambda2
15.259 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda2
15.260 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
15.260 * [taylor]: Taking taylor expansion of R in lambda2
15.260 * [backup-simplify]: Simplify R into R
15.260 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)
15.261 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R))
15.261 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)) in lambda1
15.261 * [taylor]: Taking taylor expansion of -1 in lambda1
15.261 * [backup-simplify]: Simplify -1 into -1
15.261 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) in lambda1
15.261 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in lambda1
15.261 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))
15.261 * [taylor]: Taking taylor expansion of R in lambda1
15.261 * [backup-simplify]: Simplify R into R
15.262 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)
15.262 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R))
15.262 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in R
15.262 * [taylor]: Taking taylor expansion of -1 in R
15.262 * [backup-simplify]: Simplify -1 into -1
15.262 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in R
15.262 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in R
15.263 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
15.263 * [taylor]: Taking taylor expansion of R in R
15.263 * [backup-simplify]: Simplify 0 into 0
15.263 * [backup-simplify]: Simplify 1 into 1
15.263 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 1) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))
15.263 * [backup-simplify]: Simplify (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) into (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))))
15.264 * [backup-simplify]: Simplify (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) into (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))))
15.264 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) (/ 0 R)))) into 0
15.265 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R))) into 0
15.265 * [taylor]: Taking taylor expansion of 0 in phi2
15.265 * [backup-simplify]: Simplify 0 into 0
15.265 * [taylor]: Taking taylor expansion of 0 in lambda2
15.265 * [backup-simplify]: Simplify 0 into 0
15.265 * [taylor]: Taking taylor expansion of 0 in lambda1
15.265 * [backup-simplify]: Simplify 0 into 0
15.265 * [taylor]: Taking taylor expansion of 0 in R
15.266 * [backup-simplify]: Simplify 0 into 0
15.266 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) (/ 0 R)))) into 0
15.267 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R))) into 0
15.267 * [taylor]: Taking taylor expansion of 0 in lambda2
15.267 * [backup-simplify]: Simplify 0 into 0
15.267 * [taylor]: Taking taylor expansion of 0 in lambda1
15.267 * [backup-simplify]: Simplify 0 into 0
15.267 * [taylor]: Taking taylor expansion of 0 in R
15.267 * [backup-simplify]: Simplify 0 into 0
15.267 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) (/ 0 R)))) into 0
15.268 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R))) into 0
15.268 * [taylor]: Taking taylor expansion of 0 in lambda1
15.268 * [backup-simplify]: Simplify 0 into 0
15.268 * [taylor]: Taking taylor expansion of 0 in R
15.269 * [backup-simplify]: Simplify 0 into 0
15.269 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) (/ 0 R)))) into 0
15.270 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R))) into 0
15.270 * [taylor]: Taking taylor expansion of 0 in R
15.270 * [backup-simplify]: Simplify 0 into 0
15.271 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) (/ 0 1)))) into 0
15.272 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))))) into 0
15.272 * [backup-simplify]: Simplify 0 into 0
15.273 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
15.274 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)))) into 0
15.274 * [taylor]: Taking taylor expansion of 0 in phi2
15.274 * [backup-simplify]: Simplify 0 into 0
15.274 * [taylor]: Taking taylor expansion of 0 in lambda2
15.274 * [backup-simplify]: Simplify 0 into 0
15.274 * [taylor]: Taking taylor expansion of 0 in lambda1
15.274 * [backup-simplify]: Simplify 0 into 0
15.274 * [taylor]: Taking taylor expansion of 0 in R
15.274 * [backup-simplify]: Simplify 0 into 0
15.274 * [taylor]: Taking taylor expansion of 0 in lambda2
15.274 * [backup-simplify]: Simplify 0 into 0
15.274 * [taylor]: Taking taylor expansion of 0 in lambda1
15.274 * [backup-simplify]: Simplify 0 into 0
15.274 * [taylor]: Taking taylor expansion of 0 in R
15.274 * [backup-simplify]: Simplify 0 into 0
15.274 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
15.275 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)))) into 0
15.276 * [taylor]: Taking taylor expansion of 0 in lambda2
15.276 * [backup-simplify]: Simplify 0 into 0
15.276 * [taylor]: Taking taylor expansion of 0 in lambda1
15.276 * [backup-simplify]: Simplify 0 into 0
15.276 * [taylor]: Taking taylor expansion of 0 in R
15.276 * [backup-simplify]: Simplify 0 into 0
15.276 * [taylor]: Taking taylor expansion of 0 in lambda1
15.276 * [backup-simplify]: Simplify 0 into 0
15.276 * [taylor]: Taking taylor expansion of 0 in R
15.276 * [backup-simplify]: Simplify 0 into 0
15.276 * [taylor]: Taking taylor expansion of 0 in lambda1
15.276 * [backup-simplify]: Simplify 0 into 0
15.276 * [taylor]: Taking taylor expansion of 0 in R
15.276 * [backup-simplify]: Simplify 0 into 0
15.276 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
15.277 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)))) into 0
15.278 * [taylor]: Taking taylor expansion of 0 in lambda1
15.278 * [backup-simplify]: Simplify 0 into 0
15.278 * [taylor]: Taking taylor expansion of 0 in R
15.278 * [backup-simplify]: Simplify 0 into 0
15.278 * [taylor]: Taking taylor expansion of 0 in R
15.278 * [backup-simplify]: Simplify 0 into 0
15.278 * [taylor]: Taking taylor expansion of 0 in R
15.278 * [backup-simplify]: Simplify 0 into 0
15.278 * [taylor]: Taking taylor expansion of 0 in R
15.278 * [backup-simplify]: Simplify 0 into 0
15.279 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
15.280 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)))) into 0
15.281 * [taylor]: Taking taylor expansion of 0 in R
15.281 * [backup-simplify]: Simplify 0 into 0
15.281 * [backup-simplify]: Simplify 0 into 0
15.281 * [backup-simplify]: Simplify 0 into 0
15.281 * [backup-simplify]: Simplify 0 into 0
15.281 * [backup-simplify]: Simplify 0 into 0
15.283 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.285 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))))) into 0
15.285 * [backup-simplify]: Simplify 0 into 0
15.287 * [backup-simplify]: Simplify (* (* -1 (acos (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (sin (/ -1 (/ 1 (- lambda2))))))) (+ (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (cos (/ -1 (/ 1 (- lambda2))))))))))) (* (/ 1 (/ 1 (- R))) (* 1 (* 1 (* 1 1))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
15.287 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1)
15.287 * [backup-simplify]: Simplify (* (sin phi1) (sin phi2)) into (* (sin phi1) (sin phi2))
15.287 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0
15.287 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2
15.287 * [taylor]: Taking taylor expansion of (sin phi1) in phi2
15.287 * [taylor]: Taking taylor expansion of phi1 in phi2
15.287 * [backup-simplify]: Simplify phi1 into phi1
15.287 * [backup-simplify]: Simplify (sin phi1) into (sin phi1)
15.287 * [backup-simplify]: Simplify (cos phi1) into (cos phi1)
15.287 * [taylor]: Taking taylor expansion of (sin phi2) in phi2
15.287 * [taylor]: Taking taylor expansion of phi2 in phi2
15.287 * [backup-simplify]: Simplify 0 into 0
15.287 * [backup-simplify]: Simplify 1 into 1
15.287 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1
15.288 * [taylor]: Taking taylor expansion of (sin phi1) in phi1
15.288 * [taylor]: Taking taylor expansion of phi1 in phi1
15.288 * [backup-simplify]: Simplify 0 into 0
15.288 * [backup-simplify]: Simplify 1 into 1
15.288 * [taylor]: Taking taylor expansion of (sin phi2) in phi1
15.288 * [taylor]: Taking taylor expansion of phi2 in phi1
15.288 * [backup-simplify]: Simplify phi2 into phi2
15.288 * [backup-simplify]: Simplify (sin phi2) into (sin phi2)
15.288 * [backup-simplify]: Simplify (cos phi2) into (cos phi2)
15.288 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1
15.288 * [taylor]: Taking taylor expansion of (sin phi1) in phi1
15.288 * [taylor]: Taking taylor expansion of phi1 in phi1
15.288 * [backup-simplify]: Simplify 0 into 0
15.288 * [backup-simplify]: Simplify 1 into 1
15.288 * [taylor]: Taking taylor expansion of (sin phi2) in phi1
15.288 * [taylor]: Taking taylor expansion of phi2 in phi1
15.288 * [backup-simplify]: Simplify phi2 into phi2
15.288 * [backup-simplify]: Simplify (sin phi2) into (sin phi2)
15.288 * [backup-simplify]: Simplify (cos phi2) into (cos phi2)
15.288 * [backup-simplify]: Simplify (* (sin phi2) 1) into (sin phi2)
15.288 * [backup-simplify]: Simplify (* (cos phi2) 0) into 0
15.288 * [backup-simplify]: Simplify (+ (sin phi2) 0) into (sin phi2)
15.288 * [backup-simplify]: Simplify (* 0 (sin phi2)) into 0
15.288 * [taylor]: Taking taylor expansion of 0 in phi2
15.288 * [backup-simplify]: Simplify 0 into 0
15.288 * [backup-simplify]: Simplify 0 into 0
15.289 * [backup-simplify]: Simplify (+ 0) into 0
15.289 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (* 0 1)) into 0
15.290 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.291 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (* 0 0)) into 0
15.291 * [backup-simplify]: Simplify (+ 0 0) into 0
15.292 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.292 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin phi2))) into (sin phi2)
15.292 * [taylor]: Taking taylor expansion of (sin phi2) in phi2
15.292 * [taylor]: Taking taylor expansion of phi2 in phi2
15.292 * [backup-simplify]: Simplify 0 into 0
15.292 * [backup-simplify]: Simplify 1 into 1
15.292 * [backup-simplify]: Simplify 0 into 0
15.292 * [backup-simplify]: Simplify 0 into 0
15.293 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.294 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (* 0 1))) into 0
15.295 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.295 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (* 0 0))) into 0
15.296 * [backup-simplify]: Simplify (+ 0 0) into 0
15.297 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.297 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin phi2)))) into 0
15.297 * [taylor]: Taking taylor expansion of 0 in phi2
15.297 * [backup-simplify]: Simplify 0 into 0
15.297 * [backup-simplify]: Simplify 0 into 0
15.298 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.298 * [backup-simplify]: Simplify 1 into 1
15.298 * [backup-simplify]: Simplify 0 into 0
15.299 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
15.300 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
15.302 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
15.303 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
15.303 * [backup-simplify]: Simplify (+ 0 0) into 0
15.305 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
15.306 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* -1/6 (sin phi2))))) into (- (* 1/6 (sin phi2)))
15.306 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2
15.306 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2
15.306 * [taylor]: Taking taylor expansion of 1/6 in phi2
15.306 * [backup-simplify]: Simplify 1/6 into 1/6
15.306 * [taylor]: Taking taylor expansion of (sin phi2) in phi2
15.306 * [taylor]: Taking taylor expansion of phi2 in phi2
15.306 * [backup-simplify]: Simplify 0 into 0
15.306 * [backup-simplify]: Simplify 1 into 1
15.307 * [backup-simplify]: Simplify (* 1/6 0) into 0
15.307 * [backup-simplify]: Simplify (- 0) into 0
15.307 * [backup-simplify]: Simplify 0 into 0
15.307 * [backup-simplify]: Simplify 0 into 0
15.308 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.308 * [backup-simplify]: Simplify 0 into 0
15.308 * [backup-simplify]: Simplify 0 into 0
15.310 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0
15.311 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
15.313 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
15.314 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0
15.314 * [backup-simplify]: Simplify (+ 0 0) into 0
15.316 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
15.317 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* -1/6 0) (* 0 (sin phi2)))))) into 0
15.317 * [taylor]: Taking taylor expansion of 0 in phi2
15.317 * [backup-simplify]: Simplify 0 into 0
15.317 * [backup-simplify]: Simplify 0 into 0
15.317 * [backup-simplify]: Simplify (* 1 (* phi2 phi1)) into (* phi1 phi2)
15.318 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))
15.318 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in (phi1 phi2) around 0
15.318 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi2
15.318 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2
15.318 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2
15.318 * [taylor]: Taking taylor expansion of phi2 in phi2
15.318 * [backup-simplify]: Simplify 0 into 0
15.318 * [backup-simplify]: Simplify 1 into 1
15.318 * [backup-simplify]: Simplify (/ 1 1) into 1
15.318 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2))
15.318 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2
15.318 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2
15.318 * [taylor]: Taking taylor expansion of phi1 in phi2
15.318 * [backup-simplify]: Simplify phi1 into phi1
15.318 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
15.318 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1))
15.319 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1))
15.319 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi1
15.319 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1
15.319 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1
15.319 * [taylor]: Taking taylor expansion of phi2 in phi1
15.319 * [backup-simplify]: Simplify phi2 into phi2
15.319 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
15.319 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2))
15.319 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2))
15.319 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1
15.319 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1
15.319 * [taylor]: Taking taylor expansion of phi1 in phi1
15.319 * [backup-simplify]: Simplify 0 into 0
15.319 * [backup-simplify]: Simplify 1 into 1
15.319 * [backup-simplify]: Simplify (/ 1 1) into 1
15.319 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1))
15.319 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi1
15.319 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1
15.320 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1
15.320 * [taylor]: Taking taylor expansion of phi2 in phi1
15.320 * [backup-simplify]: Simplify phi2 into phi2
15.320 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
15.320 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2))
15.320 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2))
15.320 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1
15.320 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1
15.320 * [taylor]: Taking taylor expansion of phi1 in phi1
15.320 * [backup-simplify]: Simplify 0 into 0
15.320 * [backup-simplify]: Simplify 1 into 1
15.320 * [backup-simplify]: Simplify (/ 1 1) into 1
15.320 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1))
15.320 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) 1) into (sin (/ 1 phi2))
15.321 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) 0) into 0
15.321 * [backup-simplify]: Simplify (+ (sin (/ 1 phi2)) 0) into (sin (/ 1 phi2))
15.321 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))
15.321 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi2
15.321 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2
15.321 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2
15.321 * [taylor]: Taking taylor expansion of phi2 in phi2
15.321 * [backup-simplify]: Simplify 0 into 0
15.321 * [backup-simplify]: Simplify 1 into 1
15.321 * [backup-simplify]: Simplify (/ 1 1) into 1
15.321 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2))
15.321 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2
15.321 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2
15.321 * [taylor]: Taking taylor expansion of phi1 in phi2
15.322 * [backup-simplify]: Simplify phi1 into phi1
15.322 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
15.322 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1))
15.322 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1))
15.322 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) 1) into (sin (/ 1 phi1))
15.322 * [backup-simplify]: Simplify (* (cos (/ 1 phi1)) 0) into 0
15.322 * [backup-simplify]: Simplify (+ (sin (/ 1 phi1)) 0) into (sin (/ 1 phi1))
15.322 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))
15.322 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))
15.323 * [backup-simplify]: Simplify (+ 0) into 0
15.323 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 1)) into 0
15.323 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
15.324 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.325 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 0)) into 0
15.325 * [backup-simplify]: Simplify (+ 0 0) into 0
15.325 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 (sin (/ 1 phi1)))) into 0
15.325 * [taylor]: Taking taylor expansion of 0 in phi2
15.325 * [backup-simplify]: Simplify 0 into 0
15.325 * [backup-simplify]: Simplify 0 into 0
15.326 * [backup-simplify]: Simplify (+ 0) into 0
15.326 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 1)) into 0
15.326 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
15.327 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.327 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (* 0 0)) into 0
15.328 * [backup-simplify]: Simplify (+ 0 0) into 0
15.328 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 (sin (/ 1 phi1)))) into 0
15.328 * [backup-simplify]: Simplify 0 into 0
15.329 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.330 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0
15.330 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
15.330 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.331 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0
15.331 * [backup-simplify]: Simplify (+ 0 0) into 0
15.331 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1))))) into 0
15.331 * [taylor]: Taking taylor expansion of 0 in phi2
15.331 * [backup-simplify]: Simplify 0 into 0
15.331 * [backup-simplify]: Simplify 0 into 0
15.332 * [backup-simplify]: Simplify 0 into 0
15.332 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.332 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0
15.333 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0
15.333 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.333 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0
15.334 * [backup-simplify]: Simplify (+ 0 0) into 0
15.334 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1))))) into 0
15.334 * [backup-simplify]: Simplify 0 into 0
15.335 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
15.335 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
15.335 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
15.336 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
15.336 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
15.337 * [backup-simplify]: Simplify (+ 0 0) into 0
15.337 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1)))))) into 0
15.337 * [taylor]: Taking taylor expansion of 0 in phi2
15.337 * [backup-simplify]: Simplify 0 into 0
15.337 * [backup-simplify]: Simplify 0 into 0
15.337 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) into (* (sin phi1) (sin phi2))
15.337 * [backup-simplify]: Simplify (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))
15.338 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0
15.338 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2
15.338 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2
15.338 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2
15.338 * [taylor]: Taking taylor expansion of -1 in phi2
15.338 * [backup-simplify]: Simplify -1 into -1
15.338 * [taylor]: Taking taylor expansion of phi1 in phi2
15.338 * [backup-simplify]: Simplify phi1 into phi1
15.338 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1)
15.338 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1))
15.338 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1))
15.338 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2
15.338 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2
15.338 * [taylor]: Taking taylor expansion of -1 in phi2
15.338 * [backup-simplify]: Simplify -1 into -1
15.338 * [taylor]: Taking taylor expansion of phi2 in phi2
15.338 * [backup-simplify]: Simplify 0 into 0
15.338 * [backup-simplify]: Simplify 1 into 1
15.338 * [backup-simplify]: Simplify (/ -1 1) into -1
15.338 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2))
15.338 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1
15.338 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1
15.338 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1
15.338 * [taylor]: Taking taylor expansion of -1 in phi1
15.338 * [backup-simplify]: Simplify -1 into -1
15.338 * [taylor]: Taking taylor expansion of phi1 in phi1
15.338 * [backup-simplify]: Simplify 0 into 0
15.338 * [backup-simplify]: Simplify 1 into 1
15.339 * [backup-simplify]: Simplify (/ -1 1) into -1
15.339 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1))
15.339 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1
15.339 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1
15.339 * [taylor]: Taking taylor expansion of -1 in phi1
15.339 * [backup-simplify]: Simplify -1 into -1
15.339 * [taylor]: Taking taylor expansion of phi2 in phi1
15.339 * [backup-simplify]: Simplify phi2 into phi2
15.339 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2)
15.339 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2))
15.339 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2))
15.339 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1
15.339 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1
15.339 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1
15.339 * [taylor]: Taking taylor expansion of -1 in phi1
15.339 * [backup-simplify]: Simplify -1 into -1
15.339 * [taylor]: Taking taylor expansion of phi1 in phi1
15.339 * [backup-simplify]: Simplify 0 into 0
15.339 * [backup-simplify]: Simplify 1 into 1
15.339 * [backup-simplify]: Simplify (/ -1 1) into -1
15.339 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1))
15.339 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1
15.339 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1
15.339 * [taylor]: Taking taylor expansion of -1 in phi1
15.339 * [backup-simplify]: Simplify -1 into -1
15.339 * [taylor]: Taking taylor expansion of phi2 in phi1
15.339 * [backup-simplify]: Simplify phi2 into phi2
15.339 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2)
15.340 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2))
15.340 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2))
15.340 * [backup-simplify]: Simplify (* (sin (/ -1 phi2)) 1) into (sin (/ -1 phi2))
15.340 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) 0) into 0
15.340 * [backup-simplify]: Simplify (+ (sin (/ -1 phi2)) 0) into (sin (/ -1 phi2))
15.340 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))
15.340 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2
15.340 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2
15.340 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2
15.340 * [taylor]: Taking taylor expansion of -1 in phi2
15.340 * [backup-simplify]: Simplify -1 into -1
15.340 * [taylor]: Taking taylor expansion of phi1 in phi2
15.340 * [backup-simplify]: Simplify phi1 into phi1
15.340 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1)
15.340 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1))
15.340 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1))
15.340 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2
15.340 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2
15.340 * [taylor]: Taking taylor expansion of -1 in phi2
15.340 * [backup-simplify]: Simplify -1 into -1
15.340 * [taylor]: Taking taylor expansion of phi2 in phi2
15.340 * [backup-simplify]: Simplify 0 into 0
15.340 * [backup-simplify]: Simplify 1 into 1
15.340 * [backup-simplify]: Simplify (/ -1 1) into -1
15.341 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2))
15.341 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) 1) into (sin (/ -1 phi1))
15.341 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) 0) into 0
15.341 * [backup-simplify]: Simplify (+ (sin (/ -1 phi1)) 0) into (sin (/ -1 phi1))
15.341 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))
15.341 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))
15.341 * [backup-simplify]: Simplify (+ 0) into 0
15.341 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (* 0 1)) into 0
15.341 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)))) into 0
15.342 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.342 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 0)) into 0
15.343 * [backup-simplify]: Simplify (+ 0 0) into 0
15.343 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) into 0
15.343 * [taylor]: Taking taylor expansion of 0 in phi2
15.343 * [backup-simplify]: Simplify 0 into 0
15.343 * [backup-simplify]: Simplify 0 into 0
15.343 * [backup-simplify]: Simplify (+ 0) into 0
15.343 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 1)) into 0
15.344 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)))) into 0
15.344 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.344 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 0)) into 0
15.344 * [backup-simplify]: Simplify (+ 0 0) into 0
15.345 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) into 0
15.345 * [backup-simplify]: Simplify 0 into 0
15.345 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.346 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0
15.346 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
15.346 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.347 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0
15.347 * [backup-simplify]: Simplify (+ 0 0) into 0
15.347 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0
15.347 * [taylor]: Taking taylor expansion of 0 in phi2
15.347 * [backup-simplify]: Simplify 0 into 0
15.347 * [backup-simplify]: Simplify 0 into 0
15.347 * [backup-simplify]: Simplify 0 into 0
15.348 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.348 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0
15.348 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0
15.349 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.349 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0
15.349 * [backup-simplify]: Simplify (+ 0 0) into 0
15.350 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0
15.350 * [backup-simplify]: Simplify 0 into 0
15.350 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
15.351 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
15.351 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
15.352 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
15.352 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
15.352 * [backup-simplify]: Simplify (+ 0 0) into 0
15.353 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2)))))) into 0
15.353 * [taylor]: Taking taylor expansion of 0 in phi2
15.353 * [backup-simplify]: Simplify 0 into 0
15.353 * [backup-simplify]: Simplify 0 into 0
15.353 * [backup-simplify]: Simplify (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) into (* (sin phi1) (sin phi2))
15.353 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 2 2 1)
15.353 * [backup-simplify]: Simplify (* (sin lambda2) (sin lambda1)) into (* (sin lambda2) (sin lambda1))
15.353 * [approximate]: Taking taylor expansion of (* (sin lambda2) (sin lambda1)) in (lambda2 lambda1) around 0
15.353 * [taylor]: Taking taylor expansion of (* (sin lambda2) (sin lambda1)) in lambda1
15.353 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1
15.353 * [taylor]: Taking taylor expansion of lambda2 in lambda1
15.353 * [backup-simplify]: Simplify lambda2 into lambda2
15.353 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2)
15.353 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2)
15.354 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1
15.354 * [taylor]: Taking taylor expansion of lambda1 in lambda1
15.354 * [backup-simplify]: Simplify 0 into 0
15.354 * [backup-simplify]: Simplify 1 into 1
15.354 * [taylor]: Taking taylor expansion of (* (sin lambda2) (sin lambda1)) in lambda2
15.354 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2
15.354 * [taylor]: Taking taylor expansion of lambda2 in lambda2
15.354 * [backup-simplify]: Simplify 0 into 0
15.354 * [backup-simplify]: Simplify 1 into 1
15.354 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2
15.354 * [taylor]: Taking taylor expansion of lambda1 in lambda2
15.354 * [backup-simplify]: Simplify lambda1 into lambda1
15.354 * [backup-simplify]: Simplify (sin lambda1) into (sin lambda1)
15.354 * [backup-simplify]: Simplify (cos lambda1) into (cos lambda1)
15.354 * [taylor]: Taking taylor expansion of (* (sin lambda2) (sin lambda1)) in lambda2
15.354 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2
15.354 * [taylor]: Taking taylor expansion of lambda2 in lambda2
15.354 * [backup-simplify]: Simplify 0 into 0
15.354 * [backup-simplify]: Simplify 1 into 1
15.354 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2
15.354 * [taylor]: Taking taylor expansion of lambda1 in lambda2
15.354 * [backup-simplify]: Simplify lambda1 into lambda1
15.354 * [backup-simplify]: Simplify (sin lambda1) into (sin lambda1)
15.354 * [backup-simplify]: Simplify (cos lambda1) into (cos lambda1)
15.354 * [backup-simplify]: Simplify (* (sin lambda1) 1) into (sin lambda1)
15.354 * [backup-simplify]: Simplify (* (cos lambda1) 0) into 0
15.354 * [backup-simplify]: Simplify (+ (sin lambda1) 0) into (sin lambda1)
15.354 * [backup-simplify]: Simplify (* 0 (sin lambda1)) into 0
15.354 * [taylor]: Taking taylor expansion of 0 in lambda1
15.354 * [backup-simplify]: Simplify 0 into 0
15.354 * [backup-simplify]: Simplify 0 into 0
15.354 * [backup-simplify]: Simplify (+ 0) into 0
15.355 * [backup-simplify]: Simplify (+ (* (sin lambda1) 0) (* 0 1)) into 0
15.355 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.356 * [backup-simplify]: Simplify (+ (* (cos lambda1) 0) (* 0 0)) into 0
15.356 * [backup-simplify]: Simplify (+ 0 0) into 0
15.356 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.356 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin lambda1))) into (sin lambda1)
15.356 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1
15.356 * [taylor]: Taking taylor expansion of lambda1 in lambda1
15.356 * [backup-simplify]: Simplify 0 into 0
15.357 * [backup-simplify]: Simplify 1 into 1
15.357 * [backup-simplify]: Simplify 0 into 0
15.357 * [backup-simplify]: Simplify 0 into 0
15.357 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.358 * [backup-simplify]: Simplify (+ (* (sin lambda1) 0) (+ (* 0 0) (* 0 1))) into 0
15.358 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.358 * [backup-simplify]: Simplify (+ (* (cos lambda1) 0) (+ (* 0 0) (* 0 0))) into 0
15.359 * [backup-simplify]: Simplify (+ 0 0) into 0
15.360 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.360 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin lambda1)))) into 0
15.360 * [taylor]: Taking taylor expansion of 0 in lambda1
15.360 * [backup-simplify]: Simplify 0 into 0
15.361 * [backup-simplify]: Simplify 0 into 0
15.361 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.361 * [backup-simplify]: Simplify 1 into 1
15.361 * [backup-simplify]: Simplify 0 into 0
15.362 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
15.365 * [backup-simplify]: Simplify (+ (* (sin lambda1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
15.367 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
15.367 * [backup-simplify]: Simplify (+ (* (cos lambda1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
15.368 * [backup-simplify]: Simplify (+ 0 0) into 0
15.369 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
15.371 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* -1/6 (sin lambda1))))) into (- (* 1/6 (sin lambda1)))
15.371 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin lambda1))) in lambda1
15.371 * [taylor]: Taking taylor expansion of (* 1/6 (sin lambda1)) in lambda1
15.371 * [taylor]: Taking taylor expansion of 1/6 in lambda1
15.371 * [backup-simplify]: Simplify 1/6 into 1/6
15.371 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1
15.371 * [taylor]: Taking taylor expansion of lambda1 in lambda1
15.371 * [backup-simplify]: Simplify 0 into 0
15.371 * [backup-simplify]: Simplify 1 into 1
15.372 * [backup-simplify]: Simplify (* 1/6 0) into 0
15.372 * [backup-simplify]: Simplify (- 0) into 0
15.372 * [backup-simplify]: Simplify 0 into 0
15.372 * [backup-simplify]: Simplify 0 into 0
15.373 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.373 * [backup-simplify]: Simplify 0 into 0
15.373 * [backup-simplify]: Simplify 0 into 0
15.376 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0
15.377 * [backup-simplify]: Simplify (+ (* (sin lambda1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
15.379 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
15.379 * [backup-simplify]: Simplify (+ (* (cos lambda1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0
15.380 * [backup-simplify]: Simplify (+ 0 0) into 0
15.381 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
15.383 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* -1/6 0) (* 0 (sin lambda1)))))) into 0
15.383 * [taylor]: Taking taylor expansion of 0 in lambda1
15.383 * [backup-simplify]: Simplify 0 into 0
15.383 * [backup-simplify]: Simplify 0 into 0
15.383 * [backup-simplify]: Simplify (* 1 (* lambda1 lambda2)) into (* lambda2 lambda1)
15.383 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))
15.383 * [approximate]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in (lambda2 lambda1) around 0
15.383 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda1
15.383 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1
15.384 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1
15.384 * [taylor]: Taking taylor expansion of lambda2 in lambda1
15.384 * [backup-simplify]: Simplify lambda2 into lambda2
15.384 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2)
15.384 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2))
15.384 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2))
15.384 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1
15.384 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1
15.384 * [taylor]: Taking taylor expansion of lambda1 in lambda1
15.384 * [backup-simplify]: Simplify 0 into 0
15.384 * [backup-simplify]: Simplify 1 into 1
15.384 * [backup-simplify]: Simplify (/ 1 1) into 1
15.384 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1))
15.384 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda2
15.385 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2
15.385 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2
15.385 * [taylor]: Taking taylor expansion of lambda2 in lambda2
15.385 * [backup-simplify]: Simplify 0 into 0
15.385 * [backup-simplify]: Simplify 1 into 1
15.385 * [backup-simplify]: Simplify (/ 1 1) into 1
15.385 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2))
15.385 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2
15.385 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2
15.385 * [taylor]: Taking taylor expansion of lambda1 in lambda2
15.385 * [backup-simplify]: Simplify lambda1 into lambda1
15.385 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1)
15.385 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1))
15.385 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1))
15.385 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda2
15.385 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2
15.385 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2
15.385 * [taylor]: Taking taylor expansion of lambda2 in lambda2
15.386 * [backup-simplify]: Simplify 0 into 0
15.386 * [backup-simplify]: Simplify 1 into 1
15.386 * [backup-simplify]: Simplify (/ 1 1) into 1
15.386 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2))
15.386 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2
15.386 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2
15.386 * [taylor]: Taking taylor expansion of lambda1 in lambda2
15.386 * [backup-simplify]: Simplify lambda1 into lambda1
15.386 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1)
15.386 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1))
15.386 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1))
15.386 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) 1) into (sin (/ 1 lambda1))
15.387 * [backup-simplify]: Simplify (* (cos (/ 1 lambda1)) 0) into 0
15.387 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda1)) 0) into (sin (/ 1 lambda1))
15.387 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))
15.387 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda1
15.387 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1
15.387 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1
15.387 * [taylor]: Taking taylor expansion of lambda2 in lambda1
15.387 * [backup-simplify]: Simplify lambda2 into lambda2
15.387 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2)
15.387 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2))
15.387 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2))
15.387 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1
15.387 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1
15.387 * [taylor]: Taking taylor expansion of lambda1 in lambda1
15.387 * [backup-simplify]: Simplify 0 into 0
15.387 * [backup-simplify]: Simplify 1 into 1
15.388 * [backup-simplify]: Simplify (/ 1 1) into 1
15.388 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1))
15.388 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) 1) into (sin (/ 1 lambda2))
15.388 * [backup-simplify]: Simplify (* (cos (/ 1 lambda2)) 0) into 0
15.388 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda2)) 0) into (sin (/ 1 lambda2))
15.388 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))
15.388 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))
15.389 * [backup-simplify]: Simplify (+ 0) into 0
15.389 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 1)) into 0
15.389 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)))) into 0
15.390 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.391 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (* 0 0)) into 0
15.391 * [backup-simplify]: Simplify (+ 0 0) into 0
15.391 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 (sin (/ 1 lambda1)))) into 0
15.391 * [taylor]: Taking taylor expansion of 0 in lambda1
15.391 * [backup-simplify]: Simplify 0 into 0
15.391 * [backup-simplify]: Simplify 0 into 0
15.392 * [backup-simplify]: Simplify (+ 0) into 0
15.393 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 1)) into 0
15.393 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0
15.393 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.394 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (* 0 0)) into 0
15.394 * [backup-simplify]: Simplify (+ 0 0) into 0
15.394 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 (sin (/ 1 lambda1)))) into 0
15.394 * [backup-simplify]: Simplify 0 into 0
15.395 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.395 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0
15.396 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0
15.396 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.396 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0
15.397 * [backup-simplify]: Simplify (+ 0 0) into 0
15.397 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1))))) into 0
15.397 * [taylor]: Taking taylor expansion of 0 in lambda1
15.397 * [backup-simplify]: Simplify 0 into 0
15.397 * [backup-simplify]: Simplify 0 into 0
15.397 * [backup-simplify]: Simplify 0 into 0
15.398 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.398 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0
15.398 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0
15.399 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.399 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0
15.399 * [backup-simplify]: Simplify (+ 0 0) into 0
15.399 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1))))) into 0
15.400 * [backup-simplify]: Simplify 0 into 0
15.400 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
15.401 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
15.401 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0
15.401 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
15.402 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
15.402 * [backup-simplify]: Simplify (+ 0 0) into 0
15.403 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1)))))) into 0
15.403 * [taylor]: Taking taylor expansion of 0 in lambda1
15.403 * [backup-simplify]: Simplify 0 into 0
15.403 * [backup-simplify]: Simplify 0 into 0
15.403 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 lambda2))) (sin (/ 1 (/ 1 lambda1)))) into (* (sin lambda2) (sin lambda1))
15.403 * [backup-simplify]: Simplify (* (sin (/ 1 (- lambda2))) (sin (/ 1 (- lambda1)))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))
15.403 * [approximate]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in (lambda2 lambda1) around 0
15.403 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1
15.403 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1
15.403 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1
15.403 * [taylor]: Taking taylor expansion of -1 in lambda1
15.403 * [backup-simplify]: Simplify -1 into -1
15.403 * [taylor]: Taking taylor expansion of lambda1 in lambda1
15.403 * [backup-simplify]: Simplify 0 into 0
15.403 * [backup-simplify]: Simplify 1 into 1
15.404 * [backup-simplify]: Simplify (/ -1 1) into -1
15.404 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1))
15.404 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1
15.404 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1
15.404 * [taylor]: Taking taylor expansion of -1 in lambda1
15.404 * [backup-simplify]: Simplify -1 into -1
15.404 * [taylor]: Taking taylor expansion of lambda2 in lambda1
15.404 * [backup-simplify]: Simplify lambda2 into lambda2
15.404 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2)
15.404 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2))
15.404 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2))
15.404 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2
15.404 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2
15.404 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2
15.404 * [taylor]: Taking taylor expansion of -1 in lambda2
15.404 * [backup-simplify]: Simplify -1 into -1
15.404 * [taylor]: Taking taylor expansion of lambda1 in lambda2
15.404 * [backup-simplify]: Simplify lambda1 into lambda1
15.404 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1)
15.404 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1))
15.404 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1))
15.404 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2
15.404 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2
15.404 * [taylor]: Taking taylor expansion of -1 in lambda2
15.404 * [backup-simplify]: Simplify -1 into -1
15.404 * [taylor]: Taking taylor expansion of lambda2 in lambda2
15.404 * [backup-simplify]: Simplify 0 into 0
15.404 * [backup-simplify]: Simplify 1 into 1
15.404 * [backup-simplify]: Simplify (/ -1 1) into -1
15.404 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2))
15.405 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2
15.405 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2
15.405 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2
15.405 * [taylor]: Taking taylor expansion of -1 in lambda2
15.405 * [backup-simplify]: Simplify -1 into -1
15.405 * [taylor]: Taking taylor expansion of lambda1 in lambda2
15.405 * [backup-simplify]: Simplify lambda1 into lambda1
15.405 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1)
15.405 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1))
15.405 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1))
15.405 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2
15.405 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2
15.405 * [taylor]: Taking taylor expansion of -1 in lambda2
15.405 * [backup-simplify]: Simplify -1 into -1
15.405 * [taylor]: Taking taylor expansion of lambda2 in lambda2
15.405 * [backup-simplify]: Simplify 0 into 0
15.405 * [backup-simplify]: Simplify 1 into 1
15.405 * [backup-simplify]: Simplify (/ -1 1) into -1
15.405 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2))
15.405 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) 1) into (sin (/ -1 lambda1))
15.405 * [backup-simplify]: Simplify (* (cos (/ -1 lambda1)) 0) into 0
15.405 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda1)) 0) into (sin (/ -1 lambda1))
15.405 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))
15.405 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1
15.405 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1
15.406 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1
15.406 * [taylor]: Taking taylor expansion of -1 in lambda1
15.406 * [backup-simplify]: Simplify -1 into -1
15.406 * [taylor]: Taking taylor expansion of lambda1 in lambda1
15.406 * [backup-simplify]: Simplify 0 into 0
15.406 * [backup-simplify]: Simplify 1 into 1
15.406 * [backup-simplify]: Simplify (/ -1 1) into -1
15.406 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1))
15.406 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1
15.406 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1
15.406 * [taylor]: Taking taylor expansion of -1 in lambda1
15.406 * [backup-simplify]: Simplify -1 into -1
15.406 * [taylor]: Taking taylor expansion of lambda2 in lambda1
15.406 * [backup-simplify]: Simplify lambda2 into lambda2
15.406 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2)
15.406 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2))
15.406 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2))
15.406 * [backup-simplify]: Simplify (* (sin (/ -1 lambda2)) 1) into (sin (/ -1 lambda2))
15.406 * [backup-simplify]: Simplify (* (cos (/ -1 lambda2)) 0) into 0
15.406 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda2)) 0) into (sin (/ -1 lambda2))
15.406 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))
15.406 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))
15.407 * [backup-simplify]: Simplify (+ 0) into 0
15.407 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 1)) into 0
15.407 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)))) into 0
15.408 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.408 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (* 0 0)) into 0
15.408 * [backup-simplify]: Simplify (+ 0 0) into 0
15.408 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (sin (/ -1 lambda2)))) into 0
15.408 * [taylor]: Taking taylor expansion of 0 in lambda1
15.408 * [backup-simplify]: Simplify 0 into 0
15.408 * [backup-simplify]: Simplify 0 into 0
15.409 * [backup-simplify]: Simplify (+ 0) into 0
15.409 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (* 0 1)) into 0
15.409 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)))) into 0
15.409 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.410 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (* 0 0)) into 0
15.410 * [backup-simplify]: Simplify (+ 0 0) into 0
15.410 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (sin (/ -1 lambda2)))) into 0
15.410 * [backup-simplify]: Simplify 0 into 0
15.411 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.411 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0
15.411 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0
15.412 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.412 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0
15.412 * [backup-simplify]: Simplify (+ 0 0) into 0
15.413 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2))))) into 0
15.413 * [taylor]: Taking taylor expansion of 0 in lambda1
15.413 * [backup-simplify]: Simplify 0 into 0
15.413 * [backup-simplify]: Simplify 0 into 0
15.413 * [backup-simplify]: Simplify 0 into 0
15.413 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.414 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0
15.414 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0
15.414 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.415 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0
15.415 * [backup-simplify]: Simplify (+ 0 0) into 0
15.415 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2))))) into 0
15.415 * [backup-simplify]: Simplify 0 into 0
15.416 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
15.416 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
15.416 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0
15.417 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
15.418 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
15.418 * [backup-simplify]: Simplify (+ 0 0) into 0
15.418 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2)))))) into 0
15.418 * [taylor]: Taking taylor expansion of 0 in lambda1
15.419 * [backup-simplify]: Simplify 0 into 0
15.419 * [backup-simplify]: Simplify 0 into 0
15.419 * [backup-simplify]: Simplify (* (sin (/ -1 (/ 1 (- lambda1)))) (sin (/ -1 (/ 1 (- lambda2))))) into (* (sin lambda1) (sin lambda2))
15.419 * * * [progress]: simplifying candidates
15.419 * * * * [progress]: [ 1 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) R))>
15.419 * * * * [progress]: [ 2 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (pow (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))) 1) R))>
15.419 * * * * [progress]: [ 3 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))))) R))>
15.419 * * * * [progress]: [ 4 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))))) R))>
15.419 * * * * [progress]: [ 5 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))))) R))>
15.419 * * * * [progress]: [ 6 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (cbrt (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))))) R))>
15.419 * * * * [progress]: [ 7 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))))) R))>
15.419 * * * * [progress]: [ 8 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* 1 (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) R))>
15.419 * * * * [progress]: [ 9 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (posit16->real (real->posit16 (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))))) R))>
15.419 * * * * [progress]: [ 10 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))) R) 1))>
15.419 * [simplify]: Simplifying (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))) R)
15.419 * * [simplify]: iters left: 6 (22 enodes)
15.424 * * [simplify]: iters left: 5 (82 enodes)
15.445 * * [simplify]: iters left: 4 (136 enodes)
15.478 * * [simplify]: iters left: 3 (268 enodes)
15.541 * * [simplify]: iters left: 2 (390 enodes)
15.623 * * [simplify]: iters left: 1 (424 enodes)
15.674 * * [simplify]: Extracting #0: cost 1 inf + 0
15.674 * * [simplify]: Extracting #1: cost 4 inf + 0
15.674 * * [simplify]: Extracting #2: cost 5 inf + 1
15.674 * * [simplify]: Extracting #3: cost 12 inf + 1
15.674 * * [simplify]: Extracting #4: cost 48 inf + 1
15.674 * * [simplify]: Extracting #5: cost 82 inf + 1
15.674 * * [simplify]: Extracting #6: cost 73 inf + 310
15.675 * * [simplify]: Extracting #7: cost 40 inf + 6456
15.678 * * [simplify]: Extracting #8: cost 9 inf + 16767
15.682 * * [simplify]: Extracting #9: cost 0 inf + 21839
15.685 * * [simplify]: Extracting #10: cost 0 inf + 21519
15.689 * [simplify]: Simplified to (* (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1)))) R)
15.689 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (pow (* (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1)))) R) 1))
15.689 * * * * [progress]: [ 11 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))) R) 1))>
15.689 * * * * [progress]: [ 12 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (exp (+ (log (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) (log R))))>
15.689 * [simplify]: Simplifying (+ (log (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) (log R))
15.690 * * [simplify]: iters left: 6 (24 enodes)
15.701 * * [simplify]: iters left: 5 (88 enodes)
15.727 * * [simplify]: iters left: 4 (142 enodes)
15.759 * * [simplify]: iters left: 3 (274 enodes)
15.836 * * [simplify]: iters left: 2 (410 enodes)
15.928 * * [simplify]: iters left: 1 (459 enodes)
16.013 * * [simplify]: Extracting #0: cost 1 inf + 0
16.013 * * [simplify]: Extracting #1: cost 4 inf + 0
16.013 * * [simplify]: Extracting #2: cost 8 inf + 0
16.014 * * [simplify]: Extracting #3: cost 7 inf + 143
16.014 * * [simplify]: Extracting #4: cost 15 inf + 143
16.014 * * [simplify]: Extracting #5: cost 52 inf + 143
16.014 * * [simplify]: Extracting #6: cost 86 inf + 143
16.014 * * [simplify]: Extracting #7: cost 71 inf + 1020
16.015 * * [simplify]: Extracting #8: cost 46 inf + 5668
16.018 * * [simplify]: Extracting #9: cost 13 inf + 15745
16.021 * * [simplify]: Extracting #10: cost 6 inf + 19291
16.025 * * [simplify]: Extracting #11: cost 2 inf + 22847
16.031 * * [simplify]: Extracting #12: cost 1 inf + 23882
16.040 * * [simplify]: Extracting #13: cost 0 inf + 24917
16.048 * [simplify]: Simplified to (+ (log (acos (+ (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi2)) (cos phi1)) (* (sin phi2) (sin phi1))))) (log R))
16.048 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (exp (+ (log (acos (+ (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi2)) (cos phi1)) (* (sin phi2) (sin phi1))))) (log R))))
16.049 * * * * [progress]: [ 13 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (exp (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))) R))))>
16.049 * * * * [progress]: [ 14 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (log (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))) R))))>
16.049 * * * * [progress]: [ 15 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (cbrt (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) (* (* R R) R))))>
16.049 * [simplify]: Simplifying (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) (* (* R R) R))
16.049 * * [simplify]: iters left: 6 (26 enodes)
16.060 * * [simplify]: iters left: 5 (100 enodes)
16.078 * * [simplify]: iters left: 4 (183 enodes)
16.129 * * [simplify]: iters left: 3 (369 enodes)
16.218 * * [simplify]: Extracting #0: cost 1 inf + 0
16.218 * * [simplify]: Extracting #1: cost 23 inf + 0
16.218 * * [simplify]: Extracting #2: cost 47 inf + 214
16.218 * * [simplify]: Extracting #3: cost 56 inf + 549
16.218 * * [simplify]: Extracting #4: cost 96 inf + 672
16.219 * * [simplify]: Extracting #5: cost 129 inf + 884
16.219 * * [simplify]: Extracting #6: cost 117 inf + 1477
16.221 * * [simplify]: Extracting #7: cost 75 inf + 9588
16.226 * * [simplify]: Extracting #8: cost 44 inf + 21286
16.231 * * [simplify]: Extracting #9: cost 30 inf + 32948
16.241 * * [simplify]: Extracting #10: cost 5 inf + 58681
16.260 * * [simplify]: Extracting #11: cost 0 inf + 63907
16.281 * [simplify]: Simplified to (* (* (* (acos (+ (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) R) (* (acos (+ (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) R)) (* (acos (+ (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) R))
16.281 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (cbrt (* (* (* (acos (+ (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) R) (* (acos (+ (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) R)) (* (acos (+ (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) R))))
16.281 * * * * [progress]: [ 16 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))) R))))>
16.281 * * * * [progress]: [ 17 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (cbrt (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))) R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))) R))))>
16.281 * * * * [progress]: [ 18 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))) R))))>
16.281 * * * * [progress]: [ 19 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* 1 (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))) R)))>
16.282 * * * * [progress]: [ 20 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) (sqrt R))))>
16.282 * [simplify]: Simplifying (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) (sqrt R))
16.282 * * [simplify]: iters left: 6 (24 enodes)
16.287 * * [simplify]: iters left: 5 (88 enodes)
16.299 * * [simplify]: iters left: 4 (142 enodes)
16.341 * * [simplify]: iters left: 3 (274 enodes)
16.416 * * [simplify]: iters left: 2 (410 enodes)
16.513 * * [simplify]: iters left: 1 (459 enodes)
16.603 * * [simplify]: Extracting #0: cost 1 inf + 0
16.604 * * [simplify]: Extracting #1: cost 4 inf + 0
16.604 * * [simplify]: Extracting #2: cost 8 inf + 0
16.604 * * [simplify]: Extracting #3: cost 7 inf + 83
16.604 * * [simplify]: Extracting #4: cost 15 inf + 83
16.604 * * [simplify]: Extracting #5: cost 52 inf + 83
16.604 * * [simplify]: Extracting #6: cost 86 inf + 83
16.604 * * [simplify]: Extracting #7: cost 71 inf + 960
16.605 * * [simplify]: Extracting #8: cost 46 inf + 5608
16.608 * * [simplify]: Extracting #9: cost 13 inf + 15685
16.611 * * [simplify]: Extracting #10: cost 6 inf + 19231
16.615 * * [simplify]: Extracting #11: cost 2 inf + 22727
16.619 * * [simplify]: Extracting #12: cost 1 inf + 23702
16.623 * * [simplify]: Extracting #13: cost 0 inf + 24677
16.627 * [simplify]: Simplified to (* (sqrt R) (sqrt (acos (+ (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi2)) (cos phi1)) (* (sin phi2) (sin phi1))))))
16.627 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt R) (sqrt (acos (+ (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi2)) (cos phi1)) (* (sin phi2) (sin phi1)))))) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) (sqrt R))))
16.627 * [simplify]: Simplifying (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) (sqrt R))
16.627 * * [simplify]: iters left: 6 (24 enodes)
16.632 * * [simplify]: iters left: 5 (88 enodes)
16.651 * * [simplify]: iters left: 4 (142 enodes)
16.703 * * [simplify]: iters left: 3 (274 enodes)
16.809 * * [simplify]: iters left: 2 (410 enodes)
16.911 * * [simplify]: iters left: 1 (459 enodes)
16.983 * * [simplify]: Extracting #0: cost 1 inf + 0
16.983 * * [simplify]: Extracting #1: cost 4 inf + 0
16.983 * * [simplify]: Extracting #2: cost 8 inf + 0
16.983 * * [simplify]: Extracting #3: cost 7 inf + 83
16.983 * * [simplify]: Extracting #4: cost 15 inf + 83
16.983 * * [simplify]: Extracting #5: cost 52 inf + 83
16.984 * * [simplify]: Extracting #6: cost 86 inf + 83
16.985 * * [simplify]: Extracting #7: cost 71 inf + 960
16.988 * * [simplify]: Extracting #8: cost 46 inf + 5608
16.992 * * [simplify]: Extracting #9: cost 13 inf + 15685
16.995 * * [simplify]: Extracting #10: cost 6 inf + 19231
16.999 * * [simplify]: Extracting #11: cost 2 inf + 22727
17.003 * * [simplify]: Extracting #12: cost 1 inf + 23702
17.007 * * [simplify]: Extracting #13: cost 0 inf + 24677
17.011 * [simplify]: Simplified to (* (sqrt R) (sqrt (acos (+ (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi2)) (cos phi1)) (* (sin phi2) (sin phi1))))))
17.011 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) (sqrt R)) (* (sqrt R) (sqrt (acos (+ (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi2)) (cos phi1)) (* (sin phi2) (sin phi1))))))))
17.011 * * * * [progress]: [ 21 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))) (* (cbrt R) (cbrt R))) (cbrt R)))>
17.012 * [simplify]: Simplifying (cbrt R)
17.012 * * [simplify]: iters left: 1 (2 enodes)
17.012 * * [simplify]: Extracting #0: cost 1 inf + 0
17.012 * * [simplify]: Extracting #1: cost 3 inf + 0
17.012 * * [simplify]: Extracting #2: cost 2 inf + 1
17.012 * * [simplify]: Extracting #3: cost 0 inf + 163
17.012 * [simplify]: Simplified to (cbrt R)
17.012 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))) (* (cbrt R) (cbrt R))) (cbrt R)))
17.012 * * * * [progress]: [ 22 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))) (sqrt R)) (sqrt R)))>
17.013 * [simplify]: Simplifying (sqrt R)
17.013 * * [simplify]: iters left: 1 (2 enodes)
17.013 * * [simplify]: Extracting #0: cost 1 inf + 0
17.013 * * [simplify]: Extracting #1: cost 3 inf + 0
17.013 * * [simplify]: Extracting #2: cost 2 inf + 1
17.013 * * [simplify]: Extracting #3: cost 0 inf + 83
17.013 * [simplify]: Simplified to (sqrt R)
17.013 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))) (sqrt R)) (sqrt R)))
17.013 * * * * [progress]: [ 23 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))) 1) R))>
17.013 * * * * [progress]: [ 24 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) R)))>
17.013 * [simplify]: Simplifying (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))))
17.014 * * [simplify]: iters left: 6 (22 enodes)
17.018 * * [simplify]: iters left: 5 (81 enodes)
17.037 * * [simplify]: iters left: 4 (135 enodes)
17.085 * * [simplify]: iters left: 3 (267 enodes)
17.156 * * [simplify]: iters left: 2 (402 enodes)
17.284 * * [simplify]: iters left: 1 (450 enodes)
17.348 * * [simplify]: Extracting #0: cost 1 inf + 0
17.348 * * [simplify]: Extracting #1: cost 3 inf + 0
17.348 * * [simplify]: Extracting #2: cost 5 inf + 0
17.348 * * [simplify]: Extracting #3: cost 7 inf + 0
17.348 * * [simplify]: Extracting #4: cost 16 inf + 0
17.348 * * [simplify]: Extracting #5: cost 54 inf + 0
17.348 * * [simplify]: Extracting #6: cost 88 inf + 0
17.349 * * [simplify]: Extracting #7: cost 74 inf + 715
17.350 * * [simplify]: Extracting #8: cost 43 inf + 6539
17.352 * * [simplify]: Extracting #9: cost 16 inf + 15038
17.357 * * [simplify]: Extracting #10: cost 8 inf + 19148
17.365 * * [simplify]: Extracting #11: cost 2 inf + 23852
17.373 * * [simplify]: Extracting #12: cost 0 inf + 25800
17.381 * [simplify]: Simplified to (* (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi2) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)))))) (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi2) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)))))))
17.382 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi2) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)))))) (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi2) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) R)))
17.382 * * * * [progress]: [ 25 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) R)))>
17.382 * [simplify]: Simplifying (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))))
17.382 * * [simplify]: iters left: 6 (21 enodes)
17.391 * * [simplify]: iters left: 5 (78 enodes)
17.414 * * [simplify]: iters left: 4 (132 enodes)
17.453 * * [simplify]: iters left: 3 (263 enodes)
17.521 * * [simplify]: iters left: 2 (389 enodes)
17.609 * * [simplify]: iters left: 1 (414 enodes)
17.662 * * [simplify]: Extracting #0: cost 1 inf + 0
17.663 * * [simplify]: Extracting #1: cost 3 inf + 0
17.663 * * [simplify]: Extracting #2: cost 5 inf + 0
17.663 * * [simplify]: Extracting #3: cost 13 inf + 0
17.663 * * [simplify]: Extracting #4: cost 50 inf + 0
17.663 * * [simplify]: Extracting #5: cost 84 inf + 0
17.663 * * [simplify]: Extracting #6: cost 73 inf + 532
17.664 * * [simplify]: Extracting #7: cost 41 inf + 6318
17.667 * * [simplify]: Extracting #8: cost 8 inf + 17755
17.671 * * [simplify]: Extracting #9: cost 1 inf + 21990
17.679 * * [simplify]: Extracting #10: cost 0 inf + 22724
17.687 * * [simplify]: Extracting #11: cost 0 inf + 22644
17.694 * [simplify]: Simplified to (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2)))))
17.694 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2))))) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) R)))
17.695 * * * * [progress]: [ 26 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* 1 (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))) R)))>
17.695 * * * * [progress]: [ 27 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (posit16->real (real->posit16 (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))) R))))>
17.695 * * * * [progress]: [ 28 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))))>
17.695 * * * * [progress]: [ 29 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (/ (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) 2) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))) R))>
17.695 * [simplify]: Simplifying (- (cos (- phi1 phi2)) (cos (+ phi1 phi2)))
17.695 * * [simplify]: iters left: 5 (7 enodes)
17.699 * * [simplify]: iters left: 4 (26 enodes)
17.704 * * [simplify]: iters left: 3 (32 enodes)
17.708 * * [simplify]: Extracting #0: cost 1 inf + 0
17.708 * * [simplify]: Extracting #1: cost 5 inf + 0
17.708 * * [simplify]: Extracting #2: cost 10 inf + 0
17.708 * * [simplify]: Extracting #3: cost 15 inf + 0
17.708 * * [simplify]: Extracting #4: cost 13 inf + 43
17.708 * * [simplify]: Extracting #5: cost 4 inf + 800
17.708 * * [simplify]: Extracting #6: cost 1 inf + 1186
17.709 * * [simplify]: Extracting #7: cost 0 inf + 1428
17.709 * [simplify]: Simplified to (- (cos (- phi1 phi2)) (cos (+ phi2 phi1)))
17.709 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (/ (- (cos (- phi1 phi2)) (cos (+ phi2 phi1))) 2) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))) R))
17.709 * * * * [progress]: [ 30 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (pow (* (sin phi1) (sin phi2)) 1) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))) R))>
17.709 * [simplify]: Simplifying (* (sin phi1) (sin phi2))
17.709 * * [simplify]: iters left: 3 (5 enodes)
17.710 * * [simplify]: iters left: 2 (16 enodes)
17.712 * * [simplify]: Extracting #0: cost 1 inf + 0
17.712 * * [simplify]: Extracting #1: cost 4 inf + 0
17.712 * * [simplify]: Extracting #2: cost 8 inf + 0
17.712 * * [simplify]: Extracting #3: cost 4 inf + 124
17.712 * * [simplify]: Extracting #4: cost 0 inf + 570
17.712 * [simplify]: Simplified to (* (sin phi2) (sin phi1))
17.712 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (pow (* (sin phi2) (sin phi1)) 1) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))) R))
17.712 * * * * [progress]: [ 31 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (pow (* (sin phi1) (sin phi2)) 1) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))) R))>
17.713 * * * * [progress]: [ 32 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (exp (+ (log (sin phi1)) (log (sin phi2)))) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))) R))>
17.713 * [simplify]: Simplifying (+ (log (sin phi1)) (log (sin phi2)))
17.713 * * [simplify]: iters left: 4 (7 enodes)
17.714 * * [simplify]: iters left: 3 (22 enodes)
17.718 * * [simplify]: Extracting #0: cost 1 inf + 0
17.718 * * [simplify]: Extracting #1: cost 4 inf + 0
17.718 * * [simplify]: Extracting #2: cost 8 inf + 0
17.718 * * [simplify]: Extracting #3: cost 12 inf + 0
17.718 * * [simplify]: Extracting #4: cost 10 inf + 2
17.718 * * [simplify]: Extracting #5: cost 4 inf + 508
17.718 * * [simplify]: Extracting #6: cost 1 inf + 1072
17.718 * * [simplify]: Extracting #7: cost 0 inf + 1374
17.718 * [simplify]: Simplified to (+ (log (sin phi2)) (log (sin phi1)))
17.718 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (exp (+ (log (sin phi2)) (log (sin phi1)))) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))) R))
17.718 * * * * [progress]: [ 33 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (exp (log (* (sin phi1) (sin phi2)))) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))) R))>
17.719 * * * * [progress]: [ 34 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))) R))>
17.719 * * * * [progress]: [ 35 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2)))) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))) R))>
17.719 * [simplify]: Simplifying (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2)))
17.719 * * [simplify]: iters left: 6 (9 enodes)
17.721 * * [simplify]: iters left: 5 (34 enodes)
17.729 * * [simplify]: iters left: 4 (63 enodes)
17.753 * * [simplify]: iters left: 3 (122 enodes)
17.799 * * [simplify]: iters left: 2 (196 enodes)
17.864 * * [simplify]: iters left: 1 (356 enodes)
18.005 * * [simplify]: Extracting #0: cost 1 inf + 0
18.005 * * [simplify]: Extracting #1: cost 70 inf + 0
18.005 * * [simplify]: Extracting #2: cost 169 inf + 1
18.006 * * [simplify]: Extracting #3: cost 154 inf + 2658
18.010 * * [simplify]: Extracting #4: cost 86 inf + 31524
18.017 * * [simplify]: Extracting #5: cost 7 inf + 77226
18.029 * * [simplify]: Extracting #6: cost 0 inf + 81813
18.045 * [simplify]: Simplified to (* (* (* (sin phi2) (sin phi1)) (* (sin phi2) (sin phi1))) (* (sin phi2) (sin phi1)))
18.045 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (* (* (sin phi2) (sin phi1)) (* (sin phi2) (sin phi1))) (* (sin phi2) (sin phi1)))) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))) R))
18.045 * * * * [progress]: [ 36 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2)))) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))) R))>
18.045 * * * * [progress]: [ 37 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2)))) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))) R))>
18.046 * * * * [progress]: [ 38 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2)))) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))) R))>
18.046 * * * * [progress]: [ 39 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* 1 (* (sin phi1) (sin phi2))) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))) R))>
18.046 * * * * [progress]: [ 40 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2)))) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))) R))>
18.046 * [simplify]: Simplifying (* (sqrt (sin phi1)) (sqrt (sin phi2)))
18.046 * * [simplify]: iters left: 4 (7 enodes)
18.048 * * [simplify]: iters left: 3 (22 enodes)
18.050 * * [simplify]: Extracting #0: cost 1 inf + 0
18.050 * * [simplify]: Extracting #1: cost 4 inf + 0
18.050 * * [simplify]: Extracting #2: cost 8 inf + 0
18.050 * * [simplify]: Extracting #3: cost 12 inf + 0
18.050 * * [simplify]: Extracting #4: cost 10 inf + 2
18.050 * * [simplify]: Extracting #5: cost 4 inf + 448
18.051 * * [simplify]: Extracting #6: cost 1 inf + 892
18.051 * * [simplify]: Extracting #7: cost 0 inf + 1134
18.051 * [simplify]: Simplified to (* (sqrt (sin phi1)) (sqrt (sin phi2)))
18.051 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2)))) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))) R))
18.051 * [simplify]: Simplifying (* (sqrt (sin phi1)) (sqrt (sin phi2)))
18.051 * * [simplify]: iters left: 4 (7 enodes)
18.053 * * [simplify]: iters left: 3 (22 enodes)
18.055 * * [simplify]: Extracting #0: cost 1 inf + 0
18.055 * * [simplify]: Extracting #1: cost 4 inf + 0
18.055 * * [simplify]: Extracting #2: cost 8 inf + 0
18.055 * * [simplify]: Extracting #3: cost 12 inf + 0
18.055 * * [simplify]: Extracting #4: cost 10 inf + 2
18.055 * * [simplify]: Extracting #5: cost 4 inf + 448
18.055 * * [simplify]: Extracting #6: cost 1 inf + 892
18.056 * * [simplify]: Extracting #7: cost 0 inf + 1134
18.056 * [simplify]: Simplified to (* (sqrt (sin phi1)) (sqrt (sin phi2)))
18.056 * [simplify]: Simplified (2 1 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2)))) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))) R))
18.056 * * * * [progress]: [ 41 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (cbrt (sin phi2))) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))) R))>
18.056 * [simplify]: Simplifying (cbrt (sin phi2))
18.056 * * [simplify]: iters left: 2 (3 enodes)
18.057 * * [simplify]: iters left: 1 (9 enodes)
18.058 * * [simplify]: Extracting #0: cost 1 inf + 0
18.058 * * [simplify]: Extracting #1: cost 3 inf + 0
18.058 * * [simplify]: Extracting #2: cost 5 inf + 0
18.058 * * [simplify]: Extracting #3: cost 4 inf + 1
18.058 * * [simplify]: Extracting #4: cost 0 inf + 405
18.058 * [simplify]: Simplified to (cbrt (sin phi2))
18.058 * [simplify]: Simplified (2 1 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (cbrt (sin phi2))) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))) R))
18.058 * * * * [progress]: [ 42 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sin phi1) (sqrt (sin phi2))) (sqrt (sin phi2))) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))) R))>
18.058 * [simplify]: Simplifying (sqrt (sin phi2))
18.058 * * [simplify]: iters left: 2 (3 enodes)
18.059 * * [simplify]: iters left: 1 (9 enodes)
18.060 * * [simplify]: Extracting #0: cost 1 inf + 0
18.060 * * [simplify]: Extracting #1: cost 3 inf + 0
18.060 * * [simplify]: Extracting #2: cost 5 inf + 0
18.060 * * [simplify]: Extracting #3: cost 4 inf + 1
18.061 * * [simplify]: Extracting #4: cost 0 inf + 325
18.061 * [simplify]: Simplified to (sqrt (sin phi2))
18.061 * [simplify]: Simplified (2 1 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sin phi1) (sqrt (sin phi2))) (sqrt (sin phi2))) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))) R))
18.061 * * * * [progress]: [ 43 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sin phi1) 1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))) R))>
18.061 * [simplify]: Simplifying (sin phi2)
18.061 * * [simplify]: iters left: 1 (2 enodes)
18.061 * * [simplify]: Extracting #0: cost 1 inf + 0
18.061 * * [simplify]: Extracting #1: cost 3 inf + 0
18.061 * * [simplify]: Extracting #2: cost 2 inf + 1
18.061 * * [simplify]: Extracting #3: cost 0 inf + 123
18.061 * [simplify]: Simplified to (sin phi2)
18.061 * [simplify]: Simplified (2 1 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sin phi1) 1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))) R))
18.062 * * * * [progress]: [ 44 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (cbrt (sin phi1)) (cbrt (sin phi1))) (* (cbrt (sin phi1)) (sin phi2))) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))) R))>
18.062 * [simplify]: Simplifying (* (cbrt (sin phi1)) (cbrt (sin phi1)))
18.062 * * [simplify]: iters left: 4 (4 enodes)
18.063 * * [simplify]: iters left: 3 (12 enodes)
18.064 * * [simplify]: Extracting #0: cost 1 inf + 0
18.064 * * [simplify]: Extracting #1: cost 3 inf + 0
18.064 * * [simplify]: Extracting #2: cost 5 inf + 0
18.064 * * [simplify]: Extracting #3: cost 7 inf + 0
18.064 * * [simplify]: Extracting #4: cost 6 inf + 1
18.064 * * [simplify]: Extracting #5: cost 0 inf + 767
18.064 * [simplify]: Simplified to (* (cbrt (sin phi1)) (cbrt (sin phi1)))
18.064 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (cbrt (sin phi1)) (cbrt (sin phi1))) (* (cbrt (sin phi1)) (sin phi2))) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))) R))
18.065 * * * * [progress]: [ 45 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sqrt (sin phi1)) (* (sqrt (sin phi1)) (sin phi2))) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))) R))>
18.065 * [simplify]: Simplifying (sqrt (sin phi1))
18.065 * * [simplify]: iters left: 2 (3 enodes)
18.065 * * [simplify]: iters left: 1 (9 enodes)
18.066 * * [simplify]: Extracting #0: cost 1 inf + 0
18.066 * * [simplify]: Extracting #1: cost 3 inf + 0
18.066 * * [simplify]: Extracting #2: cost 5 inf + 0
18.066 * * [simplify]: Extracting #3: cost 4 inf + 1
18.067 * * [simplify]: Extracting #4: cost 0 inf + 325
18.067 * [simplify]: Simplified to (sqrt (sin phi1))
18.067 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sqrt (sin phi1)) (* (sqrt (sin phi1)) (sin phi2))) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))) R))
18.067 * * * * [progress]: [ 46 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* 1 (* (sin phi1) (sin phi2))) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))) R))>
18.067 * * * * [progress]: [ 47 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (posit16->real (real->posit16 (* (sin phi1) (sin phi2)))) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))) R))>
18.067 * * * * [progress]: [ 48 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))) R))>
18.067 * * * * [progress]: [ 49 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (/ (- (cos (- lambda2 lambda1)) (cos (+ lambda2 lambda1))) 2) (* (cos lambda1) (cos lambda2))))))) R))>
18.067 * [simplify]: Simplifying (- (cos (- lambda2 lambda1)) (cos (+ lambda2 lambda1)))
18.067 * * [simplify]: iters left: 5 (7 enodes)
18.068 * * [simplify]: iters left: 4 (26 enodes)
18.074 * * [simplify]: iters left: 3 (32 enodes)
18.081 * * [simplify]: Extracting #0: cost 1 inf + 0
18.081 * * [simplify]: Extracting #1: cost 5 inf + 0
18.082 * * [simplify]: Extracting #2: cost 10 inf + 0
18.082 * * [simplify]: Extracting #3: cost 15 inf + 0
18.082 * * [simplify]: Extracting #4: cost 13 inf + 43
18.082 * * [simplify]: Extracting #5: cost 4 inf + 800
18.082 * * [simplify]: Extracting #6: cost 1 inf + 1186
18.083 * * [simplify]: Extracting #7: cost 0 inf + 1428
18.083 * [simplify]: Simplified to (- (cos (- lambda2 lambda1)) (cos (+ lambda1 lambda2)))
18.083 * [simplify]: Simplified (2 1 1 2 2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (/ (- (cos (- lambda2 lambda1)) (cos (+ lambda1 lambda2))) 2) (* (cos lambda1) (cos lambda2))))))) R))
18.084 * * * * [progress]: [ 50 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (pow (* (sin lambda2) (sin lambda1)) 1) (* (cos lambda1) (cos lambda2))))))) R))>
18.084 * [simplify]: Simplifying (* (sin lambda2) (sin lambda1))
18.084 * * [simplify]: iters left: 3 (5 enodes)
18.086 * * [simplify]: iters left: 2 (16 enodes)
18.090 * * [simplify]: Extracting #0: cost 1 inf + 0
18.090 * * [simplify]: Extracting #1: cost 4 inf + 0
18.090 * * [simplify]: Extracting #2: cost 8 inf + 0
18.090 * * [simplify]: Extracting #3: cost 4 inf + 124
18.090 * * [simplify]: Extracting #4: cost 0 inf + 570
18.090 * [simplify]: Simplified to (* (sin lambda1) (sin lambda2))
18.091 * [simplify]: Simplified (2 1 1 2 2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (pow (* (sin lambda1) (sin lambda2)) 1) (* (cos lambda1) (cos lambda2))))))) R))
18.091 * * * * [progress]: [ 51 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (pow (* (sin lambda2) (sin lambda1)) 1) (* (cos lambda1) (cos lambda2))))))) R))>
18.091 * * * * [progress]: [ 52 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (exp (+ (log (sin lambda2)) (log (sin lambda1)))) (* (cos lambda1) (cos lambda2))))))) R))>
18.091 * [simplify]: Simplifying (+ (log (sin lambda2)) (log (sin lambda1)))
18.091 * * [simplify]: iters left: 4 (7 enodes)
18.092 * * [simplify]: iters left: 3 (22 enodes)
18.095 * * [simplify]: Extracting #0: cost 1 inf + 0
18.095 * * [simplify]: Extracting #1: cost 4 inf + 0
18.095 * * [simplify]: Extracting #2: cost 8 inf + 0
18.095 * * [simplify]: Extracting #3: cost 12 inf + 0
18.095 * * [simplify]: Extracting #4: cost 10 inf + 2
18.095 * * [simplify]: Extracting #5: cost 4 inf + 508
18.095 * * [simplify]: Extracting #6: cost 1 inf + 1072
18.096 * * [simplify]: Extracting #7: cost 0 inf + 1374
18.096 * [simplify]: Simplified to (+ (log (sin lambda1)) (log (sin lambda2)))
18.096 * [simplify]: Simplified (2 1 1 2 2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (exp (+ (log (sin lambda1)) (log (sin lambda2)))) (* (cos lambda1) (cos lambda2))))))) R))
18.096 * * * * [progress]: [ 53 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (exp (log (* (sin lambda2) (sin lambda1)))) (* (cos lambda1) (cos lambda2))))))) R))>
18.096 * * * * [progress]: [ 54 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (log (exp (* (sin lambda2) (sin lambda1)))) (* (cos lambda1) (cos lambda2))))))) R))>
18.096 * * * * [progress]: [ 55 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (cbrt (* (* (* (sin lambda2) (sin lambda2)) (sin lambda2)) (* (* (sin lambda1) (sin lambda1)) (sin lambda1)))) (* (cos lambda1) (cos lambda2))))))) R))>
18.096 * [simplify]: Simplifying (* (* (* (sin lambda2) (sin lambda2)) (sin lambda2)) (* (* (sin lambda1) (sin lambda1)) (sin lambda1)))
18.096 * * [simplify]: iters left: 6 (9 enodes)
18.098 * * [simplify]: iters left: 5 (34 enodes)
18.103 * * [simplify]: iters left: 4 (63 enodes)
18.115 * * [simplify]: iters left: 3 (122 enodes)
18.157 * * [simplify]: iters left: 2 (196 enodes)
18.216 * * [simplify]: iters left: 1 (356 enodes)
18.347 * * [simplify]: Extracting #0: cost 1 inf + 0
18.347 * * [simplify]: Extracting #1: cost 70 inf + 0
18.348 * * [simplify]: Extracting #2: cost 169 inf + 1
18.348 * * [simplify]: Extracting #3: cost 154 inf + 2658
18.352 * * [simplify]: Extracting #4: cost 86 inf + 31524
18.365 * * [simplify]: Extracting #5: cost 7 inf + 77226
18.382 * * [simplify]: Extracting #6: cost 0 inf + 81813
18.398 * [simplify]: Simplified to (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2)))
18.398 * [simplify]: Simplified (2 1 1 2 2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (cbrt (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2)))) (* (cos lambda1) (cos lambda2))))))) R))
18.398 * * * * [progress]: [ 56 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (* (cbrt (* (sin lambda2) (sin lambda1))) (cbrt (* (sin lambda2) (sin lambda1)))) (cbrt (* (sin lambda2) (sin lambda1)))) (* (cos lambda1) (cos lambda2))))))) R))>
18.398 * * * * [progress]: [ 57 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (cbrt (* (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))) (* (sin lambda2) (sin lambda1)))) (* (cos lambda1) (cos lambda2))))))) R))>
18.398 * * * * [progress]: [ 58 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sqrt (* (sin lambda2) (sin lambda1))) (sqrt (* (sin lambda2) (sin lambda1)))) (* (cos lambda1) (cos lambda2))))))) R))>
18.398 * * * * [progress]: [ 59 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* 1 (* (sin lambda2) (sin lambda1))) (* (cos lambda1) (cos lambda2))))))) R))>
18.398 * * * * [progress]: [ 60 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (* (sqrt (sin lambda2)) (sqrt (sin lambda1))) (* (sqrt (sin lambda2)) (sqrt (sin lambda1)))) (* (cos lambda1) (cos lambda2))))))) R))>
18.399 * [simplify]: Simplifying (* (sqrt (sin lambda2)) (sqrt (sin lambda1)))
18.399 * * [simplify]: iters left: 4 (7 enodes)
18.401 * * [simplify]: iters left: 3 (22 enodes)
18.407 * * [simplify]: Extracting #0: cost 1 inf + 0
18.407 * * [simplify]: Extracting #1: cost 4 inf + 0
18.407 * * [simplify]: Extracting #2: cost 8 inf + 0
18.407 * * [simplify]: Extracting #3: cost 12 inf + 0
18.407 * * [simplify]: Extracting #4: cost 10 inf + 2
18.407 * * [simplify]: Extracting #5: cost 4 inf + 448
18.407 * * [simplify]: Extracting #6: cost 1 inf + 892
18.408 * * [simplify]: Extracting #7: cost 0 inf + 1134
18.408 * [simplify]: Simplified to (* (sqrt (sin lambda2)) (sqrt (sin lambda1)))
18.408 * [simplify]: Simplified (2 1 1 2 2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (* (sqrt (sin lambda2)) (sqrt (sin lambda1))) (* (sqrt (sin lambda2)) (sqrt (sin lambda1)))) (* (cos lambda1) (cos lambda2))))))) R))
18.408 * [simplify]: Simplifying (* (sqrt (sin lambda2)) (sqrt (sin lambda1)))
18.409 * * [simplify]: iters left: 4 (7 enodes)
18.411 * * [simplify]: iters left: 3 (22 enodes)
18.415 * * [simplify]: Extracting #0: cost 1 inf + 0
18.416 * * [simplify]: Extracting #1: cost 4 inf + 0
18.416 * * [simplify]: Extracting #2: cost 8 inf + 0
18.416 * * [simplify]: Extracting #3: cost 12 inf + 0
18.416 * * [simplify]: Extracting #4: cost 10 inf + 2
18.416 * * [simplify]: Extracting #5: cost 4 inf + 448
18.416 * * [simplify]: Extracting #6: cost 1 inf + 892
18.418 * * [simplify]: Extracting #7: cost 0 inf + 1134
18.418 * [simplify]: Simplified to (* (sqrt (sin lambda2)) (sqrt (sin lambda1)))
18.419 * [simplify]: Simplified (2 1 1 2 2 2 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (* (sqrt (sin lambda2)) (sqrt (sin lambda1))) (* (sqrt (sin lambda2)) (sqrt (sin lambda1)))) (* (cos lambda1) (cos lambda2))))))) R))
18.419 * * * * [progress]: [ 61 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (* (sin lambda2) (* (cbrt (sin lambda1)) (cbrt (sin lambda1)))) (cbrt (sin lambda1))) (* (cos lambda1) (cos lambda2))))))) R))>
18.419 * [simplify]: Simplifying (cbrt (sin lambda1))
18.419 * * [simplify]: iters left: 2 (3 enodes)
18.420 * * [simplify]: iters left: 1 (9 enodes)
18.421 * * [simplify]: Extracting #0: cost 1 inf + 0
18.421 * * [simplify]: Extracting #1: cost 3 inf + 0
18.421 * * [simplify]: Extracting #2: cost 5 inf + 0
18.421 * * [simplify]: Extracting #3: cost 4 inf + 1
18.421 * * [simplify]: Extracting #4: cost 0 inf + 405
18.421 * [simplify]: Simplified to (cbrt (sin lambda1))
18.421 * [simplify]: Simplified (2 1 1 2 2 2 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (* (sin lambda2) (* (cbrt (sin lambda1)) (cbrt (sin lambda1)))) (cbrt (sin lambda1))) (* (cos lambda1) (cos lambda2))))))) R))
18.422 * * * * [progress]: [ 62 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (* (sin lambda2) (sqrt (sin lambda1))) (sqrt (sin lambda1))) (* (cos lambda1) (cos lambda2))))))) R))>
18.422 * [simplify]: Simplifying (sqrt (sin lambda1))
18.422 * * [simplify]: iters left: 2 (3 enodes)
18.422 * * [simplify]: iters left: 1 (9 enodes)
18.423 * * [simplify]: Extracting #0: cost 1 inf + 0
18.423 * * [simplify]: Extracting #1: cost 3 inf + 0
18.424 * * [simplify]: Extracting #2: cost 5 inf + 0
18.424 * * [simplify]: Extracting #3: cost 4 inf + 1
18.424 * * [simplify]: Extracting #4: cost 0 inf + 325
18.424 * [simplify]: Simplified to (sqrt (sin lambda1))
18.424 * [simplify]: Simplified (2 1 1 2 2 2 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (* (sin lambda2) (sqrt (sin lambda1))) (sqrt (sin lambda1))) (* (cos lambda1) (cos lambda2))))))) R))
18.424 * * * * [progress]: [ 63 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (* (sin lambda2) 1) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))) R))>
18.424 * [simplify]: Simplifying (sin lambda1)
18.424 * * [simplify]: iters left: 1 (2 enodes)
18.424 * * [simplify]: Extracting #0: cost 1 inf + 0
18.424 * * [simplify]: Extracting #1: cost 3 inf + 0
18.424 * * [simplify]: Extracting #2: cost 2 inf + 1
18.424 * * [simplify]: Extracting #3: cost 0 inf + 123
18.425 * [simplify]: Simplified to (sin lambda1)
18.425 * [simplify]: Simplified (2 1 1 2 2 2 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (* (sin lambda2) 1) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))) R))
18.425 * * * * [progress]: [ 64 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (* (cbrt (sin lambda2)) (cbrt (sin lambda2))) (* (cbrt (sin lambda2)) (sin lambda1))) (* (cos lambda1) (cos lambda2))))))) R))>
18.425 * [simplify]: Simplifying (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))
18.425 * * [simplify]: iters left: 4 (4 enodes)
18.426 * * [simplify]: iters left: 3 (12 enodes)
18.427 * * [simplify]: Extracting #0: cost 1 inf + 0
18.427 * * [simplify]: Extracting #1: cost 3 inf + 0
18.427 * * [simplify]: Extracting #2: cost 5 inf + 0
18.427 * * [simplify]: Extracting #3: cost 7 inf + 0
18.427 * * [simplify]: Extracting #4: cost 6 inf + 1
18.427 * * [simplify]: Extracting #5: cost 0 inf + 767
18.427 * [simplify]: Simplified to (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))
18.427 * [simplify]: Simplified (2 1 1 2 2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (* (cbrt (sin lambda2)) (cbrt (sin lambda2))) (* (cbrt (sin lambda2)) (sin lambda1))) (* (cos lambda1) (cos lambda2))))))) R))
18.428 * * * * [progress]: [ 65 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sqrt (sin lambda2)) (* (sqrt (sin lambda2)) (sin lambda1))) (* (cos lambda1) (cos lambda2))))))) R))>
18.428 * [simplify]: Simplifying (sqrt (sin lambda2))
18.428 * * [simplify]: iters left: 2 (3 enodes)
18.428 * * [simplify]: iters left: 1 (9 enodes)
18.429 * * [simplify]: Extracting #0: cost 1 inf + 0
18.429 * * [simplify]: Extracting #1: cost 3 inf + 0
18.429 * * [simplify]: Extracting #2: cost 5 inf + 0
18.429 * * [simplify]: Extracting #3: cost 4 inf + 1
18.429 * * [simplify]: Extracting #4: cost 0 inf + 325
18.430 * [simplify]: Simplified to (sqrt (sin lambda2))
18.430 * [simplify]: Simplified (2 1 1 2 2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sqrt (sin lambda2)) (* (sqrt (sin lambda2)) (sin lambda1))) (* (cos lambda1) (cos lambda2))))))) R))
18.430 * * * * [progress]: [ 66 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* 1 (* (sin lambda2) (sin lambda1))) (* (cos lambda1) (cos lambda2))))))) R))>
18.430 * * * * [progress]: [ 67 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (posit16->real (real->posit16 (* (sin lambda2) (sin lambda1)))) (* (cos lambda1) (cos lambda2))))))) R))>
18.430 * * * * [progress]: [ 68 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))) R))>
18.430 * * * * [progress]: [ 69 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R))>
18.430 * [simplify]: Simplifying (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))
18.430 * * [simplify]: iters left: 6 (22 enodes)
18.434 * * [simplify]: iters left: 5 (84 enodes)
18.450 * * [simplify]: iters left: 4 (141 enodes)
18.495 * * [simplify]: iters left: 3 (241 enodes)
18.544 * * [simplify]: iters left: 2 (280 enodes)
18.583 * * [simplify]: Extracting #0: cost 1 inf + 0
18.584 * * [simplify]: Extracting #1: cost 3 inf + 0
18.584 * * [simplify]: Extracting #2: cost 10 inf + 0
18.584 * * [simplify]: Extracting #3: cost 46 inf + 0
18.584 * * [simplify]: Extracting #4: cost 80 inf + 0
18.584 * * [simplify]: Extracting #5: cost 58 inf + 2112
18.586 * * [simplify]: Extracting #6: cost 20 inf + 10221
18.589 * * [simplify]: Extracting #7: cost 2 inf + 18300
18.594 * * [simplify]: Extracting #8: cost 0 inf + 19888
18.600 * * [simplify]: Extracting #9: cost 0 inf + 19728
18.607 * [simplify]: Simplified to (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1)))))
18.607 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))))) R))
18.607 * * * * [progress]: [ 70 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R))>
18.607 * [simplify]: Simplifying (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))
18.608 * * [simplify]: iters left: 6 (22 enodes)
18.617 * * [simplify]: iters left: 5 (84 enodes)
18.641 * * [simplify]: iters left: 4 (141 enodes)
18.691 * * [simplify]: iters left: 3 (241 enodes)
18.733 * * [simplify]: iters left: 2 (280 enodes)
18.777 * * [simplify]: Extracting #0: cost 1 inf + 0
18.777 * * [simplify]: Extracting #1: cost 3 inf + 0
18.777 * * [simplify]: Extracting #2: cost 10 inf + 0
18.777 * * [simplify]: Extracting #3: cost 46 inf + 0
18.777 * * [simplify]: Extracting #4: cost 80 inf + 0
18.778 * * [simplify]: Extracting #5: cost 58 inf + 2112
18.781 * * [simplify]: Extracting #6: cost 20 inf + 10221
18.787 * * [simplify]: Extracting #7: cost 2 inf + 18300
18.795 * * [simplify]: Extracting #8: cost 0 inf + 19888
18.801 * * [simplify]: Extracting #9: cost 0 inf + 19728
18.808 * [simplify]: Simplified to (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1)))))
18.808 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))))) R))
18.808 * * * * [progress]: [ 71 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) R))>
18.808 * [simplify]: Simplifying (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
18.808 * * [simplify]: iters left: 6 (22 enodes)
18.818 * * [simplify]: iters left: 5 (84 enodes)
18.842 * * [simplify]: iters left: 4 (141 enodes)
18.866 * * [simplify]: iters left: 3 (241 enodes)
18.913 * * [simplify]: iters left: 2 (280 enodes)
18.967 * * [simplify]: Extracting #0: cost 1 inf + 0
18.967 * * [simplify]: Extracting #1: cost 3 inf + 0
18.967 * * [simplify]: Extracting #2: cost 10 inf + 0
18.967 * * [simplify]: Extracting #3: cost 46 inf + 0
18.968 * * [simplify]: Extracting #4: cost 80 inf + 0
18.969 * * [simplify]: Extracting #5: cost 63 inf + 1504
18.971 * * [simplify]: Extracting #6: cost 22 inf + 9796
18.977 * * [simplify]: Extracting #7: cost 5 inf + 17031
18.984 * * [simplify]: Extracting #8: cost 0 inf + 19888
18.990 * * [simplify]: Extracting #9: cost 0 inf + 19728
18.997 * [simplify]: Simplified to (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1)))))
18.997 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))) R))
18.998 * * * * [progress]: [ 72 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R))>
18.998 * [simplify]: Simplifying (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R)
18.998 * * [simplify]: iters left: 6 (24 enodes)
19.009 * * [simplify]: iters left: 5 (91 enodes)
19.036 * * [simplify]: iters left: 4 (148 enodes)
19.088 * * [simplify]: iters left: 3 (248 enodes)
19.168 * * [simplify]: iters left: 2 (292 enodes)
19.208 * * [simplify]: Extracting #0: cost 1 inf + 0
19.208 * * [simplify]: Extracting #1: cost 4 inf + 0
19.208 * * [simplify]: Extracting #2: cost 5 inf + 1
19.208 * * [simplify]: Extracting #3: cost 12 inf + 1
19.208 * * [simplify]: Extracting #4: cost 48 inf + 1
19.209 * * [simplify]: Extracting #5: cost 82 inf + 1
19.209 * * [simplify]: Extracting #6: cost 61 inf + 2052
19.211 * * [simplify]: Extracting #7: cost 23 inf + 9919
19.214 * * [simplify]: Extracting #8: cost 4 inf + 18021
19.217 * * [simplify]: Extracting #9: cost 1 inf + 20624
19.220 * * [simplify]: Extracting #10: cost 0 inf + 21519
19.224 * [simplify]: Simplified to (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))))) R)
19.224 * [simplify]: Simplified (2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))))) R))
19.224 * * * * [progress]: [ 73 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R))>
19.224 * [simplify]: Simplifying (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R)
19.224 * * [simplify]: iters left: 6 (24 enodes)
19.229 * * [simplify]: iters left: 5 (91 enodes)
19.245 * * [simplify]: iters left: 4 (148 enodes)
19.298 * * [simplify]: iters left: 3 (248 enodes)
19.350 * * [simplify]: iters left: 2 (292 enodes)
19.392 * * [simplify]: Extracting #0: cost 1 inf + 0
19.393 * * [simplify]: Extracting #1: cost 4 inf + 0
19.393 * * [simplify]: Extracting #2: cost 5 inf + 1
19.393 * * [simplify]: Extracting #3: cost 12 inf + 1
19.393 * * [simplify]: Extracting #4: cost 48 inf + 1
19.393 * * [simplify]: Extracting #5: cost 82 inf + 1
19.394 * * [simplify]: Extracting #6: cost 61 inf + 2052
19.397 * * [simplify]: Extracting #7: cost 23 inf + 9919
19.403 * * [simplify]: Extracting #8: cost 4 inf + 18021
19.410 * * [simplify]: Extracting #9: cost 1 inf + 20624
19.414 * * [simplify]: Extracting #10: cost 0 inf + 21519
19.417 * [simplify]: Simplified to (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))))) R)
19.417 * [simplify]: Simplified (2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))))) R))
19.417 * * * * [progress]: [ 74 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))))>
19.417 * [simplify]: Simplifying (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
19.418 * * [simplify]: iters left: 6 (24 enodes)
19.422 * * [simplify]: iters left: 5 (91 enodes)
19.436 * * [simplify]: iters left: 4 (148 enodes)
19.463 * * [simplify]: iters left: 3 (248 enodes)
19.517 * * [simplify]: iters left: 2 (295 enodes)
19.569 * * [simplify]: Extracting #0: cost 1 inf + 0
19.569 * * [simplify]: Extracting #1: cost 4 inf + 0
19.569 * * [simplify]: Extracting #2: cost 5 inf + 1
19.570 * * [simplify]: Extracting #3: cost 12 inf + 1
19.570 * * [simplify]: Extracting #4: cost 48 inf + 1
19.570 * * [simplify]: Extracting #5: cost 82 inf + 1
19.571 * * [simplify]: Extracting #6: cost 71 inf + 634
19.573 * * [simplify]: Extracting #7: cost 31 inf + 8806
19.579 * * [simplify]: Extracting #8: cost 5 inf + 18631
19.585 * * [simplify]: Extracting #9: cost 1 inf + 20704
19.593 * * [simplify]: Extracting #10: cost 0 inf + 21559
19.600 * * [simplify]: Extracting #11: cost 0 inf + 21519
19.606 * [simplify]: Simplified to (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))
19.607 * [simplify]: Simplified (2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))))
19.607 * * * * [progress]: [ 75 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* phi1 phi2) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))) R))>
19.607 * [simplify]: Simplifying (* phi1 phi2)
19.607 * * [simplify]: iters left: 2 (3 enodes)
19.608 * * [simplify]: iters left: 1 (10 enodes)
19.609 * * [simplify]: Extracting #0: cost 1 inf + 0
19.609 * * [simplify]: Extracting #1: cost 4 inf + 0
19.609 * * [simplify]: Extracting #2: cost 2 inf + 2
19.609 * * [simplify]: Extracting #3: cost 0 inf + 86
19.609 * [simplify]: Simplified to (* phi1 phi2)
19.609 * [simplify]: Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* phi1 phi2) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))) R))
19.609 * * * * [progress]: [ 76 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))) R))>
19.609 * [simplify]: Simplifying (* (sin phi1) (sin phi2))
19.609 * * [simplify]: iters left: 3 (5 enodes)
19.610 * * [simplify]: iters left: 2 (16 enodes)
19.613 * * [simplify]: Extracting #0: cost 1 inf + 0
19.613 * * [simplify]: Extracting #1: cost 4 inf + 0
19.613 * * [simplify]: Extracting #2: cost 8 inf + 0
19.613 * * [simplify]: Extracting #3: cost 4 inf + 124
19.613 * * [simplify]: Extracting #4: cost 0 inf + 570
19.614 * [simplify]: Simplified to (* (sin phi2) (sin phi1))
19.614 * [simplify]: Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))) R))
19.614 * * * * [progress]: [ 77 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))) R))>
19.614 * [simplify]: Simplifying (* (sin phi1) (sin phi2))
19.614 * * [simplify]: iters left: 3 (5 enodes)
19.615 * * [simplify]: iters left: 2 (16 enodes)
19.617 * * [simplify]: Extracting #0: cost 1 inf + 0
19.617 * * [simplify]: Extracting #1: cost 4 inf + 0
19.617 * * [simplify]: Extracting #2: cost 8 inf + 0
19.617 * * [simplify]: Extracting #3: cost 4 inf + 124
19.617 * * [simplify]: Extracting #4: cost 0 inf + 570
19.617 * [simplify]: Simplified to (* (sin phi2) (sin phi1))
19.617 * [simplify]: Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))) R))
19.617 * * * * [progress]: [ 78 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* lambda2 lambda1) (* (cos lambda1) (cos lambda2))))))) R))>
19.617 * [simplify]: Simplifying (* lambda2 lambda1)
19.617 * * [simplify]: iters left: 2 (3 enodes)
19.618 * * [simplify]: iters left: 1 (10 enodes)
19.619 * * [simplify]: Extracting #0: cost 1 inf + 0
19.619 * * [simplify]: Extracting #1: cost 4 inf + 0
19.619 * * [simplify]: Extracting #2: cost 2 inf + 2
19.619 * * [simplify]: Extracting #3: cost 0 inf + 86
19.619 * [simplify]: Simplified to (* lambda2 lambda1)
19.619 * [simplify]: Simplified (2 1 1 2 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* lambda2 lambda1) (* (cos lambda1) (cos lambda2))))))) R))
19.620 * * * * [progress]: [ 79 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))) R))>
19.620 * [simplify]: Simplifying (* (sin lambda2) (sin lambda1))
19.620 * * [simplify]: iters left: 3 (5 enodes)
19.621 * * [simplify]: iters left: 2 (16 enodes)
19.623 * * [simplify]: Extracting #0: cost 1 inf + 0
19.623 * * [simplify]: Extracting #1: cost 4 inf + 0
19.623 * * [simplify]: Extracting #2: cost 8 inf + 0
19.623 * * [simplify]: Extracting #3: cost 4 inf + 124
19.623 * * [simplify]: Extracting #4: cost 0 inf + 570
19.623 * [simplify]: Simplified to (* (sin lambda1) (sin lambda2))
19.623 * [simplify]: Simplified (2 1 1 2 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))) R))
19.623 * * * * [progress]: [ 80 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))) R))>
19.623 * [simplify]: Simplifying (* (sin lambda1) (sin lambda2))
19.623 * * [simplify]: iters left: 3 (5 enodes)
19.624 * * [simplify]: iters left: 2 (16 enodes)
19.626 * * [simplify]: Extracting #0: cost 1 inf + 0
19.626 * * [simplify]: Extracting #1: cost 4 inf + 0
19.626 * * [simplify]: Extracting #2: cost 8 inf + 0
19.626 * * [simplify]: Extracting #3: cost 4 inf + 124
19.626 * * [simplify]: Extracting #4: cost 0 inf + 570
19.626 * [simplify]: Simplified to (* (sin lambda2) (sin lambda1))
19.626 * [simplify]: Simplified (2 1 1 2 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))) R))
19.626 * * * [progress]: adding candidates to table
21.438 * * [progress]: iteration 4 / 4
21.438 * * * [progress]: picking best candidate
21.661 * * * * [pick]: Picked  #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) R))>
21.661 * * * [progress]: localizing error
21.780 * * * [progress]: generating rewritten candidates
21.780 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1)
21.799 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2)
21.803 * * * * [progress]: [ 3 / 4 ] rewriting at (2)
21.861 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1 1)
21.873 * * * [progress]: generating series expansions
21.873 * * * * [progress]: [ 1 / 4 ] generating series at (2 1)
21.874 * [backup-simplify]: Simplify (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) into (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))))
21.874 * [approximate]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))) in (phi1 phi2 lambda2 lambda1) around 0
21.874 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))) in lambda1
21.874 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1
21.874 * [taylor]: Taking taylor expansion of 1/2 in lambda1
21.874 * [backup-simplify]: Simplify 1/2 into 1/2
21.874 * [taylor]: Taking taylor expansion of PI in lambda1
21.874 * [backup-simplify]: Simplify PI into PI
21.874 * [taylor]: Taking taylor expansion of (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in lambda1
21.874 * [backup-simplify]: Simplify (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))
21.874 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))) in lambda2
21.874 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2
21.874 * [taylor]: Taking taylor expansion of 1/2 in lambda2
21.874 * [backup-simplify]: Simplify 1/2 into 1/2
21.874 * [taylor]: Taking taylor expansion of PI in lambda2
21.874 * [backup-simplify]: Simplify PI into PI
21.874 * [taylor]: Taking taylor expansion of (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in lambda2
21.875 * [backup-simplify]: Simplify (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))
21.875 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))) in phi2
21.875 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2
21.875 * [taylor]: Taking taylor expansion of 1/2 in phi2
21.875 * [backup-simplify]: Simplify 1/2 into 1/2
21.875 * [taylor]: Taking taylor expansion of PI in phi2
21.875 * [backup-simplify]: Simplify PI into PI
21.875 * [taylor]: Taking taylor expansion of (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in phi2
21.875 * [backup-simplify]: Simplify (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))
21.875 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))) in phi1
21.875 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1
21.875 * [taylor]: Taking taylor expansion of 1/2 in phi1
21.875 * [backup-simplify]: Simplify 1/2 into 1/2
21.875 * [taylor]: Taking taylor expansion of PI in phi1
21.875 * [backup-simplify]: Simplify PI into PI
21.875 * [taylor]: Taking taylor expansion of (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in phi1
21.875 * [backup-simplify]: Simplify (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))
21.876 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))) in phi1
21.876 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1
21.876 * [taylor]: Taking taylor expansion of 1/2 in phi1
21.876 * [backup-simplify]: Simplify 1/2 into 1/2
21.876 * [taylor]: Taking taylor expansion of PI in phi1
21.876 * [backup-simplify]: Simplify PI into PI
21.876 * [taylor]: Taking taylor expansion of (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in phi1
21.876 * [backup-simplify]: Simplify (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))
21.876 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI)
21.877 * [backup-simplify]: Simplify (- (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))) into (- (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))))
21.877 * [backup-simplify]: Simplify (+ (* 1/2 PI) (- (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))))) into (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))))
21.877 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))) in phi2
21.877 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2
21.877 * [taylor]: Taking taylor expansion of 1/2 in phi2
21.878 * [backup-simplify]: Simplify 1/2 into 1/2
21.878 * [taylor]: Taking taylor expansion of PI in phi2
21.878 * [backup-simplify]: Simplify PI into PI
21.878 * [taylor]: Taking taylor expansion of (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in phi2
21.880 * [backup-simplify]: Simplify (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))
21.880 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI)
21.881 * [backup-simplify]: Simplify (- (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))) into (- (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))))
21.881 * [backup-simplify]: Simplify (+ (* 1/2 PI) (- (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))))) into (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))))
21.881 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))) in lambda2
21.881 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2
21.881 * [taylor]: Taking taylor expansion of 1/2 in lambda2
21.881 * [backup-simplify]: Simplify 1/2 into 1/2
21.881 * [taylor]: Taking taylor expansion of PI in lambda2
21.881 * [backup-simplify]: Simplify PI into PI
21.881 * [taylor]: Taking taylor expansion of (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in lambda2
21.882 * [backup-simplify]: Simplify (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))
21.882 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI)
21.882 * [backup-simplify]: Simplify (- (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))) into (- (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))))
21.883 * [backup-simplify]: Simplify (+ (* 1/2 PI) (- (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))))) into (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))))
21.883 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))) in lambda1
21.883 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1
21.883 * [taylor]: Taking taylor expansion of 1/2 in lambda1
21.883 * [backup-simplify]: Simplify 1/2 into 1/2
21.883 * [taylor]: Taking taylor expansion of PI in lambda1
21.884 * [backup-simplify]: Simplify PI into PI
21.884 * [taylor]: Taking taylor expansion of (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in lambda1
21.884 * [backup-simplify]: Simplify (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))
21.885 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI)
21.885 * [backup-simplify]: Simplify (- (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))) into (- (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))))
21.886 * [backup-simplify]: Simplify (+ (* 1/2 PI) (- (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))))) into (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))))
21.887 * [backup-simplify]: Simplify (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))) into (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))))
21.888 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0
21.888 * [backup-simplify]: Simplify (- 0) into 0
21.889 * [backup-simplify]: Simplify (+ 0 0) into 0
21.889 * [taylor]: Taking taylor expansion of 0 in phi2
21.889 * [backup-simplify]: Simplify 0 into 0
21.889 * [taylor]: Taking taylor expansion of 0 in lambda2
21.889 * [backup-simplify]: Simplify 0 into 0
21.889 * [taylor]: Taking taylor expansion of 0 in lambda1
21.889 * [backup-simplify]: Simplify 0 into 0
21.889 * [backup-simplify]: Simplify 0 into 0
21.890 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0
21.890 * [backup-simplify]: Simplify (- 0) into 0
21.891 * [backup-simplify]: Simplify (+ 0 0) into 0
21.891 * [taylor]: Taking taylor expansion of 0 in lambda2
21.891 * [backup-simplify]: Simplify 0 into 0
21.891 * [taylor]: Taking taylor expansion of 0 in lambda1
21.891 * [backup-simplify]: Simplify 0 into 0
21.891 * [backup-simplify]: Simplify 0 into 0
21.891 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0
21.892 * [backup-simplify]: Simplify (- 0) into 0
21.892 * [backup-simplify]: Simplify (+ 0 0) into 0
21.892 * [taylor]: Taking taylor expansion of 0 in lambda1
21.892 * [backup-simplify]: Simplify 0 into 0
21.892 * [backup-simplify]: Simplify 0 into 0
21.893 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0
21.893 * [backup-simplify]: Simplify (- 0) into 0
21.894 * [backup-simplify]: Simplify (+ 0 0) into 0
21.894 * [backup-simplify]: Simplify 0 into 0
21.895 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0
21.895 * [backup-simplify]: Simplify (- 0) into 0
21.896 * [backup-simplify]: Simplify (+ 0 0) into 0
21.896 * [taylor]: Taking taylor expansion of 0 in phi2
21.896 * [backup-simplify]: Simplify 0 into 0
21.896 * [taylor]: Taking taylor expansion of 0 in lambda2
21.896 * [backup-simplify]: Simplify 0 into 0
21.896 * [taylor]: Taking taylor expansion of 0 in lambda1
21.896 * [backup-simplify]: Simplify 0 into 0
21.896 * [backup-simplify]: Simplify 0 into 0
21.896 * [taylor]: Taking taylor expansion of 0 in lambda2
21.896 * [backup-simplify]: Simplify 0 into 0
21.896 * [taylor]: Taking taylor expansion of 0 in lambda1
21.896 * [backup-simplify]: Simplify 0 into 0
21.896 * [backup-simplify]: Simplify 0 into 0
21.897 * [backup-simplify]: Simplify (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))) into (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))))
21.898 * [backup-simplify]: Simplify (- (/ PI 2) (asin (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))))))))) into (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))))
21.898 * [approximate]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) in (phi1 phi2 lambda2 lambda1) around 0
21.898 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) in lambda1
21.898 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1
21.898 * [taylor]: Taking taylor expansion of 1/2 in lambda1
21.898 * [backup-simplify]: Simplify 1/2 into 1/2
21.898 * [taylor]: Taking taylor expansion of PI in lambda1
21.899 * [backup-simplify]: Simplify PI into PI
21.899 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1
21.899 * [backup-simplify]: Simplify (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
21.899 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) in lambda2
21.899 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2
21.899 * [taylor]: Taking taylor expansion of 1/2 in lambda2
21.899 * [backup-simplify]: Simplify 1/2 into 1/2
21.899 * [taylor]: Taking taylor expansion of PI in lambda2
21.899 * [backup-simplify]: Simplify PI into PI
21.899 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2
21.900 * [backup-simplify]: Simplify (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
21.900 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) in phi2
21.900 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2
21.900 * [taylor]: Taking taylor expansion of 1/2 in phi2
21.900 * [backup-simplify]: Simplify 1/2 into 1/2
21.900 * [taylor]: Taking taylor expansion of PI in phi2
21.900 * [backup-simplify]: Simplify PI into PI
21.900 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2
21.901 * [backup-simplify]: Simplify (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
21.901 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) in phi1
21.901 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1
21.901 * [taylor]: Taking taylor expansion of 1/2 in phi1
21.901 * [backup-simplify]: Simplify 1/2 into 1/2
21.901 * [taylor]: Taking taylor expansion of PI in phi1
21.901 * [backup-simplify]: Simplify PI into PI
21.901 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1
21.902 * [backup-simplify]: Simplify (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
21.902 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) in phi1
21.902 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1
21.902 * [taylor]: Taking taylor expansion of 1/2 in phi1
21.902 * [backup-simplify]: Simplify 1/2 into 1/2
21.902 * [taylor]: Taking taylor expansion of PI in phi1
21.902 * [backup-simplify]: Simplify PI into PI
21.902 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1
21.903 * [backup-simplify]: Simplify (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
21.904 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI)
21.905 * [backup-simplify]: Simplify (- (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) into (- (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))))
21.906 * [backup-simplify]: Simplify (+ (* 1/2 PI) (- (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))))) into (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))))
21.906 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) in phi2
21.906 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2
21.906 * [taylor]: Taking taylor expansion of 1/2 in phi2
21.906 * [backup-simplify]: Simplify 1/2 into 1/2
21.906 * [taylor]: Taking taylor expansion of PI in phi2
21.906 * [backup-simplify]: Simplify PI into PI
21.906 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2
21.907 * [backup-simplify]: Simplify (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
21.907 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI)
21.907 * [backup-simplify]: Simplify (- (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) into (- (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))))
21.908 * [backup-simplify]: Simplify (+ (* 1/2 PI) (- (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))))) into (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))))
21.908 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) in lambda2
21.908 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2
21.908 * [taylor]: Taking taylor expansion of 1/2 in lambda2
21.908 * [backup-simplify]: Simplify 1/2 into 1/2
21.908 * [taylor]: Taking taylor expansion of PI in lambda2
21.908 * [backup-simplify]: Simplify PI into PI
21.908 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2
21.909 * [backup-simplify]: Simplify (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
21.909 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI)
21.909 * [backup-simplify]: Simplify (- (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) into (- (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))))
21.910 * [backup-simplify]: Simplify (+ (* 1/2 PI) (- (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))))) into (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))))
21.910 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) in lambda1
21.910 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1
21.910 * [taylor]: Taking taylor expansion of 1/2 in lambda1
21.910 * [backup-simplify]: Simplify 1/2 into 1/2
21.910 * [taylor]: Taking taylor expansion of PI in lambda1
21.910 * [backup-simplify]: Simplify PI into PI
21.910 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1
21.911 * [backup-simplify]: Simplify (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
21.911 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI)
21.911 * [backup-simplify]: Simplify (- (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) into (- (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))))
21.912 * [backup-simplify]: Simplify (+ (* 1/2 PI) (- (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))))) into (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))))
21.913 * [backup-simplify]: Simplify (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) into (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))))
21.913 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0
21.914 * [backup-simplify]: Simplify (- 0) into 0
21.914 * [backup-simplify]: Simplify (+ 0 0) into 0
21.914 * [taylor]: Taking taylor expansion of 0 in phi2
21.914 * [backup-simplify]: Simplify 0 into 0
21.914 * [taylor]: Taking taylor expansion of 0 in lambda2
21.914 * [backup-simplify]: Simplify 0 into 0
21.914 * [taylor]: Taking taylor expansion of 0 in lambda1
21.914 * [backup-simplify]: Simplify 0 into 0
21.914 * [backup-simplify]: Simplify 0 into 0
21.915 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0
21.915 * [backup-simplify]: Simplify (- 0) into 0
21.915 * [backup-simplify]: Simplify (+ 0 0) into 0
21.915 * [taylor]: Taking taylor expansion of 0 in lambda2
21.915 * [backup-simplify]: Simplify 0 into 0
21.915 * [taylor]: Taking taylor expansion of 0 in lambda1
21.915 * [backup-simplify]: Simplify 0 into 0
21.915 * [backup-simplify]: Simplify 0 into 0
21.916 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0
21.916 * [backup-simplify]: Simplify (- 0) into 0
21.916 * [backup-simplify]: Simplify (+ 0 0) into 0
21.916 * [taylor]: Taking taylor expansion of 0 in lambda1
21.916 * [backup-simplify]: Simplify 0 into 0
21.916 * [backup-simplify]: Simplify 0 into 0
21.917 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0
21.917 * [backup-simplify]: Simplify (- 0) into 0
21.917 * [backup-simplify]: Simplify (+ 0 0) into 0
21.917 * [backup-simplify]: Simplify 0 into 0
21.918 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0
21.918 * [backup-simplify]: Simplify (- 0) into 0
21.918 * [backup-simplify]: Simplify (+ 0 0) into 0
21.918 * [taylor]: Taking taylor expansion of 0 in phi2
21.918 * [backup-simplify]: Simplify 0 into 0
21.918 * [taylor]: Taking taylor expansion of 0 in lambda2
21.918 * [backup-simplify]: Simplify 0 into 0
21.918 * [taylor]: Taking taylor expansion of 0 in lambda1
21.918 * [backup-simplify]: Simplify 0 into 0
21.918 * [backup-simplify]: Simplify 0 into 0
21.918 * [taylor]: Taking taylor expansion of 0 in lambda2
21.918 * [backup-simplify]: Simplify 0 into 0
21.918 * [taylor]: Taking taylor expansion of 0 in lambda1
21.918 * [backup-simplify]: Simplify 0 into 0
21.918 * [backup-simplify]: Simplify 0 into 0
21.919 * [backup-simplify]: Simplify (- (* 1/2 PI) (asin (+ (* (cos (/ 1 (/ 1 phi2))) (* (sin (/ 1 (/ 1 lambda2))) (* (sin (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1)))))) (+ (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1)))))))))) into (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))))
21.920 * [backup-simplify]: Simplify (- (/ PI 2) (asin (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (cos (/ 1 (- phi1))) (* (cos (/ 1 (- phi2))) (+ (* (sin (/ 1 (- lambda2))) (sin (/ 1 (- lambda1)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))))))))) into (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))))
21.920 * [approximate]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) in (phi1 phi2 lambda2 lambda1) around 0
21.920 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) in lambda1
21.920 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1
21.920 * [taylor]: Taking taylor expansion of 1/2 in lambda1
21.920 * [backup-simplify]: Simplify 1/2 into 1/2
21.920 * [taylor]: Taking taylor expansion of PI in lambda1
21.920 * [backup-simplify]: Simplify PI into PI
21.920 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1
21.921 * [backup-simplify]: Simplify (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
21.921 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) in lambda2
21.921 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2
21.921 * [taylor]: Taking taylor expansion of 1/2 in lambda2
21.921 * [backup-simplify]: Simplify 1/2 into 1/2
21.921 * [taylor]: Taking taylor expansion of PI in lambda2
21.921 * [backup-simplify]: Simplify PI into PI
21.921 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda2
21.921 * [backup-simplify]: Simplify (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
21.921 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) in phi2
21.921 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2
21.921 * [taylor]: Taking taylor expansion of 1/2 in phi2
21.921 * [backup-simplify]: Simplify 1/2 into 1/2
21.921 * [taylor]: Taking taylor expansion of PI in phi2
21.921 * [backup-simplify]: Simplify PI into PI
21.921 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi2
21.922 * [backup-simplify]: Simplify (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
21.922 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) in phi1
21.922 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1
21.922 * [taylor]: Taking taylor expansion of 1/2 in phi1
21.922 * [backup-simplify]: Simplify 1/2 into 1/2
21.922 * [taylor]: Taking taylor expansion of PI in phi1
21.922 * [backup-simplify]: Simplify PI into PI
21.922 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1
21.922 * [backup-simplify]: Simplify (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
21.922 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) in phi1
21.922 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1
21.922 * [taylor]: Taking taylor expansion of 1/2 in phi1
21.922 * [backup-simplify]: Simplify 1/2 into 1/2
21.922 * [taylor]: Taking taylor expansion of PI in phi1
21.922 * [backup-simplify]: Simplify PI into PI
21.922 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1
21.923 * [backup-simplify]: Simplify (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
21.923 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI)
21.924 * [backup-simplify]: Simplify (- (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) into (- (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))))
21.924 * [backup-simplify]: Simplify (+ (* 1/2 PI) (- (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))))) into (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))))
21.925 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) in phi2
21.925 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2
21.925 * [taylor]: Taking taylor expansion of 1/2 in phi2
21.925 * [backup-simplify]: Simplify 1/2 into 1/2
21.925 * [taylor]: Taking taylor expansion of PI in phi2
21.925 * [backup-simplify]: Simplify PI into PI
21.925 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in phi2
21.925 * [backup-simplify]: Simplify (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))
21.925 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI)
21.926 * [backup-simplify]: Simplify (- (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) into (- (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))))
21.927 * [backup-simplify]: Simplify (+ (* 1/2 PI) (- (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))))) into (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))))
21.927 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) in lambda2
21.927 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2
21.927 * [taylor]: Taking taylor expansion of 1/2 in lambda2
21.927 * [backup-simplify]: Simplify 1/2 into 1/2
21.927 * [taylor]: Taking taylor expansion of PI in lambda2
21.928 * [backup-simplify]: Simplify PI into PI
21.928 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda2
21.928 * [backup-simplify]: Simplify (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
21.929 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI)
21.930 * [backup-simplify]: Simplify (- (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) into (- (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))))
21.931 * [backup-simplify]: Simplify (+ (* 1/2 PI) (- (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))))) into (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))))
21.931 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) in lambda1
21.931 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1
21.931 * [taylor]: Taking taylor expansion of 1/2 in lambda1
21.931 * [backup-simplify]: Simplify 1/2 into 1/2
21.931 * [taylor]: Taking taylor expansion of PI in lambda1
21.931 * [backup-simplify]: Simplify PI into PI
21.931 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in lambda1
21.932 * [backup-simplify]: Simplify (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))
21.933 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI)
21.934 * [backup-simplify]: Simplify (- (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) into (- (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))))
21.935 * [backup-simplify]: Simplify (+ (* 1/2 PI) (- (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))))) into (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))))
21.935 * [backup-simplify]: Simplify (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) into (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))))
21.936 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0
21.936 * [backup-simplify]: Simplify (- 0) into 0
21.936 * [backup-simplify]: Simplify (+ 0 0) into 0
21.936 * [taylor]: Taking taylor expansion of 0 in phi2
21.936 * [backup-simplify]: Simplify 0 into 0
21.936 * [taylor]: Taking taylor expansion of 0 in lambda2
21.936 * [backup-simplify]: Simplify 0 into 0
21.937 * [taylor]: Taking taylor expansion of 0 in lambda1
21.937 * [backup-simplify]: Simplify 0 into 0
21.937 * [backup-simplify]: Simplify 0 into 0
21.937 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0
21.937 * [backup-simplify]: Simplify (- 0) into 0
21.937 * [backup-simplify]: Simplify (+ 0 0) into 0
21.937 * [taylor]: Taking taylor expansion of 0 in lambda2
21.938 * [backup-simplify]: Simplify 0 into 0
21.938 * [taylor]: Taking taylor expansion of 0 in lambda1
21.938 * [backup-simplify]: Simplify 0 into 0
21.938 * [backup-simplify]: Simplify 0 into 0
21.938 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0
21.938 * [backup-simplify]: Simplify (- 0) into 0
21.939 * [backup-simplify]: Simplify (+ 0 0) into 0
21.939 * [taylor]: Taking taylor expansion of 0 in lambda1
21.939 * [backup-simplify]: Simplify 0 into 0
21.939 * [backup-simplify]: Simplify 0 into 0
21.939 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0
21.939 * [backup-simplify]: Simplify (- 0) into 0
21.940 * [backup-simplify]: Simplify (+ 0 0) into 0
21.940 * [backup-simplify]: Simplify 0 into 0
21.940 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0
21.940 * [backup-simplify]: Simplify (- 0) into 0
21.941 * [backup-simplify]: Simplify (+ 0 0) into 0
21.941 * [taylor]: Taking taylor expansion of 0 in phi2
21.941 * [backup-simplify]: Simplify 0 into 0
21.941 * [taylor]: Taking taylor expansion of 0 in lambda2
21.941 * [backup-simplify]: Simplify 0 into 0
21.941 * [taylor]: Taking taylor expansion of 0 in lambda1
21.941 * [backup-simplify]: Simplify 0 into 0
21.941 * [backup-simplify]: Simplify 0 into 0
21.941 * [taylor]: Taking taylor expansion of 0 in lambda2
21.941 * [backup-simplify]: Simplify 0 into 0
21.941 * [taylor]: Taking taylor expansion of 0 in lambda1
21.941 * [backup-simplify]: Simplify 0 into 0
21.941 * [backup-simplify]: Simplify 0 into 0
21.942 * [backup-simplify]: Simplify (- (* 1/2 PI) (asin (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (sin (/ -1 (/ 1 (- lambda2))))))) (+ (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- lambda2)))) (cos (/ -1 (/ 1 (- phi2))))))))))) into (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
21.942 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2)
21.942 * [backup-simplify]: Simplify (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))
21.942 * [approximate]: Taking taylor expansion of (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in (phi1 phi2 lambda2 lambda1) around 0
21.942 * [taylor]: Taking taylor expansion of (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in lambda1
21.942 * [backup-simplify]: Simplify (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))
21.942 * [taylor]: Taking taylor expansion of (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in lambda2
21.943 * [backup-simplify]: Simplify (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))
21.943 * [taylor]: Taking taylor expansion of (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in phi2
21.943 * [backup-simplify]: Simplify (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))
21.943 * [taylor]: Taking taylor expansion of (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in phi1
21.943 * [backup-simplify]: Simplify (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))
21.943 * [taylor]: Taking taylor expansion of (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in phi1
21.944 * [backup-simplify]: Simplify (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))
21.944 * [taylor]: Taking taylor expansion of (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in phi2
21.944 * [backup-simplify]: Simplify (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))
21.944 * [taylor]: Taking taylor expansion of (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in lambda2
21.944 * [backup-simplify]: Simplify (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))
21.944 * [taylor]: Taking taylor expansion of (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in lambda1
21.945 * [backup-simplify]: Simplify (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))
21.945 * [backup-simplify]: Simplify (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))
21.945 * [taylor]: Taking taylor expansion of 0 in phi2
21.945 * [backup-simplify]: Simplify 0 into 0
21.945 * [taylor]: Taking taylor expansion of 0 in lambda2
21.945 * [backup-simplify]: Simplify 0 into 0
21.945 * [taylor]: Taking taylor expansion of 0 in lambda1
21.945 * [backup-simplify]: Simplify 0 into 0
21.945 * [backup-simplify]: Simplify 0 into 0
21.945 * [taylor]: Taking taylor expansion of 0 in lambda2
21.945 * [backup-simplify]: Simplify 0 into 0
21.945 * [taylor]: Taking taylor expansion of 0 in lambda1
21.945 * [backup-simplify]: Simplify 0 into 0
21.945 * [backup-simplify]: Simplify 0 into 0
21.945 * [taylor]: Taking taylor expansion of 0 in lambda1
21.945 * [backup-simplify]: Simplify 0 into 0
21.945 * [backup-simplify]: Simplify 0 into 0
21.945 * [backup-simplify]: Simplify 0 into 0
21.945 * [taylor]: Taking taylor expansion of 0 in phi2
21.945 * [backup-simplify]: Simplify 0 into 0
21.945 * [taylor]: Taking taylor expansion of 0 in lambda2
21.945 * [backup-simplify]: Simplify 0 into 0
21.945 * [taylor]: Taking taylor expansion of 0 in lambda1
21.945 * [backup-simplify]: Simplify 0 into 0
21.945 * [backup-simplify]: Simplify 0 into 0
21.945 * [taylor]: Taking taylor expansion of 0 in lambda2
21.945 * [backup-simplify]: Simplify 0 into 0
21.945 * [taylor]: Taking taylor expansion of 0 in lambda1
21.945 * [backup-simplify]: Simplify 0 into 0
21.945 * [backup-simplify]: Simplify 0 into 0
21.946 * [backup-simplify]: Simplify (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))
21.946 * [backup-simplify]: Simplify (asin (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2)))))))) into (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
21.946 * [approximate]: Taking taylor expansion of (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in (phi1 phi2 lambda2 lambda1) around 0
21.946 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1
21.947 * [backup-simplify]: Simplify (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
21.947 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2
21.947 * [backup-simplify]: Simplify (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
21.947 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2
21.948 * [backup-simplify]: Simplify (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
21.948 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1
21.948 * [backup-simplify]: Simplify (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
21.948 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1
21.948 * [backup-simplify]: Simplify (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
21.948 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2
21.949 * [backup-simplify]: Simplify (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
21.949 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2
21.949 * [backup-simplify]: Simplify (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
21.949 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1
21.950 * [backup-simplify]: Simplify (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
21.950 * [backup-simplify]: Simplify (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
21.950 * [taylor]: Taking taylor expansion of 0 in phi2
21.950 * [backup-simplify]: Simplify 0 into 0
21.950 * [taylor]: Taking taylor expansion of 0 in lambda2
21.950 * [backup-simplify]: Simplify 0 into 0
21.950 * [taylor]: Taking taylor expansion of 0 in lambda1
21.950 * [backup-simplify]: Simplify 0 into 0
21.950 * [backup-simplify]: Simplify 0 into 0
21.950 * [taylor]: Taking taylor expansion of 0 in lambda2
21.950 * [backup-simplify]: Simplify 0 into 0
21.950 * [taylor]: Taking taylor expansion of 0 in lambda1
21.950 * [backup-simplify]: Simplify 0 into 0
21.951 * [backup-simplify]: Simplify 0 into 0
21.951 * [taylor]: Taking taylor expansion of 0 in lambda1
21.951 * [backup-simplify]: Simplify 0 into 0
21.951 * [backup-simplify]: Simplify 0 into 0
21.951 * [backup-simplify]: Simplify 0 into 0
21.951 * [taylor]: Taking taylor expansion of 0 in phi2
21.951 * [backup-simplify]: Simplify 0 into 0
21.951 * [taylor]: Taking taylor expansion of 0 in lambda2
21.951 * [backup-simplify]: Simplify 0 into 0
21.951 * [taylor]: Taking taylor expansion of 0 in lambda1
21.951 * [backup-simplify]: Simplify 0 into 0
21.951 * [backup-simplify]: Simplify 0 into 0
21.951 * [taylor]: Taking taylor expansion of 0 in lambda2
21.951 * [backup-simplify]: Simplify 0 into 0
21.951 * [taylor]: Taking taylor expansion of 0 in lambda1
21.951 * [backup-simplify]: Simplify 0 into 0
21.951 * [backup-simplify]: Simplify 0 into 0
21.951 * [backup-simplify]: Simplify (asin (+ (* (cos (/ 1 (/ 1 phi2))) (* (sin (/ 1 (/ 1 lambda2))) (* (sin (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1)))))) (+ (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1))))))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))
21.952 * [backup-simplify]: Simplify (asin (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (cos (/ 1 (- phi1))) (* (cos (/ 1 (- phi2))) (+ (* (sin (/ 1 (- lambda2))) (sin (/ 1 (- lambda1)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2))))))))) into (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))
21.952 * [approximate]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in (phi1 phi2 lambda2 lambda1) around 0
21.952 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1
21.952 * [backup-simplify]: Simplify (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
21.952 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda2
21.953 * [backup-simplify]: Simplify (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
21.953 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi2
21.953 * [backup-simplify]: Simplify (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
21.953 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1
21.954 * [backup-simplify]: Simplify (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
21.954 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1
21.954 * [backup-simplify]: Simplify (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
21.954 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in phi2
21.954 * [backup-simplify]: Simplify (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))
21.955 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda2
21.955 * [backup-simplify]: Simplify (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
21.955 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in lambda1
21.955 * [backup-simplify]: Simplify (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))
21.956 * [backup-simplify]: Simplify (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
21.956 * [taylor]: Taking taylor expansion of 0 in phi2
21.956 * [backup-simplify]: Simplify 0 into 0
21.956 * [taylor]: Taking taylor expansion of 0 in lambda2
21.956 * [backup-simplify]: Simplify 0 into 0
21.956 * [taylor]: Taking taylor expansion of 0 in lambda1
21.956 * [backup-simplify]: Simplify 0 into 0
21.956 * [backup-simplify]: Simplify 0 into 0
21.956 * [taylor]: Taking taylor expansion of 0 in lambda2
21.956 * [backup-simplify]: Simplify 0 into 0
21.956 * [taylor]: Taking taylor expansion of 0 in lambda1
21.956 * [backup-simplify]: Simplify 0 into 0
21.956 * [backup-simplify]: Simplify 0 into 0
21.956 * [taylor]: Taking taylor expansion of 0 in lambda1
21.956 * [backup-simplify]: Simplify 0 into 0
21.956 * [backup-simplify]: Simplify 0 into 0
21.956 * [backup-simplify]: Simplify 0 into 0
21.956 * [taylor]: Taking taylor expansion of 0 in phi2
21.956 * [backup-simplify]: Simplify 0 into 0
21.956 * [taylor]: Taking taylor expansion of 0 in lambda2
21.956 * [backup-simplify]: Simplify 0 into 0
21.956 * [taylor]: Taking taylor expansion of 0 in lambda1
21.956 * [backup-simplify]: Simplify 0 into 0
21.956 * [backup-simplify]: Simplify 0 into 0
21.956 * [taylor]: Taking taylor expansion of 0 in lambda2
21.956 * [backup-simplify]: Simplify 0 into 0
21.956 * [taylor]: Taking taylor expansion of 0 in lambda1
21.956 * [backup-simplify]: Simplify 0 into 0
21.956 * [backup-simplify]: Simplify 0 into 0
21.957 * [backup-simplify]: Simplify (asin (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (sin (/ -1 (/ 1 (- lambda2))))))) (+ (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- lambda2)))) (cos (/ -1 (/ 1 (- phi2)))))))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
21.957 * * * * [progress]: [ 3 / 4 ] generating series at (2)
21.958 * [backup-simplify]: Simplify (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) R) into (* R (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))))
21.958 * [approximate]: Taking taylor expansion of (* R (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))))) in (phi1 phi2 lambda2 lambda1 R) around 0
21.958 * [taylor]: Taking taylor expansion of (* R (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))))) in R
21.958 * [taylor]: Taking taylor expansion of R in R
21.958 * [backup-simplify]: Simplify 0 into 0
21.958 * [backup-simplify]: Simplify 1 into 1
21.958 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))) in R
21.958 * [taylor]: Taking taylor expansion of (* 1/2 PI) in R
21.958 * [taylor]: Taking taylor expansion of 1/2 in R
21.958 * [backup-simplify]: Simplify 1/2 into 1/2
21.958 * [taylor]: Taking taylor expansion of PI in R
21.958 * [backup-simplify]: Simplify PI into PI
21.958 * [taylor]: Taking taylor expansion of (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in R
21.958 * [backup-simplify]: Simplify (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))
21.958 * [taylor]: Taking taylor expansion of (* R (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))))) in lambda1
21.958 * [taylor]: Taking taylor expansion of R in lambda1
21.958 * [backup-simplify]: Simplify R into R
21.958 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))) in lambda1
21.958 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1
21.958 * [taylor]: Taking taylor expansion of 1/2 in lambda1
21.958 * [backup-simplify]: Simplify 1/2 into 1/2
21.958 * [taylor]: Taking taylor expansion of PI in lambda1
21.958 * [backup-simplify]: Simplify PI into PI
21.958 * [taylor]: Taking taylor expansion of (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in lambda1
21.959 * [backup-simplify]: Simplify (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))
21.959 * [taylor]: Taking taylor expansion of (* R (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))))) in lambda2
21.959 * [taylor]: Taking taylor expansion of R in lambda2
21.959 * [backup-simplify]: Simplify R into R
21.959 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))) in lambda2
21.959 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2
21.959 * [taylor]: Taking taylor expansion of 1/2 in lambda2
21.959 * [backup-simplify]: Simplify 1/2 into 1/2
21.959 * [taylor]: Taking taylor expansion of PI in lambda2
21.959 * [backup-simplify]: Simplify PI into PI
21.959 * [taylor]: Taking taylor expansion of (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in lambda2
21.959 * [backup-simplify]: Simplify (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))
21.959 * [taylor]: Taking taylor expansion of (* R (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))))) in phi2
21.959 * [taylor]: Taking taylor expansion of R in phi2
21.959 * [backup-simplify]: Simplify R into R
21.959 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))) in phi2
21.959 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2
21.959 * [taylor]: Taking taylor expansion of 1/2 in phi2
21.959 * [backup-simplify]: Simplify 1/2 into 1/2
21.959 * [taylor]: Taking taylor expansion of PI in phi2
21.959 * [backup-simplify]: Simplify PI into PI
21.959 * [taylor]: Taking taylor expansion of (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in phi2
21.960 * [backup-simplify]: Simplify (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))
21.960 * [taylor]: Taking taylor expansion of (* R (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))))) in phi1
21.960 * [taylor]: Taking taylor expansion of R in phi1
21.960 * [backup-simplify]: Simplify R into R
21.960 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))) in phi1
21.960 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1
21.960 * [taylor]: Taking taylor expansion of 1/2 in phi1
21.960 * [backup-simplify]: Simplify 1/2 into 1/2
21.960 * [taylor]: Taking taylor expansion of PI in phi1
21.960 * [backup-simplify]: Simplify PI into PI
21.960 * [taylor]: Taking taylor expansion of (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in phi1
21.960 * [backup-simplify]: Simplify (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))
21.960 * [taylor]: Taking taylor expansion of (* R (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))))) in phi1
21.960 * [taylor]: Taking taylor expansion of R in phi1
21.960 * [backup-simplify]: Simplify R into R
21.960 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))) in phi1
21.960 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1
21.960 * [taylor]: Taking taylor expansion of 1/2 in phi1
21.960 * [backup-simplify]: Simplify 1/2 into 1/2
21.960 * [taylor]: Taking taylor expansion of PI in phi1
21.960 * [backup-simplify]: Simplify PI into PI
21.960 * [taylor]: Taking taylor expansion of (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in phi1
21.960 * [backup-simplify]: Simplify (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))
21.961 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI)
21.961 * [backup-simplify]: Simplify (- (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))) into (- (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))))
21.962 * [backup-simplify]: Simplify (+ (* 1/2 PI) (- (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))))) into (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))))
21.963 * [backup-simplify]: Simplify (* R (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))))) into (* R (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))))
21.963 * [taylor]: Taking taylor expansion of (* R (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))))) in phi2
21.963 * [taylor]: Taking taylor expansion of R in phi2
21.963 * [backup-simplify]: Simplify R into R
21.963 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))) in phi2
21.963 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2
21.963 * [taylor]: Taking taylor expansion of 1/2 in phi2
21.963 * [backup-simplify]: Simplify 1/2 into 1/2
21.963 * [taylor]: Taking taylor expansion of PI in phi2
21.963 * [backup-simplify]: Simplify PI into PI
21.963 * [taylor]: Taking taylor expansion of (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in phi2
21.964 * [backup-simplify]: Simplify (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))
21.964 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI)
21.965 * [backup-simplify]: Simplify (- (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))) into (- (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))))
21.966 * [backup-simplify]: Simplify (+ (* 1/2 PI) (- (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))))) into (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))))
21.967 * [backup-simplify]: Simplify (* R (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))))) into (* R (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))))
21.967 * [taylor]: Taking taylor expansion of (* R (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))))) in lambda2
21.967 * [taylor]: Taking taylor expansion of R in lambda2
21.967 * [backup-simplify]: Simplify R into R
21.967 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))) in lambda2
21.967 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2
21.967 * [taylor]: Taking taylor expansion of 1/2 in lambda2
21.967 * [backup-simplify]: Simplify 1/2 into 1/2
21.967 * [taylor]: Taking taylor expansion of PI in lambda2
21.967 * [backup-simplify]: Simplify PI into PI
21.967 * [taylor]: Taking taylor expansion of (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in lambda2
21.968 * [backup-simplify]: Simplify (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))
21.968 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI)
21.969 * [backup-simplify]: Simplify (- (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))) into (- (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))))
21.970 * [backup-simplify]: Simplify (+ (* 1/2 PI) (- (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))))) into (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))))
21.971 * [backup-simplify]: Simplify (* R (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))))) into (* R (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))))
21.971 * [taylor]: Taking taylor expansion of (* R (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))))) in lambda1
21.971 * [taylor]: Taking taylor expansion of R in lambda1
21.971 * [backup-simplify]: Simplify R into R
21.971 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))) in lambda1
21.971 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1
21.971 * [taylor]: Taking taylor expansion of 1/2 in lambda1
21.971 * [backup-simplify]: Simplify 1/2 into 1/2
21.971 * [taylor]: Taking taylor expansion of PI in lambda1
21.971 * [backup-simplify]: Simplify PI into PI
21.971 * [taylor]: Taking taylor expansion of (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in lambda1
21.972 * [backup-simplify]: Simplify (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))
21.972 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI)
21.973 * [backup-simplify]: Simplify (- (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))) into (- (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))))
21.974 * [backup-simplify]: Simplify (+ (* 1/2 PI) (- (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))))) into (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))))
21.975 * [backup-simplify]: Simplify (* R (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))))) into (* R (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))))
21.975 * [taylor]: Taking taylor expansion of (* R (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))))) in R
21.975 * [taylor]: Taking taylor expansion of R in R
21.975 * [backup-simplify]: Simplify 0 into 0
21.975 * [backup-simplify]: Simplify 1 into 1
21.975 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))) in R
21.975 * [taylor]: Taking taylor expansion of (* 1/2 PI) in R
21.975 * [taylor]: Taking taylor expansion of 1/2 in R
21.975 * [backup-simplify]: Simplify 1/2 into 1/2
21.975 * [taylor]: Taking taylor expansion of PI in R
21.975 * [backup-simplify]: Simplify PI into PI
21.975 * [taylor]: Taking taylor expansion of (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in R
21.976 * [backup-simplify]: Simplify (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))
21.980 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI)
21.980 * [backup-simplify]: Simplify (- (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))) into (- (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))))
21.981 * [backup-simplify]: Simplify (+ (* 1/2 PI) (- (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))))) into (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))))
21.983 * [backup-simplify]: Simplify (* 0 (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))))) into 0
21.983 * [backup-simplify]: Simplify 0 into 0
21.983 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0
21.984 * [backup-simplify]: Simplify (- 0) into 0
21.984 * [backup-simplify]: Simplify (+ 0 0) into 0
21.986 * [backup-simplify]: Simplify (+ (* R 0) (* 0 (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))))) into 0
21.986 * [taylor]: Taking taylor expansion of 0 in phi2
21.986 * [backup-simplify]: Simplify 0 into 0
21.986 * [taylor]: Taking taylor expansion of 0 in lambda2
21.986 * [backup-simplify]: Simplify 0 into 0
21.986 * [taylor]: Taking taylor expansion of 0 in lambda1
21.986 * [backup-simplify]: Simplify 0 into 0
21.986 * [taylor]: Taking taylor expansion of 0 in R
21.986 * [backup-simplify]: Simplify 0 into 0
21.986 * [backup-simplify]: Simplify 0 into 0
21.987 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0
21.987 * [backup-simplify]: Simplify (- 0) into 0
21.987 * [backup-simplify]: Simplify (+ 0 0) into 0
21.989 * [backup-simplify]: Simplify (+ (* R 0) (* 0 (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))))) into 0
21.989 * [taylor]: Taking taylor expansion of 0 in lambda2
21.989 * [backup-simplify]: Simplify 0 into 0
21.989 * [taylor]: Taking taylor expansion of 0 in lambda1
21.989 * [backup-simplify]: Simplify 0 into 0
21.989 * [taylor]: Taking taylor expansion of 0 in R
21.989 * [backup-simplify]: Simplify 0 into 0
21.989 * [backup-simplify]: Simplify 0 into 0
21.990 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0
21.990 * [backup-simplify]: Simplify (- 0) into 0
21.990 * [backup-simplify]: Simplify (+ 0 0) into 0
21.991 * [backup-simplify]: Simplify (+ (* R 0) (* 0 (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))))) into 0
21.991 * [taylor]: Taking taylor expansion of 0 in lambda1
21.991 * [backup-simplify]: Simplify 0 into 0
21.992 * [taylor]: Taking taylor expansion of 0 in R
21.992 * [backup-simplify]: Simplify 0 into 0
21.992 * [backup-simplify]: Simplify 0 into 0
21.992 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0
21.993 * [backup-simplify]: Simplify (- 0) into 0
21.993 * [backup-simplify]: Simplify (+ 0 0) into 0
21.994 * [backup-simplify]: Simplify (+ (* R 0) (* 0 (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))))) into 0
21.994 * [taylor]: Taking taylor expansion of 0 in R
21.994 * [backup-simplify]: Simplify 0 into 0
21.994 * [backup-simplify]: Simplify 0 into 0
21.995 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0
21.995 * [backup-simplify]: Simplify (- 0) into 0
21.995 * [backup-simplify]: Simplify (+ 0 0) into 0
21.996 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))))) into (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))))
21.997 * [backup-simplify]: Simplify (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))) into (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))))
21.997 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0
21.998 * [backup-simplify]: Simplify (- 0) into 0
21.998 * [backup-simplify]: Simplify (+ 0 0) into 0
21.999 * [backup-simplify]: Simplify (+ (* R 0) (+ (* 0 0) (* 0 (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))))))) into 0
21.999 * [taylor]: Taking taylor expansion of 0 in phi2
21.999 * [backup-simplify]: Simplify 0 into 0
21.999 * [taylor]: Taking taylor expansion of 0 in lambda2
21.999 * [backup-simplify]: Simplify 0 into 0
21.999 * [taylor]: Taking taylor expansion of 0 in lambda1
21.999 * [backup-simplify]: Simplify 0 into 0
21.999 * [taylor]: Taking taylor expansion of 0 in R
21.999 * [backup-simplify]: Simplify 0 into 0
21.999 * [backup-simplify]: Simplify 0 into 0
21.999 * [taylor]: Taking taylor expansion of 0 in lambda2
21.999 * [backup-simplify]: Simplify 0 into 0
21.999 * [taylor]: Taking taylor expansion of 0 in lambda1
21.999 * [backup-simplify]: Simplify 0 into 0
21.999 * [taylor]: Taking taylor expansion of 0 in R
21.999 * [backup-simplify]: Simplify 0 into 0
21.999 * [backup-simplify]: Simplify 0 into 0
22.000 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0
22.000 * [backup-simplify]: Simplify (- 0) into 0
22.000 * [backup-simplify]: Simplify (+ 0 0) into 0
22.001 * [backup-simplify]: Simplify (+ (* R 0) (+ (* 0 0) (* 0 (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))))))) into 0
22.001 * [taylor]: Taking taylor expansion of 0 in lambda2
22.001 * [backup-simplify]: Simplify 0 into 0
22.001 * [taylor]: Taking taylor expansion of 0 in lambda1
22.001 * [backup-simplify]: Simplify 0 into 0
22.001 * [taylor]: Taking taylor expansion of 0 in R
22.001 * [backup-simplify]: Simplify 0 into 0
22.001 * [backup-simplify]: Simplify 0 into 0
22.001 * [taylor]: Taking taylor expansion of 0 in lambda1
22.001 * [backup-simplify]: Simplify 0 into 0
22.001 * [taylor]: Taking taylor expansion of 0 in R
22.001 * [backup-simplify]: Simplify 0 into 0
22.001 * [backup-simplify]: Simplify 0 into 0
22.001 * [taylor]: Taking taylor expansion of 0 in lambda1
22.001 * [backup-simplify]: Simplify 0 into 0
22.001 * [taylor]: Taking taylor expansion of 0 in R
22.001 * [backup-simplify]: Simplify 0 into 0
22.001 * [backup-simplify]: Simplify 0 into 0
22.002 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0
22.002 * [backup-simplify]: Simplify (- 0) into 0
22.002 * [backup-simplify]: Simplify (+ 0 0) into 0
22.003 * [backup-simplify]: Simplify (+ (* R 0) (+ (* 0 0) (* 0 (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))))))) into 0
22.003 * [taylor]: Taking taylor expansion of 0 in lambda1
22.003 * [backup-simplify]: Simplify 0 into 0
22.003 * [taylor]: Taking taylor expansion of 0 in R
22.003 * [backup-simplify]: Simplify 0 into 0
22.003 * [backup-simplify]: Simplify 0 into 0
22.004 * [backup-simplify]: Simplify (* (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))) (* R (* 1 (* 1 (* 1 1))))) into (* R (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))))
22.005 * [backup-simplify]: Simplify (* (- (/ PI 2) (asin (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))))))))) (/ 1 R)) into (/ (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) R)
22.005 * [approximate]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) R) in (phi1 phi2 lambda2 lambda1 R) around 0
22.005 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) R) in R
22.005 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) in R
22.005 * [taylor]: Taking taylor expansion of (* 1/2 PI) in R
22.005 * [taylor]: Taking taylor expansion of 1/2 in R
22.005 * [backup-simplify]: Simplify 1/2 into 1/2
22.005 * [taylor]: Taking taylor expansion of PI in R
22.005 * [backup-simplify]: Simplify PI into PI
22.005 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in R
22.006 * [backup-simplify]: Simplify (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
22.006 * [taylor]: Taking taylor expansion of R in R
22.006 * [backup-simplify]: Simplify 0 into 0
22.006 * [backup-simplify]: Simplify 1 into 1
22.006 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI)
22.006 * [backup-simplify]: Simplify (- (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) into (- (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))))
22.007 * [backup-simplify]: Simplify (+ (* 1/2 PI) (- (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))))) into (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))))
22.008 * [backup-simplify]: Simplify (/ (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) 1) into (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))))
22.008 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) R) in lambda1
22.008 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) in lambda1
22.008 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1
22.008 * [taylor]: Taking taylor expansion of 1/2 in lambda1
22.008 * [backup-simplify]: Simplify 1/2 into 1/2
22.008 * [taylor]: Taking taylor expansion of PI in lambda1
22.008 * [backup-simplify]: Simplify PI into PI
22.008 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1
22.008 * [backup-simplify]: Simplify (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
22.008 * [taylor]: Taking taylor expansion of R in lambda1
22.009 * [backup-simplify]: Simplify R into R
22.009 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI)
22.009 * [backup-simplify]: Simplify (- (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) into (- (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))))
22.010 * [backup-simplify]: Simplify (+ (* 1/2 PI) (- (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))))) into (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))))
22.011 * [backup-simplify]: Simplify (/ (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) R) into (/ (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) R)
22.011 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) R) in lambda2
22.011 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) in lambda2
22.011 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2
22.011 * [taylor]: Taking taylor expansion of 1/2 in lambda2
22.011 * [backup-simplify]: Simplify 1/2 into 1/2
22.011 * [taylor]: Taking taylor expansion of PI in lambda2
22.011 * [backup-simplify]: Simplify PI into PI
22.011 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2
22.011 * [backup-simplify]: Simplify (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
22.011 * [taylor]: Taking taylor expansion of R in lambda2
22.011 * [backup-simplify]: Simplify R into R
22.012 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI)
22.012 * [backup-simplify]: Simplify (- (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) into (- (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))))
22.013 * [backup-simplify]: Simplify (+ (* 1/2 PI) (- (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))))) into (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))))
22.013 * [backup-simplify]: Simplify (/ (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) R) into (/ (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) R)
22.014 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) R) in phi2
22.014 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) in phi2
22.014 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2
22.014 * [taylor]: Taking taylor expansion of 1/2 in phi2
22.014 * [backup-simplify]: Simplify 1/2 into 1/2
22.014 * [taylor]: Taking taylor expansion of PI in phi2
22.014 * [backup-simplify]: Simplify PI into PI
22.014 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2
22.014 * [backup-simplify]: Simplify (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
22.014 * [taylor]: Taking taylor expansion of R in phi2
22.014 * [backup-simplify]: Simplify R into R
22.014 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI)
22.015 * [backup-simplify]: Simplify (- (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) into (- (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))))
22.016 * [backup-simplify]: Simplify (+ (* 1/2 PI) (- (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))))) into (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))))
22.016 * [backup-simplify]: Simplify (/ (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) R) into (/ (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) R)
22.016 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) R) in phi1
22.016 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) in phi1
22.016 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1
22.016 * [taylor]: Taking taylor expansion of 1/2 in phi1
22.016 * [backup-simplify]: Simplify 1/2 into 1/2
22.016 * [taylor]: Taking taylor expansion of PI in phi1
22.017 * [backup-simplify]: Simplify PI into PI
22.017 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1
22.017 * [backup-simplify]: Simplify (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
22.017 * [taylor]: Taking taylor expansion of R in phi1
22.017 * [backup-simplify]: Simplify R into R
22.017 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI)
22.018 * [backup-simplify]: Simplify (- (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) into (- (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))))
22.018 * [backup-simplify]: Simplify (+ (* 1/2 PI) (- (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))))) into (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))))
22.019 * [backup-simplify]: Simplify (/ (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) R) into (/ (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) R)
22.019 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) R) in phi1
22.019 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) in phi1
22.019 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1
22.019 * [taylor]: Taking taylor expansion of 1/2 in phi1
22.019 * [backup-simplify]: Simplify 1/2 into 1/2
22.019 * [taylor]: Taking taylor expansion of PI in phi1
22.019 * [backup-simplify]: Simplify PI into PI
22.019 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1
22.020 * [backup-simplify]: Simplify (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
22.020 * [taylor]: Taking taylor expansion of R in phi1
22.020 * [backup-simplify]: Simplify R into R
22.020 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI)
22.020 * [backup-simplify]: Simplify (- (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) into (- (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))))
22.021 * [backup-simplify]: Simplify (+ (* 1/2 PI) (- (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))))) into (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))))
22.022 * [backup-simplify]: Simplify (/ (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) R) into (/ (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) R)
22.022 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) R) in phi2
22.022 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) in phi2
22.022 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2
22.022 * [taylor]: Taking taylor expansion of 1/2 in phi2
22.022 * [backup-simplify]: Simplify 1/2 into 1/2
22.022 * [taylor]: Taking taylor expansion of PI in phi2
22.022 * [backup-simplify]: Simplify PI into PI
22.022 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2
22.023 * [backup-simplify]: Simplify (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
22.023 * [taylor]: Taking taylor expansion of R in phi2
22.023 * [backup-simplify]: Simplify R into R
22.024 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI)
22.024 * [backup-simplify]: Simplify (- (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) into (- (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))))
22.026 * [backup-simplify]: Simplify (+ (* 1/2 PI) (- (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))))) into (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))))
22.027 * [backup-simplify]: Simplify (/ (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) R) into (/ (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) R)
22.027 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) R) in lambda2
22.027 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) in lambda2
22.027 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2
22.027 * [taylor]: Taking taylor expansion of 1/2 in lambda2
22.027 * [backup-simplify]: Simplify 1/2 into 1/2
22.027 * [taylor]: Taking taylor expansion of PI in lambda2
22.028 * [backup-simplify]: Simplify PI into PI
22.028 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2
22.028 * [backup-simplify]: Simplify (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
22.028 * [taylor]: Taking taylor expansion of R in lambda2
22.028 * [backup-simplify]: Simplify R into R
22.029 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI)
22.030 * [backup-simplify]: Simplify (- (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) into (- (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))))
22.032 * [backup-simplify]: Simplify (+ (* 1/2 PI) (- (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))))) into (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))))
22.034 * [backup-simplify]: Simplify (/ (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) R) into (/ (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) R)
22.034 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) R) in lambda1
22.034 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) in lambda1
22.034 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1
22.034 * [taylor]: Taking taylor expansion of 1/2 in lambda1
22.034 * [backup-simplify]: Simplify 1/2 into 1/2
22.034 * [taylor]: Taking taylor expansion of PI in lambda1
22.034 * [backup-simplify]: Simplify PI into PI
22.034 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1
22.035 * [backup-simplify]: Simplify (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
22.035 * [taylor]: Taking taylor expansion of R in lambda1
22.035 * [backup-simplify]: Simplify R into R
22.036 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI)
22.037 * [backup-simplify]: Simplify (- (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) into (- (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))))
22.038 * [backup-simplify]: Simplify (+ (* 1/2 PI) (- (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))))) into (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))))
22.040 * [backup-simplify]: Simplify (/ (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) R) into (/ (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) R)
22.040 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) R) in R
22.040 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) in R
22.040 * [taylor]: Taking taylor expansion of (* 1/2 PI) in R
22.040 * [taylor]: Taking taylor expansion of 1/2 in R
22.040 * [backup-simplify]: Simplify 1/2 into 1/2
22.040 * [taylor]: Taking taylor expansion of PI in R
22.040 * [backup-simplify]: Simplify PI into PI
22.040 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in R
22.041 * [backup-simplify]: Simplify (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
22.041 * [taylor]: Taking taylor expansion of R in R
22.041 * [backup-simplify]: Simplify 0 into 0
22.041 * [backup-simplify]: Simplify 1 into 1
22.042 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI)
22.043 * [backup-simplify]: Simplify (- (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) into (- (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))))
22.044 * [backup-simplify]: Simplify (+ (* 1/2 PI) (- (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))))) into (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))))
22.046 * [backup-simplify]: Simplify (/ (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) 1) into (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))))
22.047 * [backup-simplify]: Simplify (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) into (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))))
22.048 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0
22.049 * [backup-simplify]: Simplify (- 0) into 0
22.049 * [backup-simplify]: Simplify (+ 0 0) into 0
22.050 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) R) (/ 0 R)))) into 0
22.051 * [taylor]: Taking taylor expansion of 0 in phi2
22.051 * [backup-simplify]: Simplify 0 into 0
22.051 * [taylor]: Taking taylor expansion of 0 in lambda2
22.051 * [backup-simplify]: Simplify 0 into 0
22.051 * [taylor]: Taking taylor expansion of 0 in lambda1
22.051 * [backup-simplify]: Simplify 0 into 0
22.051 * [taylor]: Taking taylor expansion of 0 in R
22.051 * [backup-simplify]: Simplify 0 into 0
22.052 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0
22.052 * [backup-simplify]: Simplify (- 0) into 0
22.052 * [backup-simplify]: Simplify (+ 0 0) into 0
22.054 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) R) (/ 0 R)))) into 0
22.054 * [taylor]: Taking taylor expansion of 0 in lambda2
22.054 * [backup-simplify]: Simplify 0 into 0
22.054 * [taylor]: Taking taylor expansion of 0 in lambda1
22.054 * [backup-simplify]: Simplify 0 into 0
22.054 * [taylor]: Taking taylor expansion of 0 in R
22.054 * [backup-simplify]: Simplify 0 into 0
22.055 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0
22.055 * [backup-simplify]: Simplify (- 0) into 0
22.056 * [backup-simplify]: Simplify (+ 0 0) into 0
22.057 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) R) (/ 0 R)))) into 0
22.057 * [taylor]: Taking taylor expansion of 0 in lambda1
22.057 * [backup-simplify]: Simplify 0 into 0
22.057 * [taylor]: Taking taylor expansion of 0 in R
22.058 * [backup-simplify]: Simplify 0 into 0
22.058 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0
22.059 * [backup-simplify]: Simplify (- 0) into 0
22.059 * [backup-simplify]: Simplify (+ 0 0) into 0
22.060 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) R) (/ 0 R)))) into 0
22.060 * [taylor]: Taking taylor expansion of 0 in R
22.060 * [backup-simplify]: Simplify 0 into 0
22.060 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0
22.060 * [backup-simplify]: Simplify (- 0) into 0
22.061 * [backup-simplify]: Simplify (+ 0 0) into 0
22.062 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) (/ 0 1)))) into 0
22.062 * [backup-simplify]: Simplify 0 into 0
22.063 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0
22.063 * [backup-simplify]: Simplify (- 0) into 0
22.063 * [backup-simplify]: Simplify (+ 0 0) into 0
22.064 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
22.064 * [taylor]: Taking taylor expansion of 0 in phi2
22.064 * [backup-simplify]: Simplify 0 into 0
22.064 * [taylor]: Taking taylor expansion of 0 in lambda2
22.064 * [backup-simplify]: Simplify 0 into 0
22.064 * [taylor]: Taking taylor expansion of 0 in lambda1
22.064 * [backup-simplify]: Simplify 0 into 0
22.064 * [taylor]: Taking taylor expansion of 0 in R
22.064 * [backup-simplify]: Simplify 0 into 0
22.064 * [taylor]: Taking taylor expansion of 0 in lambda2
22.064 * [backup-simplify]: Simplify 0 into 0
22.064 * [taylor]: Taking taylor expansion of 0 in lambda1
22.064 * [backup-simplify]: Simplify 0 into 0
22.064 * [taylor]: Taking taylor expansion of 0 in R
22.064 * [backup-simplify]: Simplify 0 into 0
22.065 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0
22.065 * [backup-simplify]: Simplify (- 0) into 0
22.065 * [backup-simplify]: Simplify (+ 0 0) into 0
22.066 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
22.066 * [taylor]: Taking taylor expansion of 0 in lambda2
22.066 * [backup-simplify]: Simplify 0 into 0
22.066 * [taylor]: Taking taylor expansion of 0 in lambda1
22.066 * [backup-simplify]: Simplify 0 into 0
22.066 * [taylor]: Taking taylor expansion of 0 in R
22.066 * [backup-simplify]: Simplify 0 into 0
22.066 * [taylor]: Taking taylor expansion of 0 in lambda1
22.066 * [backup-simplify]: Simplify 0 into 0
22.066 * [taylor]: Taking taylor expansion of 0 in R
22.066 * [backup-simplify]: Simplify 0 into 0
22.066 * [taylor]: Taking taylor expansion of 0 in lambda1
22.066 * [backup-simplify]: Simplify 0 into 0
22.066 * [taylor]: Taking taylor expansion of 0 in R
22.066 * [backup-simplify]: Simplify 0 into 0
22.067 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0
22.067 * [backup-simplify]: Simplify (- 0) into 0
22.068 * [backup-simplify]: Simplify (+ 0 0) into 0
22.068 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
22.068 * [taylor]: Taking taylor expansion of 0 in lambda1
22.068 * [backup-simplify]: Simplify 0 into 0
22.068 * [taylor]: Taking taylor expansion of 0 in R
22.068 * [backup-simplify]: Simplify 0 into 0
22.068 * [taylor]: Taking taylor expansion of 0 in R
22.069 * [backup-simplify]: Simplify 0 into 0
22.069 * [taylor]: Taking taylor expansion of 0 in R
22.069 * [backup-simplify]: Simplify 0 into 0
22.069 * [taylor]: Taking taylor expansion of 0 in R
22.069 * [backup-simplify]: Simplify 0 into 0
22.069 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0
22.069 * [backup-simplify]: Simplify (- 0) into 0
22.070 * [backup-simplify]: Simplify (+ 0 0) into 0
22.070 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
22.071 * [taylor]: Taking taylor expansion of 0 in R
22.071 * [backup-simplify]: Simplify 0 into 0
22.071 * [backup-simplify]: Simplify 0 into 0
22.071 * [backup-simplify]: Simplify 0 into 0
22.071 * [backup-simplify]: Simplify 0 into 0
22.071 * [backup-simplify]: Simplify 0 into 0
22.071 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0
22.071 * [backup-simplify]: Simplify (- 0) into 0
22.072 * [backup-simplify]: Simplify (+ 0 0) into 0
22.073 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
22.073 * [backup-simplify]: Simplify 0 into 0
22.074 * [backup-simplify]: Simplify (* (- (* 1/2 PI) (asin (+ (* (cos (/ 1 (/ 1 phi2))) (* (sin (/ 1 (/ 1 lambda2))) (* (sin (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1)))))) (+ (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1)))))))))) (* (/ 1 (/ 1 R)) (* 1 (* 1 (* 1 1))))) into (* R (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))))
22.075 * [backup-simplify]: Simplify (* (- (/ PI 2) (asin (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (cos (/ 1 (- phi1))) (* (cos (/ 1 (- phi2))) (+ (* (sin (/ 1 (- lambda2))) (sin (/ 1 (- lambda1)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))))))))) (/ 1 (- R))) into (* -1 (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) R))
22.075 * [approximate]: Taking taylor expansion of (* -1 (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) R)) in (phi1 phi2 lambda2 lambda1 R) around 0
22.075 * [taylor]: Taking taylor expansion of (* -1 (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) R)) in R
22.075 * [taylor]: Taking taylor expansion of -1 in R
22.075 * [backup-simplify]: Simplify -1 into -1
22.075 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) R) in R
22.075 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) in R
22.075 * [taylor]: Taking taylor expansion of (* 1/2 PI) in R
22.075 * [taylor]: Taking taylor expansion of 1/2 in R
22.075 * [backup-simplify]: Simplify 1/2 into 1/2
22.075 * [taylor]: Taking taylor expansion of PI in R
22.075 * [backup-simplify]: Simplify PI into PI
22.075 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in R
22.076 * [backup-simplify]: Simplify (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
22.076 * [taylor]: Taking taylor expansion of R in R
22.076 * [backup-simplify]: Simplify 0 into 0
22.076 * [backup-simplify]: Simplify 1 into 1
22.076 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI)
22.077 * [backup-simplify]: Simplify (- (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) into (- (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))))
22.077 * [backup-simplify]: Simplify (+ (* 1/2 PI) (- (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))))) into (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))))
22.078 * [backup-simplify]: Simplify (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) 1) into (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))))
22.078 * [taylor]: Taking taylor expansion of (* -1 (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) R)) in lambda1
22.078 * [taylor]: Taking taylor expansion of -1 in lambda1
22.078 * [backup-simplify]: Simplify -1 into -1
22.078 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) R) in lambda1
22.078 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) in lambda1
22.078 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1
22.078 * [taylor]: Taking taylor expansion of 1/2 in lambda1
22.078 * [backup-simplify]: Simplify 1/2 into 1/2
22.078 * [taylor]: Taking taylor expansion of PI in lambda1
22.078 * [backup-simplify]: Simplify PI into PI
22.078 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1
22.079 * [backup-simplify]: Simplify (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
22.079 * [taylor]: Taking taylor expansion of R in lambda1
22.079 * [backup-simplify]: Simplify R into R
22.081 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI)
22.082 * [backup-simplify]: Simplify (- (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) into (- (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))))
22.083 * [backup-simplify]: Simplify (+ (* 1/2 PI) (- (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))))) into (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))))
22.084 * [backup-simplify]: Simplify (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) R) into (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) R)
22.084 * [taylor]: Taking taylor expansion of (* -1 (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) R)) in lambda2
22.084 * [taylor]: Taking taylor expansion of -1 in lambda2
22.084 * [backup-simplify]: Simplify -1 into -1
22.084 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) R) in lambda2
22.084 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) in lambda2
22.084 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2
22.084 * [taylor]: Taking taylor expansion of 1/2 in lambda2
22.084 * [backup-simplify]: Simplify 1/2 into 1/2
22.084 * [taylor]: Taking taylor expansion of PI in lambda2
22.084 * [backup-simplify]: Simplify PI into PI
22.084 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda2
22.084 * [backup-simplify]: Simplify (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
22.084 * [taylor]: Taking taylor expansion of R in lambda2
22.084 * [backup-simplify]: Simplify R into R
22.085 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI)
22.085 * [backup-simplify]: Simplify (- (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) into (- (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))))
22.086 * [backup-simplify]: Simplify (+ (* 1/2 PI) (- (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))))) into (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))))
22.087 * [backup-simplify]: Simplify (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) R) into (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) R)
22.087 * [taylor]: Taking taylor expansion of (* -1 (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) R)) in phi2
22.087 * [taylor]: Taking taylor expansion of -1 in phi2
22.087 * [backup-simplify]: Simplify -1 into -1
22.087 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) R) in phi2
22.087 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) in phi2
22.087 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2
22.087 * [taylor]: Taking taylor expansion of 1/2 in phi2
22.087 * [backup-simplify]: Simplify 1/2 into 1/2
22.087 * [taylor]: Taking taylor expansion of PI in phi2
22.087 * [backup-simplify]: Simplify PI into PI
22.087 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi2
22.088 * [backup-simplify]: Simplify (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
22.088 * [taylor]: Taking taylor expansion of R in phi2
22.088 * [backup-simplify]: Simplify R into R
22.089 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI)
22.090 * [backup-simplify]: Simplify (- (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) into (- (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))))
22.091 * [backup-simplify]: Simplify (+ (* 1/2 PI) (- (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))))) into (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))))
22.092 * [backup-simplify]: Simplify (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) R) into (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) R)
22.093 * [taylor]: Taking taylor expansion of (* -1 (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) R)) in phi1
22.093 * [taylor]: Taking taylor expansion of -1 in phi1
22.093 * [backup-simplify]: Simplify -1 into -1
22.093 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) R) in phi1
22.093 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) in phi1
22.093 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1
22.093 * [taylor]: Taking taylor expansion of 1/2 in phi1
22.093 * [backup-simplify]: Simplify 1/2 into 1/2
22.093 * [taylor]: Taking taylor expansion of PI in phi1
22.093 * [backup-simplify]: Simplify PI into PI
22.093 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1
22.094 * [backup-simplify]: Simplify (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
22.094 * [taylor]: Taking taylor expansion of R in phi1
22.094 * [backup-simplify]: Simplify R into R
22.094 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI)
22.095 * [backup-simplify]: Simplify (- (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) into (- (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))))
22.097 * [backup-simplify]: Simplify (+ (* 1/2 PI) (- (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))))) into (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))))
22.098 * [backup-simplify]: Simplify (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) R) into (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) R)
22.098 * [taylor]: Taking taylor expansion of (* -1 (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) R)) in phi1
22.098 * [taylor]: Taking taylor expansion of -1 in phi1
22.098 * [backup-simplify]: Simplify -1 into -1
22.098 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) R) in phi1
22.098 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) in phi1
22.098 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1
22.098 * [taylor]: Taking taylor expansion of 1/2 in phi1
22.098 * [backup-simplify]: Simplify 1/2 into 1/2
22.098 * [taylor]: Taking taylor expansion of PI in phi1
22.098 * [backup-simplify]: Simplify PI into PI
22.098 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1
22.099 * [backup-simplify]: Simplify (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
22.099 * [taylor]: Taking taylor expansion of R in phi1
22.099 * [backup-simplify]: Simplify R into R
22.100 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI)
22.101 * [backup-simplify]: Simplify (- (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) into (- (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))))
22.102 * [backup-simplify]: Simplify (+ (* 1/2 PI) (- (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))))) into (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))))
22.104 * [backup-simplify]: Simplify (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) R) into (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) R)
22.105 * [backup-simplify]: Simplify (* -1 (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) R)) into (* -1 (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) R))
22.105 * [taylor]: Taking taylor expansion of (* -1 (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) R)) in phi2
22.105 * [taylor]: Taking taylor expansion of -1 in phi2
22.105 * [backup-simplify]: Simplify -1 into -1
22.105 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) R) in phi2
22.105 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) in phi2
22.106 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2
22.106 * [taylor]: Taking taylor expansion of 1/2 in phi2
22.106 * [backup-simplify]: Simplify 1/2 into 1/2
22.106 * [taylor]: Taking taylor expansion of PI in phi2
22.106 * [backup-simplify]: Simplify PI into PI
22.106 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in phi2
22.107 * [backup-simplify]: Simplify (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))
22.107 * [taylor]: Taking taylor expansion of R in phi2
22.107 * [backup-simplify]: Simplify R into R
22.107 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI)
22.108 * [backup-simplify]: Simplify (- (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) into (- (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))))
22.110 * [backup-simplify]: Simplify (+ (* 1/2 PI) (- (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))))) into (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))))
22.112 * [backup-simplify]: Simplify (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) R) into (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) R)
22.113 * [backup-simplify]: Simplify (* -1 (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) R)) into (* -1 (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) R))
22.113 * [taylor]: Taking taylor expansion of (* -1 (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) R)) in lambda2
22.113 * [taylor]: Taking taylor expansion of -1 in lambda2
22.113 * [backup-simplify]: Simplify -1 into -1
22.113 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) R) in lambda2
22.113 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) in lambda2
22.114 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2
22.114 * [taylor]: Taking taylor expansion of 1/2 in lambda2
22.114 * [backup-simplify]: Simplify 1/2 into 1/2
22.114 * [taylor]: Taking taylor expansion of PI in lambda2
22.114 * [backup-simplify]: Simplify PI into PI
22.114 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda2
22.114 * [backup-simplify]: Simplify (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
22.114 * [taylor]: Taking taylor expansion of R in lambda2
22.114 * [backup-simplify]: Simplify R into R
22.115 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI)
22.116 * [backup-simplify]: Simplify (- (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) into (- (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))))
22.118 * [backup-simplify]: Simplify (+ (* 1/2 PI) (- (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))))) into (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))))
22.119 * [backup-simplify]: Simplify (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) R) into (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) R)
22.121 * [backup-simplify]: Simplify (* -1 (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) R)) into (* -1 (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) R))
22.121 * [taylor]: Taking taylor expansion of (* -1 (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) R)) in lambda1
22.121 * [taylor]: Taking taylor expansion of -1 in lambda1
22.121 * [backup-simplify]: Simplify -1 into -1
22.121 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) R) in lambda1
22.121 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) in lambda1
22.121 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1
22.121 * [taylor]: Taking taylor expansion of 1/2 in lambda1
22.121 * [backup-simplify]: Simplify 1/2 into 1/2
22.121 * [taylor]: Taking taylor expansion of PI in lambda1
22.121 * [backup-simplify]: Simplify PI into PI
22.121 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in lambda1
22.122 * [backup-simplify]: Simplify (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))
22.122 * [taylor]: Taking taylor expansion of R in lambda1
22.122 * [backup-simplify]: Simplify R into R
22.123 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI)
22.123 * [backup-simplify]: Simplify (- (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) into (- (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))))
22.125 * [backup-simplify]: Simplify (+ (* 1/2 PI) (- (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))))) into (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))))
22.126 * [backup-simplify]: Simplify (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) R) into (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) R)
22.128 * [backup-simplify]: Simplify (* -1 (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) R)) into (* -1 (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) R))
22.128 * [taylor]: Taking taylor expansion of (* -1 (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) R)) in R
22.128 * [taylor]: Taking taylor expansion of -1 in R
22.128 * [backup-simplify]: Simplify -1 into -1
22.128 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) R) in R
22.128 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) in R
22.128 * [taylor]: Taking taylor expansion of (* 1/2 PI) in R
22.128 * [taylor]: Taking taylor expansion of 1/2 in R
22.128 * [backup-simplify]: Simplify 1/2 into 1/2
22.128 * [taylor]: Taking taylor expansion of PI in R
22.128 * [backup-simplify]: Simplify PI into PI
22.128 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in R
22.129 * [backup-simplify]: Simplify (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
22.129 * [taylor]: Taking taylor expansion of R in R
22.129 * [backup-simplify]: Simplify 0 into 0
22.129 * [backup-simplify]: Simplify 1 into 1
22.130 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI)
22.130 * [backup-simplify]: Simplify (- (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) into (- (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))))
22.132 * [backup-simplify]: Simplify (+ (* 1/2 PI) (- (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))))) into (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))))
22.133 * [backup-simplify]: Simplify (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) 1) into (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))))
22.135 * [backup-simplify]: Simplify (* -1 (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))))) into (* -1 (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))))
22.136 * [backup-simplify]: Simplify (* -1 (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))))) into (* -1 (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))))
22.137 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0
22.138 * [backup-simplify]: Simplify (- 0) into 0
22.138 * [backup-simplify]: Simplify (+ 0 0) into 0
22.139 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) R) (/ 0 R)))) into 0
22.141 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) R))) into 0
22.141 * [taylor]: Taking taylor expansion of 0 in phi2
22.141 * [backup-simplify]: Simplify 0 into 0
22.141 * [taylor]: Taking taylor expansion of 0 in lambda2
22.141 * [backup-simplify]: Simplify 0 into 0
22.141 * [taylor]: Taking taylor expansion of 0 in lambda1
22.141 * [backup-simplify]: Simplify 0 into 0
22.142 * [taylor]: Taking taylor expansion of 0 in R
22.142 * [backup-simplify]: Simplify 0 into 0
22.142 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0
22.143 * [backup-simplify]: Simplify (- 0) into 0
22.143 * [backup-simplify]: Simplify (+ 0 0) into 0
22.145 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) R) (/ 0 R)))) into 0
22.146 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) R))) into 0
22.146 * [taylor]: Taking taylor expansion of 0 in lambda2
22.147 * [backup-simplify]: Simplify 0 into 0
22.147 * [taylor]: Taking taylor expansion of 0 in lambda1
22.147 * [backup-simplify]: Simplify 0 into 0
22.147 * [taylor]: Taking taylor expansion of 0 in R
22.147 * [backup-simplify]: Simplify 0 into 0
22.148 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0
22.148 * [backup-simplify]: Simplify (- 0) into 0
22.149 * [backup-simplify]: Simplify (+ 0 0) into 0
22.150 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) R) (/ 0 R)))) into 0
22.152 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) R))) into 0
22.152 * [taylor]: Taking taylor expansion of 0 in lambda1
22.152 * [backup-simplify]: Simplify 0 into 0
22.152 * [taylor]: Taking taylor expansion of 0 in R
22.152 * [backup-simplify]: Simplify 0 into 0
22.153 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0
22.153 * [backup-simplify]: Simplify (- 0) into 0
22.153 * [backup-simplify]: Simplify (+ 0 0) into 0
22.155 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) R) (/ 0 R)))) into 0
22.157 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) R))) into 0
22.157 * [taylor]: Taking taylor expansion of 0 in R
22.157 * [backup-simplify]: Simplify 0 into 0
22.158 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0
22.158 * [backup-simplify]: Simplify (- 0) into 0
22.158 * [backup-simplify]: Simplify (+ 0 0) into 0
22.161 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) (/ 0 1)))) into 0
22.162 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))))) into 0
22.162 * [backup-simplify]: Simplify 0 into 0
22.164 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0
22.164 * [backup-simplify]: Simplify (- 0) into 0
22.164 * [backup-simplify]: Simplify (+ 0 0) into 0
22.166 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
22.168 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) R)))) into 0
22.168 * [taylor]: Taking taylor expansion of 0 in phi2
22.168 * [backup-simplify]: Simplify 0 into 0
22.169 * [taylor]: Taking taylor expansion of 0 in lambda2
22.169 * [backup-simplify]: Simplify 0 into 0
22.169 * [taylor]: Taking taylor expansion of 0 in lambda1
22.169 * [backup-simplify]: Simplify 0 into 0
22.169 * [taylor]: Taking taylor expansion of 0 in R
22.169 * [backup-simplify]: Simplify 0 into 0
22.169 * [taylor]: Taking taylor expansion of 0 in lambda2
22.169 * [backup-simplify]: Simplify 0 into 0
22.169 * [taylor]: Taking taylor expansion of 0 in lambda1
22.169 * [backup-simplify]: Simplify 0 into 0
22.169 * [taylor]: Taking taylor expansion of 0 in R
22.169 * [backup-simplify]: Simplify 0 into 0
22.170 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0
22.170 * [backup-simplify]: Simplify (- 0) into 0
22.171 * [backup-simplify]: Simplify (+ 0 0) into 0
22.172 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
22.175 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) R)))) into 0
22.175 * [taylor]: Taking taylor expansion of 0 in lambda2
22.175 * [backup-simplify]: Simplify 0 into 0
22.176 * [taylor]: Taking taylor expansion of 0 in lambda1
22.176 * [backup-simplify]: Simplify 0 into 0
22.176 * [taylor]: Taking taylor expansion of 0 in R
22.176 * [backup-simplify]: Simplify 0 into 0
22.176 * [taylor]: Taking taylor expansion of 0 in lambda1
22.176 * [backup-simplify]: Simplify 0 into 0
22.176 * [taylor]: Taking taylor expansion of 0 in R
22.176 * [backup-simplify]: Simplify 0 into 0
22.176 * [taylor]: Taking taylor expansion of 0 in lambda1
22.176 * [backup-simplify]: Simplify 0 into 0
22.176 * [taylor]: Taking taylor expansion of 0 in R
22.176 * [backup-simplify]: Simplify 0 into 0
22.177 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0
22.178 * [backup-simplify]: Simplify (- 0) into 0
22.178 * [backup-simplify]: Simplify (+ 0 0) into 0
22.180 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
22.182 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) R)))) into 0
22.182 * [taylor]: Taking taylor expansion of 0 in lambda1
22.182 * [backup-simplify]: Simplify 0 into 0
22.182 * [taylor]: Taking taylor expansion of 0 in R
22.182 * [backup-simplify]: Simplify 0 into 0
22.182 * [taylor]: Taking taylor expansion of 0 in R
22.182 * [backup-simplify]: Simplify 0 into 0
22.182 * [taylor]: Taking taylor expansion of 0 in R
22.182 * [backup-simplify]: Simplify 0 into 0
22.182 * [taylor]: Taking taylor expansion of 0 in R
22.182 * [backup-simplify]: Simplify 0 into 0
22.184 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0
22.184 * [backup-simplify]: Simplify (- 0) into 0
22.184 * [backup-simplify]: Simplify (+ 0 0) into 0
22.186 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
22.188 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) R)))) into 0
22.188 * [taylor]: Taking taylor expansion of 0 in R
22.188 * [backup-simplify]: Simplify 0 into 0
22.189 * [backup-simplify]: Simplify 0 into 0
22.189 * [backup-simplify]: Simplify 0 into 0
22.189 * [backup-simplify]: Simplify 0 into 0
22.189 * [backup-simplify]: Simplify 0 into 0
22.190 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0
22.190 * [backup-simplify]: Simplify (- 0) into 0
22.191 * [backup-simplify]: Simplify (+ 0 0) into 0
22.193 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
22.195 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))))))) into 0
22.196 * [backup-simplify]: Simplify 0 into 0
22.198 * [backup-simplify]: Simplify (* (* -1 (- (* 1/2 PI) (asin (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (sin (/ -1 (/ 1 (- lambda2))))))) (+ (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (cos (/ -1 (/ 1 (- lambda2)))))))))))) (* (/ 1 (/ 1 (- R))) (* 1 (* 1 (* 1 1))))) into (* (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) R)
22.198 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1 1)
22.198 * [backup-simplify]: Simplify (* (sin phi1) (sin phi2)) into (* (sin phi1) (sin phi2))
22.198 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0
22.198 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2
22.198 * [taylor]: Taking taylor expansion of (sin phi1) in phi2
22.198 * [taylor]: Taking taylor expansion of phi1 in phi2
22.198 * [backup-simplify]: Simplify phi1 into phi1
22.198 * [backup-simplify]: Simplify (sin phi1) into (sin phi1)
22.198 * [backup-simplify]: Simplify (cos phi1) into (cos phi1)
22.198 * [taylor]: Taking taylor expansion of (sin phi2) in phi2
22.198 * [taylor]: Taking taylor expansion of phi2 in phi2
22.198 * [backup-simplify]: Simplify 0 into 0
22.198 * [backup-simplify]: Simplify 1 into 1
22.198 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1
22.198 * [taylor]: Taking taylor expansion of (sin phi1) in phi1
22.198 * [taylor]: Taking taylor expansion of phi1 in phi1
22.198 * [backup-simplify]: Simplify 0 into 0
22.198 * [backup-simplify]: Simplify 1 into 1
22.199 * [taylor]: Taking taylor expansion of (sin phi2) in phi1
22.199 * [taylor]: Taking taylor expansion of phi2 in phi1
22.199 * [backup-simplify]: Simplify phi2 into phi2
22.199 * [backup-simplify]: Simplify (sin phi2) into (sin phi2)
22.199 * [backup-simplify]: Simplify (cos phi2) into (cos phi2)
22.199 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1
22.199 * [taylor]: Taking taylor expansion of (sin phi1) in phi1
22.199 * [taylor]: Taking taylor expansion of phi1 in phi1
22.199 * [backup-simplify]: Simplify 0 into 0
22.199 * [backup-simplify]: Simplify 1 into 1
22.199 * [taylor]: Taking taylor expansion of (sin phi2) in phi1
22.199 * [taylor]: Taking taylor expansion of phi2 in phi1
22.199 * [backup-simplify]: Simplify phi2 into phi2
22.199 * [backup-simplify]: Simplify (sin phi2) into (sin phi2)
22.199 * [backup-simplify]: Simplify (cos phi2) into (cos phi2)
22.199 * [backup-simplify]: Simplify (* (sin phi2) 1) into (sin phi2)
22.199 * [backup-simplify]: Simplify (* (cos phi2) 0) into 0
22.199 * [backup-simplify]: Simplify (+ (sin phi2) 0) into (sin phi2)
22.200 * [backup-simplify]: Simplify (* 0 (sin phi2)) into 0
22.200 * [taylor]: Taking taylor expansion of 0 in phi2
22.200 * [backup-simplify]: Simplify 0 into 0
22.200 * [backup-simplify]: Simplify 0 into 0
22.200 * [backup-simplify]: Simplify (+ 0) into 0
22.201 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (* 0 1)) into 0
22.201 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
22.202 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (* 0 0)) into 0
22.202 * [backup-simplify]: Simplify (+ 0 0) into 0
22.203 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
22.203 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin phi2))) into (sin phi2)
22.203 * [taylor]: Taking taylor expansion of (sin phi2) in phi2
22.203 * [taylor]: Taking taylor expansion of phi2 in phi2
22.203 * [backup-simplify]: Simplify 0 into 0
22.203 * [backup-simplify]: Simplify 1 into 1
22.203 * [backup-simplify]: Simplify 0 into 0
22.203 * [backup-simplify]: Simplify 0 into 0
22.204 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
22.205 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (* 0 1))) into 0
22.206 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
22.206 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (* 0 0))) into 0
22.207 * [backup-simplify]: Simplify (+ 0 0) into 0
22.208 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
22.208 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin phi2)))) into 0
22.208 * [taylor]: Taking taylor expansion of 0 in phi2
22.208 * [backup-simplify]: Simplify 0 into 0
22.209 * [backup-simplify]: Simplify 0 into 0
22.209 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
22.209 * [backup-simplify]: Simplify 1 into 1
22.209 * [backup-simplify]: Simplify 0 into 0
22.210 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
22.211 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
22.213 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
22.213 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
22.214 * [backup-simplify]: Simplify (+ 0 0) into 0
22.215 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
22.220 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* -1/6 (sin phi2))))) into (- (* 1/6 (sin phi2)))
22.220 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2
22.220 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2
22.220 * [taylor]: Taking taylor expansion of 1/6 in phi2
22.220 * [backup-simplify]: Simplify 1/6 into 1/6
22.220 * [taylor]: Taking taylor expansion of (sin phi2) in phi2
22.220 * [taylor]: Taking taylor expansion of phi2 in phi2
22.220 * [backup-simplify]: Simplify 0 into 0
22.220 * [backup-simplify]: Simplify 1 into 1
22.221 * [backup-simplify]: Simplify (* 1/6 0) into 0
22.221 * [backup-simplify]: Simplify (- 0) into 0
22.221 * [backup-simplify]: Simplify 0 into 0
22.221 * [backup-simplify]: Simplify 0 into 0
22.222 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
22.222 * [backup-simplify]: Simplify 0 into 0
22.222 * [backup-simplify]: Simplify 0 into 0
22.225 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0
22.226 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
22.227 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
22.228 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0
22.228 * [backup-simplify]: Simplify (+ 0 0) into 0
22.230 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
22.232 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* -1/6 0) (* 0 (sin phi2)))))) into 0
22.232 * [taylor]: Taking taylor expansion of 0 in phi2
22.232 * [backup-simplify]: Simplify 0 into 0
22.232 * [backup-simplify]: Simplify 0 into 0
22.232 * [backup-simplify]: Simplify (* 1 (* phi2 phi1)) into (* phi1 phi2)
22.232 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))
22.232 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in (phi1 phi2) around 0
22.232 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi2
22.232 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2
22.232 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2
22.232 * [taylor]: Taking taylor expansion of phi2 in phi2
22.232 * [backup-simplify]: Simplify 0 into 0
22.232 * [backup-simplify]: Simplify 1 into 1
22.233 * [backup-simplify]: Simplify (/ 1 1) into 1
22.233 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2))
22.233 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2
22.233 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2
22.233 * [taylor]: Taking taylor expansion of phi1 in phi2
22.233 * [backup-simplify]: Simplify phi1 into phi1
22.233 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
22.233 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1))
22.233 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1))
22.233 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi1
22.233 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1
22.233 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1
22.233 * [taylor]: Taking taylor expansion of phi2 in phi1
22.233 * [backup-simplify]: Simplify phi2 into phi2
22.233 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
22.233 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2))
22.233 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2))
22.233 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1
22.233 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1
22.233 * [taylor]: Taking taylor expansion of phi1 in phi1
22.233 * [backup-simplify]: Simplify 0 into 0
22.233 * [backup-simplify]: Simplify 1 into 1
22.234 * [backup-simplify]: Simplify (/ 1 1) into 1
22.234 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1))
22.234 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi1
22.234 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1
22.234 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1
22.234 * [taylor]: Taking taylor expansion of phi2 in phi1
22.234 * [backup-simplify]: Simplify phi2 into phi2
22.234 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
22.234 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2))
22.234 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2))
22.234 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1
22.234 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1
22.234 * [taylor]: Taking taylor expansion of phi1 in phi1
22.234 * [backup-simplify]: Simplify 0 into 0
22.235 * [backup-simplify]: Simplify 1 into 1
22.235 * [backup-simplify]: Simplify (/ 1 1) into 1
22.235 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1))
22.235 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) 1) into (sin (/ 1 phi2))
22.235 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) 0) into 0
22.235 * [backup-simplify]: Simplify (+ (sin (/ 1 phi2)) 0) into (sin (/ 1 phi2))
22.235 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))
22.235 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi2
22.235 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2
22.235 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2
22.235 * [taylor]: Taking taylor expansion of phi2 in phi2
22.235 * [backup-simplify]: Simplify 0 into 0
22.235 * [backup-simplify]: Simplify 1 into 1
22.235 * [backup-simplify]: Simplify (/ 1 1) into 1
22.236 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2))
22.236 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2
22.236 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2
22.236 * [taylor]: Taking taylor expansion of phi1 in phi2
22.236 * [backup-simplify]: Simplify phi1 into phi1
22.236 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
22.236 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1))
22.236 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1))
22.236 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) 1) into (sin (/ 1 phi1))
22.236 * [backup-simplify]: Simplify (* (cos (/ 1 phi1)) 0) into 0
22.236 * [backup-simplify]: Simplify (+ (sin (/ 1 phi1)) 0) into (sin (/ 1 phi1))
22.236 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))
22.236 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))
22.236 * [backup-simplify]: Simplify (+ 0) into 0
22.237 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 1)) into 0
22.237 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
22.237 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
22.237 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 0)) into 0
22.238 * [backup-simplify]: Simplify (+ 0 0) into 0
22.238 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 (sin (/ 1 phi1)))) into 0
22.238 * [taylor]: Taking taylor expansion of 0 in phi2
22.238 * [backup-simplify]: Simplify 0 into 0
22.238 * [backup-simplify]: Simplify 0 into 0
22.238 * [backup-simplify]: Simplify (+ 0) into 0
22.238 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 1)) into 0
22.238 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
22.239 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
22.239 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (* 0 0)) into 0
22.239 * [backup-simplify]: Simplify (+ 0 0) into 0
22.240 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 (sin (/ 1 phi1)))) into 0
22.240 * [backup-simplify]: Simplify 0 into 0
22.240 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
22.241 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0
22.241 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
22.241 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
22.241 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0
22.242 * [backup-simplify]: Simplify (+ 0 0) into 0
22.242 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1))))) into 0
22.242 * [taylor]: Taking taylor expansion of 0 in phi2
22.242 * [backup-simplify]: Simplify 0 into 0
22.242 * [backup-simplify]: Simplify 0 into 0
22.242 * [backup-simplify]: Simplify 0 into 0
22.243 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
22.243 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0
22.243 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0
22.244 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
22.244 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0
22.244 * [backup-simplify]: Simplify (+ 0 0) into 0
22.244 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1))))) into 0
22.245 * [backup-simplify]: Simplify 0 into 0
22.245 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
22.246 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
22.246 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
22.247 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
22.247 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
22.247 * [backup-simplify]: Simplify (+ 0 0) into 0
22.248 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1)))))) into 0
22.248 * [taylor]: Taking taylor expansion of 0 in phi2
22.248 * [backup-simplify]: Simplify 0 into 0
22.248 * [backup-simplify]: Simplify 0 into 0
22.248 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) into (* (sin phi1) (sin phi2))
22.248 * [backup-simplify]: Simplify (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))
22.248 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0
22.248 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2
22.248 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2
22.248 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2
22.248 * [taylor]: Taking taylor expansion of -1 in phi2
22.248 * [backup-simplify]: Simplify -1 into -1
22.248 * [taylor]: Taking taylor expansion of phi1 in phi2
22.248 * [backup-simplify]: Simplify phi1 into phi1
22.248 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1)
22.248 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1))
22.248 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1))
22.248 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2
22.249 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2
22.249 * [taylor]: Taking taylor expansion of -1 in phi2
22.249 * [backup-simplify]: Simplify -1 into -1
22.249 * [taylor]: Taking taylor expansion of phi2 in phi2
22.249 * [backup-simplify]: Simplify 0 into 0
22.249 * [backup-simplify]: Simplify 1 into 1
22.249 * [backup-simplify]: Simplify (/ -1 1) into -1
22.249 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2))
22.249 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1
22.249 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1
22.249 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1
22.249 * [taylor]: Taking taylor expansion of -1 in phi1
22.249 * [backup-simplify]: Simplify -1 into -1
22.249 * [taylor]: Taking taylor expansion of phi1 in phi1
22.249 * [backup-simplify]: Simplify 0 into 0
22.249 * [backup-simplify]: Simplify 1 into 1
22.250 * [backup-simplify]: Simplify (/ -1 1) into -1
22.250 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1))
22.250 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1
22.250 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1
22.250 * [taylor]: Taking taylor expansion of -1 in phi1
22.250 * [backup-simplify]: Simplify -1 into -1
22.250 * [taylor]: Taking taylor expansion of phi2 in phi1
22.250 * [backup-simplify]: Simplify phi2 into phi2
22.250 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2)
22.250 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2))
22.250 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2))
22.250 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1
22.250 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1
22.250 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1
22.250 * [taylor]: Taking taylor expansion of -1 in phi1
22.250 * [backup-simplify]: Simplify -1 into -1
22.250 * [taylor]: Taking taylor expansion of phi1 in phi1
22.250 * [backup-simplify]: Simplify 0 into 0
22.250 * [backup-simplify]: Simplify 1 into 1
22.250 * [backup-simplify]: Simplify (/ -1 1) into -1
22.250 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1))
22.250 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1
22.250 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1
22.250 * [taylor]: Taking taylor expansion of -1 in phi1
22.250 * [backup-simplify]: Simplify -1 into -1
22.250 * [taylor]: Taking taylor expansion of phi2 in phi1
22.250 * [backup-simplify]: Simplify phi2 into phi2
22.250 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2)
22.250 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2))
22.250 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2))
22.251 * [backup-simplify]: Simplify (* (sin (/ -1 phi2)) 1) into (sin (/ -1 phi2))
22.251 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) 0) into 0
22.251 * [backup-simplify]: Simplify (+ (sin (/ -1 phi2)) 0) into (sin (/ -1 phi2))
22.251 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))
22.251 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2
22.251 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2
22.251 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2
22.251 * [taylor]: Taking taylor expansion of -1 in phi2
22.251 * [backup-simplify]: Simplify -1 into -1
22.251 * [taylor]: Taking taylor expansion of phi1 in phi2
22.251 * [backup-simplify]: Simplify phi1 into phi1
22.251 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1)
22.251 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1))
22.251 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1))
22.251 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2
22.251 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2
22.251 * [taylor]: Taking taylor expansion of -1 in phi2
22.251 * [backup-simplify]: Simplify -1 into -1
22.251 * [taylor]: Taking taylor expansion of phi2 in phi2
22.251 * [backup-simplify]: Simplify 0 into 0
22.251 * [backup-simplify]: Simplify 1 into 1
22.251 * [backup-simplify]: Simplify (/ -1 1) into -1
22.251 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2))
22.252 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) 1) into (sin (/ -1 phi1))
22.252 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) 0) into 0
22.252 * [backup-simplify]: Simplify (+ (sin (/ -1 phi1)) 0) into (sin (/ -1 phi1))
22.252 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))
22.252 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))
22.252 * [backup-simplify]: Simplify (+ 0) into 0
22.252 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (* 0 1)) into 0
22.252 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)))) into 0
22.253 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
22.253 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 0)) into 0
22.254 * [backup-simplify]: Simplify (+ 0 0) into 0
22.254 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) into 0
22.254 * [taylor]: Taking taylor expansion of 0 in phi2
22.254 * [backup-simplify]: Simplify 0 into 0
22.254 * [backup-simplify]: Simplify 0 into 0
22.254 * [backup-simplify]: Simplify (+ 0) into 0
22.254 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 1)) into 0
22.255 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)))) into 0
22.255 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
22.255 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 0)) into 0
22.256 * [backup-simplify]: Simplify (+ 0 0) into 0
22.256 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) into 0
22.256 * [backup-simplify]: Simplify 0 into 0
22.256 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
22.257 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0
22.257 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
22.257 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
22.258 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0
22.258 * [backup-simplify]: Simplify (+ 0 0) into 0
22.258 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0
22.258 * [taylor]: Taking taylor expansion of 0 in phi2
22.258 * [backup-simplify]: Simplify 0 into 0
22.258 * [backup-simplify]: Simplify 0 into 0
22.258 * [backup-simplify]: Simplify 0 into 0
22.259 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
22.259 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0
22.259 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0
22.260 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
22.260 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0
22.260 * [backup-simplify]: Simplify (+ 0 0) into 0
22.261 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0
22.261 * [backup-simplify]: Simplify 0 into 0
22.261 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
22.262 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
22.262 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
22.263 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
22.263 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
22.263 * [backup-simplify]: Simplify (+ 0 0) into 0
22.264 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2)))))) into 0
22.264 * [taylor]: Taking taylor expansion of 0 in phi2
22.264 * [backup-simplify]: Simplify 0 into 0
22.264 * [backup-simplify]: Simplify 0 into 0
22.264 * [backup-simplify]: Simplify (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) into (* (sin phi1) (sin phi2))
22.264 * * * [progress]: simplifying candidates
22.264 * * * * [progress]: [ 1 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (/ (exp (/ PI 2)) (exp (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))))) R))>
22.264 * [simplify]: Simplifying (/ (exp (/ PI 2)) (exp (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))))
22.265 * * [simplify]: iters left: 6 (26 enodes)
22.270 * * [simplify]: iters left: 5 (97 enodes)
22.287 * * [simplify]: iters left: 4 (157 enodes)
22.344 * * [simplify]: iters left: 3 (293 enodes)
22.441 * * [simplify]: iters left: 2 (425 enodes)
22.540 * * [simplify]: iters left: 1 (460 enodes)
22.607 * * [simplify]: Extracting #0: cost 1 inf + 0
22.607 * * [simplify]: Extracting #1: cost 9 inf + 0
22.608 * * [simplify]: Extracting #2: cost 16 inf + 1
22.608 * * [simplify]: Extracting #3: cost 23 inf + 1
22.608 * * [simplify]: Extracting #4: cost 28 inf + 74
22.608 * * [simplify]: Extracting #5: cost 60 inf + 451
22.609 * * [simplify]: Extracting #6: cost 94 inf + 451
22.610 * * [simplify]: Extracting #7: cost 75 inf + 1673
22.615 * * [simplify]: Extracting #8: cost 38 inf + 9860
22.618 * * [simplify]: Extracting #9: cost 16 inf + 18271
22.622 * * [simplify]: Extracting #10: cost 12 inf + 21407
22.626 * * [simplify]: Extracting #11: cost 2 inf + 31077
22.632 * * [simplify]: Extracting #12: cost 0 inf + 33005
22.637 * [simplify]: Simplified to (exp (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))))))))
22.637 * [simplify]: Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))))))))) R))
22.637 * * * * [progress]: [ 2 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (pow (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) 1) R))>
22.637 * * * * [progress]: [ 3 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (exp (log (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))))) R))>
22.637 * * * * [progress]: [ 4 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))))) R))>
22.637 * * * * [progress]: [ 5 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (* (cbrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))))) (cbrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))))) (cbrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))))) R))>
22.637 * * * * [progress]: [ 6 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (cbrt (* (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))))) (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))))) R))>
22.637 * * * * [progress]: [ 7 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))))) (sqrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))))) R))>
22.637 * * * * [progress]: [ 8 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (- (pow (/ PI 2) 3) (pow (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))) 3)) (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) (* (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))))))) R))>
22.637 * * * * [progress]: [ 9 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (+ (/ PI 2) (- (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))))) R))>
22.637 * * * * [progress]: [ 10 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* 1 (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))))) R))>
22.637 * * * * [progress]: [ 11 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (- (* (/ PI 2) (/ PI 2)) (* (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))))) (+ (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))))) R))>
22.637 * * * * [progress]: [ 12 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (+ (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))))) (- (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))))) R))>
22.638 * [simplify]: Simplifying (+ (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))))
22.638 * * [simplify]: iters left: 6 (26 enodes)
22.644 * * [simplify]: iters left: 5 (94 enodes)
22.664 * * [simplify]: iters left: 4 (148 enodes)
22.689 * * [simplify]: iters left: 3 (279 enodes)
22.777 * * [simplify]: iters left: 2 (415 enodes)
22.880 * * [simplify]: iters left: 1 (474 enodes)
22.996 * * [simplify]: Extracting #0: cost 1 inf + 0
22.996 * * [simplify]: Extracting #1: cost 4 inf + 0
22.996 * * [simplify]: Extracting #2: cost 8 inf + 0
22.996 * * [simplify]: Extracting #3: cost 13 inf + 0
22.996 * * [simplify]: Extracting #4: cost 20 inf + 2
22.997 * * [simplify]: Extracting #5: cost 55 inf + 168
22.997 * * [simplify]: Extracting #6: cost 88 inf + 250
22.998 * * [simplify]: Extracting #7: cost 73 inf + 1228
23.002 * * [simplify]: Extracting #8: cost 26 inf + 12340
23.009 * * [simplify]: Extracting #9: cost 6 inf + 21416
23.018 * * [simplify]: Extracting #10: cost 1 inf + 25353
23.027 * * [simplify]: Extracting #11: cost 0 inf + 26224
23.035 * * [simplify]: Extracting #12: cost 0 inf + 26144
23.044 * [simplify]: Simplified to (+ (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi2) (sin phi1)) (* (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (cos phi1)) (cos phi2))))))
23.044 * [simplify]: Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (+ (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi2) (sin phi1)) (* (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (cos phi1)) (cos phi2)))))) (- (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))))) R))
23.044 * [simplify]: Simplifying (- (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))))
23.045 * * [simplify]: iters left: 6 (26 enodes)
23.056 * * [simplify]: iters left: 5 (95 enodes)
23.084 * * [simplify]: iters left: 4 (152 enodes)
23.116 * * [simplify]: iters left: 3 (283 enodes)
23.193 * * [simplify]: iters left: 2 (415 enodes)
23.283 * * [simplify]: iters left: 1 (457 enodes)
23.366 * * [simplify]: Extracting #0: cost 1 inf + 0
23.366 * * [simplify]: Extracting #1: cost 5 inf + 0
23.366 * * [simplify]: Extracting #2: cost 10 inf + 0
23.366 * * [simplify]: Extracting #3: cost 15 inf + 0
23.366 * * [simplify]: Extracting #4: cost 21 inf + 2
23.366 * * [simplify]: Extracting #5: cost 56 inf + 126
23.366 * * [simplify]: Extracting #6: cost 88 inf + 250
23.367 * * [simplify]: Extracting #7: cost 73 inf + 1329
23.368 * * [simplify]: Extracting #8: cost 32 inf + 9480
23.372 * * [simplify]: Extracting #9: cost 10 inf + 18070
23.376 * * [simplify]: Extracting #10: cost 5 inf + 22045
23.380 * * [simplify]: Extracting #11: cost 2 inf + 24934
23.384 * * [simplify]: Extracting #12: cost 0 inf + 26914
23.388 * [simplify]: Simplified to (- (sqrt (/ PI 2)) (sqrt (asin (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))))
23.388 * [simplify]: Simplified (2 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (+ (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))))) (- (sqrt (/ PI 2)) (sqrt (asin (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))))) R))
23.388 * * * * [progress]: [ 13 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (+ (/ (sqrt PI) (sqrt 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))))) (- (/ (sqrt PI) (sqrt 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))))) R))>
23.389 * [simplify]: Simplifying (+ (/ (sqrt PI) (sqrt 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))))
23.389 * * [simplify]: iters left: 6 (27 enodes)
23.394 * * [simplify]: iters left: 5 (97 enodes)
23.409 * * [simplify]: iters left: 4 (151 enodes)
23.442 * * [simplify]: iters left: 3 (282 enodes)
23.541 * * [simplify]: iters left: 2 (407 enodes)
23.674 * * [simplify]: iters left: 1 (433 enodes)
23.721 * * [simplify]: Extracting #0: cost 1 inf + 0
23.721 * * [simplify]: Extracting #1: cost 4 inf + 0
23.722 * * [simplify]: Extracting #2: cost 9 inf + 0
23.722 * * [simplify]: Extracting #3: cost 15 inf + 0
23.722 * * [simplify]: Extracting #4: cost 20 inf + 43
23.722 * * [simplify]: Extracting #5: cost 54 inf + 166
23.722 * * [simplify]: Extracting #6: cost 86 inf + 410
23.722 * * [simplify]: Extracting #7: cost 72 inf + 1226
23.724 * * [simplify]: Extracting #8: cost 39 inf + 6974
23.726 * * [simplify]: Extracting #9: cost 11 inf + 17043
23.730 * * [simplify]: Extracting #10: cost 3 inf + 22205
23.734 * * [simplify]: Extracting #11: cost 0 inf + 25256
23.738 * [simplify]: Simplified to (+ (/ (sqrt PI) (sqrt 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (* (cos phi1) (cos phi2)))))))
23.738 * [simplify]: Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (+ (/ (sqrt PI) (sqrt 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (* (cos phi1) (cos phi2))))))) (- (/ (sqrt PI) (sqrt 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))))) R))
23.739 * [simplify]: Simplifying (- (/ (sqrt PI) (sqrt 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))))
23.739 * * [simplify]: iters left: 6 (27 enodes)
23.747 * * [simplify]: iters left: 5 (98 enodes)
23.774 * * [simplify]: iters left: 4 (155 enodes)
23.802 * * [simplify]: iters left: 3 (286 enodes)
23.888 * * [simplify]: iters left: 2 (413 enodes)
24.002 * * [simplify]: iters left: 1 (451 enodes)
24.056 * * [simplify]: Extracting #0: cost 1 inf + 0
24.056 * * [simplify]: Extracting #1: cost 5 inf + 0
24.056 * * [simplify]: Extracting #2: cost 11 inf + 0
24.056 * * [simplify]: Extracting #3: cost 17 inf + 0
24.056 * * [simplify]: Extracting #4: cost 23 inf + 43
24.056 * * [simplify]: Extracting #5: cost 59 inf + 125
24.057 * * [simplify]: Extracting #6: cost 90 inf + 410
24.057 * * [simplify]: Extracting #7: cost 76 inf + 1327
24.058 * * [simplify]: Extracting #8: cost 36 inf + 8813
24.061 * * [simplify]: Extracting #9: cost 13 inf + 18373
24.065 * * [simplify]: Extracting #10: cost 5 inf + 23333
24.069 * * [simplify]: Extracting #11: cost 2 inf + 26262
24.074 * * [simplify]: Extracting #12: cost 0 inf + 28282
24.078 * [simplify]: Simplified to (- (/ (sqrt PI) (sqrt 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (* (cos phi1) (cos phi2)))))))
24.078 * [simplify]: Simplified (2 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (+ (/ (sqrt PI) (sqrt 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))))) (- (/ (sqrt PI) (sqrt 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (* (cos phi1) (cos phi2)))))))) R))
24.079 * * * * [progress]: [ 14 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* 1 (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))))) R))>
24.079 * [simplify]: Simplifying (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))))
24.079 * * [simplify]: iters left: 6 (24 enodes)
24.086 * * [simplify]: iters left: 5 (89 enodes)
24.107 * * [simplify]: iters left: 4 (146 enodes)
24.132 * * [simplify]: iters left: 3 (277 enodes)
24.187 * * [simplify]: iters left: 2 (407 enodes)
24.291 * * [simplify]: iters left: 1 (436 enodes)
24.350 * * [simplify]: Extracting #0: cost 1 inf + 0
24.350 * * [simplify]: Extracting #1: cost 5 inf + 0
24.350 * * [simplify]: Extracting #2: cost 11 inf + 0
24.350 * * [simplify]: Extracting #3: cost 16 inf + 2
24.350 * * [simplify]: Extracting #4: cost 50 inf + 86
24.351 * * [simplify]: Extracting #5: cost 84 inf + 86
24.351 * * [simplify]: Extracting #6: cost 66 inf + 1247
24.354 * * [simplify]: Extracting #7: cost 34 inf + 7239
24.359 * * [simplify]: Extracting #8: cost 10 inf + 15610
24.366 * * [simplify]: Extracting #9: cost 4 inf + 19989
24.374 * * [simplify]: Extracting #10: cost 1 inf + 22613
24.381 * * [simplify]: Extracting #11: cost 0 inf + 23564
24.389 * [simplify]: Simplified to (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))
24.389 * [simplify]: Simplified (2 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* 1 (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) R))
24.389 * * * * [progress]: [ 15 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (+ (- (/ PI 2) (/ PI 2)) (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) R))>
24.390 * [simplify]: Simplifying (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))
24.390 * * [simplify]: iters left: 6 (20 enodes)
24.398 * * [simplify]: iters left: 5 (75 enodes)
24.421 * * [simplify]: iters left: 4 (129 enodes)
24.467 * * [simplify]: iters left: 3 (260 enodes)
24.560 * * [simplify]: iters left: 2 (387 enodes)
24.651 * * [simplify]: iters left: 1 (413 enodes)
24.752 * * [simplify]: Extracting #0: cost 1 inf + 0
24.752 * * [simplify]: Extracting #1: cost 3 inf + 0
24.753 * * [simplify]: Extracting #2: cost 12 inf + 0
24.753 * * [simplify]: Extracting #3: cost 50 inf + 0
24.753 * * [simplify]: Extracting #4: cost 84 inf + 0
24.754 * * [simplify]: Extracting #5: cost 72 inf + 492
24.756 * * [simplify]: Extracting #6: cost 39 inf + 6943
24.761 * * [simplify]: Extracting #7: cost 8 inf + 16593
24.768 * * [simplify]: Extracting #8: cost 2 inf + 20276
24.776 * * [simplify]: Extracting #9: cost 0 inf + 21984
24.783 * [simplify]: Simplified to (acos (+ (* (cos phi2) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1))) (* (sin phi2) (sin phi1))))
24.783 * [simplify]: Simplified (2 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (+ (- (/ PI 2) (/ PI 2)) (acos (+ (* (cos phi2) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1))) (* (sin phi2) (sin phi1))))) R))
24.783 * * * * [progress]: [ 16 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (+ (/ PI 2) (- (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))))) R))>
24.784 * * * * [progress]: [ 17 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (posit16->real (real->posit16 (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))))) R))>
24.784 * * * * [progress]: [ 18 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (- (/ PI 2) (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))))) R))>
24.784 * * * * [progress]: [ 19 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (pow (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))) 1)) R))>
24.784 * * * * [progress]: [ 20 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (exp (log (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))))) R))>
24.784 * * * * [progress]: [ 21 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (log (exp (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))))) R))>
24.784 * * * * [progress]: [ 22 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (* (* (cbrt (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) (cbrt (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))))) (cbrt (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))))) R))>
24.784 * * * * [progress]: [ 23 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (cbrt (* (* (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))))) R))>
24.784 * * * * [progress]: [ 24 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (* (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))))) R))>
24.784 * * * * [progress]: [ 25 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (* 1 (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))))) R))>
24.784 * * * * [progress]: [ 26 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (posit16->real (real->posit16 (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))))) R))>
24.784 * * * * [progress]: [ 27 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (pow (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) R) 1))>
24.785 * [simplify]: Simplifying (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) R)
24.785 * * [simplify]: iters left: 6 (26 enodes)
24.792 * * [simplify]: iters left: 5 (96 enodes)
24.809 * * [simplify]: iters left: 4 (159 enodes)
24.836 * * [simplify]: iters left: 3 (308 enodes)
24.919 * * [simplify]: iters left: 2 (457 enodes)
25.004 * * [simplify]: Extracting #0: cost 1 inf + 0
25.004 * * [simplify]: Extracting #1: cost 7 inf + 0
25.004 * * [simplify]: Extracting #2: cost 20 inf + 1
25.005 * * [simplify]: Extracting #3: cost 24 inf + 86
25.005 * * [simplify]: Extracting #4: cost 24 inf + 504
25.005 * * [simplify]: Extracting #5: cost 59 inf + 629
25.006 * * [simplify]: Extracting #6: cost 93 inf + 629
25.006 * * [simplify]: Extracting #7: cost 76 inf + 1628
25.007 * * [simplify]: Extracting #8: cost 40 inf + 9171
25.011 * * [simplify]: Extracting #9: cost 9 inf + 23580
25.017 * * [simplify]: Extracting #10: cost 0 inf + 31543
25.023 * [simplify]: Simplified to (* R (- (/ PI 2) (asin (+ (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1))))))
25.024 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (pow (* R (- (/ PI 2) (asin (+ (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1)))))) 1))
25.024 * * * * [progress]: [ 28 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (pow (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) R) 1))>
25.024 * * * * [progress]: [ 29 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (exp (+ (log (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))))) (log R))))>
25.024 * [simplify]: Simplifying (+ (log (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))))) (log R))
25.024 * * [simplify]: iters left: 6 (28 enodes)
25.030 * * [simplify]: iters left: 5 (102 enodes)
25.046 * * [simplify]: iters left: 4 (159 enodes)
25.087 * * [simplify]: iters left: 3 (290 enodes)
25.173 * * [simplify]: iters left: 2 (415 enodes)
25.258 * * [simplify]: iters left: 1 (437 enodes)
25.328 * * [simplify]: Extracting #0: cost 1 inf + 0
25.328 * * [simplify]: Extracting #1: cost 4 inf + 0
25.328 * * [simplify]: Extracting #2: cost 8 inf + 0
25.329 * * [simplify]: Extracting #3: cost 9 inf + 143
25.329 * * [simplify]: Extracting #4: cost 15 inf + 143
25.329 * * [simplify]: Extracting #5: cost 22 inf + 145
25.329 * * [simplify]: Extracting #6: cost 58 inf + 229
25.329 * * [simplify]: Extracting #7: cost 92 inf + 229
25.330 * * [simplify]: Extracting #8: cost 71 inf + 1674
25.331 * * [simplify]: Extracting #9: cost 33 inf + 9783
25.334 * * [simplify]: Extracting #10: cost 13 inf + 19059
25.338 * * [simplify]: Extracting #11: cost 5 inf + 25124
25.343 * * [simplify]: Extracting #12: cost 0 inf + 30269
25.349 * [simplify]: Simplified to (+ (log (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) (log R))
25.349 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (exp (+ (log (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) (log R))))
25.349 * * * * [progress]: [ 30 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (exp (log (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) R))))>
25.349 * * * * [progress]: [ 31 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (log (exp (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) R))))>
25.350 * * * * [progress]: [ 32 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (cbrt (* (* (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))))) (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))))) (* (* R R) R))))>
25.350 * [simplify]: Simplifying (* (* (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))))) (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))))) (* (* R R) R))
25.350 * * [simplify]: iters left: 6 (30 enodes)
25.361 * * [simplify]: iters left: 5 (114 enodes)
25.381 * * [simplify]: iters left: 4 (212 enodes)
25.431 * * [simplify]: Extracting #0: cost 1 inf + 0
25.431 * * [simplify]: Extracting #1: cost 28 inf + 0
25.431 * * [simplify]: Extracting #2: cost 67 inf + 1
25.432 * * [simplify]: Extracting #3: cost 94 inf + 165
25.432 * * [simplify]: Extracting #4: cost 96 inf + 536
25.433 * * [simplify]: Extracting #5: cost 151 inf + 953
25.433 * * [simplify]: Extracting #6: cost 175 inf + 953
25.434 * * [simplify]: Extracting #7: cost 148 inf + 3875
25.439 * * [simplify]: Extracting #8: cost 105 inf + 14684
25.448 * * [simplify]: Extracting #9: cost 82 inf + 24964
25.457 * * [simplify]: Extracting #10: cost 45 inf + 63494
25.476 * * [simplify]: Extracting #11: cost 5 inf + 106832
25.498 * * [simplify]: Extracting #12: cost 0 inf + 111990
25.519 * * [simplify]: Extracting #13: cost 0 inf + 111910
25.547 * [simplify]: Simplified to (* (* (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) R) (* (* (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) R) (* (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) R)))
25.547 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (cbrt (* (* (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) R) (* (* (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) R) (* (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) R)))))
25.547 * * * * [progress]: [ 33 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) R)) (cbrt (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) R))) (cbrt (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) R))))>
25.547 * * * * [progress]: [ 34 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (cbrt (* (* (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) R) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) R)) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) R))))>
25.547 * * * * [progress]: [ 35 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) R)) (sqrt (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) R))))>
25.547 * * * * [progress]: [ 36 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* 1 (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) R)))>
25.547 * * * * [progress]: [ 37 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))))) (sqrt R)) (* (sqrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))))) (sqrt R))))>
25.548 * [simplify]: Simplifying (* (sqrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))))) (sqrt R))
25.548 * * [simplify]: iters left: 6 (28 enodes)
25.559 * * [simplify]: iters left: 5 (102 enodes)
25.574 * * [simplify]: iters left: 4 (159 enodes)
25.602 * * [simplify]: iters left: 3 (290 enodes)
25.685 * * [simplify]: iters left: 2 (415 enodes)
25.757 * * [simplify]: iters left: 1 (437 enodes)
25.824 * * [simplify]: Extracting #0: cost 1 inf + 0
25.824 * * [simplify]: Extracting #1: cost 4 inf + 0
25.824 * * [simplify]: Extracting #2: cost 8 inf + 0
25.824 * * [simplify]: Extracting #3: cost 9 inf + 83
25.824 * * [simplify]: Extracting #4: cost 15 inf + 83
25.824 * * [simplify]: Extracting #5: cost 22 inf + 85
25.824 * * [simplify]: Extracting #6: cost 58 inf + 169
25.825 * * [simplify]: Extracting #7: cost 92 inf + 169
25.826 * * [simplify]: Extracting #8: cost 71 inf + 1614
25.828 * * [simplify]: Extracting #9: cost 33 inf + 9723
25.831 * * [simplify]: Extracting #10: cost 13 inf + 18999
25.835 * * [simplify]: Extracting #11: cost 5 inf + 25034
25.839 * * [simplify]: Extracting #12: cost 0 inf + 30029
25.844 * [simplify]: Simplified to (* (sqrt (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) (sqrt R))
25.844 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) (sqrt R)) (* (sqrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))))) (sqrt R))))
25.845 * [simplify]: Simplifying (* (sqrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))))) (sqrt R))
25.845 * * [simplify]: iters left: 6 (28 enodes)
25.850 * * [simplify]: iters left: 5 (102 enodes)
25.867 * * [simplify]: iters left: 4 (159 enodes)
25.912 * * [simplify]: iters left: 3 (290 enodes)
26.007 * * [simplify]: iters left: 2 (415 enodes)
26.109 * * [simplify]: iters left: 1 (437 enodes)
26.179 * * [simplify]: Extracting #0: cost 1 inf + 0
26.179 * * [simplify]: Extracting #1: cost 4 inf + 0
26.179 * * [simplify]: Extracting #2: cost 8 inf + 0
26.179 * * [simplify]: Extracting #3: cost 9 inf + 83
26.179 * * [simplify]: Extracting #4: cost 15 inf + 83
26.179 * * [simplify]: Extracting #5: cost 22 inf + 85
26.179 * * [simplify]: Extracting #6: cost 58 inf + 169
26.180 * * [simplify]: Extracting #7: cost 92 inf + 169
26.181 * * [simplify]: Extracting #8: cost 71 inf + 1614
26.183 * * [simplify]: Extracting #9: cost 33 inf + 9723
26.190 * * [simplify]: Extracting #10: cost 13 inf + 18999
26.198 * * [simplify]: Extracting #11: cost 5 inf + 25034
26.207 * * [simplify]: Extracting #12: cost 0 inf + 30029
26.215 * [simplify]: Simplified to (* (sqrt (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) (sqrt R))
26.215 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))))) (sqrt R)) (* (sqrt (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) (sqrt R))))
26.216 * * * * [progress]: [ 38 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) (* (cbrt R) (cbrt R))) (cbrt R)))>
26.216 * [simplify]: Simplifying (cbrt R)
26.216 * * [simplify]: iters left: 1 (2 enodes)
26.216 * * [simplify]: Extracting #0: cost 1 inf + 0
26.216 * * [simplify]: Extracting #1: cost 3 inf + 0
26.217 * * [simplify]: Extracting #2: cost 2 inf + 1
26.217 * * [simplify]: Extracting #3: cost 0 inf + 163
26.217 * [simplify]: Simplified to (cbrt R)
26.217 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) (* (cbrt R) (cbrt R))) (cbrt R)))
26.217 * * * * [progress]: [ 39 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) (sqrt R)) (sqrt R)))>
26.217 * [simplify]: Simplifying (sqrt R)
26.217 * * [simplify]: iters left: 1 (2 enodes)
26.217 * * [simplify]: Extracting #0: cost 1 inf + 0
26.217 * * [simplify]: Extracting #1: cost 3 inf + 0
26.217 * * [simplify]: Extracting #2: cost 2 inf + 1
26.217 * * [simplify]: Extracting #3: cost 0 inf + 83
26.218 * [simplify]: Simplified to (sqrt R)
26.218 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) (sqrt R)) (sqrt R)))
26.218 * * * * [progress]: [ 40 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) 1) R))>
26.218 * * * * [progress]: [ 41 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))))) (cbrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))))) (* (cbrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))))) R)))>
26.218 * [simplify]: Simplifying (* (cbrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))))) (cbrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))))))
26.218 * * [simplify]: iters left: 6 (26 enodes)
26.224 * * [simplify]: iters left: 5 (95 enodes)
26.238 * * [simplify]: iters left: 4 (152 enodes)
26.283 * * [simplify]: iters left: 3 (283 enodes)
26.394 * * [simplify]: iters left: 2 (411 enodes)
26.496 * * [simplify]: iters left: 1 (425 enodes)
26.554 * * [simplify]: Extracting #0: cost 1 inf + 0
26.554 * * [simplify]: Extracting #1: cost 3 inf + 0
26.554 * * [simplify]: Extracting #2: cost 5 inf + 0
26.554 * * [simplify]: Extracting #3: cost 9 inf + 0
26.554 * * [simplify]: Extracting #4: cost 15 inf + 0
26.554 * * [simplify]: Extracting #5: cost 21 inf + 2
26.555 * * [simplify]: Extracting #6: cost 57 inf + 44
26.555 * * [simplify]: Extracting #7: cost 90 inf + 86
26.556 * * [simplify]: Extracting #8: cost 72 inf + 1247
26.559 * * [simplify]: Extracting #9: cost 37 inf + 8727
26.565 * * [simplify]: Extracting #10: cost 10 inf + 19539
26.572 * * [simplify]: Extracting #11: cost 4 inf + 24814
26.577 * * [simplify]: Extracting #12: cost 0 inf + 28896
26.583 * [simplify]: Simplified to (* (cbrt (- (/ PI 2) (asin (+ (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1)))))) (cbrt (- (/ PI 2) (asin (+ (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1)))))))
26.583 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (- (/ PI 2) (asin (+ (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1)))))) (cbrt (- (/ PI 2) (asin (+ (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1))))))) (* (cbrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))))) R)))
26.583 * * * * [progress]: [ 42 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))))) (* (sqrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))))) R)))>
26.583 * [simplify]: Simplifying (sqrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))))
26.583 * * [simplify]: iters left: 6 (25 enodes)
26.589 * * [simplify]: iters left: 5 (92 enodes)
26.603 * * [simplify]: iters left: 4 (149 enodes)
26.654 * * [simplify]: iters left: 3 (280 enodes)
26.746 * * [simplify]: iters left: 2 (409 enodes)
26.840 * * [simplify]: iters left: 1 (456 enodes)
26.922 * * [simplify]: Extracting #0: cost 1 inf + 0
26.922 * * [simplify]: Extracting #1: cost 3 inf + 0
26.922 * * [simplify]: Extracting #2: cost 7 inf + 0
26.922 * * [simplify]: Extracting #3: cost 13 inf + 0
26.922 * * [simplify]: Extracting #4: cost 19 inf + 2
26.922 * * [simplify]: Extracting #5: cost 54 inf + 86
26.923 * * [simplify]: Extracting #6: cost 88 inf + 86
26.924 * * [simplify]: Extracting #7: cost 71 inf + 1186
26.926 * * [simplify]: Extracting #8: cost 35 inf + 9112
26.932 * * [simplify]: Extracting #9: cost 11 inf + 19156
26.940 * * [simplify]: Extracting #10: cost 2 inf + 25052
26.949 * * [simplify]: Extracting #11: cost 0 inf + 26834
26.958 * * [simplify]: Extracting #12: cost 0 inf + 26674
26.967 * [simplify]: Simplified to (sqrt (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))))
26.967 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) (* (sqrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))))) R)))
26.968 * * * * [progress]: [ 43 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* 1 (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) R)))>
26.968 * * * * [progress]: [ 44 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (+ (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))))) (* (- (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))))) R)))>
26.968 * [simplify]: Simplifying (+ (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))))
26.968 * * [simplify]: iters left: 6 (26 enodes)
26.980 * * [simplify]: iters left: 5 (94 enodes)
27.009 * * [simplify]: iters left: 4 (148 enodes)
27.034 * * [simplify]: iters left: 3 (279 enodes)
27.140 * * [simplify]: iters left: 2 (415 enodes)
27.238 * * [simplify]: iters left: 1 (474 enodes)
27.323 * * [simplify]: Extracting #0: cost 1 inf + 0
27.323 * * [simplify]: Extracting #1: cost 4 inf + 0
27.323 * * [simplify]: Extracting #2: cost 8 inf + 0
27.323 * * [simplify]: Extracting #3: cost 13 inf + 0
27.323 * * [simplify]: Extracting #4: cost 20 inf + 2
27.323 * * [simplify]: Extracting #5: cost 55 inf + 168
27.324 * * [simplify]: Extracting #6: cost 88 inf + 250
27.325 * * [simplify]: Extracting #7: cost 73 inf + 1228
27.328 * * [simplify]: Extracting #8: cost 26 inf + 12340
27.333 * * [simplify]: Extracting #9: cost 6 inf + 21416
27.337 * * [simplify]: Extracting #10: cost 1 inf + 25353
27.341 * * [simplify]: Extracting #11: cost 0 inf + 26224
27.349 * * [simplify]: Extracting #12: cost 0 inf + 26144
27.360 * [simplify]: Simplified to (+ (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi2) (sin phi1)) (* (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (cos phi1)) (cos phi2))))))
27.360 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (+ (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi2) (sin phi1)) (* (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (cos phi1)) (cos phi2)))))) (* (- (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))))) R)))
27.360 * * * * [progress]: [ 45 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (+ (/ (sqrt PI) (sqrt 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))))) (* (- (/ (sqrt PI) (sqrt 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))))) R)))>
27.360 * [simplify]: Simplifying (+ (/ (sqrt PI) (sqrt 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))))
27.361 * * [simplify]: iters left: 6 (27 enodes)
27.373 * * [simplify]: iters left: 5 (97 enodes)
27.397 * * [simplify]: iters left: 4 (151 enodes)
27.428 * * [simplify]: iters left: 3 (282 enodes)
27.498 * * [simplify]: iters left: 2 (407 enodes)
27.585 * * [simplify]: iters left: 1 (433 enodes)
27.645 * * [simplify]: Extracting #0: cost 1 inf + 0
27.645 * * [simplify]: Extracting #1: cost 4 inf + 0
27.645 * * [simplify]: Extracting #2: cost 9 inf + 0
27.645 * * [simplify]: Extracting #3: cost 15 inf + 0
27.645 * * [simplify]: Extracting #4: cost 20 inf + 43
27.645 * * [simplify]: Extracting #5: cost 54 inf + 166
27.646 * * [simplify]: Extracting #6: cost 86 inf + 410
27.647 * * [simplify]: Extracting #7: cost 72 inf + 1226
27.648 * * [simplify]: Extracting #8: cost 39 inf + 6974
27.650 * * [simplify]: Extracting #9: cost 11 inf + 17043
27.654 * * [simplify]: Extracting #10: cost 3 inf + 22205
27.658 * * [simplify]: Extracting #11: cost 0 inf + 25256
27.663 * [simplify]: Simplified to (+ (/ (sqrt PI) (sqrt 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (* (cos phi1) (cos phi2)))))))
27.663 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (+ (/ (sqrt PI) (sqrt 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (* (cos phi1) (cos phi2))))))) (* (- (/ (sqrt PI) (sqrt 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))))) R)))
27.663 * * * * [progress]: [ 46 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* 1 (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) R)))>
27.663 * * * * [progress]: [ 47 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (/ (* (- (pow (/ PI 2) 3) (pow (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))) 3)) R) (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) (* (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))))))))>
27.663 * [simplify]: Simplifying (* (- (pow (/ PI 2) 3) (pow (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))) 3)) R)
27.664 * * [simplify]: iters left: 6 (29 enodes)
27.671 * * [simplify]: iters left: 5 (121 enodes)
27.695 * * [simplify]: iters left: 4 (238 enodes)
27.758 * * [simplify]: Extracting #0: cost 1 inf + 0
27.758 * * [simplify]: Extracting #1: cost 10 inf + 0
27.758 * * [simplify]: Extracting #2: cost 52 inf + 1
27.758 * * [simplify]: Extracting #3: cost 87 inf + 3
27.758 * * [simplify]: Extracting #4: cost 106 inf + 6
27.759 * * [simplify]: Extracting #5: cost 147 inf + 1798
27.760 * * [simplify]: Extracting #6: cost 143 inf + 6864
27.762 * * [simplify]: Extracting #7: cost 121 inf + 9168
27.765 * * [simplify]: Extracting #8: cost 71 inf + 20993
27.770 * * [simplify]: Extracting #9: cost 50 inf + 30665
27.779 * * [simplify]: Extracting #10: cost 32 inf + 48014
27.800 * * [simplify]: Extracting #11: cost 0 inf + 84193
27.819 * [simplify]: Simplified to (* R (- (/ (* PI PI) (/ 8 PI)) (* (* (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))))))) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))))))) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))))))))))
27.820 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (/ (* R (- (/ (* PI PI) (/ 8 PI)) (* (* (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))))))) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))))))) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))))))))) (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) (* (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))))))))
27.820 * * * * [progress]: [ 48 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (/ (* (- (* (/ PI 2) (/ PI 2)) (* (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))))) R) (+ (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))))))>
27.820 * [simplify]: Simplifying (* (- (* (/ PI 2) (/ PI 2)) (* (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))))) R)
27.820 * * [simplify]: iters left: 6 (28 enodes)
27.827 * * [simplify]: iters left: 5 (109 enodes)
27.844 * * [simplify]: iters left: 4 (194 enodes)
27.907 * * [simplify]: iters left: 3 (410 enodes)
28.027 * * [simplify]: Extracting #0: cost 1 inf + 0
28.027 * * [simplify]: Extracting #1: cost 25 inf + 0
28.027 * * [simplify]: Extracting #2: cost 74 inf + 1
28.028 * * [simplify]: Extracting #3: cost 104 inf + 86
28.029 * * [simplify]: Extracting #4: cost 99 inf + 1327
28.031 * * [simplify]: Extracting #5: cost 128 inf + 2562
28.033 * * [simplify]: Extracting #6: cost 162 inf + 2562
28.037 * * [simplify]: Extracting #7: cost 142 inf + 4047
28.041 * * [simplify]: Extracting #8: cost 108 inf + 12918
28.061 * * [simplify]: Extracting #9: cost 28 inf + 70305
28.100 * * [simplify]: Extracting #10: cost 1 inf + 95155
28.137 * * [simplify]: Extracting #11: cost 0 inf + 96227
28.174 * [simplify]: Simplified to (* (- (/ (* PI PI) 4) (* (asin (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) (asin (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))) R)
28.174 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (/ (* (- (/ (* PI PI) 4) (* (asin (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) (asin (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))) R) (+ (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))))))
28.175 * * * * [progress]: [ 49 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (posit16->real (real->posit16 (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) R))))>
28.175 * * * * [progress]: [ 50 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))))))>
28.175 * * * * [progress]: [ 51 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (/ (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) 2) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) R))>
28.175 * [simplify]: Simplifying (- (cos (- phi1 phi2)) (cos (+ phi1 phi2)))
28.175 * * [simplify]: iters left: 5 (7 enodes)
28.178 * * [simplify]: iters left: 4 (26 enodes)
28.185 * * [simplify]: iters left: 3 (32 enodes)
28.190 * * [simplify]: Extracting #0: cost 1 inf + 0
28.190 * * [simplify]: Extracting #1: cost 5 inf + 0
28.190 * * [simplify]: Extracting #2: cost 10 inf + 0
28.190 * * [simplify]: Extracting #3: cost 15 inf + 0
28.190 * * [simplify]: Extracting #4: cost 13 inf + 43
28.190 * * [simplify]: Extracting #5: cost 4 inf + 800
28.190 * * [simplify]: Extracting #6: cost 1 inf + 1186
28.191 * * [simplify]: Extracting #7: cost 0 inf + 1428
28.191 * [simplify]: Simplified to (- (cos (- phi1 phi2)) (cos (+ phi2 phi1)))
28.191 * [simplify]: Simplified (2 1 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (/ (- (cos (- phi1 phi2)) (cos (+ phi2 phi1))) 2) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) R))
28.191 * * * * [progress]: [ 52 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (pow (* (sin phi1) (sin phi2)) 1) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) R))>
28.191 * [simplify]: Simplifying (* (sin phi1) (sin phi2))
28.191 * * [simplify]: iters left: 3 (5 enodes)
28.192 * * [simplify]: iters left: 2 (16 enodes)
28.194 * * [simplify]: Extracting #0: cost 1 inf + 0
28.194 * * [simplify]: Extracting #1: cost 4 inf + 0
28.194 * * [simplify]: Extracting #2: cost 8 inf + 0
28.194 * * [simplify]: Extracting #3: cost 4 inf + 124
28.194 * * [simplify]: Extracting #4: cost 0 inf + 570
28.194 * [simplify]: Simplified to (* (sin phi2) (sin phi1))
28.195 * [simplify]: Simplified (2 1 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (pow (* (sin phi2) (sin phi1)) 1) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) R))
28.195 * * * * [progress]: [ 53 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (pow (* (sin phi1) (sin phi2)) 1) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) R))>
28.195 * * * * [progress]: [ 54 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (exp (+ (log (sin phi1)) (log (sin phi2)))) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) R))>
28.196 * [simplify]: Simplifying (+ (log (sin phi1)) (log (sin phi2)))
28.196 * * [simplify]: iters left: 4 (7 enodes)
28.197 * * [simplify]: iters left: 3 (22 enodes)
28.200 * * [simplify]: Extracting #0: cost 1 inf + 0
28.200 * * [simplify]: Extracting #1: cost 4 inf + 0
28.200 * * [simplify]: Extracting #2: cost 8 inf + 0
28.200 * * [simplify]: Extracting #3: cost 12 inf + 0
28.200 * * [simplify]: Extracting #4: cost 10 inf + 2
28.200 * * [simplify]: Extracting #5: cost 4 inf + 508
28.200 * * [simplify]: Extracting #6: cost 1 inf + 1072
28.200 * * [simplify]: Extracting #7: cost 0 inf + 1374
28.200 * [simplify]: Simplified to (+ (log (sin phi2)) (log (sin phi1)))
28.200 * [simplify]: Simplified (2 1 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (exp (+ (log (sin phi2)) (log (sin phi1)))) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) R))
28.201 * * * * [progress]: [ 55 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (exp (log (* (sin phi1) (sin phi2)))) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) R))>
28.201 * * * * [progress]: [ 56 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (log (exp (* (sin phi1) (sin phi2)))) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) R))>
28.201 * * * * [progress]: [ 57 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (cbrt (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2)))) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) R))>
28.201 * [simplify]: Simplifying (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2)))
28.201 * * [simplify]: iters left: 6 (9 enodes)
28.203 * * [simplify]: iters left: 5 (34 enodes)
28.208 * * [simplify]: iters left: 4 (63 enodes)
28.220 * * [simplify]: iters left: 3 (122 enodes)
28.259 * * [simplify]: iters left: 2 (196 enodes)
28.335 * * [simplify]: iters left: 1 (356 enodes)
28.485 * * [simplify]: Extracting #0: cost 1 inf + 0
28.485 * * [simplify]: Extracting #1: cost 70 inf + 0
28.486 * * [simplify]: Extracting #2: cost 169 inf + 1
28.488 * * [simplify]: Extracting #3: cost 154 inf + 2658
28.499 * * [simplify]: Extracting #4: cost 86 inf + 31524
28.513 * * [simplify]: Extracting #5: cost 7 inf + 77226
28.529 * * [simplify]: Extracting #6: cost 0 inf + 81813
28.545 * [simplify]: Simplified to (* (* (* (sin phi2) (sin phi1)) (* (sin phi2) (sin phi1))) (* (sin phi2) (sin phi1)))
28.545 * [simplify]: Simplified (2 1 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (cbrt (* (* (* (sin phi2) (sin phi1)) (* (sin phi2) (sin phi1))) (* (sin phi2) (sin phi1)))) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) R))
28.545 * * * * [progress]: [ 58 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2)))) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) R))>
28.545 * * * * [progress]: [ 59 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (cbrt (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2)))) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) R))>
28.545 * * * * [progress]: [ 60 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2)))) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) R))>
28.545 * * * * [progress]: [ 61 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* 1 (* (sin phi1) (sin phi2))) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) R))>
28.545 * * * * [progress]: [ 62 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2)))) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) R))>
28.546 * [simplify]: Simplifying (* (sqrt (sin phi1)) (sqrt (sin phi2)))
28.546 * * [simplify]: iters left: 4 (7 enodes)
28.549 * * [simplify]: iters left: 3 (22 enodes)
28.552 * * [simplify]: Extracting #0: cost 1 inf + 0
28.552 * * [simplify]: Extracting #1: cost 4 inf + 0
28.552 * * [simplify]: Extracting #2: cost 8 inf + 0
28.552 * * [simplify]: Extracting #3: cost 12 inf + 0
28.552 * * [simplify]: Extracting #4: cost 10 inf + 2
28.553 * * [simplify]: Extracting #5: cost 4 inf + 448
28.553 * * [simplify]: Extracting #6: cost 1 inf + 892
28.553 * * [simplify]: Extracting #7: cost 0 inf + 1134
28.553 * [simplify]: Simplified to (* (sqrt (sin phi1)) (sqrt (sin phi2)))
28.553 * [simplify]: Simplified (2 1 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2)))) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) R))
28.553 * [simplify]: Simplifying (* (sqrt (sin phi1)) (sqrt (sin phi2)))
28.553 * * [simplify]: iters left: 4 (7 enodes)
28.555 * * [simplify]: iters left: 3 (22 enodes)
28.558 * * [simplify]: Extracting #0: cost 1 inf + 0
28.558 * * [simplify]: Extracting #1: cost 4 inf + 0
28.558 * * [simplify]: Extracting #2: cost 8 inf + 0
28.558 * * [simplify]: Extracting #3: cost 12 inf + 0
28.558 * * [simplify]: Extracting #4: cost 10 inf + 2
28.558 * * [simplify]: Extracting #5: cost 4 inf + 448
28.558 * * [simplify]: Extracting #6: cost 1 inf + 892
28.558 * * [simplify]: Extracting #7: cost 0 inf + 1134
28.559 * [simplify]: Simplified to (* (sqrt (sin phi1)) (sqrt (sin phi2)))
28.559 * [simplify]: Simplified (2 1 2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2)))) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) R))
28.559 * * * * [progress]: [ 63 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (cbrt (sin phi2))) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) R))>
28.559 * [simplify]: Simplifying (cbrt (sin phi2))
28.559 * * [simplify]: iters left: 2 (3 enodes)
28.560 * * [simplify]: iters left: 1 (9 enodes)
28.561 * * [simplify]: Extracting #0: cost 1 inf + 0
28.561 * * [simplify]: Extracting #1: cost 3 inf + 0
28.561 * * [simplify]: Extracting #2: cost 5 inf + 0
28.561 * * [simplify]: Extracting #3: cost 4 inf + 1
28.561 * * [simplify]: Extracting #4: cost 0 inf + 405
28.561 * [simplify]: Simplified to (cbrt (sin phi2))
28.561 * [simplify]: Simplified (2 1 2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (cbrt (sin phi2))) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) R))
28.561 * * * * [progress]: [ 64 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (* (sin phi1) (sqrt (sin phi2))) (sqrt (sin phi2))) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) R))>
28.561 * [simplify]: Simplifying (sqrt (sin phi2))
28.561 * * [simplify]: iters left: 2 (3 enodes)
28.562 * * [simplify]: iters left: 1 (9 enodes)
28.563 * * [simplify]: Extracting #0: cost 1 inf + 0
28.563 * * [simplify]: Extracting #1: cost 3 inf + 0
28.563 * * [simplify]: Extracting #2: cost 5 inf + 0
28.563 * * [simplify]: Extracting #3: cost 4 inf + 1
28.563 * * [simplify]: Extracting #4: cost 0 inf + 325
28.563 * [simplify]: Simplified to (sqrt (sin phi2))
28.563 * [simplify]: Simplified (2 1 2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (* (sin phi1) (sqrt (sin phi2))) (sqrt (sin phi2))) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) R))
28.563 * * * * [progress]: [ 65 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (* (sin phi1) 1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) R))>
28.564 * [simplify]: Simplifying (sin phi2)
28.564 * * [simplify]: iters left: 1 (2 enodes)
28.564 * * [simplify]: Extracting #0: cost 1 inf + 0
28.564 * * [simplify]: Extracting #1: cost 3 inf + 0
28.564 * * [simplify]: Extracting #2: cost 2 inf + 1
28.564 * * [simplify]: Extracting #3: cost 0 inf + 123
28.564 * [simplify]: Simplified to (sin phi2)
28.564 * [simplify]: Simplified (2 1 2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (* (sin phi1) 1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) R))
28.564 * * * * [progress]: [ 66 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (* (cbrt (sin phi1)) (cbrt (sin phi1))) (* (cbrt (sin phi1)) (sin phi2))) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) R))>
28.564 * [simplify]: Simplifying (* (cbrt (sin phi1)) (cbrt (sin phi1)))
28.564 * * [simplify]: iters left: 4 (4 enodes)
28.565 * * [simplify]: iters left: 3 (12 enodes)
28.567 * * [simplify]: Extracting #0: cost 1 inf + 0
28.567 * * [simplify]: Extracting #1: cost 3 inf + 0
28.567 * * [simplify]: Extracting #2: cost 5 inf + 0
28.567 * * [simplify]: Extracting #3: cost 7 inf + 0
28.567 * * [simplify]: Extracting #4: cost 6 inf + 1
28.567 * * [simplify]: Extracting #5: cost 0 inf + 767
28.567 * [simplify]: Simplified to (* (cbrt (sin phi1)) (cbrt (sin phi1)))
28.567 * [simplify]: Simplified (2 1 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (* (cbrt (sin phi1)) (cbrt (sin phi1))) (* (cbrt (sin phi1)) (sin phi2))) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) R))
28.567 * * * * [progress]: [ 67 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (sqrt (sin phi1)) (* (sqrt (sin phi1)) (sin phi2))) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) R))>
28.567 * [simplify]: Simplifying (sqrt (sin phi1))
28.567 * * [simplify]: iters left: 2 (3 enodes)
28.568 * * [simplify]: iters left: 1 (9 enodes)
28.569 * * [simplify]: Extracting #0: cost 1 inf + 0
28.569 * * [simplify]: Extracting #1: cost 3 inf + 0
28.569 * * [simplify]: Extracting #2: cost 5 inf + 0
28.569 * * [simplify]: Extracting #3: cost 4 inf + 1
28.569 * * [simplify]: Extracting #4: cost 0 inf + 325
28.569 * [simplify]: Simplified to (sqrt (sin phi1))
28.570 * [simplify]: Simplified (2 1 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (sqrt (sin phi1)) (* (sqrt (sin phi1)) (sin phi2))) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) R))
28.570 * * * * [progress]: [ 68 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* 1 (* (sin phi1) (sin phi2))) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) R))>
28.570 * * * * [progress]: [ 69 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (posit16->real (real->posit16 (* (sin phi1) (sin phi2)))) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) R))>
28.570 * * * * [progress]: [ 70 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) R))>
28.570 * * * * [progress]: [ 71 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))) R))>
28.572 * [simplify]: Simplifying (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))))
28.572 * * [simplify]: iters left: 6 (26 enodes)
28.578 * * [simplify]: iters left: 5 (99 enodes)
28.592 * * [simplify]: iters left: 4 (159 enodes)
28.635 * * [simplify]: iters left: 3 (260 enodes)
28.684 * * [simplify]: iters left: 2 (313 enodes)
28.734 * * [simplify]: Extracting #0: cost 1 inf + 0
28.734 * * [simplify]: Extracting #1: cost 5 inf + 0
28.734 * * [simplify]: Extracting #2: cost 11 inf + 0
28.734 * * [simplify]: Extracting #3: cost 16 inf + 2
28.734 * * [simplify]: Extracting #4: cost 50 inf + 86
28.735 * * [simplify]: Extracting #5: cost 84 inf + 86
28.735 * * [simplify]: Extracting #6: cost 70 inf + 1205
28.737 * * [simplify]: Extracting #7: cost 39 inf + 6429
28.742 * * [simplify]: Extracting #8: cost 10 inf + 16557
28.746 * * [simplify]: Extracting #9: cost 2 inf + 21704
28.750 * * [simplify]: Extracting #10: cost 0 inf + 23564
28.754 * [simplify]: Simplified to (- (* 1/2 PI) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
28.754 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (- (* 1/2 PI) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) R))
28.754 * * * * [progress]: [ 72 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))) R))>
28.754 * [simplify]: Simplifying (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))))
28.754 * * [simplify]: iters left: 6 (26 enodes)
28.764 * * [simplify]: iters left: 5 (99 enodes)
28.779 * * [simplify]: iters left: 4 (159 enodes)
28.806 * * [simplify]: iters left: 3 (260 enodes)
28.849 * * [simplify]: iters left: 2 (313 enodes)
28.899 * * [simplify]: Extracting #0: cost 1 inf + 0
28.899 * * [simplify]: Extracting #1: cost 5 inf + 0
28.899 * * [simplify]: Extracting #2: cost 11 inf + 0
28.899 * * [simplify]: Extracting #3: cost 16 inf + 2
28.899 * * [simplify]: Extracting #4: cost 50 inf + 86
28.899 * * [simplify]: Extracting #5: cost 84 inf + 86
28.900 * * [simplify]: Extracting #6: cost 70 inf + 1205
28.901 * * [simplify]: Extracting #7: cost 39 inf + 6429
28.904 * * [simplify]: Extracting #8: cost 10 inf + 16557
28.911 * * [simplify]: Extracting #9: cost 2 inf + 21704
28.919 * * [simplify]: Extracting #10: cost 0 inf + 23564
28.926 * [simplify]: Simplified to (- (* 1/2 PI) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
28.926 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (- (* 1/2 PI) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) R))
28.926 * * * * [progress]: [ 73 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) R))>
28.927 * [simplify]: Simplifying (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
28.927 * * [simplify]: iters left: 6 (26 enodes)
28.934 * * [simplify]: iters left: 5 (99 enodes)
28.949 * * [simplify]: iters left: 4 (159 enodes)
28.986 * * [simplify]: iters left: 3 (260 enodes)
29.033 * * [simplify]: iters left: 2 (313 enodes)
29.113 * * [simplify]: Extracting #0: cost 1 inf + 0
29.113 * * [simplify]: Extracting #1: cost 5 inf + 0
29.113 * * [simplify]: Extracting #2: cost 11 inf + 0
29.113 * * [simplify]: Extracting #3: cost 16 inf + 2
29.114 * * [simplify]: Extracting #4: cost 50 inf + 86
29.114 * * [simplify]: Extracting #5: cost 84 inf + 86
29.115 * * [simplify]: Extracting #6: cost 73 inf + 719
29.117 * * [simplify]: Extracting #7: cost 44 inf + 5619
29.122 * * [simplify]: Extracting #8: cost 10 inf + 16557
29.129 * * [simplify]: Extracting #9: cost 2 inf + 21704
29.137 * * [simplify]: Extracting #10: cost 0 inf + 23564
29.145 * [simplify]: Simplified to (- (* 1/2 PI) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (* (sin phi1) (sin phi2)))))
29.146 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (- (* 1/2 PI) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (* (sin phi1) (sin phi2))))) R))
29.146 * * * * [progress]: [ 74 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))) R))>
29.147 * [simplify]: Simplifying (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))
29.147 * * [simplify]: iters left: 6 (22 enodes)
29.157 * * [simplify]: iters left: 5 (84 enodes)
29.178 * * [simplify]: iters left: 4 (141 enodes)
29.204 * * [simplify]: iters left: 3 (241 enodes)
29.259 * * [simplify]: iters left: 2 (280 enodes)
29.305 * * [simplify]: Extracting #0: cost 1 inf + 0
29.305 * * [simplify]: Extracting #1: cost 3 inf + 0
29.305 * * [simplify]: Extracting #2: cost 10 inf + 0
29.305 * * [simplify]: Extracting #3: cost 46 inf + 0
29.306 * * [simplify]: Extracting #4: cost 80 inf + 0
29.306 * * [simplify]: Extracting #5: cost 58 inf + 2112
29.310 * * [simplify]: Extracting #6: cost 20 inf + 10221
29.315 * * [simplify]: Extracting #7: cost 2 inf + 18300
29.318 * * [simplify]: Extracting #8: cost 0 inf + 19918
29.322 * * [simplify]: Extracting #9: cost 0 inf + 19758
29.325 * [simplify]: Simplified to (asin (+ (* (sin phi1) (sin phi2)) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1)))))
29.325 * [simplify]: Simplified (2 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1)))))) R))
29.325 * * * * [progress]: [ 75 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))) R))>
29.325 * [simplify]: Simplifying (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))
29.325 * * [simplify]: iters left: 6 (22 enodes)
29.330 * * [simplify]: iters left: 5 (84 enodes)
29.343 * * [simplify]: iters left: 4 (141 enodes)
29.372 * * [simplify]: iters left: 3 (241 enodes)
29.426 * * [simplify]: iters left: 2 (280 enodes)
29.499 * * [simplify]: Extracting #0: cost 1 inf + 0
29.499 * * [simplify]: Extracting #1: cost 3 inf + 0
29.499 * * [simplify]: Extracting #2: cost 10 inf + 0
29.499 * * [simplify]: Extracting #3: cost 46 inf + 0
29.499 * * [simplify]: Extracting #4: cost 80 inf + 0
29.500 * * [simplify]: Extracting #5: cost 58 inf + 2112
29.501 * * [simplify]: Extracting #6: cost 20 inf + 10221
29.504 * * [simplify]: Extracting #7: cost 2 inf + 18300
29.507 * * [simplify]: Extracting #8: cost 0 inf + 19918
29.511 * * [simplify]: Extracting #9: cost 0 inf + 19758
29.514 * [simplify]: Simplified to (asin (+ (* (sin phi1) (sin phi2)) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1)))))
29.514 * [simplify]: Simplified (2 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1)))))) R))
29.514 * * * * [progress]: [ 76 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) R))>
29.514 * [simplify]: Simplifying (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
29.514 * * [simplify]: iters left: 6 (22 enodes)
29.519 * * [simplify]: iters left: 5 (84 enodes)
29.547 * * [simplify]: iters left: 4 (141 enodes)
29.598 * * [simplify]: iters left: 3 (241 enodes)
29.652 * * [simplify]: iters left: 2 (280 enodes)
29.723 * * [simplify]: Extracting #0: cost 1 inf + 0
29.723 * * [simplify]: Extracting #1: cost 3 inf + 0
29.723 * * [simplify]: Extracting #2: cost 10 inf + 0
29.723 * * [simplify]: Extracting #3: cost 46 inf + 0
29.724 * * [simplify]: Extracting #4: cost 80 inf + 0
29.725 * * [simplify]: Extracting #5: cost 63 inf + 1504
29.727 * * [simplify]: Extracting #6: cost 22 inf + 9796
29.733 * * [simplify]: Extracting #7: cost 5 inf + 17031
29.737 * * [simplify]: Extracting #8: cost 0 inf + 19918
29.740 * * [simplify]: Extracting #9: cost 0 inf + 19758
29.743 * [simplify]: Simplified to (asin (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1)))))
29.743 * [simplify]: Simplified (2 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1)))))) R))
29.744 * * * * [progress]: [ 77 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))))))>
29.744 * [simplify]: Simplifying (* R (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))))
29.744 * * [simplify]: iters left: 6 (28 enodes)
29.750 * * [simplify]: iters left: 5 (106 enodes)
29.769 * * [simplify]: iters left: 4 (172 enodes)
29.806 * * [simplify]: iters left: 3 (294 enodes)
29.867 * * [simplify]: iters left: 2 (362 enodes)
29.948 * * [simplify]: iters left: 1 (364 enodes)
30.025 * * [simplify]: Extracting #0: cost 1 inf + 0
30.026 * * [simplify]: Extracting #1: cost 7 inf + 0
30.026 * * [simplify]: Extracting #2: cost 18 inf + 1
30.026 * * [simplify]: Extracting #3: cost 18 inf + 253
30.026 * * [simplify]: Extracting #4: cost 20 inf + 503
30.027 * * [simplify]: Extracting #5: cost 56 inf + 503
30.028 * * [simplify]: Extracting #6: cost 90 inf + 503
30.029 * * [simplify]: Extracting #7: cost 77 inf + 1056
30.031 * * [simplify]: Extracting #8: cost 43 inf + 7713
30.036 * * [simplify]: Extracting #9: cost 15 inf + 16751
30.043 * * [simplify]: Extracting #10: cost 10 inf + 20421
30.051 * * [simplify]: Extracting #11: cost 5 inf + 25132
30.063 * * [simplify]: Extracting #12: cost 0 inf + 29885
30.073 * * [simplify]: Extracting #13: cost 0 inf + 29685
30.081 * [simplify]: Simplified to (* R (- (* PI 1/2) (asin (+ (* (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (cos phi2)) (cos phi1)) (* (sin phi1) (sin phi2))))))
30.081 * [simplify]: Simplified (2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (- (* PI 1/2) (asin (+ (* (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (cos phi2)) (cos phi1)) (* (sin phi1) (sin phi2)))))))
30.081 * * * * [progress]: [ 78 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))))))>
30.081 * [simplify]: Simplifying (* R (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))))
30.081 * * [simplify]: iters left: 6 (28 enodes)
30.087 * * [simplify]: iters left: 5 (106 enodes)
30.103 * * [simplify]: iters left: 4 (172 enodes)
30.135 * * [simplify]: iters left: 3 (294 enodes)
30.221 * * [simplify]: iters left: 2 (362 enodes)
30.282 * * [simplify]: iters left: 1 (364 enodes)
30.327 * * [simplify]: Extracting #0: cost 1 inf + 0
30.327 * * [simplify]: Extracting #1: cost 7 inf + 0
30.327 * * [simplify]: Extracting #2: cost 18 inf + 1
30.327 * * [simplify]: Extracting #3: cost 18 inf + 253
30.327 * * [simplify]: Extracting #4: cost 20 inf + 503
30.328 * * [simplify]: Extracting #5: cost 56 inf + 503
30.328 * * [simplify]: Extracting #6: cost 90 inf + 503
30.328 * * [simplify]: Extracting #7: cost 77 inf + 1056
30.330 * * [simplify]: Extracting #8: cost 43 inf + 7713
30.332 * * [simplify]: Extracting #9: cost 15 inf + 16751
30.336 * * [simplify]: Extracting #10: cost 10 inf + 20421
30.341 * * [simplify]: Extracting #11: cost 5 inf + 25132
30.351 * * [simplify]: Extracting #12: cost 0 inf + 29885
30.361 * * [simplify]: Extracting #13: cost 0 inf + 29685
30.372 * [simplify]: Simplified to (* R (- (* PI 1/2) (asin (+ (* (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (cos phi2)) (cos phi1)) (* (sin phi1) (sin phi2))))))
30.372 * [simplify]: Simplified (2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (- (* PI 1/2) (asin (+ (* (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (cos phi2)) (cos phi1)) (* (sin phi1) (sin phi2)))))))
30.372 * * * * [progress]: [ 79 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) R))>
30.373 * [simplify]: Simplifying (* (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) R)
30.373 * * [simplify]: iters left: 6 (28 enodes)
30.386 * * [simplify]: iters left: 5 (106 enodes)
30.419 * * [simplify]: iters left: 4 (172 enodes)
30.462 * * [simplify]: iters left: 3 (294 enodes)
30.529 * * [simplify]: iters left: 2 (358 enodes)
30.594 * * [simplify]: iters left: 1 (360 enodes)
30.672 * * [simplify]: Extracting #0: cost 1 inf + 0
30.672 * * [simplify]: Extracting #1: cost 7 inf + 0
30.672 * * [simplify]: Extracting #2: cost 18 inf + 1
30.672 * * [simplify]: Extracting #3: cost 19 inf + 211
30.672 * * [simplify]: Extracting #4: cost 20 inf + 503
30.673 * * [simplify]: Extracting #5: cost 56 inf + 503
30.674 * * [simplify]: Extracting #6: cost 90 inf + 503
30.674 * * [simplify]: Extracting #7: cost 76 inf + 1319
30.677 * * [simplify]: Extracting #8: cost 37 inf + 9451
30.682 * * [simplify]: Extracting #9: cost 17 inf + 16210
30.686 * * [simplify]: Extracting #10: cost 4 inf + 25842
30.691 * * [simplify]: Extracting #11: cost 0 inf + 29685
30.697 * [simplify]: Simplified to (* (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))))))) R)
30.697 * [simplify]: Simplified (2) to (λ (R lambda1 lambda2 phi1 phi2) (* (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))))))) R))
30.697 * * * * [progress]: [ 80 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* phi1 phi2) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) R))>
30.697 * [simplify]: Simplifying (* phi1 phi2)
30.697 * * [simplify]: iters left: 2 (3 enodes)
30.698 * * [simplify]: iters left: 1 (10 enodes)
30.699 * * [simplify]: Extracting #0: cost 1 inf + 0
30.699 * * [simplify]: Extracting #1: cost 4 inf + 0
30.700 * * [simplify]: Extracting #2: cost 2 inf + 2
30.700 * * [simplify]: Extracting #3: cost 0 inf + 86
30.700 * [simplify]: Simplified to (* phi1 phi2)
30.700 * [simplify]: Simplified (2 1 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* phi1 phi2) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) R))
30.700 * * * * [progress]: [ 81 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) R))>
30.700 * [simplify]: Simplifying (* (sin phi1) (sin phi2))
30.700 * * [simplify]: iters left: 3 (5 enodes)
30.701 * * [simplify]: iters left: 2 (16 enodes)
30.703 * * [simplify]: Extracting #0: cost 1 inf + 0
30.703 * * [simplify]: Extracting #1: cost 4 inf + 0
30.703 * * [simplify]: Extracting #2: cost 8 inf + 0
30.703 * * [simplify]: Extracting #3: cost 4 inf + 124
30.703 * * [simplify]: Extracting #4: cost 0 inf + 570
30.703 * [simplify]: Simplified to (* (sin phi2) (sin phi1))
30.703 * [simplify]: Simplified (2 1 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) R))
30.703 * * * * [progress]: [ 82 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) R))>
30.704 * [simplify]: Simplifying (* (sin phi1) (sin phi2))
30.704 * * [simplify]: iters left: 3 (5 enodes)
30.704 * * [simplify]: iters left: 2 (16 enodes)
30.706 * * [simplify]: Extracting #0: cost 1 inf + 0
30.706 * * [simplify]: Extracting #1: cost 4 inf + 0
30.706 * * [simplify]: Extracting #2: cost 8 inf + 0
30.706 * * [simplify]: Extracting #3: cost 4 inf + 124
30.707 * * [simplify]: Extracting #4: cost 0 inf + 570
30.707 * [simplify]: Simplified to (* (sin phi2) (sin phi1))
30.707 * [simplify]: Simplified (2 1 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) R))
30.707 * * * [progress]: adding candidates to table
32.610 * [progress]: [Phase 3 of 3] Extracting.
32.610 * * [regime]: Finding splitpoints for: (#<alt (λ (R lambda1 lambda2 phi1 phi2) (* (cbrt (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (/ (* (- (* (/ PI 2) (/ PI 2)) (* (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))))) R) (+ (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (* (* (cbrt (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) (cbrt (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))))) (cbrt (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (- (/ PI 2) (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (log (exp (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))) (sqrt R)) (sqrt R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (cbrt (sin phi1)) (cbrt (sin phi1))) (* (cbrt (sin phi1)) (sin phi2))) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (log (exp (* (sin phi1) (sin phi2)))) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (+ (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))))) (* (- (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))))) R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (cbrt (sin phi2))) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) R)) (cbrt (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) R))) (cbrt (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (* (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (log (exp (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))))) (* (sqrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))))) R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (exp (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))))>)
32.624 * * * [regime-changes]: Trying 5 branch expressions: (R lambda2 lambda1 phi2 phi1)
32.625 * * * * [regimes]: Trying to branch on R from (#<alt (λ (R lambda1 lambda2 phi1 phi2) (* (cbrt (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (/ (* (- (* (/ PI 2) (/ PI 2)) (* (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))))) R) (+ (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (* (* (cbrt (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) (cbrt (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))))) (cbrt (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (- (/ PI 2) (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (log (exp (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))) (sqrt R)) (sqrt R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (cbrt (sin phi1)) (cbrt (sin phi1))) (* (cbrt (sin phi1)) (sin phi2))) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (log (exp (* (sin phi1) (sin phi2)))) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (+ (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))))) (* (- (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))))) R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (cbrt (sin phi2))) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) R)) (cbrt (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) R))) (cbrt (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (* (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (log (exp (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))))) (* (sqrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))))) R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (exp (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))))>)
32.899 * * * * [regimes]: Trying to branch on lambda2 from (#<alt (λ (R lambda1 lambda2 phi1 phi2) (* (cbrt (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (/ (* (- (* (/ PI 2) (/ PI 2)) (* (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))))) R) (+ (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (* (* (cbrt (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) (cbrt (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))))) (cbrt (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (- (/ PI 2) (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (log (exp (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))) (sqrt R)) (sqrt R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (cbrt (sin phi1)) (cbrt (sin phi1))) (* (cbrt (sin phi1)) (sin phi2))) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (log (exp (* (sin phi1) (sin phi2)))) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (+ (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))))) (* (- (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))))) R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (cbrt (sin phi2))) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) R)) (cbrt (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) R))) (cbrt (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (* (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (log (exp (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))))) (* (sqrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))))) R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (exp (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))))>)
33.151 * * * * [regimes]: Trying to branch on lambda1 from (#<alt (λ (R lambda1 lambda2 phi1 phi2) (* (cbrt (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (/ (* (- (* (/ PI 2) (/ PI 2)) (* (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))))) R) (+ (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (* (* (cbrt (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) (cbrt (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))))) (cbrt (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (- (/ PI 2) (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (log (exp (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))) (sqrt R)) (sqrt R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (cbrt (sin phi1)) (cbrt (sin phi1))) (* (cbrt (sin phi1)) (sin phi2))) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (log (exp (* (sin phi1) (sin phi2)))) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (+ (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))))) (* (- (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))))) R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (cbrt (sin phi2))) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) R)) (cbrt (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) R))) (cbrt (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (* (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (log (exp (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))))) (* (sqrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))))) R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (exp (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))))>)
33.408 * * * * [regimes]: Trying to branch on phi2 from (#<alt (λ (R lambda1 lambda2 phi1 phi2) (* (cbrt (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (/ (* (- (* (/ PI 2) (/ PI 2)) (* (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))))) R) (+ (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (* (* (cbrt (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) (cbrt (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))))) (cbrt (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (- (/ PI 2) (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (log (exp (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))) (sqrt R)) (sqrt R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (cbrt (sin phi1)) (cbrt (sin phi1))) (* (cbrt (sin phi1)) (sin phi2))) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (log (exp (* (sin phi1) (sin phi2)))) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (+ (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))))) (* (- (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))))) R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (cbrt (sin phi2))) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) R)) (cbrt (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) R))) (cbrt (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (* (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (log (exp (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))))) (* (sqrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))))) R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (exp (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))))>)
33.667 * * * * [regimes]: Trying to branch on phi1 from (#<alt (λ (R lambda1 lambda2 phi1 phi2) (* (cbrt (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (/ (* (- (* (/ PI 2) (/ PI 2)) (* (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))))) R) (+ (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (* (* (cbrt (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) (cbrt (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))))) (cbrt (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (- (/ PI 2) (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (log (exp (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))) (sqrt R)) (sqrt R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (cbrt (sin phi1)) (cbrt (sin phi1))) (* (cbrt (sin phi1)) (sin phi2))) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (log (exp (* (sin phi1) (sin phi2)))) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (+ (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))))) (* (- (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))))) R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (cbrt (sin phi2))) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) R)) (cbrt (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) R))) (cbrt (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (* (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (log (exp (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))))) (* (sqrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))))) R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (exp (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))))>)
33.837 * * * [regime]: Found split indices: #<option (#s(si 3 255))>
33.837 * [simplify]: Simplifying (* (- (/ PI 2) (- (/ PI 2) (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))))) R)
33.837 * * [simplify]: iters left: 6 (27 enodes)
33.838 * * [simplify]: iters left: 5 (35 enodes)
33.839 * * [simplify]: Extracting #0: cost 1 inf + 0
33.839 * * [simplify]: Extracting #1: cost 3 inf + 0
33.839 * * [simplify]: Extracting #2: cost 4 inf + 1
33.839 * * [simplify]: Extracting #3: cost 7 inf + 1
33.839 * * [simplify]: Extracting #4: cost 6 inf + 3
33.839 * * [simplify]: Extracting #5: cost 7 inf + 45
33.840 * * [simplify]: Extracting #6: cost 11 inf + 45
33.840 * * [simplify]: Extracting #7: cost 15 inf + 45
33.840 * * [simplify]: Extracting #8: cost 14 inf + 108
33.840 * * [simplify]: Extracting #9: cost 14 inf + 453
33.840 * * [simplify]: Extracting #10: cost 16 inf + 453
33.840 * * [simplify]: Extracting #11: cost 11 inf + 638
33.840 * * [simplify]: Extracting #12: cost 8 inf + 1023
33.840 * * [simplify]: Extracting #13: cost 7 inf + 1385
33.840 * * [simplify]: Extracting #14: cost 5 inf + 2412
33.841 * * [simplify]: Extracting #15: cost 4 inf + 3176
33.841 * * [simplify]: Extracting #16: cost 3 inf + 4030
33.842 * * [simplify]: Extracting #17: cost 1 inf + 5942
33.843 * * [simplify]: Extracting #18: cost 0 inf + 6959
33.843 * [simplify]: Simplified to (* (- (/ PI 2) (- (/ PI 2) (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))) (* (sin phi2) (sin phi1)))))) R)
63.168 * [regime-testing]: Baseline error score: 3.878857974924101
63.170 * [regime-testing]: Oracle error score: 3.3669740576783784
63.176 * [regime-testing]: End program error score: 3.878857974924101