* [misc]progress:  [Phase 1 of 3] Setting up.
* * * [misc]progress:  [1/2] Preparing points
* * * * [misc]points:  Sampling 256 additional inputs, on iter 0 have 0 / 256
* * * * [misc]points:  Computing exacts on every 16 of 256 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 8 of 256 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Setting MPFR precision to 576
* * * * [misc]points:  Setting MPFR precision to 832
* * * * [misc]points:  Computing exacts on every 4 of 256 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 576
* * * * [misc]points:  Setting MPFR precision to 832
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 2 of 256 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 256 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [exit]points:  Sampled 256 points with exact outputs
* * * [misc]progress:  [2/2] Setting up program.
* [misc]progress:  [Phase 2 of 3] Improving.
* [enter]simplify:  Simplifying (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* [exit]simplify:  Simplified to (* R (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))
* * [misc]progress:  iteration 1 / 4
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 4 ] rewriting at (2 1 1 2 2)
* * * * [misc]progress:  [ 2 / 4 ] rewriting at (2 1)
* * * * [misc]progress:  [ 3 / 4 ] rewriting at (2)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2 1 1 2)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 4 ] generating series at (2 1 1 2 2)
* [misc]approximate:  Taking taylor expansion of (cos (- lambda1 lambda2)) in (lambda1 lambda2) around 0
* [misc]taylor:  Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ lambda1 0) into lambda1
* [misc]backup-simplify:  Simplify (cos lambda1) into (cos lambda1)
* [misc]backup-simplify:  Simplify (sin lambda1) into (sin lambda1)
* [misc]taylor:  Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (+ 0 (- lambda2)) into (- lambda2)
* [misc]backup-simplify:  Simplify (cos (- lambda2)) into (cos (- lambda2))
* [misc]backup-simplify:  Simplify (sin (- lambda2)) into (sin (- lambda2))
* [misc]taylor:  Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (+ 0 (- lambda2)) into (- lambda2)
* [misc]backup-simplify:  Simplify (cos (- lambda2)) into (cos (- lambda2))
* [misc]backup-simplify:  Simplify (sin (- lambda2)) into (sin (- lambda2))
* [misc]backup-simplify:  Simplify (* (cos (- lambda2)) 1) into (cos (- lambda2))
* [misc]backup-simplify:  Simplify (* (sin (- lambda2)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (- lambda2)) 0) into (cos (- lambda2))
* [misc]taylor:  Taking taylor expansion of (cos (- lambda2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (- lambda2) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (- lambda2)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
* [misc]backup-simplify:  Simplify (+ (* (sin (- lambda2)) 1) (* 0 0)) into (sin (- lambda2))
* [misc]backup-simplify:  Simplify (- (sin (- lambda2))) into (- (sin (- lambda2)))
* [misc]backup-simplify:  Simplify (+ 0 (- (sin (- lambda2)))) into (- (sin (- lambda2)))
* [misc]taylor:  Taking taylor expansion of (- (sin (- lambda2))) in lambda2
* [misc]taylor:  Taking taylor expansion of (sin (- lambda2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (- lambda2) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2)
* [misc]backup-simplify:  Simplify (+ (* (cos (- lambda2)) (- 1/2)) (+ (* 0 0) (* 0 1))) into (- (* 1/2 (cos (- lambda2))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (- lambda2)) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (- (* 1/2 (cos (- lambda2)))) 0) into (- (* 1/2 (cos (- lambda2))))
* [misc]taylor:  Taking taylor expansion of (- (* 1/2 (cos (- lambda2)))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* 1/2 (cos (- lambda2))) in lambda2
* [misc]taylor:  Taking taylor expansion of 1/2 in lambda2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (cos (- lambda2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (- lambda2) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (- 1/2) into -1/2
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow -1 1) 1))) into (- 1)
* [misc]backup-simplify:  Simplify (- (- 1)) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (* 1 (* lambda2 lambda1)) (+ (* -1/2 (pow (* 1 lambda1) 2)) 1)) into (- (+ 1 (* lambda2 lambda1)) (* 1/2 (pow lambda1 2)))
* [misc]approximate:  Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in (lambda1 lambda2) around 0
* [misc]taylor:  Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2
* [misc]taylor:  Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda1) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (/ 1 lambda1) into (/ 1 lambda1)
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda2) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2)))
* [misc]taylor:  Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda1) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (/ 1 lambda2) into (/ 1 lambda2)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2)))
* [misc]taylor:  Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda1) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (/ 1 lambda2) into (/ 1 lambda2)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2)))
* [misc]taylor:  Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2
* [misc]taylor:  Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda1) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (/ 1 lambda1) into (/ 1 lambda1)
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda2) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2)))
* [misc]backup-simplify:  Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2)))
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (- (/ 1 (/ 1 lambda1)) (/ 1 (/ 1 lambda2)))) into (cos (- lambda1 lambda2))
* [misc]approximate:  Taking taylor expansion of (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2)))) in (lambda1 lambda2) around 0
* [misc]taylor:  Taking taylor expansion of (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2)))) in lambda2
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda1)) in lambda2
* [misc]taylor:  Taking taylor expansion of (- lambda1) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda1)) into (/ -1 lambda1)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (- lambda2) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (- -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2)))) into (cos (- (/ 1 lambda2) (/ 1 lambda1)))
* [misc]taylor:  Taking taylor expansion of (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2)))) in lambda1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda1)) in lambda1
* [misc]taylor:  Taking taylor expansion of (- lambda1) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (- lambda2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda2)) into (/ -1 lambda2)
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2)))) into (cos (- (/ 1 lambda2) (/ 1 lambda1)))
* [misc]taylor:  Taking taylor expansion of (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2)))) in lambda1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda1)) in lambda1
* [misc]taylor:  Taking taylor expansion of (- lambda1) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (- lambda2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda2)) into (/ -1 lambda2)
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2)))) into (cos (- (/ 1 lambda2) (/ 1 lambda1)))
* [misc]taylor:  Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2
* [misc]taylor:  Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda2) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda1) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (/ 1 lambda1) into (/ 1 lambda1)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1)))
* [misc]backup-simplify:  Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1)))
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (- (/ 1 (/ 1 (- lambda2))) (/ 1 (/ 1 (- lambda1))))) into (cos (- lambda1 lambda2))
* * * * [misc]progress:  [ 2 / 4 ] generating series at (2 1)
* [misc]approximate:  Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) in (phi1 phi2 lambda1 lambda2) around 0
* [misc]taylor:  Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) in lambda2
* [misc]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))))
* [misc]taylor:  Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) in lambda1
* [misc]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))))
* [misc]taylor:  Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) in phi2
* [misc]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))))
* [misc]taylor:  Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) in phi1
* [misc]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))))
* [misc]taylor:  Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) in phi1
* [misc]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))))
* [misc]taylor:  Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi2
* [misc]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))))
* [misc]taylor:  Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda1
* [misc]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))))
* [misc]taylor:  Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda2
* [misc]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))))
* [misc]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))))
* [misc]taylor:  Taking taylor expansion of 0 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]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))))
* [misc]approximate:  Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (cos (- (/ 1 lambda1) (/ 1 lambda2)))))) in (phi1 phi2 lambda1 lambda2) around 0
* [misc]taylor:  Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (cos (- (/ 1 lambda1) (/ 1 lambda2)))))) in lambda2
* [misc]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))))))
* [misc]taylor:  Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (cos (- (/ 1 lambda1) (/ 1 lambda2)))))) in lambda1
* [misc]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))))))
* [misc]taylor:  Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (cos (- (/ 1 lambda1) (/ 1 lambda2)))))) in phi2
* [misc]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))))))
* [misc]taylor:  Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (cos (- (/ 1 lambda1) (/ 1 lambda2)))))) in phi1
* [misc]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))))))
* [misc]taylor:  Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (cos (- (/ 1 lambda1) (/ 1 lambda2)))))) in phi1
* [misc]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))))))
* [misc]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
* [misc]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))))))
* [misc]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
* [misc]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))))))
* [misc]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
* [misc]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))))))
* [misc]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))))))
* [misc]taylor:  Taking taylor expansion of 0 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]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))))
* [misc]approximate:  Taking taylor expansion of (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2))))))) in (phi1 phi2 lambda1 lambda2) around 0
* [misc]taylor:  Taking taylor expansion of (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2))))))) in lambda2
* [misc]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)))))))
* [misc]taylor:  Taking taylor expansion of (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2))))))) in lambda1
* [misc]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)))))))
* [misc]taylor:  Taking taylor expansion of (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2))))))) in phi2
* [misc]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)))))))
* [misc]taylor:  Taking taylor expansion of (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2))))))) in phi1
* [misc]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)))))))
* [misc]taylor:  Taking taylor expansion of (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2))))))) in phi1
* [misc]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)))))))
* [misc]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
* [misc]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)))))))
* [misc]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
* [misc]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)))))))
* [misc]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
* [misc]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)))))))
* [misc]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)))))))
* [misc]taylor:  Taking taylor expansion of 0 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]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))))
* * * * [misc]progress:  [ 3 / 4 ] generating series at (2)
* [misc]approximate:  Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0
* [misc]taylor:  Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) in R
* [misc]taylor:  Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) in R
* [misc]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))))
* [misc]taylor:  Taking taylor expansion of R in R
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) in lambda2
* [misc]taylor:  Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) in lambda2
* [misc]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))))
* [misc]taylor:  Taking taylor expansion of R in lambda2
* [misc]backup-simplify:  Simplify R into R
* [misc]taylor:  Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) in lambda1
* [misc]taylor:  Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) in lambda1
* [misc]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))))
* [misc]taylor:  Taking taylor expansion of R in lambda1
* [misc]backup-simplify:  Simplify R into R
* [misc]taylor:  Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) in phi2
* [misc]taylor:  Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) in phi2
* [misc]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))))
* [misc]taylor:  Taking taylor expansion of R in phi2
* [misc]backup-simplify:  Simplify R into R
* [misc]taylor:  Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) in phi1
* [misc]taylor:  Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) in phi1
* [misc]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))))
* [misc]taylor:  Taking taylor expansion of R in phi1
* [misc]backup-simplify:  Simplify R into R
* [misc]taylor:  Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) in phi1
* [misc]taylor:  Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) in phi1
* [misc]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))))
* [misc]taylor:  Taking taylor expansion of R in phi1
* [misc]backup-simplify:  Simplify R into R
* [misc]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)
* [misc]taylor:  Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in phi2
* [misc]taylor:  Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi2
* [misc]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))))
* [misc]taylor:  Taking taylor expansion of R in phi2
* [misc]backup-simplify:  Simplify R into R
* [misc]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)
* [misc]taylor:  Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in lambda1
* [misc]taylor:  Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda1
* [misc]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))))
* [misc]taylor:  Taking taylor expansion of R in lambda1
* [misc]backup-simplify:  Simplify R into R
* [misc]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)
* [misc]taylor:  Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in lambda2
* [misc]taylor:  Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda2
* [misc]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))))
* [misc]taylor:  Taking taylor expansion of R in lambda2
* [misc]backup-simplify:  Simplify R into R
* [misc]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)
* [misc]taylor:  Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in R
* [misc]taylor:  Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in R
* [misc]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))))
* [misc]taylor:  Taking taylor expansion of R in R
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) (* 0 R)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in R
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) (* 0 R)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in R
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) (* 0 R)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in R
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) (* 0 R)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in R
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]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))))
* [misc]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))))
* [misc]backup-simplify:  Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) (+ (* 0 0) (* 0 R))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in R
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in R
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) (+ (* 0 0) (* 0 R))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in R
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in R
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in R
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) (+ (* 0 0) (* 0 R))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in R
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]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)
* [misc]approximate:  Taking taylor expansion of (* (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (cos (- (/ 1 lambda1) (/ 1 lambda2)))))) (/ 1 R)) in (phi1 phi2 lambda1 lambda2 R) around 0
* [misc]taylor:  Taking taylor expansion of (* (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (cos (- (/ 1 lambda1) (/ 1 lambda2)))))) (/ 1 R)) in R
* [misc]taylor:  Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (cos (- (/ 1 lambda1) (/ 1 lambda2)))))) in R
* [misc]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))))))
* [misc]taylor:  Taking taylor expansion of (/ 1 R) in R
* [misc]taylor:  Taking taylor expansion of R in R
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (cos (- (/ 1 lambda1) (/ 1 lambda2)))))) (/ 1 R)) in lambda2
* [misc]taylor:  Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (cos (- (/ 1 lambda1) (/ 1 lambda2)))))) in lambda2
* [misc]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))))))
* [misc]taylor:  Taking taylor expansion of (/ 1 R) in lambda2
* [misc]taylor:  Taking taylor expansion of R in lambda2
* [misc]backup-simplify:  Simplify R into R
* [misc]backup-simplify:  Simplify (/ 1 R) into (/ 1 R)
* [misc]taylor:  Taking taylor expansion of (* (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (cos (- (/ 1 lambda1) (/ 1 lambda2)))))) (/ 1 R)) in lambda1
* [misc]taylor:  Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (cos (- (/ 1 lambda1) (/ 1 lambda2)))))) in lambda1
* [misc]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))))))
* [misc]taylor:  Taking taylor expansion of (/ 1 R) in lambda1
* [misc]taylor:  Taking taylor expansion of R in lambda1
* [misc]backup-simplify:  Simplify R into R
* [misc]backup-simplify:  Simplify (/ 1 R) into (/ 1 R)
* [misc]taylor:  Taking taylor expansion of (* (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (cos (- (/ 1 lambda1) (/ 1 lambda2)))))) (/ 1 R)) in phi2
* [misc]taylor:  Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (cos (- (/ 1 lambda1) (/ 1 lambda2)))))) in phi2
* [misc]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))))))
* [misc]taylor:  Taking taylor expansion of (/ 1 R) in phi2
* [misc]taylor:  Taking taylor expansion of R in phi2
* [misc]backup-simplify:  Simplify R into R
* [misc]backup-simplify:  Simplify (/ 1 R) into (/ 1 R)
* [misc]taylor:  Taking taylor expansion of (* (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (cos (- (/ 1 lambda1) (/ 1 lambda2)))))) (/ 1 R)) in phi1
* [misc]taylor:  Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (cos (- (/ 1 lambda1) (/ 1 lambda2)))))) in phi1
* [misc]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))))))
* [misc]taylor:  Taking taylor expansion of (/ 1 R) in phi1
* [misc]taylor:  Taking taylor expansion of R in phi1
* [misc]backup-simplify:  Simplify R into R
* [misc]backup-simplify:  Simplify (/ 1 R) into (/ 1 R)
* [misc]taylor:  Taking taylor expansion of (* (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (cos (- (/ 1 lambda1) (/ 1 lambda2)))))) (/ 1 R)) in phi1
* [misc]taylor:  Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (cos (- (/ 1 lambda1) (/ 1 lambda2)))))) in phi1
* [misc]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))))))
* [misc]taylor:  Taking taylor expansion of (/ 1 R) in phi1
* [misc]taylor:  Taking taylor expansion of R in phi1
* [misc]backup-simplify:  Simplify R into R
* [misc]backup-simplify:  Simplify (/ 1 R) into (/ 1 R)
* [misc]backup-simplify:  Simplify (* (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) (/ 1 R)) into (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R)
* [misc]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
* [misc]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
* [misc]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))))))
* [misc]taylor:  Taking taylor expansion of R in phi2
* [misc]backup-simplify:  Simplify R into R
* [misc]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)
* [misc]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
* [misc]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
* [misc]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))))))
* [misc]taylor:  Taking taylor expansion of R in lambda1
* [misc]backup-simplify:  Simplify R into R
* [misc]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)
* [misc]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
* [misc]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
* [misc]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))))))
* [misc]taylor:  Taking taylor expansion of R in lambda2
* [misc]backup-simplify:  Simplify R into R
* [misc]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)
* [misc]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
* [misc]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
* [misc]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))))))
* [misc]taylor:  Taking taylor expansion of R in R
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]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))))))
* [misc]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))))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 R) (/ 0 R)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) 0) (* 0 (/ 1 R))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in R
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]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
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in R
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]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
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in R
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]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
* [misc]taylor:  Taking taylor expansion of 0 in R
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]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
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) 0) (+ (* 0 0) (* 0 (/ 1 R)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in R
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in R
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]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
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in R
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in R
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in R
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]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
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in R
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in R
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in R
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in R
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]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
* [misc]taylor:  Taking taylor expansion of 0 in R
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]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
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]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)
* [misc]approximate:  Taking taylor expansion of (* (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2))))))) (/ 1 (- R))) in (phi1 phi2 lambda1 lambda2 R) around 0
* [misc]taylor:  Taking taylor expansion of (* (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2))))))) (/ 1 (- R))) in R
* [misc]taylor:  Taking taylor expansion of (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2))))))) in R
* [misc]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)))))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (- R)) in R
* [misc]taylor:  Taking taylor expansion of (- R) in R
* [misc]taylor:  Taking taylor expansion of R in R
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2))))))) (/ 1 (- R))) in lambda2
* [misc]taylor:  Taking taylor expansion of (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2))))))) in lambda2
* [misc]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)))))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (- R)) in lambda2
* [misc]taylor:  Taking taylor expansion of (- R) in lambda2
* [misc]taylor:  Taking taylor expansion of R in lambda2
* [misc]backup-simplify:  Simplify R into R
* [misc]backup-simplify:  Simplify (- R) into (- R)
* [misc]backup-simplify:  Simplify (- R) into (- R)
* [misc]backup-simplify:  Simplify (/ 1 (- R)) into (/ -1 R)
* [misc]taylor:  Taking taylor expansion of (* (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2))))))) (/ 1 (- R))) in lambda1
* [misc]taylor:  Taking taylor expansion of (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2))))))) in lambda1
* [misc]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)))))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (- R)) in lambda1
* [misc]taylor:  Taking taylor expansion of (- R) in lambda1
* [misc]taylor:  Taking taylor expansion of R in lambda1
* [misc]backup-simplify:  Simplify R into R
* [misc]backup-simplify:  Simplify (- R) into (- R)
* [misc]backup-simplify:  Simplify (- R) into (- R)
* [misc]backup-simplify:  Simplify (/ 1 (- R)) into (/ -1 R)
* [misc]taylor:  Taking taylor expansion of (* (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2))))))) (/ 1 (- R))) in phi2
* [misc]taylor:  Taking taylor expansion of (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2))))))) in phi2
* [misc]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)))))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (- R)) in phi2
* [misc]taylor:  Taking taylor expansion of (- R) in phi2
* [misc]taylor:  Taking taylor expansion of R in phi2
* [misc]backup-simplify:  Simplify R into R
* [misc]backup-simplify:  Simplify (- R) into (- R)
* [misc]backup-simplify:  Simplify (- R) into (- R)
* [misc]backup-simplify:  Simplify (/ 1 (- R)) into (/ -1 R)
* [misc]taylor:  Taking taylor expansion of (* (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2))))))) (/ 1 (- R))) in phi1
* [misc]taylor:  Taking taylor expansion of (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2))))))) in phi1
* [misc]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)))))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (- R)) in phi1
* [misc]taylor:  Taking taylor expansion of (- R) in phi1
* [misc]taylor:  Taking taylor expansion of R in phi1
* [misc]backup-simplify:  Simplify R into R
* [misc]backup-simplify:  Simplify (- R) into (- R)
* [misc]backup-simplify:  Simplify (- R) into (- R)
* [misc]backup-simplify:  Simplify (/ 1 (- R)) into (/ -1 R)
* [misc]taylor:  Taking taylor expansion of (* (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2))))))) (/ 1 (- R))) in phi1
* [misc]taylor:  Taking taylor expansion of (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2))))))) in phi1
* [misc]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)))))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (- R)) in phi1
* [misc]taylor:  Taking taylor expansion of (- R) in phi1
* [misc]taylor:  Taking taylor expansion of R in phi1
* [misc]backup-simplify:  Simplify R into R
* [misc]backup-simplify:  Simplify (- R) into (- R)
* [misc]backup-simplify:  Simplify (- R) into (- R)
* [misc]backup-simplify:  Simplify (/ 1 (- R)) into (/ -1 R)
* [misc]backup-simplify:  Simplify (* (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) (/ -1 R)) into (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R))
* [misc]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
* [misc]taylor:  Taking taylor expansion of -1 in phi2
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]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
* [misc]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
* [misc]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)))))))
* [misc]taylor:  Taking taylor expansion of R in phi2
* [misc]backup-simplify:  Simplify R into R
* [misc]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)
* [misc]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))
* [misc]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
* [misc]taylor:  Taking taylor expansion of -1 in lambda1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]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
* [misc]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
* [misc]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)))))))
* [misc]taylor:  Taking taylor expansion of R in lambda1
* [misc]backup-simplify:  Simplify R into R
* [misc]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)
* [misc]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))
* [misc]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
* [misc]taylor:  Taking taylor expansion of -1 in lambda2
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]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
* [misc]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
* [misc]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)))))))
* [misc]taylor:  Taking taylor expansion of R in lambda2
* [misc]backup-simplify:  Simplify R into R
* [misc]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)
* [misc]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))
* [misc]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
* [misc]taylor:  Taking taylor expansion of -1 in R
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]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
* [misc]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
* [misc]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)))))))
* [misc]taylor:  Taking taylor expansion of R in R
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]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)))))))
* [misc]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))))))))
* [misc]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))))))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- R) into (- R)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 R) (/ 0 (- R))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) 0) (* 0 (/ -1 R))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in R
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]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
* [misc]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
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in R
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]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
* [misc]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
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in R
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]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
* [misc]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
* [misc]taylor:  Taking taylor expansion of 0 in R
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]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
* [misc]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
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- R) into (- R)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- R) into (- R)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 R) (/ 0 (- R))) (* 0 (/ 0 (- R))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) 0) (+ (* 0 0) (* 0 (/ -1 R)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in R
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in R
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]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
* [misc]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
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in R
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in R
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in R
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]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
* [misc]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
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in R
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in R
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in R
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in R
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]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
* [misc]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
* [misc]taylor:  Taking taylor expansion of 0 in R
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]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
* [misc]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
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]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)
* * * * [misc]progress:  [ 4 / 4 ] generating series at (2 1 1 2)
* [misc]approximate:  Taking taylor expansion of (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))) in (phi1 phi2 lambda1 lambda2) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* (cos phi1) (cos phi2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (cos phi1) in lambda2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (cos phi1) into (cos phi1)
* [misc]backup-simplify:  Simplify (sin phi1) into (sin phi1)
* [misc]taylor:  Taking taylor expansion of (cos phi2) in lambda2
* [misc]taylor:  Taking taylor expansion of phi2 in lambda2
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (cos phi2) into (cos phi2)
* [misc]backup-simplify:  Simplify (sin phi2) into (sin phi2)
* [misc]taylor:  Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ lambda1 0) into lambda1
* [misc]backup-simplify:  Simplify (cos lambda1) into (cos lambda1)
* [misc]backup-simplify:  Simplify (sin lambda1) into (sin lambda1)
* [misc]taylor:  Taking taylor expansion of (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* (cos phi1) (cos phi2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (cos phi1) in lambda1
* [misc]taylor:  Taking taylor expansion of phi1 in lambda1
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (cos phi1) into (cos phi1)
* [misc]backup-simplify:  Simplify (sin phi1) into (sin phi1)
* [misc]taylor:  Taking taylor expansion of (cos phi2) in lambda1
* [misc]taylor:  Taking taylor expansion of phi2 in lambda1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (cos phi2) into (cos phi2)
* [misc]backup-simplify:  Simplify (sin phi2) into (sin phi2)
* [misc]taylor:  Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (+ 0 (- lambda2)) into (- lambda2)
* [misc]backup-simplify:  Simplify (cos (- lambda2)) into (cos (- lambda2))
* [misc]backup-simplify:  Simplify (sin (- lambda2)) into (sin (- lambda2))
* [misc]taylor:  Taking taylor expansion of (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (cos phi1) (cos phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (cos phi1) in phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (cos phi1) into (cos phi1)
* [misc]backup-simplify:  Simplify (sin phi1) into (sin phi1)
* [misc]taylor:  Taking taylor expansion of (cos phi2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (- lambda1 lambda2)) in phi2
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2)
* [misc]backup-simplify:  Simplify (cos (- lambda1 lambda2)) into (cos (- lambda1 lambda2))
* [misc]backup-simplify:  Simplify (sin (- lambda1 lambda2)) into (sin (- lambda1 lambda2))
* [misc]taylor:  Taking taylor expansion of (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))) in phi1
* [misc]taylor:  Taking taylor expansion of (* (cos phi1) (cos phi2)) in phi1
* [misc]taylor:  Taking taylor expansion of (cos phi1) in phi1
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos phi2) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (cos phi2) into (cos phi2)
* [misc]backup-simplify:  Simplify (sin phi2) into (sin phi2)
* [misc]taylor:  Taking taylor expansion of (cos (- lambda1 lambda2)) in phi1
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in phi1
* [misc]taylor:  Taking taylor expansion of lambda1 in phi1
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2)
* [misc]backup-simplify:  Simplify (cos (- lambda1 lambda2)) into (cos (- lambda1 lambda2))
* [misc]backup-simplify:  Simplify (sin (- lambda1 lambda2)) into (sin (- lambda1 lambda2))
* [misc]taylor:  Taking taylor expansion of (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))) in phi1
* [misc]taylor:  Taking taylor expansion of (* (cos phi1) (cos phi2)) in phi1
* [misc]taylor:  Taking taylor expansion of (cos phi1) in phi1
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos phi2) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (cos phi2) into (cos phi2)
* [misc]backup-simplify:  Simplify (sin phi2) into (sin phi2)
* [misc]taylor:  Taking taylor expansion of (cos (- lambda1 lambda2)) in phi1
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in phi1
* [misc]taylor:  Taking taylor expansion of lambda1 in phi1
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2)
* [misc]backup-simplify:  Simplify (cos (- lambda1 lambda2)) into (cos (- lambda1 lambda2))
* [misc]backup-simplify:  Simplify (sin (- lambda1 lambda2)) into (sin (- lambda1 lambda2))
* [misc]backup-simplify:  Simplify (* (cos phi2) 1) into (cos phi2)
* [misc]backup-simplify:  Simplify (* (sin phi2) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos phi2) 0) into (cos phi2)
* [misc]backup-simplify:  Simplify (* 1 (cos phi2)) into (cos phi2)
* [misc]backup-simplify:  Simplify (* (cos (- lambda1 lambda2)) 1) into (cos (- lambda1 lambda2))
* [misc]backup-simplify:  Simplify (* (sin (- lambda1 lambda2)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (- lambda1 lambda2)) 0) into (cos (- lambda1 lambda2))
* [misc]backup-simplify:  Simplify (* (cos phi2) (cos (- lambda1 lambda2))) into (* (cos (- lambda1 lambda2)) (cos phi2))
* [misc]taylor:  Taking taylor expansion of (* (cos (- lambda1 lambda2)) (cos phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (- lambda1 lambda2)) in phi2
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2)
* [misc]backup-simplify:  Simplify (cos (- lambda1 lambda2)) into (cos (- lambda1 lambda2))
* [misc]backup-simplify:  Simplify (sin (- lambda1 lambda2)) into (sin (- lambda1 lambda2))
* [misc]taylor:  Taking taylor expansion of (cos phi2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (cos (- lambda1 lambda2)) 1) into (cos (- lambda1 lambda2))
* [misc]backup-simplify:  Simplify (* (sin (- lambda1 lambda2)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (- lambda1 lambda2)) 0) into (cos (- lambda1 lambda2))
* [misc]backup-simplify:  Simplify (* (cos (- lambda1 lambda2)) 1) into (cos (- lambda1 lambda2))
* [misc]taylor:  Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (+ 0 (- lambda2)) into (- lambda2)
* [misc]backup-simplify:  Simplify (cos (- lambda2)) into (cos (- lambda2))
* [misc]backup-simplify:  Simplify (sin (- lambda2)) into (sin (- lambda2))
* [misc]backup-simplify:  Simplify (* (cos (- lambda2)) 1) into (cos (- lambda2))
* [misc]backup-simplify:  Simplify (* (sin (- lambda2)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (- lambda2)) 0) into (cos (- lambda2))
* [misc]taylor:  Taking taylor expansion of (cos (- lambda2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (- lambda2) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (- lambda1 lambda2)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (- lambda1 lambda2)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos phi2) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin phi2) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 (cos phi2))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos phi2) 0) (* 0 (cos (- lambda1 lambda2)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (- lambda1 lambda2)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (- lambda1 lambda2)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (- lambda1 lambda2)) 0) (* 0 1)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (- lambda2)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
* [misc]backup-simplify:  Simplify (+ (* (sin (- lambda2)) 1) (* 0 0)) into (sin (- lambda2))
* [misc]backup-simplify:  Simplify (- (sin (- lambda2))) into (- (sin (- lambda2)))
* [misc]backup-simplify:  Simplify (+ 0 (- (sin (- lambda2)))) into (- (sin (- lambda2)))
* [misc]taylor:  Taking taylor expansion of (- (sin (- lambda2))) in lambda2
* [misc]taylor:  Taking taylor expansion of (sin (- lambda2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (- lambda2) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (- lambda1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (- lambda1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2)
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* (- 1/2) (cos phi2)))) into (- (* 1/2 (cos phi2)))
* [misc]backup-simplify:  Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (* (- (* 1/2 (cos phi2))) (cos (- lambda1 lambda2))))) into (- (* 1/2 (* (cos (- lambda1 lambda2)) (cos phi2))))
* [misc]taylor:  Taking taylor expansion of (- (* 1/2 (* (cos (- lambda1 lambda2)) (cos phi2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (cos (- lambda1 lambda2)) (cos phi2))) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* (cos (- lambda1 lambda2)) (cos phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (- lambda1 lambda2)) in phi2
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2)
* [misc]backup-simplify:  Simplify (cos (- lambda1 lambda2)) into (cos (- lambda1 lambda2))
* [misc]backup-simplify:  Simplify (sin (- lambda1 lambda2)) into (sin (- lambda1 lambda2))
* [misc]taylor:  Taking taylor expansion of (cos phi2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (cos (- lambda1 lambda2)) 1) into (cos (- lambda1 lambda2))
* [misc]backup-simplify:  Simplify (* (sin (- lambda1 lambda2)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (- lambda1 lambda2)) 0) into (cos (- lambda1 lambda2))
* [misc]backup-simplify:  Simplify (* (cos (- lambda1 lambda2)) 1) into (cos (- lambda1 lambda2))
* [misc]backup-simplify:  Simplify (* 1/2 (cos (- lambda1 lambda2))) into (* 1/2 (cos (- lambda1 lambda2)))
* [misc]backup-simplify:  Simplify (- (* 1/2 (cos (- lambda1 lambda2)))) into (- (* 1/2 (cos (- lambda1 lambda2))))
* [misc]taylor:  Taking taylor expansion of (- (* 1/2 (cos (- lambda1 lambda2)))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* 1/2 (cos (- lambda1 lambda2))) in lambda1
* [misc]taylor:  Taking taylor expansion of 1/2 in lambda1
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (+ 0 (- lambda2)) into (- lambda2)
* [misc]backup-simplify:  Simplify (cos (- lambda2)) into (cos (- lambda2))
* [misc]backup-simplify:  Simplify (sin (- lambda2)) into (sin (- lambda2))
* [misc]backup-simplify:  Simplify (* (cos (- lambda2)) 1) into (cos (- lambda2))
* [misc]backup-simplify:  Simplify (* (sin (- lambda2)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (- lambda2)) 0) into (cos (- lambda2))
* [misc]backup-simplify:  Simplify (* 1/2 (cos (- lambda2))) into (* 1/2 (cos (- lambda2)))
* [misc]backup-simplify:  Simplify (- (* 1/2 (cos (- lambda2)))) into (- (* 1/2 (cos (- lambda2))))
* [misc]taylor:  Taking taylor expansion of (- (* 1/2 (cos (- lambda2)))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* 1/2 (cos (- lambda2))) in lambda2
* [misc]taylor:  Taking taylor expansion of 1/2 in lambda2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (cos (- lambda2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (- lambda2) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (- 1/2) into -1/2
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2)
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (- lambda1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (- lambda1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (- lambda1 lambda2)) (- 1/2)) (+ (* 0 0) (* 0 1))) into (- (* 1/2 (cos (- lambda1 lambda2))))
* [misc]taylor:  Taking taylor expansion of (- (* 1/2 (cos (- lambda1 lambda2)))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* 1/2 (cos (- lambda1 lambda2))) in lambda1
* [misc]taylor:  Taking taylor expansion of 1/2 in lambda1
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (- lambda1 lambda2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (+ 0 (- lambda2)) into (- lambda2)
* [misc]backup-simplify:  Simplify (cos (- lambda2)) into (cos (- lambda2))
* [misc]backup-simplify:  Simplify (sin (- lambda2)) into (sin (- lambda2))
* [misc]backup-simplify:  Simplify (* (cos (- lambda2)) 1) into (cos (- lambda2))
* [misc]backup-simplify:  Simplify (* (sin (- lambda2)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (- lambda2)) 0) into (cos (- lambda2))
* [misc]backup-simplify:  Simplify (* 1/2 (cos (- lambda2))) into (* 1/2 (cos (- lambda2)))
* [misc]backup-simplify:  Simplify (- (* 1/2 (cos (- lambda2)))) into (- (* 1/2 (cos (- lambda2))))
* [misc]taylor:  Taking taylor expansion of (- (* 1/2 (cos (- lambda2)))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* 1/2 (cos (- lambda2))) in lambda2
* [misc]taylor:  Taking taylor expansion of 1/2 in lambda2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (cos (- lambda2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (- lambda2) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (- 1/2) into -1/2
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]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))))
* [misc]approximate:  Taking taylor expansion of (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (cos (- (/ 1 lambda1) (/ 1 lambda2)))) in (phi1 phi2 lambda1 lambda2) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (cos (- (/ 1 lambda1) (/ 1 lambda2)))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) in lambda2
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 phi1)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in lambda2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]backup-simplify:  Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1))
* [misc]backup-simplify:  Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1))
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 phi2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in lambda2
* [misc]taylor:  Taking taylor expansion of phi2 in lambda2
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]backup-simplify:  Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2))
* [misc]backup-simplify:  Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2))
* [misc]taylor:  Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2
* [misc]taylor:  Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda1) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (/ 1 lambda1) into (/ 1 lambda1)
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda2) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2)))
* [misc]taylor:  Taking taylor expansion of (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (cos (- (/ 1 lambda1) (/ 1 lambda2)))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 phi1)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in lambda1
* [misc]taylor:  Taking taylor expansion of phi1 in lambda1
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]backup-simplify:  Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1))
* [misc]backup-simplify:  Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1))
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 phi2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in lambda1
* [misc]taylor:  Taking taylor expansion of phi2 in lambda1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]backup-simplify:  Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2))
* [misc]backup-simplify:  Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2))
* [misc]taylor:  Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda1) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (/ 1 lambda2) into (/ 1 lambda2)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2)))
* [misc]taylor:  Taking taylor expansion of (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (cos (- (/ 1 lambda1) (/ 1 lambda2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 phi1)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]backup-simplify:  Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1))
* [misc]backup-simplify:  Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1))
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2))
* [misc]taylor:  Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in phi2
* [misc]taylor:  Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda1) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (/ 1 lambda1) into (/ 1 lambda1)
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (/ 1 lambda2) into (/ 1 lambda2)
* [misc]backup-simplify:  Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (+ (/ 1 lambda1) (- (/ 1 lambda2))) into (- (/ 1 lambda1) (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2)))
* [misc]backup-simplify:  Simplify (sin (- (/ 1 lambda1) (/ 1 lambda2))) into (sin (- (/ 1 lambda1) (/ 1 lambda2)))
* [misc]taylor:  Taking taylor expansion of (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (cos (- (/ 1 lambda1) (/ 1 lambda2)))) in phi1
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) in phi1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 phi1)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in phi1
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1))
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 phi2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]backup-simplify:  Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2))
* [misc]backup-simplify:  Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2))
* [misc]taylor:  Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in phi1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda1) in phi1
* [misc]taylor:  Taking taylor expansion of lambda1 in phi1
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (/ 1 lambda1) into (/ 1 lambda1)
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda2) in phi1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (/ 1 lambda2) into (/ 1 lambda2)
* [misc]backup-simplify:  Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (+ (/ 1 lambda1) (- (/ 1 lambda2))) into (- (/ 1 lambda1) (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2)))
* [misc]backup-simplify:  Simplify (sin (- (/ 1 lambda1) (/ 1 lambda2))) into (sin (- (/ 1 lambda1) (/ 1 lambda2)))
* [misc]taylor:  Taking taylor expansion of (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (cos (- (/ 1 lambda1) (/ 1 lambda2)))) in phi1
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) in phi1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 phi1)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in phi1
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1))
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 phi2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]backup-simplify:  Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2))
* [misc]backup-simplify:  Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2))
* [misc]taylor:  Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in phi1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda1) in phi1
* [misc]taylor:  Taking taylor expansion of lambda1 in phi1
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (/ 1 lambda1) into (/ 1 lambda1)
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda2) in phi1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (/ 1 lambda2) into (/ 1 lambda2)
* [misc]backup-simplify:  Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (+ (/ 1 lambda1) (- (/ 1 lambda2))) into (- (/ 1 lambda1) (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2)))
* [misc]backup-simplify:  Simplify (sin (- (/ 1 lambda1) (/ 1 lambda2))) into (sin (- (/ 1 lambda1) (/ 1 lambda2)))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 phi2)) 1) into (cos (/ 1 phi2))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 phi2)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1 phi2)) 0) into (cos (/ 1 phi2))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) into (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))
* [misc]backup-simplify:  Simplify (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) 1) into (cos (- (/ 1 lambda1) (/ 1 lambda2)))
* [misc]backup-simplify:  Simplify (* (sin (- (/ 1 lambda1) (/ 1 lambda2))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (- (/ 1 lambda1) (/ 1 lambda2))) 0) into (cos (- (/ 1 lambda1) (/ 1 lambda2)))
* [misc]backup-simplify:  Simplify (* (* (cos (/ 1 phi2)) (cos (/ 1 phi1))) (cos (- (/ 1 lambda1) (/ 1 lambda2)))) into (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))))
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2))
* [misc]taylor:  Taking taylor expansion of (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in phi2
* [misc]taylor:  Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda1) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (/ 1 lambda1) into (/ 1 lambda1)
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (/ 1 lambda2) into (/ 1 lambda2)
* [misc]backup-simplify:  Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (+ (/ 1 lambda1) (- (/ 1 lambda2))) into (- (/ 1 lambda1) (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2)))
* [misc]backup-simplify:  Simplify (sin (- (/ 1 lambda1) (/ 1 lambda2))) into (sin (- (/ 1 lambda1) (/ 1 lambda2)))
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 phi1)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]backup-simplify:  Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1))
* [misc]backup-simplify:  Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1))
* [misc]backup-simplify:  Simplify (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) 1) into (cos (- (/ 1 lambda1) (/ 1 lambda2)))
* [misc]backup-simplify:  Simplify (* (sin (- (/ 1 lambda1) (/ 1 lambda2))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (- (/ 1 lambda1) (/ 1 lambda2))) 0) into (cos (- (/ 1 lambda1) (/ 1 lambda2)))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 phi1)) 1) into (cos (/ 1 phi1))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 phi1)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1 phi1)) 0) into (cos (/ 1 phi1))
* [misc]backup-simplify:  Simplify (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))) into (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))) into (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))))
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))) in lambda1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 phi2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in lambda1
* [misc]taylor:  Taking taylor expansion of phi2 in lambda1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]backup-simplify:  Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2))
* [misc]backup-simplify:  Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2))
* [misc]taylor:  Taking taylor expansion of (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))) in lambda1
* [misc]taylor:  Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda1) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (/ 1 lambda2) into (/ 1 lambda2)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2)))
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 phi1)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in lambda1
* [misc]taylor:  Taking taylor expansion of phi1 in lambda1
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]backup-simplify:  Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1))
* [misc]backup-simplify:  Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 phi2)) 1) into (cos (/ 1 phi2))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 phi2)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1 phi2)) 0) into (cos (/ 1 phi2))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 phi1)) 1) into (cos (/ 1 phi1))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 phi1)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1 phi1)) 0) into (cos (/ 1 phi1))
* [misc]backup-simplify:  Simplify (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))) into (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))) into (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))))
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))) in lambda2
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 phi2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in lambda2
* [misc]taylor:  Taking taylor expansion of phi2 in lambda2
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]backup-simplify:  Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2))
* [misc]backup-simplify:  Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2))
* [misc]taylor:  Taking taylor expansion of (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))) in lambda2
* [misc]taylor:  Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2
* [misc]taylor:  Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda1) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (/ 1 lambda1) into (/ 1 lambda1)
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda2) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2)))
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 phi1)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in lambda2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]backup-simplify:  Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1))
* [misc]backup-simplify:  Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 phi2)) 1) into (cos (/ 1 phi2))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 phi2)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1 phi2)) 0) into (cos (/ 1 phi2))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 phi1)) 1) into (cos (/ 1 phi1))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 phi1)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1 phi1)) 0) into (cos (/ 1 phi1))
* [misc]backup-simplify:  Simplify (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))) into (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))) into (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))) into (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (- (/ 1 lambda1) (/ 1 lambda2))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 phi1)) 0) (* 0 (cos (/ 1 phi2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* (cos (/ 1 phi2)) (cos (/ 1 phi1))) 0) (* 0 (cos (- (/ 1 lambda1) (/ 1 lambda2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 phi1)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (- (/ 1 lambda1) (/ 1 lambda2))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) 0) (* 0 (cos (/ 1 phi1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 phi1)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) 0) (* 0 (cos (/ 1 phi1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 phi1)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) 0) (* 0 (cos (/ 1 phi1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (- (/ 1 lambda1) (/ 1 lambda2))) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 phi1)) 0) (+ (* 0 0) (* 0 (cos (/ 1 phi2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* (cos (/ 1 phi2)) (cos (/ 1 phi1))) 0) (+ (* 0 0) (* 0 (cos (- (/ 1 lambda1) (/ 1 lambda2)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (cos (/ 1 (/ 1 phi2))) (* (cos (- (/ 1 (/ 1 lambda1)) (/ 1 (/ 1 lambda2)))) (cos (/ 1 (/ 1 phi1))))) into (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2)))
* [misc]approximate:  Taking taylor expansion of (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2))))) in (phi1 phi2 lambda1 lambda2) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2))))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) in lambda2
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- phi1))) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi1)) in lambda2
* [misc]taylor:  Taking taylor expansion of (- phi1) in lambda2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (/ 1 (- phi1)) into (/ -1 phi1)
* [misc]backup-simplify:  Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1))
* [misc]backup-simplify:  Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1))
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- phi2))) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (- phi2) in lambda2
* [misc]taylor:  Taking taylor expansion of phi2 in lambda2
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (/ 1 (- phi2)) into (/ -1 phi2)
* [misc]backup-simplify:  Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2))
* [misc]backup-simplify:  Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2))
* [misc]taylor:  Taking taylor expansion of (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2)))) in lambda2
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda1)) in lambda2
* [misc]taylor:  Taking taylor expansion of (- lambda1) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda1)) into (/ -1 lambda1)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (- lambda2) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (- -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2)))) into (cos (- (/ 1 lambda2) (/ 1 lambda1)))
* [misc]taylor:  Taking taylor expansion of (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) in lambda1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- phi1))) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi1)) in lambda1
* [misc]taylor:  Taking taylor expansion of (- phi1) in lambda1
* [misc]taylor:  Taking taylor expansion of phi1 in lambda1
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (/ 1 (- phi1)) into (/ -1 phi1)
* [misc]backup-simplify:  Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1))
* [misc]backup-simplify:  Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1))
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- phi2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (- phi2) in lambda1
* [misc]taylor:  Taking taylor expansion of phi2 in lambda1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (/ 1 (- phi2)) into (/ -1 phi2)
* [misc]backup-simplify:  Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2))
* [misc]backup-simplify:  Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2))
* [misc]taylor:  Taking taylor expansion of (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2)))) in lambda1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda1)) in lambda1
* [misc]taylor:  Taking taylor expansion of (- lambda1) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (- lambda2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda2)) into (/ -1 lambda2)
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2)))) into (cos (- (/ 1 lambda2) (/ 1 lambda1)))
* [misc]taylor:  Taking taylor expansion of (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- phi1))) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi1)) in phi2
* [misc]taylor:  Taking taylor expansion of (- phi1) in phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (/ 1 (- phi1)) into (/ -1 phi1)
* [misc]backup-simplify:  Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1))
* [misc]backup-simplify:  Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1))
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- phi2))) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (- phi2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (cos (/ 1 (- phi2))) into (cos (/ -1 phi2))
* [misc]taylor:  Taking taylor expansion of (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda1)) in phi2
* [misc]taylor:  Taking taylor expansion of (- lambda1) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda1)) into (/ -1 lambda1)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda2)) in phi2
* [misc]taylor:  Taking taylor expansion of (- lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda2)) into (/ -1 lambda2)
* [misc]backup-simplify:  Simplify (- (/ -1 lambda2)) into (/ 1 lambda2)
* [misc]backup-simplify:  Simplify (+ (/ -1 lambda1) (/ 1 lambda2)) into (- (/ 1 lambda2) (/ 1 lambda1))
* [misc]backup-simplify:  Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1)))
* [misc]backup-simplify:  Simplify (sin (- (/ 1 lambda2) (/ 1 lambda1))) into (sin (- (/ 1 lambda2) (/ 1 lambda1)))
* [misc]taylor:  Taking taylor expansion of (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2))))) in phi1
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) in phi1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- phi1))) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi1)) in phi1
* [misc]taylor:  Taking taylor expansion of (- phi1) in phi1
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (cos (/ 1 (- phi1))) into (cos (/ -1 phi1))
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- phi2))) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi2)) in phi1
* [misc]taylor:  Taking taylor expansion of (- phi2) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (/ 1 (- phi2)) into (/ -1 phi2)
* [misc]backup-simplify:  Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2))
* [misc]backup-simplify:  Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2))
* [misc]taylor:  Taking taylor expansion of (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2)))) in phi1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda1)) in phi1
* [misc]taylor:  Taking taylor expansion of (- lambda1) in phi1
* [misc]taylor:  Taking taylor expansion of lambda1 in phi1
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda1)) into (/ -1 lambda1)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda2)) in phi1
* [misc]taylor:  Taking taylor expansion of (- lambda2) in phi1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda2)) into (/ -1 lambda2)
* [misc]backup-simplify:  Simplify (- (/ -1 lambda2)) into (/ 1 lambda2)
* [misc]backup-simplify:  Simplify (+ (/ -1 lambda1) (/ 1 lambda2)) into (- (/ 1 lambda2) (/ 1 lambda1))
* [misc]backup-simplify:  Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1)))
* [misc]backup-simplify:  Simplify (sin (- (/ 1 lambda2) (/ 1 lambda1))) into (sin (- (/ 1 lambda2) (/ 1 lambda1)))
* [misc]taylor:  Taking taylor expansion of (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2))))) in phi1
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) in phi1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- phi1))) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi1)) in phi1
* [misc]taylor:  Taking taylor expansion of (- phi1) in phi1
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (cos (/ 1 (- phi1))) into (cos (/ -1 phi1))
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- phi2))) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi2)) in phi1
* [misc]taylor:  Taking taylor expansion of (- phi2) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (/ 1 (- phi2)) into (/ -1 phi2)
* [misc]backup-simplify:  Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2))
* [misc]backup-simplify:  Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2))
* [misc]taylor:  Taking taylor expansion of (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2)))) in phi1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda1)) in phi1
* [misc]taylor:  Taking taylor expansion of (- lambda1) in phi1
* [misc]taylor:  Taking taylor expansion of lambda1 in phi1
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda1)) into (/ -1 lambda1)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda2)) in phi1
* [misc]taylor:  Taking taylor expansion of (- lambda2) in phi1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda2)) into (/ -1 lambda2)
* [misc]backup-simplify:  Simplify (- (/ -1 lambda2)) into (/ 1 lambda2)
* [misc]backup-simplify:  Simplify (+ (/ -1 lambda1) (/ 1 lambda2)) into (- (/ 1 lambda2) (/ 1 lambda1))
* [misc]backup-simplify:  Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1)))
* [misc]backup-simplify:  Simplify (sin (- (/ 1 lambda2) (/ 1 lambda1))) into (sin (- (/ 1 lambda2) (/ 1 lambda1)))
* [misc]backup-simplify:  Simplify (* (cos (/ -1 phi2)) 1) into (cos (/ -1 phi2))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 phi2)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1 phi2)) 0) into (cos (/ -1 phi2))
* [misc]backup-simplify:  Simplify (* (cos (/ -1 phi1)) (cos (/ -1 phi2))) into (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))
* [misc]backup-simplify:  Simplify (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) 1) into (cos (- (/ 1 lambda2) (/ 1 lambda1)))
* [misc]backup-simplify:  Simplify (* (sin (- (/ 1 lambda2) (/ 1 lambda1))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (- (/ 1 lambda2) (/ 1 lambda1))) 0) into (cos (- (/ 1 lambda2) (/ 1 lambda1)))
* [misc]backup-simplify:  Simplify (* (* (cos (/ -1 phi1)) (cos (/ -1 phi2))) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) into (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))
* [misc]taylor:  Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (/ -1 phi1)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ -1 phi1) in phi2
* [misc]taylor:  Taking taylor expansion of -1 in phi2
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ -1 phi1) into (/ -1 phi1)
* [misc]backup-simplify:  Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1))
* [misc]backup-simplify:  Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1))
* [misc]taylor:  Taking taylor expansion of (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (/ -1 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ -1 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of -1 in phi2
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ -1 1) into -1
* [misc]backup-simplify:  Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2))
* [misc]taylor:  Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in phi2
* [misc]taylor:  Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (/ 1 lambda2) into (/ 1 lambda2)
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda1) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (/ 1 lambda1) into (/ 1 lambda1)
* [misc]backup-simplify:  Simplify (- (/ 1 lambda1)) into (- (/ 1 lambda1))
* [misc]backup-simplify:  Simplify (+ (/ 1 lambda2) (- (/ 1 lambda1))) into (- (/ 1 lambda2) (/ 1 lambda1))
* [misc]backup-simplify:  Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1)))
* [misc]backup-simplify:  Simplify (sin (- (/ 1 lambda2) (/ 1 lambda1))) into (sin (- (/ 1 lambda2) (/ 1 lambda1)))
* [misc]backup-simplify:  Simplify (* (cos (/ -1 phi1)) 1) into (cos (/ -1 phi1))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 phi1)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1 phi1)) 0) into (cos (/ -1 phi1))
* [misc]backup-simplify:  Simplify (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) 1) into (cos (- (/ 1 lambda2) (/ 1 lambda1)))
* [misc]backup-simplify:  Simplify (* (sin (- (/ 1 lambda2) (/ 1 lambda1))) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (- (/ 1 lambda2) (/ 1 lambda1))) 0) into (cos (- (/ 1 lambda2) (/ 1 lambda1)))
* [misc]backup-simplify:  Simplify (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) into (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))
* [misc]backup-simplify:  Simplify (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) into (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))
* [misc]taylor:  Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (cos (/ -1 phi1)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ -1 phi1) in lambda1
* [misc]taylor:  Taking taylor expansion of -1 in lambda1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of phi1 in lambda1
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ -1 phi1) into (/ -1 phi1)
* [misc]backup-simplify:  Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1))
* [misc]backup-simplify:  Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1))
* [misc]taylor:  Taking taylor expansion of (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) in lambda1
* [misc]taylor:  Taking taylor expansion of (cos (/ -1 phi2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ -1 phi2) in lambda1
* [misc]taylor:  Taking taylor expansion of -1 in lambda1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of phi2 in lambda1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ -1 phi2) into (/ -1 phi2)
* [misc]backup-simplify:  Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2))
* [misc]backup-simplify:  Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2))
* [misc]taylor:  Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (/ 1 lambda2) into (/ 1 lambda2)
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda1) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1)))
* [misc]backup-simplify:  Simplify (* (cos (/ -1 phi1)) 1) into (cos (/ -1 phi1))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 phi1)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1 phi1)) 0) into (cos (/ -1 phi1))
* [misc]backup-simplify:  Simplify (* (cos (/ -1 phi2)) 1) into (cos (/ -1 phi2))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 phi2)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1 phi2)) 0) into (cos (/ -1 phi2))
* [misc]backup-simplify:  Simplify (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) into (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))
* [misc]backup-simplify:  Simplify (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) into (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))
* [misc]taylor:  Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in lambda2
* [misc]taylor:  Taking taylor expansion of (cos (/ -1 phi1)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ -1 phi1) in lambda2
* [misc]taylor:  Taking taylor expansion of -1 in lambda2
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of phi1 in lambda2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ -1 phi1) into (/ -1 phi1)
* [misc]backup-simplify:  Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1))
* [misc]backup-simplify:  Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1))
* [misc]taylor:  Taking taylor expansion of (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) in lambda2
* [misc]taylor:  Taking taylor expansion of (cos (/ -1 phi2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ -1 phi2) in lambda2
* [misc]taylor:  Taking taylor expansion of -1 in lambda2
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of phi2 in lambda2
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ -1 phi2) into (/ -1 phi2)
* [misc]backup-simplify:  Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2))
* [misc]backup-simplify:  Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2))
* [misc]taylor:  Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2
* [misc]taylor:  Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda2) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda1) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (/ 1 lambda1) into (/ 1 lambda1)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1)))
* [misc]backup-simplify:  Simplify (* (cos (/ -1 phi1)) 1) into (cos (/ -1 phi1))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 phi1)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1 phi1)) 0) into (cos (/ -1 phi1))
* [misc]backup-simplify:  Simplify (* (cos (/ -1 phi2)) 1) into (cos (/ -1 phi2))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 phi2)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1 phi2)) 0) into (cos (/ -1 phi2))
* [misc]backup-simplify:  Simplify (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) into (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))
* [misc]backup-simplify:  Simplify (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) into (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))
* [misc]backup-simplify:  Simplify (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) into (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 lambda1) (/ 0 (- lambda1))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 lambda2) (/ 0 (- lambda2))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (- (/ 1 lambda2) (/ 1 lambda1))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 phi2) (/ 0 (- phi2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 phi2)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 (cos (/ -1 phi2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* (cos (/ -1 phi1)) (cos (/ -1 phi2))) 0) (* 0 (cos (- (/ 1 lambda2) (/ 1 lambda1))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (- (/ 1 lambda2) (/ 1 lambda1))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 (cos (- (/ 1 lambda2) (/ 1 lambda1))))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 phi2)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 (cos (- (/ 1 lambda2) (/ 1 lambda1))))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 phi2)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 (cos (- (/ 1 lambda2) (/ 1 lambda1))))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 lambda1) (/ 0 (- lambda1))) (* 0 (/ 0 (- lambda1))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 lambda2) (/ 0 (- lambda2))) (* 0 (/ 0 (- lambda2))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (- (/ 1 lambda2) (/ 1 lambda1))) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 phi2) (/ 0 (- phi2))) (* 0 (/ 0 (- phi2))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (cos (/ -1 phi2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* (cos (/ -1 phi1)) (cos (/ -1 phi2))) 0) (+ (* 0 0) (* 0 (cos (- (/ 1 lambda2) (/ 1 lambda1)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (cos (- (/ 1 (/ 1 (- lambda2))) (/ 1 (/ 1 (- lambda1))))))) into (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2)))
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 62 ] 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))>
* [enter]simplify:  Simplifying (* (cos lambda1) (cos (- lambda2)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* [exit]simplify:  Simplified to (* (cos lambda1) (cos lambda2))
* [misc]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))
* * * * [misc]progress:  [ 2 / 62 ] 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))>
* [enter]simplify:  Simplifying (* (cos lambda1) (cos (- lambda2)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* [exit]simplify:  Simplified to (* (cos lambda1) (cos lambda2))
* [misc]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))
* * * * [misc]progress:  [ 3 / 62 ] 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))>
* [enter]simplify:  Simplifying (* (cos lambda1) (cos lambda2))
* * [misc]simplify:  iters left: 3 (5 enodes)
* * [misc]simplify:  iters left: 2 (6 enodes)
* [exit]simplify:  Simplified to (* (cos lambda2) (cos lambda1))
* [misc]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))
* * * * [misc]progress:  [ 4 / 62 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (pow (cos (- lambda1 lambda2)) 1)))) R))>
* * * * [misc]progress:  [ 5 / 62 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (exp (log (cos (- lambda1 lambda2))))))) R))>
* * * * [misc]progress:  [ 6 / 62 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (log (exp (cos (- lambda1 lambda2))))))) R))>
* * * * [misc]progress:  [ 7 / 62 ] 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))>
* * * * [misc]progress:  [ 8 / 62 ] 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))>
* * * * [misc]progress:  [ 9 / 62 ] 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))>
* * * * [misc]progress:  [ 10 / 62 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (* 1 (cos (- lambda1 lambda2)))))) R))>
* * * * [misc]progress:  [ 11 / 62 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) R))>
* * * * [misc]progress:  [ 12 / 62 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (pow (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) 1) R))>
* * * * [misc]progress:  [ 13 / 62 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))) R))>
* * * * [misc]progress:  [ 14 / 62 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))) R))>
* * * * [misc]progress:  [ 15 / 62 ] 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))>
* * * * [misc]progress:  [ 16 / 62 ] 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))>
* * * * [misc]progress:  [ 17 / 62 ] 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))>
* * * * [misc]progress:  [ 18 / 62 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* 1 (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) R))>
* * * * [misc]progress:  [ 19 / 62 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) 1))>
* * * * [misc]progress:  [ 20 / 62 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (exp (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))))>
* * * * [misc]progress:  [ 21 / 62 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (log (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))))>
* * * * [misc]progress:  [ 22 / 62 ] 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))))>
* * * * [misc]progress:  [ 23 / 62 ] 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))))>
* * * * [misc]progress:  [ 24 / 62 ] 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))))>
* * * * [misc]progress:  [ 25 / 62 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* 1 (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)))>
* * * * [misc]progress:  [ 26 / 62 ] 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)))>
* [enter]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)))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* [exit]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))))))
* [misc]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)))
* * * * [misc]progress:  [ 27 / 62 ] 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)))>
* [enter]simplify:  Simplifying (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* [exit]simplify:  Simplified to (sqrt (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))
* [misc]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)))
* * * * [misc]progress:  [ 28 / 62 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* 1 (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)))>
* * * * [misc]progress:  [ 29 / 62 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))))>
* * * * [misc]progress:  [ 30 / 62 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (pow (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))) 1))) R))>
* [enter]simplify:  Simplifying (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (24 enodes)
* [exit]simplify:  Simplified to (* (* (cos phi2) (cos phi1)) (cos (- lambda1 lambda2)))
* [misc]simplify:  Simplified (2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (pow (* (* (cos phi2) (cos phi1)) (cos (- lambda1 lambda2))) 1))) R))
* * * * [misc]progress:  [ 31 / 62 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (pow (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))) 1))) R))>
* [enter]simplify:  Simplifying (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (24 enodes)
* [exit]simplify:  Simplified to (* (* (cos phi2) (cos phi1)) (cos (- lambda1 lambda2)))
* [misc]simplify:  Simplified (2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (pow (* (* (cos phi2) (cos phi1)) (cos (- lambda1 lambda2))) 1))) R))
* * * * [misc]progress:  [ 32 / 62 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (pow (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))) 1))) R))>
* * * * [misc]progress:  [ 33 / 62 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (exp (+ (+ (log (cos phi1)) (log (cos phi2))) (log (cos (- lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (+ (+ (log (cos phi1)) (log (cos phi2))) (log (cos (- lambda1 lambda2))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* [exit]simplify:  Simplified to (+ (+ (log (cos phi2)) (log (cos phi1))) (log (cos (- lambda1 lambda2))))
* [misc]simplify:  Simplified (2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (exp (+ (+ (log (cos phi2)) (log (cos phi1))) (log (cos (- lambda1 lambda2))))))) R))
* * * * [misc]progress:  [ 34 / 62 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (exp (+ (log (* (cos phi1) (cos phi2))) (log (cos (- lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (+ (log (* (cos phi1) (cos phi2))) (log (cos (- lambda1 lambda2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* [exit]simplify:  Simplified to (+ (log (cos (- lambda1 lambda2))) (log (* (cos phi2) (cos phi1))))
* [misc]simplify:  Simplified (2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (exp (+ (log (cos (- lambda1 lambda2))) (log (* (cos phi2) (cos phi1))))))) R))
* * * * [misc]progress:  [ 35 / 62 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (exp (log (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))) R))>
* * * * [misc]progress:  [ 36 / 62 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (log (exp (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))) R))>
* * * * [misc]progress:  [ 37 / 62 ] 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 lambda2)) (cos (- lambda1 lambda2))) (cos (- lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (* (* (* (* (cos phi1) (cos phi1)) (cos phi1)) (* (* (cos phi2) (cos phi2)) (cos phi2))) (* (* (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2))) (cos (- lambda1 lambda2))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (97 enodes)
* * [misc]simplify:  iters left: 3 (307 enodes)
* [exit]simplify:  Simplified to (* (pow (cos (- lambda1 lambda2)) 3) (* (pow (cos phi1) 3) (pow (cos phi2) 3)))
* [misc]simplify:  Simplified (2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (cbrt (* (pow (cos (- lambda1 lambda2)) 3) (* (pow (cos phi1) 3) (pow (cos phi2) 3)))))) R))
* * * * [misc]progress:  [ 38 / 62 ] 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 lambda2)) (cos (- lambda1 lambda2))) (cos (- lambda1 lambda2))))))) R))>
* [enter]simplify:  Simplifying (* (* (* (* (cos phi1) (cos phi2)) (* (cos phi1) (cos phi2))) (* (cos phi1) (cos phi2))) (* (* (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2))) (cos (- lambda1 lambda2))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (83 enodes)
* * [misc]simplify:  iters left: 3 (242 enodes)
* [exit]simplify:  Simplified to (* (pow (cos (- lambda1 lambda2)) 3) (pow (* (cos phi2) (cos phi1)) 3))
* [misc]simplify:  Simplified (2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (cbrt (* (pow (cos (- lambda1 lambda2)) 3) (pow (* (cos phi2) (cos phi1)) 3))))) R))
* * * * [misc]progress:  [ 39 / 62 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cbrt (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))) (cbrt (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (cbrt (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))) R))>
* * * * [misc]progress:  [ 40 / 62 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (cbrt (* (* (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))) R))>
* * * * [misc]progress:  [ 41 / 62 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (sqrt (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))) (sqrt (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))) R))>
* * * * [misc]progress:  [ 42 / 62 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* 1 (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) R))>
* * * * [misc]progress:  [ 43 / 62 ] 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))>
* [enter]simplify:  Simplifying (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (37 enodes)
* * [misc]simplify:  iters left: 2 (61 enodes)
* * [misc]simplify:  iters left: 1 (83 enodes)
* [exit]simplify:  Simplified to (* (* (sin lambda2) (cos phi2)) (* (sin lambda1) (cos phi1)))
* [misc]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))) (* (* (sin lambda2) (cos phi2)) (* (sin lambda1) (cos phi1)))))) R))
* * * * [misc]progress:  [ 44 / 62 ] 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))>
* [enter]simplify:  Simplifying (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (37 enodes)
* * [misc]simplify:  iters left: 2 (61 enodes)
* * [misc]simplify:  iters left: 1 (83 enodes)
* [exit]simplify:  Simplified to (* (* (cos phi2) (sin lambda2)) (* (cos phi1) (sin lambda1)))
* [misc]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))) (* (* (cos phi2) (sin lambda2)) (* (cos phi1) (sin lambda1)))))) R))
* * * * [misc]progress:  [ 45 / 62 ] 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))>
* [enter]simplify:  Simplifying (cbrt (cos (- lambda1 lambda2)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* * [misc]simplify:  iters left: 2 (8 enodes)
* [exit]simplify:  Simplified to (cbrt (cos (- lambda1 lambda2)))
* [misc]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 lambda2))) (cbrt (cos (- lambda1 lambda2))))) (cbrt (cos (- lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 46 / 62 ] 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))>
* [enter]simplify:  Simplifying (sqrt (cos (- lambda1 lambda2)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* * [misc]simplify:  iters left: 2 (8 enodes)
* [exit]simplify:  Simplified to (sqrt (cos (- lambda1 lambda2)))
* [misc]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 lambda2)))) (sqrt (cos (- lambda1 lambda2)))))) R))
* * * * [misc]progress:  [ 47 / 62 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (* (cos phi1) (cos phi2)) 1) (cos (- lambda1 lambda2))))) R))>
* [enter]simplify:  Simplifying (cos (- lambda1 lambda2))
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (6 enodes)
* * [misc]simplify:  iters left: 1 (7 enodes)
* [exit]simplify:  Simplified to (cos (- lambda1 lambda2))
* [misc]simplify:  Simplified (2 1 1 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (* (cos phi1) (cos phi2)) 1) (cos (- lambda1 lambda2))))) R))
* * * * [misc]progress:  [ 48 / 62 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2)))))) R))>
* [enter]simplify:  Simplifying (cos phi1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (cos phi1)
* [misc]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 lambda2)))))) R))
* * * * [misc]progress:  [ 49 / 62 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (/ (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (cos (- lambda1 lambda2))) 2))) R))>
* [enter]simplify:  Simplifying (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (cos (- lambda1 lambda2)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* [exit]simplify:  Simplified to (* (cos (- lambda1 lambda2)) (+ (cos (+ phi2 phi1)) (cos (- phi1 phi2))))
* [misc]simplify:  Simplified (2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (/ (* (cos (- lambda1 lambda2)) (+ (cos (+ phi2 phi1)) (cos (- phi1 phi2)))) 2))) R))
* * * * [misc]progress:  [ 50 / 62 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R))>
* * * * [misc]progress:  [ 51 / 62 ] 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))>
* [enter]simplify:  Simplifying (- (+ 1 (* lambda2 lambda1)) (* 1/2 (pow lambda1 2)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (60 enodes)
* * [misc]simplify:  iters left: 2 (72 enodes)
* * [misc]simplify:  iters left: 1 (75 enodes)
* [exit]simplify:  Simplified to (- (+ (* lambda1 lambda2) 1) (* (* lambda1 1/2) lambda1))
* [misc]simplify:  Simplified (2 1 1 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (+ (* lambda1 lambda2) 1) (* (* lambda1 1/2) lambda1))))) R))
* * * * [misc]progress:  [ 52 / 62 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
* [enter]simplify:  Simplifying (cos (- lambda1 lambda2))
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (6 enodes)
* * [misc]simplify:  iters left: 1 (7 enodes)
* [exit]simplify:  Simplified to (cos (- lambda1 lambda2))
* [misc]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))
* * * * [misc]progress:  [ 53 / 62 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
* [enter]simplify:  Simplifying (cos (- lambda1 lambda2))
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (6 enodes)
* * [misc]simplify:  iters left: 1 (7 enodes)
* [exit]simplify:  Simplified to (cos (- lambda1 lambda2))
* [misc]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))
* * * * [misc]progress:  [ 54 / 62 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R))>
* [enter]simplify:  Simplifying (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* [exit]simplify:  Simplified to (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))
* [misc]simplify:  Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))
* * * * [misc]progress:  [ 55 / 62 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R))>
* [enter]simplify:  Simplifying (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* [exit]simplify:  Simplified to (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))
* [misc]simplify:  Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))
* * * * [misc]progress:  [ 56 / 62 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R))>
* [enter]simplify:  Simplifying (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* [exit]simplify:  Simplified to (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))
* [misc]simplify:  Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))
* * * * [misc]progress:  [ 57 / 62 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R))>
* [enter]simplify:  Simplifying (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R)
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* [exit]simplify:  Simplified to (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))
* [misc]simplify:  Simplified (2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))))
* * * * [misc]progress:  [ 58 / 62 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R))>
* [enter]simplify:  Simplifying (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R)
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* [exit]simplify:  Simplified to (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))
* [misc]simplify:  Simplified (2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))))
* * * * [misc]progress:  [ 59 / 62 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R))>
* [enter]simplify:  Simplifying (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R)
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* [exit]simplify:  Simplified to (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))
* [misc]simplify:  Simplified (2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))))
* * * * [misc]progress:  [ 60 / 62 ] 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))>
* [enter]simplify:  Simplifying (- 1 (+ (* 1/2 (pow phi2 2)) (* 1/2 (pow phi1 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (47 enodes)
* * [misc]simplify:  iters left: 3 (88 enodes)
* * [misc]simplify:  iters left: 2 (115 enodes)
* * [misc]simplify:  iters left: 1 (134 enodes)
* [exit]simplify:  Simplified to (- 1 (* (+ (* phi1 phi1) (* phi2 phi2)) 1/2))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (- 1 (* (+ (* phi1 phi1) (* phi2 phi2)) 1/2)))) R))
* * * * [misc]progress:  [ 61 / 62 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R))>
* [enter]simplify:  Simplifying (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* [exit]simplify:  Simplified to (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))
* * * * [misc]progress:  [ 62 / 62 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R))>
* [enter]simplify:  Simplifying (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* [exit]simplify:  Simplified to (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  iteration 2 / 4
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<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))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 4 ] rewriting at (2 1)
* * * * [misc]progress:  [ 2 / 4 ] rewriting at (2 1 1 2 2)
* * * * [misc]progress:  [ 3 / 4 ] rewriting at (2)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2 1 1 2 1)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 4 ] generating series at (2 1)
* [misc]approximate:  Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) in (phi1 phi2 lambda1 lambda2) around 0
* [misc]taylor:  Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) in lambda2
* [misc]backup-simplify:  Simplify (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
* [misc]taylor:  Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) in lambda1
* [misc]backup-simplify:  Simplify (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
* [misc]taylor:  Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) in phi2
* [misc]backup-simplify:  Simplify (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
* [misc]taylor:  Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) in phi1
* [misc]backup-simplify:  Simplify (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
* [misc]taylor:  Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) in phi1
* [misc]backup-simplify:  Simplify (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
* [misc]taylor:  Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) in phi2
* [misc]backup-simplify:  Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
* [misc]taylor:  Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1
* [misc]backup-simplify:  Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
* [misc]taylor:  Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2
* [misc]backup-simplify:  Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
* [misc]backup-simplify:  Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
* [misc]taylor:  Taking taylor expansion of 0 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
* [misc]approximate:  Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2)))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))))) in (phi1 phi2 lambda1 lambda2) around 0
* [misc]taylor:  Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2)))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))))) in lambda2
* [misc]backup-simplify:  Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2)))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (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))))))))
* [misc]taylor:  Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2)))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))))) in lambda1
* [misc]backup-simplify:  Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2)))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (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))))))))
* [misc]taylor:  Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2)))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))))) in phi2
* [misc]backup-simplify:  Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2)))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (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))))))))
* [misc]taylor:  Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2)))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))))) in phi1
* [misc]backup-simplify:  Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2)))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (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))))))))
* [misc]taylor:  Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2)))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))))) in phi1
* [misc]backup-simplify:  Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2)))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (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))))))))
* [misc]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
* [misc]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))))))))
* [misc]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
* [misc]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))))))))
* [misc]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
* [misc]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))))))))
* [misc]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))))))))
* [misc]taylor:  Taking taylor expansion of 0 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]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)))))
* [misc]approximate:  Taking taylor expansion of (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (+ (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2))))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) in (phi1 phi2 lambda1 lambda2) around 0
* [misc]taylor:  Taking taylor expansion of (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (+ (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2))))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) in lambda2
* [misc]backup-simplify:  Simplify (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (+ (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2))))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ -1 lambda2)) (cos (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
* [misc]taylor:  Taking taylor expansion of (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (+ (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2))))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) in lambda1
* [misc]backup-simplify:  Simplify (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (+ (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2))))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ -1 lambda2)) (cos (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
* [misc]taylor:  Taking taylor expansion of (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (+ (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2))))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) in phi2
* [misc]backup-simplify:  Simplify (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (+ (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2))))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ -1 lambda2)) (cos (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
* [misc]taylor:  Taking taylor expansion of (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (+ (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2))))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) in phi1
* [misc]backup-simplify:  Simplify (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (+ (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2))))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ -1 lambda2)) (cos (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
* [misc]taylor:  Taking taylor expansion of (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (+ (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2))))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) in phi1
* [misc]backup-simplify:  Simplify (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (+ (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2))))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ -1 lambda2)) (cos (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
* [misc]taylor:  Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ -1 lambda2)) (cos (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in phi2
* [misc]backup-simplify:  Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ -1 lambda2)) (cos (/ -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))))))))
* [misc]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
* [misc]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))))))))
* [misc]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
* [misc]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))))))))
* [misc]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))))))))
* [misc]taylor:  Taking taylor expansion of 0 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]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)))))
* * * * [misc]progress:  [ 2 / 4 ] generating series at (2 1 1 2 2)
* [misc]approximate:  Taking taylor expansion of (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) in (phi1 phi2 lambda1 lambda2) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* (cos phi1) (cos phi2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (cos phi1) in lambda2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (cos phi1) into (cos phi1)
* [misc]backup-simplify:  Simplify (sin phi1) into (sin phi1)
* [misc]taylor:  Taking taylor expansion of (cos phi2) in lambda2
* [misc]taylor:  Taking taylor expansion of phi2 in lambda2
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (cos phi2) into (cos phi2)
* [misc]backup-simplify:  Simplify (sin phi2) into (sin phi2)
* [misc]taylor:  Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (sin lambda1) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (sin lambda1) into (sin lambda1)
* [misc]backup-simplify:  Simplify (cos lambda1) into (cos lambda1)
* [misc]taylor:  Taking taylor expansion of (sin lambda2) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* (cos phi1) (cos phi2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (cos phi1) in lambda1
* [misc]taylor:  Taking taylor expansion of phi1 in lambda1
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (cos phi1) into (cos phi1)
* [misc]backup-simplify:  Simplify (sin phi1) into (sin phi1)
* [misc]taylor:  Taking taylor expansion of (cos phi2) in lambda1
* [misc]taylor:  Taking taylor expansion of phi2 in lambda1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (cos phi2) into (cos phi2)
* [misc]backup-simplify:  Simplify (sin phi2) into (sin phi2)
* [misc]taylor:  Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (sin lambda1) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sin lambda2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (sin lambda2) into (sin lambda2)
* [misc]backup-simplify:  Simplify (cos lambda2) into (cos lambda2)
* [misc]taylor:  Taking taylor expansion of (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (cos phi1) (cos phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (cos phi1) in phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (cos phi1) into (cos phi1)
* [misc]backup-simplify:  Simplify (sin phi1) into (sin phi1)
* [misc]taylor:  Taking taylor expansion of (cos phi2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in phi2
* [misc]taylor:  Taking taylor expansion of (sin lambda1) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (sin lambda1) into (sin lambda1)
* [misc]backup-simplify:  Simplify (cos lambda1) into (cos lambda1)
* [misc]taylor:  Taking taylor expansion of (sin lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (sin lambda2) into (sin lambda2)
* [misc]backup-simplify:  Simplify (cos lambda2) into (cos lambda2)
* [misc]taylor:  Taking taylor expansion of (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) in phi1
* [misc]taylor:  Taking taylor expansion of (* (cos phi1) (cos phi2)) in phi1
* [misc]taylor:  Taking taylor expansion of (cos phi1) in phi1
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos phi2) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (cos phi2) into (cos phi2)
* [misc]backup-simplify:  Simplify (sin phi2) into (sin phi2)
* [misc]taylor:  Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in phi1
* [misc]taylor:  Taking taylor expansion of (sin lambda1) in phi1
* [misc]taylor:  Taking taylor expansion of lambda1 in phi1
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (sin lambda1) into (sin lambda1)
* [misc]backup-simplify:  Simplify (cos lambda1) into (cos lambda1)
* [misc]taylor:  Taking taylor expansion of (sin lambda2) in phi1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (sin lambda2) into (sin lambda2)
* [misc]backup-simplify:  Simplify (cos lambda2) into (cos lambda2)
* [misc]taylor:  Taking taylor expansion of (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) in phi1
* [misc]taylor:  Taking taylor expansion of (* (cos phi1) (cos phi2)) in phi1
* [misc]taylor:  Taking taylor expansion of (cos phi1) in phi1
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos phi2) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (cos phi2) into (cos phi2)
* [misc]backup-simplify:  Simplify (sin phi2) into (sin phi2)
* [misc]taylor:  Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in phi1
* [misc]taylor:  Taking taylor expansion of (sin lambda1) in phi1
* [misc]taylor:  Taking taylor expansion of lambda1 in phi1
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (sin lambda1) into (sin lambda1)
* [misc]backup-simplify:  Simplify (cos lambda1) into (cos lambda1)
* [misc]taylor:  Taking taylor expansion of (sin lambda2) in phi1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (sin lambda2) into (sin lambda2)
* [misc]backup-simplify:  Simplify (cos lambda2) into (cos lambda2)
* [misc]backup-simplify:  Simplify (* (cos phi2) 1) into (cos phi2)
* [misc]backup-simplify:  Simplify (* (sin phi2) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos phi2) 0) into (cos phi2)
* [misc]backup-simplify:  Simplify (* 1 (cos phi2)) into (cos phi2)
* [misc]backup-simplify:  Simplify (* (sin lambda1) 1) into (sin lambda1)
* [misc]backup-simplify:  Simplify (* (cos lambda1) 0) into 0
* [misc]backup-simplify:  Simplify (+ (sin lambda1) 0) into (sin lambda1)
* [misc]backup-simplify:  Simplify (* (sin lambda2) 1) into (sin lambda2)
* [misc]backup-simplify:  Simplify (* (cos lambda2) 0) into 0
* [misc]backup-simplify:  Simplify (+ (sin lambda2) 0) into (sin lambda2)
* [misc]backup-simplify:  Simplify (* (sin lambda1) (sin lambda2)) into (* (sin lambda1) (sin lambda2))
* [misc]backup-simplify:  Simplify (* (cos phi2) (* (sin lambda1) (sin lambda2))) into (* (cos phi2) (* (sin lambda1) (sin lambda2)))
* [misc]taylor:  Taking taylor expansion of (* (cos phi2) (* (sin lambda1) (sin lambda2))) in phi2
* [misc]taylor:  Taking taylor expansion of (cos phi2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in phi2
* [misc]taylor:  Taking taylor expansion of (sin lambda1) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (sin lambda1) into (sin lambda1)
* [misc]backup-simplify:  Simplify (cos lambda1) into (cos lambda1)
* [misc]taylor:  Taking taylor expansion of (sin lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (sin lambda2) into (sin lambda2)
* [misc]backup-simplify:  Simplify (cos lambda2) into (cos lambda2)
* [misc]backup-simplify:  Simplify (* (sin lambda1) 1) into (sin lambda1)
* [misc]backup-simplify:  Simplify (* (cos lambda1) 0) into 0
* [misc]backup-simplify:  Simplify (+ (sin lambda1) 0) into (sin lambda1)
* [misc]backup-simplify:  Simplify (* (sin lambda2) 1) into (sin lambda2)
* [misc]backup-simplify:  Simplify (* (cos lambda2) 0) into 0
* [misc]backup-simplify:  Simplify (+ (sin lambda2) 0) into (sin lambda2)
* [misc]backup-simplify:  Simplify (* (sin lambda1) (sin lambda2)) into (* (sin lambda1) (sin lambda2))
* [misc]backup-simplify:  Simplify (* 1 (* (sin lambda1) (sin lambda2))) into (* (sin lambda1) (sin lambda2))
* [misc]taylor:  Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (sin lambda1) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sin lambda2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (sin lambda2) into (sin lambda2)
* [misc]backup-simplify:  Simplify (cos lambda2) into (cos lambda2)
* [misc]backup-simplify:  Simplify (* (sin lambda2) 1) into (sin lambda2)
* [misc]backup-simplify:  Simplify (* (cos lambda2) 0) into 0
* [misc]backup-simplify:  Simplify (+ (sin lambda2) 0) into (sin lambda2)
* [misc]backup-simplify:  Simplify (* 0 (sin lambda2)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin lambda2) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos lambda2) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin lambda1) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos lambda1) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin lambda1) 0) (* 0 (sin lambda2))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos phi2) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin phi2) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 (cos phi2))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos phi2) 0) (* 0 (* (sin lambda1) (sin lambda2)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin lambda2) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos lambda2) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin lambda1) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos lambda1) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin lambda1) 0) (* 0 (sin lambda2))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 (* (sin lambda1) (sin lambda2)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin lambda2) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos lambda2) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (sin lambda2))) into (sin lambda2)
* [misc]taylor:  Taking taylor expansion of (sin lambda2) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin lambda1) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos lambda1) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin lambda1) 0) (+ (* 0 0) (* 0 (sin lambda2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2)
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* (- 1/2) (cos phi2)))) into (- (* 1/2 (cos phi2)))
* [misc]backup-simplify:  Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (* (- (* 1/2 (cos phi2))) (* (sin lambda1) (sin lambda2))))) into (- (* 1/2 (* (cos phi2) (* (sin lambda1) (sin lambda2)))))
* [misc]taylor:  Taking taylor expansion of (- (* 1/2 (* (cos phi2) (* (sin lambda1) (sin lambda2))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (cos phi2) (* (sin lambda1) (sin lambda2)))) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* (cos phi2) (* (sin lambda1) (sin lambda2))) in phi2
* [misc]taylor:  Taking taylor expansion of (cos phi2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in phi2
* [misc]taylor:  Taking taylor expansion of (sin lambda1) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (sin lambda1) into (sin lambda1)
* [misc]backup-simplify:  Simplify (cos lambda1) into (cos lambda1)
* [misc]taylor:  Taking taylor expansion of (sin lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (sin lambda2) into (sin lambda2)
* [misc]backup-simplify:  Simplify (cos lambda2) into (cos lambda2)
* [misc]backup-simplify:  Simplify (* (sin lambda1) 1) into (sin lambda1)
* [misc]backup-simplify:  Simplify (* (cos lambda1) 0) into 0
* [misc]backup-simplify:  Simplify (+ (sin lambda1) 0) into (sin lambda1)
* [misc]backup-simplify:  Simplify (* (sin lambda2) 1) into (sin lambda2)
* [misc]backup-simplify:  Simplify (* (cos lambda2) 0) into 0
* [misc]backup-simplify:  Simplify (+ (sin lambda2) 0) into (sin lambda2)
* [misc]backup-simplify:  Simplify (* (sin lambda1) (sin lambda2)) into (* (sin lambda1) (sin lambda2))
* [misc]backup-simplify:  Simplify (* 1 (* (sin lambda1) (sin lambda2))) into (* (sin lambda1) (sin lambda2))
* [misc]backup-simplify:  Simplify (* 1/2 (* (sin lambda1) (sin lambda2))) into (* 1/2 (* (sin lambda1) (sin lambda2)))
* [misc]backup-simplify:  Simplify (- (* 1/2 (* (sin lambda1) (sin lambda2)))) into (- (* 1/2 (* (sin lambda1) (sin lambda2))))
* [misc]taylor:  Taking taylor expansion of (- (* 1/2 (* (sin lambda1) (sin lambda2)))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (sin lambda1) (sin lambda2))) in lambda1
* [misc]taylor:  Taking taylor expansion of 1/2 in lambda1
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (sin lambda1) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sin lambda2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (sin lambda2) into (sin lambda2)
* [misc]backup-simplify:  Simplify (cos lambda2) into (cos lambda2)
* [misc]backup-simplify:  Simplify (* (sin lambda2) 1) into (sin lambda2)
* [misc]backup-simplify:  Simplify (* (cos lambda2) 0) into 0
* [misc]backup-simplify:  Simplify (+ (sin lambda2) 0) into (sin lambda2)
* [misc]backup-simplify:  Simplify (* 0 (sin lambda2)) into 0
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]approximate:  Taking taylor expansion of (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) in (phi1 phi2 lambda1 lambda2) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) in lambda2
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 phi1)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in lambda2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]backup-simplify:  Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1))
* [misc]backup-simplify:  Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1))
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 phi2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in lambda2
* [misc]taylor:  Taking taylor expansion of phi2 in lambda2
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]backup-simplify:  Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2))
* [misc]backup-simplify:  Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2))
* [misc]taylor:  Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2
* [misc]taylor:  Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda1) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (/ 1 lambda1) into (/ 1 lambda1)
* [misc]backup-simplify:  Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1))
* [misc]backup-simplify:  Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1))
* [misc]taylor:  Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda2) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2))
* [misc]taylor:  Taking taylor expansion of (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 phi1)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in lambda1
* [misc]taylor:  Taking taylor expansion of phi1 in lambda1
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]backup-simplify:  Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1))
* [misc]backup-simplify:  Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1))
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 phi2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in lambda1
* [misc]taylor:  Taking taylor expansion of phi2 in lambda1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]backup-simplify:  Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2))
* [misc]backup-simplify:  Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2))
* [misc]taylor:  Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda1) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1))
* [misc]taylor:  Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (/ 1 lambda2) into (/ 1 lambda2)
* [misc]backup-simplify:  Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2))
* [misc]taylor:  Taking taylor expansion of (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 phi1)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]backup-simplify:  Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1))
* [misc]backup-simplify:  Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1))
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2))
* [misc]taylor:  Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in phi2
* [misc]taylor:  Taking taylor expansion of (sin (/ 1 lambda1)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda1) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (/ 1 lambda1) into (/ 1 lambda1)
* [misc]backup-simplify:  Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1))
* [misc]backup-simplify:  Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1))
* [misc]taylor:  Taking taylor expansion of (sin (/ 1 lambda2)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (/ 1 lambda2) into (/ 1 lambda2)
* [misc]backup-simplify:  Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2))
* [misc]taylor:  Taking taylor expansion of (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) in phi1
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) in phi1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 phi1)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in phi1
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1))
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 phi2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]backup-simplify:  Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2))
* [misc]backup-simplify:  Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2))
* [misc]taylor:  Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in phi1
* [misc]taylor:  Taking taylor expansion of (sin (/ 1 lambda1)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda1) in phi1
* [misc]taylor:  Taking taylor expansion of lambda1 in phi1
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (/ 1 lambda1) into (/ 1 lambda1)
* [misc]backup-simplify:  Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1))
* [misc]backup-simplify:  Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1))
* [misc]taylor:  Taking taylor expansion of (sin (/ 1 lambda2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda2) in phi1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (/ 1 lambda2) into (/ 1 lambda2)
* [misc]backup-simplify:  Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2))
* [misc]taylor:  Taking taylor expansion of (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) in phi1
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) in phi1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 phi1)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in phi1
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1))
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 phi2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]backup-simplify:  Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2))
* [misc]backup-simplify:  Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2))
* [misc]taylor:  Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in phi1
* [misc]taylor:  Taking taylor expansion of (sin (/ 1 lambda1)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda1) in phi1
* [misc]taylor:  Taking taylor expansion of lambda1 in phi1
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (/ 1 lambda1) into (/ 1 lambda1)
* [misc]backup-simplify:  Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1))
* [misc]backup-simplify:  Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1))
* [misc]taylor:  Taking taylor expansion of (sin (/ 1 lambda2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda2) in phi1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (/ 1 lambda2) into (/ 1 lambda2)
* [misc]backup-simplify:  Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 phi2)) 1) into (cos (/ 1 phi2))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 phi2)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1 phi2)) 0) into (cos (/ 1 phi2))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) into (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 lambda1)) 1) into (sin (/ 1 lambda1))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 lambda1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (sin (/ 1 lambda1)) 0) into (sin (/ 1 lambda1))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 lambda2)) 1) into (sin (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 lambda2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (sin (/ 1 lambda2)) 0) into (sin (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))
* [misc]backup-simplify:  Simplify (* (* (cos (/ 1 phi2)) (cos (/ 1 phi1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))) into (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1)))))
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2))
* [misc]taylor:  Taking taylor expansion of (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1)))) in phi2
* [misc]taylor:  Taking taylor expansion of (sin (/ 1 lambda2)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (/ 1 lambda2) into (/ 1 lambda2)
* [misc]backup-simplify:  Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2))
* [misc]taylor:  Taking taylor expansion of (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))) in phi2
* [misc]taylor:  Taking taylor expansion of (sin (/ 1 lambda1)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda1) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (/ 1 lambda1) into (/ 1 lambda1)
* [misc]backup-simplify:  Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1))
* [misc]backup-simplify:  Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1))
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 phi1)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]backup-simplify:  Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1))
* [misc]backup-simplify:  Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 lambda2)) 1) into (sin (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 lambda2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (sin (/ 1 lambda2)) 0) into (sin (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 lambda1)) 1) into (sin (/ 1 lambda1))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 lambda1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (sin (/ 1 lambda1)) 0) into (sin (/ 1 lambda1))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 phi1)) 1) into (cos (/ 1 phi1))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 phi1)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1 phi1)) 0) into (cos (/ 1 phi1))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))) into (* (sin (/ 1 lambda1)) (cos (/ 1 phi1)))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1)))) into (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) into (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1)))))
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 phi2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in lambda1
* [misc]taylor:  Taking taylor expansion of phi2 in lambda1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]backup-simplify:  Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2))
* [misc]backup-simplify:  Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2))
* [misc]taylor:  Taking taylor expansion of (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1)))) in lambda1
* [misc]taylor:  Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (/ 1 lambda2) into (/ 1 lambda2)
* [misc]backup-simplify:  Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2))
* [misc]taylor:  Taking taylor expansion of (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))) in lambda1
* [misc]taylor:  Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda1) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1))
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 phi1)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in lambda1
* [misc]taylor:  Taking taylor expansion of phi1 in lambda1
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]backup-simplify:  Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1))
* [misc]backup-simplify:  Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 phi2)) 1) into (cos (/ 1 phi2))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 phi2)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1 phi2)) 0) into (cos (/ 1 phi2))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 lambda2)) 1) into (sin (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 lambda2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (sin (/ 1 lambda2)) 0) into (sin (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 phi1)) 1) into (cos (/ 1 phi1))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 phi1)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1 phi1)) 0) into (cos (/ 1 phi1))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))) into (* (sin (/ 1 lambda1)) (cos (/ 1 phi1)))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1)))) into (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) into (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1)))))
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) in lambda2
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 phi2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in lambda2
* [misc]taylor:  Taking taylor expansion of phi2 in lambda2
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]backup-simplify:  Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2))
* [misc]backup-simplify:  Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2))
* [misc]taylor:  Taking taylor expansion of (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1)))) in lambda2
* [misc]taylor:  Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda2) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2))
* [misc]taylor:  Taking taylor expansion of (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))) in lambda2
* [misc]taylor:  Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda1) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (/ 1 lambda1) into (/ 1 lambda1)
* [misc]backup-simplify:  Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1))
* [misc]backup-simplify:  Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1))
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 phi1)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in lambda2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]backup-simplify:  Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1))
* [misc]backup-simplify:  Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 phi2)) 1) into (cos (/ 1 phi2))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 phi2)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1 phi2)) 0) into (cos (/ 1 phi2))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 lambda1)) 1) into (sin (/ 1 lambda1))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 lambda1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (sin (/ 1 lambda1)) 0) into (sin (/ 1 lambda1))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 phi1)) 1) into (cos (/ 1 phi1))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 phi1)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1 phi1)) 0) into (cos (/ 1 phi1))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))) into (* (sin (/ 1 lambda1)) (cos (/ 1 phi1)))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1)))) into (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) into (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1)))))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) into (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1)))))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 lambda2)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 lambda1)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 (sin (/ 1 lambda2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 phi1)) 0) (* 0 (cos (/ 1 phi2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* (cos (/ 1 phi2)) (cos (/ 1 phi1))) 0) (* 0 (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 phi1)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 lambda1)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 (cos (/ 1 phi1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 lambda2)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 phi1)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 (cos (/ 1 phi1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 lambda2)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 phi1)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 lambda1)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 (cos (/ 1 phi1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 phi1)) 0) (+ (* 0 0) (* 0 (cos (/ 1 phi2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* (cos (/ 1 phi2)) (cos (/ 1 phi1))) 0) (+ (* 0 0) (* 0 (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (cos (/ 1 (/ 1 phi2))) (* (sin (/ 1 (/ 1 lambda2))) (* (sin (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1)))))) into (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1))))
* [misc]approximate:  Taking taylor expansion of (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) in (phi1 phi2 lambda1 lambda2) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) in lambda2
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- phi1))) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi1)) in lambda2
* [misc]taylor:  Taking taylor expansion of (- phi1) in lambda2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (/ 1 (- phi1)) into (/ -1 phi1)
* [misc]backup-simplify:  Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1))
* [misc]backup-simplify:  Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1))
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- phi2))) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (- phi2) in lambda2
* [misc]taylor:  Taking taylor expansion of phi2 in lambda2
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (/ 1 (- phi2)) into (/ -1 phi2)
* [misc]backup-simplify:  Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2))
* [misc]backup-simplify:  Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2))
* [misc]taylor:  Taking taylor expansion of (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) in lambda2
* [misc]taylor:  Taking taylor expansion of (sin (/ 1 (- lambda1))) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda1)) in lambda2
* [misc]taylor:  Taking taylor expansion of (- lambda1) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda1)) into (/ -1 lambda1)
* [misc]backup-simplify:  Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1))
* [misc]backup-simplify:  Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1))
* [misc]taylor:  Taking taylor expansion of (sin (/ 1 (- lambda2))) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (- lambda2) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (sin (/ 1 (- lambda2))) into (sin (/ -1 lambda2))
* [misc]taylor:  Taking taylor expansion of (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) in lambda1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- phi1))) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi1)) in lambda1
* [misc]taylor:  Taking taylor expansion of (- phi1) in lambda1
* [misc]taylor:  Taking taylor expansion of phi1 in lambda1
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (/ 1 (- phi1)) into (/ -1 phi1)
* [misc]backup-simplify:  Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1))
* [misc]backup-simplify:  Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1))
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- phi2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (- phi2) in lambda1
* [misc]taylor:  Taking taylor expansion of phi2 in lambda1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (/ 1 (- phi2)) into (/ -1 phi2)
* [misc]backup-simplify:  Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2))
* [misc]backup-simplify:  Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2))
* [misc]taylor:  Taking taylor expansion of (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) in lambda1
* [misc]taylor:  Taking taylor expansion of (sin (/ 1 (- lambda1))) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda1)) in lambda1
* [misc]taylor:  Taking taylor expansion of (- lambda1) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (sin (/ 1 (- lambda1))) into (sin (/ -1 lambda1))
* [misc]taylor:  Taking taylor expansion of (sin (/ 1 (- lambda2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (- lambda2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda2)) into (/ -1 lambda2)
* [misc]backup-simplify:  Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2))
* [misc]backup-simplify:  Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2))
* [misc]taylor:  Taking taylor expansion of (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- phi1))) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi1)) in phi2
* [misc]taylor:  Taking taylor expansion of (- phi1) in phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (/ 1 (- phi1)) into (/ -1 phi1)
* [misc]backup-simplify:  Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1))
* [misc]backup-simplify:  Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1))
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- phi2))) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (- phi2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (cos (/ 1 (- phi2))) into (cos (/ -1 phi2))
* [misc]taylor:  Taking taylor expansion of (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (sin (/ 1 (- lambda1))) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda1)) in phi2
* [misc]taylor:  Taking taylor expansion of (- lambda1) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda1)) into (/ -1 lambda1)
* [misc]backup-simplify:  Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1))
* [misc]backup-simplify:  Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1))
* [misc]taylor:  Taking taylor expansion of (sin (/ 1 (- lambda2))) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda2)) in phi2
* [misc]taylor:  Taking taylor expansion of (- lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda2)) into (/ -1 lambda2)
* [misc]backup-simplify:  Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2))
* [misc]backup-simplify:  Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2))
* [misc]taylor:  Taking taylor expansion of (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) in phi1
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) in phi1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- phi1))) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi1)) in phi1
* [misc]taylor:  Taking taylor expansion of (- phi1) in phi1
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (cos (/ 1 (- phi1))) into (cos (/ -1 phi1))
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- phi2))) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi2)) in phi1
* [misc]taylor:  Taking taylor expansion of (- phi2) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (/ 1 (- phi2)) into (/ -1 phi2)
* [misc]backup-simplify:  Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2))
* [misc]backup-simplify:  Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2))
* [misc]taylor:  Taking taylor expansion of (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) in phi1
* [misc]taylor:  Taking taylor expansion of (sin (/ 1 (- lambda1))) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda1)) in phi1
* [misc]taylor:  Taking taylor expansion of (- lambda1) in phi1
* [misc]taylor:  Taking taylor expansion of lambda1 in phi1
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda1)) into (/ -1 lambda1)
* [misc]backup-simplify:  Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1))
* [misc]backup-simplify:  Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1))
* [misc]taylor:  Taking taylor expansion of (sin (/ 1 (- lambda2))) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda2)) in phi1
* [misc]taylor:  Taking taylor expansion of (- lambda2) in phi1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda2)) into (/ -1 lambda2)
* [misc]backup-simplify:  Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2))
* [misc]backup-simplify:  Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2))
* [misc]taylor:  Taking taylor expansion of (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) in phi1
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) in phi1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- phi1))) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi1)) in phi1
* [misc]taylor:  Taking taylor expansion of (- phi1) in phi1
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (cos (/ 1 (- phi1))) into (cos (/ -1 phi1))
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- phi2))) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi2)) in phi1
* [misc]taylor:  Taking taylor expansion of (- phi2) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (/ 1 (- phi2)) into (/ -1 phi2)
* [misc]backup-simplify:  Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2))
* [misc]backup-simplify:  Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2))
* [misc]taylor:  Taking taylor expansion of (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) in phi1
* [misc]taylor:  Taking taylor expansion of (sin (/ 1 (- lambda1))) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda1)) in phi1
* [misc]taylor:  Taking taylor expansion of (- lambda1) in phi1
* [misc]taylor:  Taking taylor expansion of lambda1 in phi1
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda1)) into (/ -1 lambda1)
* [misc]backup-simplify:  Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1))
* [misc]backup-simplify:  Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1))
* [misc]taylor:  Taking taylor expansion of (sin (/ 1 (- lambda2))) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda2)) in phi1
* [misc]taylor:  Taking taylor expansion of (- lambda2) in phi1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda2)) into (/ -1 lambda2)
* [misc]backup-simplify:  Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2))
* [misc]backup-simplify:  Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2))
* [misc]backup-simplify:  Simplify (* (cos (/ -1 phi2)) 1) into (cos (/ -1 phi2))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 phi2)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1 phi2)) 0) into (cos (/ -1 phi2))
* [misc]backup-simplify:  Simplify (* (cos (/ -1 phi1)) (cos (/ -1 phi2))) into (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 lambda1)) 1) into (sin (/ -1 lambda1))
* [misc]backup-simplify:  Simplify (* (cos (/ -1 lambda1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (sin (/ -1 lambda1)) 0) into (sin (/ -1 lambda1))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 lambda2)) 1) into (sin (/ -1 lambda2))
* [misc]backup-simplify:  Simplify (* (cos (/ -1 lambda2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (sin (/ -1 lambda2)) 0) into (sin (/ -1 lambda2))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))
* [misc]backup-simplify:  Simplify (* (* (cos (/ -1 phi1)) (cos (/ -1 phi2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))) into (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ -1 lambda2)) (cos (/ -1 phi2)))))
* [misc]taylor:  Taking taylor expansion of (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ -1 lambda2)) (cos (/ -1 phi2))))) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (/ -1 phi1)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ -1 phi1) in phi2
* [misc]taylor:  Taking taylor expansion of -1 in phi2
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ -1 phi1) into (/ -1 phi1)
* [misc]backup-simplify:  Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1))
* [misc]backup-simplify:  Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1))
* [misc]taylor:  Taking taylor expansion of (* (sin (/ -1 lambda1)) (* (sin (/ -1 lambda2)) (cos (/ -1 phi2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (sin (/ -1 lambda1)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ -1 lambda1) in phi2
* [misc]taylor:  Taking taylor expansion of -1 in phi2
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (/ -1 lambda1) into (/ -1 lambda1)
* [misc]backup-simplify:  Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1))
* [misc]backup-simplify:  Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1))
* [misc]taylor:  Taking taylor expansion of (* (sin (/ -1 lambda2)) (cos (/ -1 phi2))) in phi2
* [misc]taylor:  Taking taylor expansion of (sin (/ -1 lambda2)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ -1 lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of -1 in phi2
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (/ -1 lambda2) into (/ -1 lambda2)
* [misc]backup-simplify:  Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2))
* [misc]backup-simplify:  Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2))
* [misc]taylor:  Taking taylor expansion of (cos (/ -1 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ -1 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of -1 in phi2
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ -1 1) into -1
* [misc]backup-simplify:  Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2))
* [misc]backup-simplify:  Simplify (* (cos (/ -1 phi1)) 1) into (cos (/ -1 phi1))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 phi1)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1 phi1)) 0) into (cos (/ -1 phi1))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 lambda1)) 1) into (sin (/ -1 lambda1))
* [misc]backup-simplify:  Simplify (* (cos (/ -1 lambda1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (sin (/ -1 lambda1)) 0) into (sin (/ -1 lambda1))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 lambda2)) 1) into (sin (/ -1 lambda2))
* [misc]backup-simplify:  Simplify (* (cos (/ -1 lambda2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (sin (/ -1 lambda2)) 0) into (sin (/ -1 lambda2))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 lambda2)) (cos (/ -1 phi2))) into (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))) into (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))
* [misc]backup-simplify:  Simplify (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) into (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ -1 lambda2)) (cos (/ -1 phi2)))))
* [misc]taylor:  Taking taylor expansion of (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ -1 lambda2)) (cos (/ -1 phi2))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (cos (/ -1 phi1)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ -1 phi1) in lambda1
* [misc]taylor:  Taking taylor expansion of -1 in lambda1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of phi1 in lambda1
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ -1 phi1) into (/ -1 phi1)
* [misc]backup-simplify:  Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1))
* [misc]backup-simplify:  Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1))
* [misc]taylor:  Taking taylor expansion of (* (sin (/ -1 lambda1)) (* (sin (/ -1 lambda2)) (cos (/ -1 phi2)))) in lambda1
* [misc]taylor:  Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ -1 lambda1) in lambda1
* [misc]taylor:  Taking taylor expansion of -1 in lambda1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ -1 1) into -1
* [misc]backup-simplify:  Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1))
* [misc]taylor:  Taking taylor expansion of (* (sin (/ -1 lambda2)) (cos (/ -1 phi2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ -1 lambda2) in lambda1
* [misc]taylor:  Taking taylor expansion of -1 in lambda1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (/ -1 lambda2) into (/ -1 lambda2)
* [misc]backup-simplify:  Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2))
* [misc]backup-simplify:  Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2))
* [misc]taylor:  Taking taylor expansion of (cos (/ -1 phi2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ -1 phi2) in lambda1
* [misc]taylor:  Taking taylor expansion of -1 in lambda1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of phi2 in lambda1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ -1 phi2) into (/ -1 phi2)
* [misc]backup-simplify:  Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2))
* [misc]backup-simplify:  Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2))
* [misc]backup-simplify:  Simplify (* (cos (/ -1 phi1)) 1) into (cos (/ -1 phi1))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 phi1)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1 phi1)) 0) into (cos (/ -1 phi1))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 lambda2)) 1) into (sin (/ -1 lambda2))
* [misc]backup-simplify:  Simplify (* (cos (/ -1 lambda2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (sin (/ -1 lambda2)) 0) into (sin (/ -1 lambda2))
* [misc]backup-simplify:  Simplify (* (cos (/ -1 phi2)) 1) into (cos (/ -1 phi2))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 phi2)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1 phi2)) 0) into (cos (/ -1 phi2))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 lambda2)) (cos (/ -1 phi2))) into (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))) into (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))
* [misc]backup-simplify:  Simplify (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) into (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ -1 lambda2)) (cos (/ -1 phi2)))))
* [misc]taylor:  Taking taylor expansion of (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ -1 lambda2)) (cos (/ -1 phi2))))) in lambda2
* [misc]taylor:  Taking taylor expansion of (cos (/ -1 phi1)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ -1 phi1) in lambda2
* [misc]taylor:  Taking taylor expansion of -1 in lambda2
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of phi1 in lambda2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ -1 phi1) into (/ -1 phi1)
* [misc]backup-simplify:  Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1))
* [misc]backup-simplify:  Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1))
* [misc]taylor:  Taking taylor expansion of (* (sin (/ -1 lambda1)) (* (sin (/ -1 lambda2)) (cos (/ -1 phi2)))) in lambda2
* [misc]taylor:  Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ -1 lambda1) in lambda2
* [misc]taylor:  Taking taylor expansion of -1 in lambda2
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (/ -1 lambda1) into (/ -1 lambda1)
* [misc]backup-simplify:  Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1))
* [misc]backup-simplify:  Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1))
* [misc]taylor:  Taking taylor expansion of (* (sin (/ -1 lambda2)) (cos (/ -1 phi2))) in lambda2
* [misc]taylor:  Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ -1 lambda2) in lambda2
* [misc]taylor:  Taking taylor expansion of -1 in lambda2
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ -1 1) into -1
* [misc]backup-simplify:  Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2))
* [misc]taylor:  Taking taylor expansion of (cos (/ -1 phi2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ -1 phi2) in lambda2
* [misc]taylor:  Taking taylor expansion of -1 in lambda2
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of phi2 in lambda2
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ -1 phi2) into (/ -1 phi2)
* [misc]backup-simplify:  Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2))
* [misc]backup-simplify:  Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2))
* [misc]backup-simplify:  Simplify (* (cos (/ -1 phi1)) 1) into (cos (/ -1 phi1))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 phi1)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1 phi1)) 0) into (cos (/ -1 phi1))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 lambda1)) 1) into (sin (/ -1 lambda1))
* [misc]backup-simplify:  Simplify (* (cos (/ -1 lambda1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (sin (/ -1 lambda1)) 0) into (sin (/ -1 lambda1))
* [misc]backup-simplify:  Simplify (* (cos (/ -1 phi2)) 1) into (cos (/ -1 phi2))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 phi2)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1 phi2)) 0) into (cos (/ -1 phi2))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 lambda2)) (cos (/ -1 phi2))) into (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))) into (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))
* [misc]backup-simplify:  Simplify (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) into (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ -1 lambda2)) (cos (/ -1 phi2)))))
* [misc]backup-simplify:  Simplify (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ -1 lambda2)) (cos (/ -1 phi2))))) into (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 lambda2)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 lambda2) (/ 0 (- lambda2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 lambda2)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 lambda1) (/ 0 (- lambda1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 lambda1)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (sin (/ -1 lambda2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 phi2) (/ 0 (- phi2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 phi2)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 (cos (/ -1 phi2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* (cos (/ -1 phi1)) (cos (/ -1 phi2))) 0) (* 0 (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 lambda2)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 lambda2)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 lambda2)) 0) (* 0 (cos (/ -1 phi2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 lambda1)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 phi2)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 lambda2)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 lambda2)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 lambda2)) 0) (* 0 (cos (/ -1 phi2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 phi2)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 lambda2)) 0) (* 0 (cos (/ -1 phi2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 lambda1)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 lambda2) (/ 0 (- lambda2))) (* 0 (/ 0 (- lambda2))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 lambda1) (/ 0 (- lambda1))) (* 0 (/ 0 (- lambda1))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 phi2) (/ 0 (- phi2))) (* 0 (/ 0 (- phi2))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (cos (/ -1 phi2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* (cos (/ -1 phi1)) (cos (/ -1 phi2))) 0) (+ (* 0 0) (* 0 (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (cos (/ -1 (/ 1 (- phi1)))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (sin (/ -1 (/ 1 (- lambda2))))))) into (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))
* * * * [misc]progress:  [ 3 / 4 ] generating series at (2)
* [misc]approximate:  Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0
* [misc]taylor:  Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R) in R
* [misc]taylor:  Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) in R
* [misc]backup-simplify:  Simplify (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
* [misc]taylor:  Taking taylor expansion of R in R
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R) in lambda2
* [misc]taylor:  Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) in lambda2
* [misc]backup-simplify:  Simplify (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
* [misc]taylor:  Taking taylor expansion of R in lambda2
* [misc]backup-simplify:  Simplify R into R
* [misc]taylor:  Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R) in lambda1
* [misc]taylor:  Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) in lambda1
* [misc]backup-simplify:  Simplify (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
* [misc]taylor:  Taking taylor expansion of R in lambda1
* [misc]backup-simplify:  Simplify R into R
* [misc]taylor:  Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R) in phi2
* [misc]taylor:  Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) in phi2
* [misc]backup-simplify:  Simplify (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
* [misc]taylor:  Taking taylor expansion of R in phi2
* [misc]backup-simplify:  Simplify R into R
* [misc]taylor:  Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R) in phi1
* [misc]taylor:  Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) in phi1
* [misc]backup-simplify:  Simplify (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
* [misc]taylor:  Taking taylor expansion of R in phi1
* [misc]backup-simplify:  Simplify R into R
* [misc]taylor:  Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R) in phi1
* [misc]taylor:  Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) in phi1
* [misc]backup-simplify:  Simplify (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
* [misc]taylor:  Taking taylor expansion of R in phi1
* [misc]backup-simplify:  Simplify R into R
* [misc]backup-simplify:  Simplify (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) R) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))))
* [misc]taylor:  Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) in phi2
* [misc]taylor:  Taking taylor expansion of R in phi2
* [misc]backup-simplify:  Simplify R into R
* [misc]taylor:  Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) in phi2
* [misc]backup-simplify:  Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
* [misc]backup-simplify:  Simplify (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))))
* [misc]taylor:  Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda1
* [misc]taylor:  Taking taylor expansion of R in lambda1
* [misc]backup-simplify:  Simplify R into R
* [misc]taylor:  Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1
* [misc]backup-simplify:  Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
* [misc]backup-simplify:  Simplify (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))))
* [misc]taylor:  Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda2
* [misc]taylor:  Taking taylor expansion of R in lambda2
* [misc]backup-simplify:  Simplify R into R
* [misc]taylor:  Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2
* [misc]backup-simplify:  Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
* [misc]backup-simplify:  Simplify (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))))
* [misc]taylor:  Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) in R
* [misc]taylor:  Taking taylor expansion of R in R
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) in R
* [misc]backup-simplify:  Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
* [misc]backup-simplify:  Simplify (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) 0) (* 0 R)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in R
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* R 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in R
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* R 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in R
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* R 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in R
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
* [misc]backup-simplify:  Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
* [misc]backup-simplify:  Simplify (+ (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) 0) (+ (* 0 0) (* 0 R))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in R
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in R
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* R 0) (+ (* 0 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in R
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in R
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in R
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* R 0) (+ (* 0 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in R
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) (* R (* 1 (* 1 (* 1 1))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))))
* [misc]approximate:  Taking taylor expansion of (* (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2)))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))))) (/ 1 R)) in (phi1 phi2 lambda1 lambda2 R) around 0
* [misc]taylor:  Taking taylor expansion of (* (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2)))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))))) (/ 1 R)) in R
* [misc]taylor:  Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2)))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))))) in R
* [misc]backup-simplify:  Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2)))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (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))))))))
* [misc]taylor:  Taking taylor expansion of (/ 1 R) in R
* [misc]taylor:  Taking taylor expansion of R in R
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2)))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))))) (/ 1 R)) in lambda2
* [misc]taylor:  Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2)))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))))) in lambda2
* [misc]backup-simplify:  Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2)))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (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))))))))
* [misc]taylor:  Taking taylor expansion of (/ 1 R) in lambda2
* [misc]taylor:  Taking taylor expansion of R in lambda2
* [misc]backup-simplify:  Simplify R into R
* [misc]backup-simplify:  Simplify (/ 1 R) into (/ 1 R)
* [misc]taylor:  Taking taylor expansion of (* (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2)))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))))) (/ 1 R)) in lambda1
* [misc]taylor:  Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2)))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))))) in lambda1
* [misc]backup-simplify:  Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2)))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (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))))))))
* [misc]taylor:  Taking taylor expansion of (/ 1 R) in lambda1
* [misc]taylor:  Taking taylor expansion of R in lambda1
* [misc]backup-simplify:  Simplify R into R
* [misc]backup-simplify:  Simplify (/ 1 R) into (/ 1 R)
* [misc]taylor:  Taking taylor expansion of (* (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2)))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))))) (/ 1 R)) in phi2
* [misc]taylor:  Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2)))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))))) in phi2
* [misc]backup-simplify:  Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2)))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (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))))))))
* [misc]taylor:  Taking taylor expansion of (/ 1 R) in phi2
* [misc]taylor:  Taking taylor expansion of R in phi2
* [misc]backup-simplify:  Simplify R into R
* [misc]backup-simplify:  Simplify (/ 1 R) into (/ 1 R)
* [misc]taylor:  Taking taylor expansion of (* (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2)))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))))) (/ 1 R)) in phi1
* [misc]taylor:  Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2)))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))))) in phi1
* [misc]backup-simplify:  Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2)))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (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))))))))
* [misc]taylor:  Taking taylor expansion of (/ 1 R) in phi1
* [misc]taylor:  Taking taylor expansion of R in phi1
* [misc]backup-simplify:  Simplify R into R
* [misc]backup-simplify:  Simplify (/ 1 R) into (/ 1 R)
* [misc]taylor:  Taking taylor expansion of (* (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2)))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))))) (/ 1 R)) in phi1
* [misc]taylor:  Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2)))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))))) in phi1
* [misc]backup-simplify:  Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2)))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (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))))))))
* [misc]taylor:  Taking taylor expansion of (/ 1 R) in phi1
* [misc]taylor:  Taking taylor expansion of R in phi1
* [misc]backup-simplify:  Simplify R into R
* [misc]backup-simplify:  Simplify (/ 1 R) into (/ 1 R)
* [misc]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 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)
* [misc]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
* [misc]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
* [misc]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))))))))
* [misc]taylor:  Taking taylor expansion of R in phi2
* [misc]backup-simplify:  Simplify R into R
* [misc]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)
* [misc]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
* [misc]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
* [misc]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))))))))
* [misc]taylor:  Taking taylor expansion of R in lambda1
* [misc]backup-simplify:  Simplify R into R
* [misc]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)
* [misc]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
* [misc]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
* [misc]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))))))))
* [misc]taylor:  Taking taylor expansion of R in lambda2
* [misc]backup-simplify:  Simplify R into R
* [misc]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)
* [misc]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
* [misc]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
* [misc]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))))))))
* [misc]taylor:  Taking taylor expansion of R in R
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]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))))))))
* [misc]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))))))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 R) (/ 0 R)))) into 0
* [misc]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)))))))) 0) (* 0 (/ 1 R))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in R
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]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
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in R
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]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
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in R
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]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
* [misc]taylor:  Taking taylor expansion of 0 in R
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]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
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
* [misc]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)))))))) 0) (+ (* 0 0) (* 0 (/ 1 R)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in R
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in R
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]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
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in R
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in R
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in R
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]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
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in R
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in R
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in R
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in R
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]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
* [misc]taylor:  Taking taylor expansion of 0 in R
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]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
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]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)
* [misc]approximate:  Taking taylor expansion of (* (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (+ (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2))))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) (/ 1 (- R))) in (phi1 phi2 lambda1 lambda2 R) around 0
* [misc]taylor:  Taking taylor expansion of (* (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (+ (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2))))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) (/ 1 (- R))) in R
* [misc]taylor:  Taking taylor expansion of (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (+ (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2))))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) in R
* [misc]backup-simplify:  Simplify (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (+ (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2))))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ -1 lambda2)) (cos (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (- R)) in R
* [misc]taylor:  Taking taylor expansion of (- R) in R
* [misc]taylor:  Taking taylor expansion of R in R
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (+ (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2))))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) (/ 1 (- R))) in lambda2
* [misc]taylor:  Taking taylor expansion of (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (+ (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2))))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) in lambda2
* [misc]backup-simplify:  Simplify (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (+ (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2))))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ -1 lambda2)) (cos (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (- R)) in lambda2
* [misc]taylor:  Taking taylor expansion of (- R) in lambda2
* [misc]taylor:  Taking taylor expansion of R in lambda2
* [misc]backup-simplify:  Simplify R into R
* [misc]backup-simplify:  Simplify (- R) into (- R)
* [misc]backup-simplify:  Simplify (- R) into (- R)
* [misc]backup-simplify:  Simplify (/ 1 (- R)) into (/ -1 R)
* [misc]taylor:  Taking taylor expansion of (* (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (+ (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2))))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) (/ 1 (- R))) in lambda1
* [misc]taylor:  Taking taylor expansion of (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (+ (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2))))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) in lambda1
* [misc]backup-simplify:  Simplify (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (+ (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2))))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ -1 lambda2)) (cos (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (- R)) in lambda1
* [misc]taylor:  Taking taylor expansion of (- R) in lambda1
* [misc]taylor:  Taking taylor expansion of R in lambda1
* [misc]backup-simplify:  Simplify R into R
* [misc]backup-simplify:  Simplify (- R) into (- R)
* [misc]backup-simplify:  Simplify (- R) into (- R)
* [misc]backup-simplify:  Simplify (/ 1 (- R)) into (/ -1 R)
* [misc]taylor:  Taking taylor expansion of (* (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (+ (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2))))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) (/ 1 (- R))) in phi2
* [misc]taylor:  Taking taylor expansion of (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (+ (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2))))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) in phi2
* [misc]backup-simplify:  Simplify (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (+ (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2))))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ -1 lambda2)) (cos (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (- R)) in phi2
* [misc]taylor:  Taking taylor expansion of (- R) in phi2
* [misc]taylor:  Taking taylor expansion of R in phi2
* [misc]backup-simplify:  Simplify R into R
* [misc]backup-simplify:  Simplify (- R) into (- R)
* [misc]backup-simplify:  Simplify (- R) into (- R)
* [misc]backup-simplify:  Simplify (/ 1 (- R)) into (/ -1 R)
* [misc]taylor:  Taking taylor expansion of (* (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (+ (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2))))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) (/ 1 (- R))) in phi1
* [misc]taylor:  Taking taylor expansion of (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (+ (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2))))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) in phi1
* [misc]backup-simplify:  Simplify (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (+ (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2))))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ -1 lambda2)) (cos (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (- R)) in phi1
* [misc]taylor:  Taking taylor expansion of (- R) in phi1
* [misc]taylor:  Taking taylor expansion of R in phi1
* [misc]backup-simplify:  Simplify R into R
* [misc]backup-simplify:  Simplify (- R) into (- R)
* [misc]backup-simplify:  Simplify (- R) into (- R)
* [misc]backup-simplify:  Simplify (/ 1 (- R)) into (/ -1 R)
* [misc]taylor:  Taking taylor expansion of (* (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (+ (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2))))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) (/ 1 (- R))) in phi1
* [misc]taylor:  Taking taylor expansion of (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (+ (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2))))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) in phi1
* [misc]backup-simplify:  Simplify (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (+ (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2))))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ -1 lambda2)) (cos (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (- R)) in phi1
* [misc]taylor:  Taking taylor expansion of (- R) in phi1
* [misc]taylor:  Taking taylor expansion of R in phi1
* [misc]backup-simplify:  Simplify R into R
* [misc]backup-simplify:  Simplify (- R) into (- R)
* [misc]backup-simplify:  Simplify (- R) into (- R)
* [misc]backup-simplify:  Simplify (/ 1 (- R)) into (/ -1 R)
* [misc]backup-simplify:  Simplify (* (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ -1 lambda2)) (cos (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) (/ -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))
* [misc]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
* [misc]taylor:  Taking taylor expansion of -1 in phi2
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]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
* [misc]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
* [misc]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))))))))
* [misc]taylor:  Taking taylor expansion of R in phi2
* [misc]backup-simplify:  Simplify R into R
* [misc]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)
* [misc]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))
* [misc]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
* [misc]taylor:  Taking taylor expansion of -1 in lambda1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]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
* [misc]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
* [misc]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))))))))
* [misc]taylor:  Taking taylor expansion of R in lambda1
* [misc]backup-simplify:  Simplify R into R
* [misc]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)
* [misc]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))
* [misc]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
* [misc]taylor:  Taking taylor expansion of -1 in lambda2
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]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
* [misc]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
* [misc]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))))))))
* [misc]taylor:  Taking taylor expansion of R in lambda2
* [misc]backup-simplify:  Simplify R into R
* [misc]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)
* [misc]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))
* [misc]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 R
* [misc]taylor:  Taking taylor expansion of -1 in R
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]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 R
* [misc]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 R
* [misc]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))))))))
* [misc]taylor:  Taking taylor expansion of R in R
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]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)))))))) 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 lambda2)) (cos (/ -1 phi2))))))))
* [misc]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)))))))))
* [misc]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)))))))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- R) into (- R)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 R) (/ 0 (- R))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ -1 lambda2)) (cos (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 0) (* 0 (/ -1 R))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in R
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]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
* [misc]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
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in R
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]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
* [misc]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
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in R
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]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
* [misc]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
* [misc]taylor:  Taking taylor expansion of 0 in R
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]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 lambda2)) (cos (/ -1 phi2)))))))) (/ 0 1)))) into 0
* [misc]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)))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- R) into (- R)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- R) into (- R)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 R) (/ 0 (- R))) (* 0 (/ 0 (- R))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ -1 lambda2)) (cos (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 0) (+ (* 0 0) (* 0 (/ -1 R)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in R
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in R
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]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
* [misc]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
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in R
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in R
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in R
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]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
* [misc]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
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in R
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in R
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in R
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in R
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]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
* [misc]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
* [misc]taylor:  Taking taylor expansion of 0 in R
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]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 lambda2)) (cos (/ -1 phi2)))))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]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))))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]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 (- lambda2)))) (cos (/ -1 (/ 1 (- phi2))))))))))) (* (/ 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))))))
* * * * [misc]progress:  [ 4 / 4 ] generating series at (2 1 1 2 1)
* [misc]approximate:  Taking taylor expansion of (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) in (phi1 phi2 lambda1 lambda2) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* (cos phi1) (cos phi2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (cos phi1) in lambda2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (cos phi1) into (cos phi1)
* [misc]backup-simplify:  Simplify (sin phi1) into (sin phi1)
* [misc]taylor:  Taking taylor expansion of (cos phi2) in lambda2
* [misc]taylor:  Taking taylor expansion of phi2 in lambda2
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (cos phi2) into (cos phi2)
* [misc]backup-simplify:  Simplify (sin phi2) into (sin phi2)
* [misc]taylor:  Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (cos lambda1) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (cos lambda1) into (cos lambda1)
* [misc]backup-simplify:  Simplify (sin lambda1) into (sin lambda1)
* [misc]taylor:  Taking taylor expansion of (cos lambda2) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* (cos phi1) (cos phi2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (cos phi1) in lambda1
* [misc]taylor:  Taking taylor expansion of phi1 in lambda1
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (cos phi1) into (cos phi1)
* [misc]backup-simplify:  Simplify (sin phi1) into (sin phi1)
* [misc]taylor:  Taking taylor expansion of (cos phi2) in lambda1
* [misc]taylor:  Taking taylor expansion of phi2 in lambda1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (cos phi2) into (cos phi2)
* [misc]backup-simplify:  Simplify (sin phi2) into (sin phi2)
* [misc]taylor:  Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (cos lambda1) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos lambda2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (cos lambda2) into (cos lambda2)
* [misc]backup-simplify:  Simplify (sin lambda2) into (sin lambda2)
* [misc]taylor:  Taking taylor expansion of (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (cos phi1) (cos phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (cos phi1) in phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (cos phi1) into (cos phi1)
* [misc]backup-simplify:  Simplify (sin phi1) into (sin phi1)
* [misc]taylor:  Taking taylor expansion of (cos phi2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in phi2
* [misc]taylor:  Taking taylor expansion of (cos lambda1) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (cos lambda1) into (cos lambda1)
* [misc]backup-simplify:  Simplify (sin lambda1) into (sin lambda1)
* [misc]taylor:  Taking taylor expansion of (cos lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (cos lambda2) into (cos lambda2)
* [misc]backup-simplify:  Simplify (sin lambda2) into (sin lambda2)
* [misc]taylor:  Taking taylor expansion of (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) in phi1
* [misc]taylor:  Taking taylor expansion of (* (cos phi1) (cos phi2)) in phi1
* [misc]taylor:  Taking taylor expansion of (cos phi1) in phi1
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos phi2) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (cos phi2) into (cos phi2)
* [misc]backup-simplify:  Simplify (sin phi2) into (sin phi2)
* [misc]taylor:  Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in phi1
* [misc]taylor:  Taking taylor expansion of (cos lambda1) in phi1
* [misc]taylor:  Taking taylor expansion of lambda1 in phi1
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (cos lambda1) into (cos lambda1)
* [misc]backup-simplify:  Simplify (sin lambda1) into (sin lambda1)
* [misc]taylor:  Taking taylor expansion of (cos lambda2) in phi1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (cos lambda2) into (cos lambda2)
* [misc]backup-simplify:  Simplify (sin lambda2) into (sin lambda2)
* [misc]taylor:  Taking taylor expansion of (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) in phi1
* [misc]taylor:  Taking taylor expansion of (* (cos phi1) (cos phi2)) in phi1
* [misc]taylor:  Taking taylor expansion of (cos phi1) in phi1
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos phi2) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (cos phi2) into (cos phi2)
* [misc]backup-simplify:  Simplify (sin phi2) into (sin phi2)
* [misc]taylor:  Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in phi1
* [misc]taylor:  Taking taylor expansion of (cos lambda1) in phi1
* [misc]taylor:  Taking taylor expansion of lambda1 in phi1
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (cos lambda1) into (cos lambda1)
* [misc]backup-simplify:  Simplify (sin lambda1) into (sin lambda1)
* [misc]taylor:  Taking taylor expansion of (cos lambda2) in phi1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (cos lambda2) into (cos lambda2)
* [misc]backup-simplify:  Simplify (sin lambda2) into (sin lambda2)
* [misc]backup-simplify:  Simplify (* (cos phi2) 1) into (cos phi2)
* [misc]backup-simplify:  Simplify (* (sin phi2) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos phi2) 0) into (cos phi2)
* [misc]backup-simplify:  Simplify (* 1 (cos phi2)) into (cos phi2)
* [misc]backup-simplify:  Simplify (* (cos lambda1) 1) into (cos lambda1)
* [misc]backup-simplify:  Simplify (* (sin lambda1) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos lambda1) 0) into (cos lambda1)
* [misc]backup-simplify:  Simplify (* (cos lambda2) 1) into (cos lambda2)
* [misc]backup-simplify:  Simplify (* (sin lambda2) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos lambda2) 0) into (cos lambda2)
* [misc]backup-simplify:  Simplify (* (cos lambda1) (cos lambda2)) into (* (cos lambda1) (cos lambda2))
* [misc]backup-simplify:  Simplify (* (cos phi2) (* (cos lambda1) (cos lambda2))) into (* (cos phi2) (* (cos lambda1) (cos lambda2)))
* [misc]taylor:  Taking taylor expansion of (* (cos phi2) (* (cos lambda1) (cos lambda2))) in phi2
* [misc]taylor:  Taking taylor expansion of (cos phi2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in phi2
* [misc]taylor:  Taking taylor expansion of (cos lambda1) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (cos lambda1) into (cos lambda1)
* [misc]backup-simplify:  Simplify (sin lambda1) into (sin lambda1)
* [misc]taylor:  Taking taylor expansion of (cos lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (cos lambda2) into (cos lambda2)
* [misc]backup-simplify:  Simplify (sin lambda2) into (sin lambda2)
* [misc]backup-simplify:  Simplify (* (cos lambda1) 1) into (cos lambda1)
* [misc]backup-simplify:  Simplify (* (sin lambda1) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos lambda1) 0) into (cos lambda1)
* [misc]backup-simplify:  Simplify (* (cos lambda2) 1) into (cos lambda2)
* [misc]backup-simplify:  Simplify (* (sin lambda2) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos lambda2) 0) into (cos lambda2)
* [misc]backup-simplify:  Simplify (* (cos lambda1) (cos lambda2)) into (* (cos lambda1) (cos lambda2))
* [misc]backup-simplify:  Simplify (* 1 (* (cos lambda1) (cos lambda2))) into (* (cos lambda1) (cos lambda2))
* [misc]taylor:  Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (cos lambda1) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos lambda2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (cos lambda2) into (cos lambda2)
* [misc]backup-simplify:  Simplify (sin lambda2) into (sin lambda2)
* [misc]backup-simplify:  Simplify (* (cos lambda2) 1) into (cos lambda2)
* [misc]backup-simplify:  Simplify (* (sin lambda2) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos lambda2) 0) into (cos lambda2)
* [misc]backup-simplify:  Simplify (* 1 (cos lambda2)) into (cos lambda2)
* [misc]taylor:  Taking taylor expansion of (cos lambda2) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos lambda2) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin lambda2) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos lambda1) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin lambda1) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos lambda1) 0) (* 0 (cos lambda2))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos phi2) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin phi2) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 (cos phi2))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos phi2) 0) (* 0 (* (cos lambda1) (cos lambda2)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos lambda2) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin lambda2) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos lambda1) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin lambda1) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos lambda1) 0) (* 0 (cos lambda2))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 (* (cos lambda1) (cos lambda2)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos lambda2) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin lambda2) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 (cos lambda2))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos lambda1) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin lambda1) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos lambda1) 0) (+ (* 0 0) (* 0 (cos lambda2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2)
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* (- 1/2) (cos phi2)))) into (- (* 1/2 (cos phi2)))
* [misc]backup-simplify:  Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (* (- (* 1/2 (cos phi2))) (* (cos lambda1) (cos lambda2))))) into (- (* 1/2 (* (cos phi2) (* (cos lambda1) (cos lambda2)))))
* [misc]taylor:  Taking taylor expansion of (- (* 1/2 (* (cos phi2) (* (cos lambda1) (cos lambda2))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (cos phi2) (* (cos lambda1) (cos lambda2)))) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* (cos phi2) (* (cos lambda1) (cos lambda2))) in phi2
* [misc]taylor:  Taking taylor expansion of (cos phi2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in phi2
* [misc]taylor:  Taking taylor expansion of (cos lambda1) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (cos lambda1) into (cos lambda1)
* [misc]backup-simplify:  Simplify (sin lambda1) into (sin lambda1)
* [misc]taylor:  Taking taylor expansion of (cos lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (cos lambda2) into (cos lambda2)
* [misc]backup-simplify:  Simplify (sin lambda2) into (sin lambda2)
* [misc]backup-simplify:  Simplify (* (cos lambda1) 1) into (cos lambda1)
* [misc]backup-simplify:  Simplify (* (sin lambda1) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos lambda1) 0) into (cos lambda1)
* [misc]backup-simplify:  Simplify (* (cos lambda2) 1) into (cos lambda2)
* [misc]backup-simplify:  Simplify (* (sin lambda2) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos lambda2) 0) into (cos lambda2)
* [misc]backup-simplify:  Simplify (* (cos lambda1) (cos lambda2)) into (* (cos lambda1) (cos lambda2))
* [misc]backup-simplify:  Simplify (* 1 (* (cos lambda1) (cos lambda2))) into (* (cos lambda1) (cos lambda2))
* [misc]backup-simplify:  Simplify (* 1/2 (* (cos lambda1) (cos lambda2))) into (* 1/2 (* (cos lambda1) (cos lambda2)))
* [misc]backup-simplify:  Simplify (- (* 1/2 (* (cos lambda1) (cos lambda2)))) into (- (* 1/2 (* (cos lambda1) (cos lambda2))))
* [misc]taylor:  Taking taylor expansion of (- (* 1/2 (* (cos lambda1) (cos lambda2)))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (cos lambda1) (cos lambda2))) in lambda1
* [misc]taylor:  Taking taylor expansion of 1/2 in lambda1
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (cos lambda1) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos lambda2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (cos lambda2) into (cos lambda2)
* [misc]backup-simplify:  Simplify (sin lambda2) into (sin lambda2)
* [misc]backup-simplify:  Simplify (* (cos lambda2) 1) into (cos lambda2)
* [misc]backup-simplify:  Simplify (* (sin lambda2) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos lambda2) 0) into (cos lambda2)
* [misc]backup-simplify:  Simplify (* 1 (cos lambda2)) into (cos lambda2)
* [misc]backup-simplify:  Simplify (* 1/2 (cos lambda2)) into (* 1/2 (cos lambda2))
* [misc]backup-simplify:  Simplify (- (* 1/2 (cos lambda2))) into (- (* 1/2 (cos lambda2)))
* [misc]taylor:  Taking taylor expansion of (- (* 1/2 (cos lambda2))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* 1/2 (cos lambda2)) in lambda2
* [misc]taylor:  Taking taylor expansion of 1/2 in lambda2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (cos lambda2) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (- 1/2) into -1/2
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos lambda1) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin lambda1) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos lambda1) 0) (+ (* 0 0) (* 0 (cos lambda2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2)
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* (- 1/2) (* (cos lambda1) (cos lambda2))))) into (- (* 1/2 (* (cos lambda1) (cos lambda2))))
* [misc]taylor:  Taking taylor expansion of (- (* 1/2 (* (cos lambda1) (cos lambda2)))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (cos lambda1) (cos lambda2))) in lambda1
* [misc]taylor:  Taking taylor expansion of 1/2 in lambda1
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (cos lambda1) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos lambda2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (cos lambda2) into (cos lambda2)
* [misc]backup-simplify:  Simplify (sin lambda2) into (sin lambda2)
* [misc]backup-simplify:  Simplify (* (cos lambda2) 1) into (cos lambda2)
* [misc]backup-simplify:  Simplify (* (sin lambda2) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos lambda2) 0) into (cos lambda2)
* [misc]backup-simplify:  Simplify (* 1 (cos lambda2)) into (cos lambda2)
* [misc]backup-simplify:  Simplify (* 1/2 (cos lambda2)) into (* 1/2 (cos lambda2))
* [misc]backup-simplify:  Simplify (- (* 1/2 (cos lambda2))) into (- (* 1/2 (cos lambda2)))
* [misc]taylor:  Taking taylor expansion of (- (* 1/2 (cos lambda2))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* 1/2 (cos lambda2)) in lambda2
* [misc]taylor:  Taking taylor expansion of 1/2 in lambda2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (cos lambda2) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (- 1/2) into -1/2
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]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))))
* [misc]approximate:  Taking taylor expansion of (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2)))) in (phi1 phi2 lambda1 lambda2) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2)))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) in lambda2
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 phi1)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in lambda2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]backup-simplify:  Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1))
* [misc]backup-simplify:  Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1))
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 phi2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in lambda2
* [misc]taylor:  Taking taylor expansion of phi2 in lambda2
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]backup-simplify:  Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2))
* [misc]backup-simplify:  Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2))
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) in lambda2
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 lambda1)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda1) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (/ 1 lambda1) into (/ 1 lambda1)
* [misc]backup-simplify:  Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1))
* [misc]backup-simplify:  Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1))
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 lambda2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda2) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2))
* [misc]taylor:  Taking taylor expansion of (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2)))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 phi1)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in lambda1
* [misc]taylor:  Taking taylor expansion of phi1 in lambda1
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]backup-simplify:  Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1))
* [misc]backup-simplify:  Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1))
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 phi2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in lambda1
* [misc]taylor:  Taking taylor expansion of phi2 in lambda1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]backup-simplify:  Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2))
* [misc]backup-simplify:  Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2))
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 lambda1)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda1) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1))
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 lambda2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (/ 1 lambda2) into (/ 1 lambda2)
* [misc]backup-simplify:  Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2))
* [misc]taylor:  Taking taylor expansion of (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 phi1)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]backup-simplify:  Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1))
* [misc]backup-simplify:  Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1))
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2))
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 lambda1)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda1) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (/ 1 lambda1) into (/ 1 lambda1)
* [misc]backup-simplify:  Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1))
* [misc]backup-simplify:  Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1))
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 lambda2)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (/ 1 lambda2) into (/ 1 lambda2)
* [misc]backup-simplify:  Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2))
* [misc]taylor:  Taking taylor expansion of (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2)))) in phi1
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) in phi1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 phi1)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in phi1
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1))
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 phi2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]backup-simplify:  Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2))
* [misc]backup-simplify:  Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2))
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) in phi1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 lambda1)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda1) in phi1
* [misc]taylor:  Taking taylor expansion of lambda1 in phi1
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (/ 1 lambda1) into (/ 1 lambda1)
* [misc]backup-simplify:  Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1))
* [misc]backup-simplify:  Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1))
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 lambda2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda2) in phi1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (/ 1 lambda2) into (/ 1 lambda2)
* [misc]backup-simplify:  Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2))
* [misc]taylor:  Taking taylor expansion of (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2)))) in phi1
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) in phi1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 phi1)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in phi1
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1))
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 phi2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]backup-simplify:  Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2))
* [misc]backup-simplify:  Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2))
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) in phi1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 lambda1)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda1) in phi1
* [misc]taylor:  Taking taylor expansion of lambda1 in phi1
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (/ 1 lambda1) into (/ 1 lambda1)
* [misc]backup-simplify:  Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1))
* [misc]backup-simplify:  Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1))
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 lambda2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda2) in phi1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (/ 1 lambda2) into (/ 1 lambda2)
* [misc]backup-simplify:  Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 phi2)) 1) into (cos (/ 1 phi2))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 phi2)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1 phi2)) 0) into (cos (/ 1 phi2))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) into (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 lambda1)) 1) into (cos (/ 1 lambda1))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 lambda1)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1 lambda1)) 0) into (cos (/ 1 lambda1))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 lambda2)) 1) into (cos (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 lambda2)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1 lambda2)) 0) into (cos (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) into (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))
* [misc]backup-simplify:  Simplify (* (* (cos (/ 1 phi2)) (cos (/ 1 phi1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) into (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2))
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 lambda2)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (/ 1 lambda2) into (/ 1 lambda2)
* [misc]backup-simplify:  Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2))
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 lambda1)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda1) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (/ 1 lambda1) into (/ 1 lambda1)
* [misc]backup-simplify:  Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1))
* [misc]backup-simplify:  Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1))
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 phi1)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]backup-simplify:  Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1))
* [misc]backup-simplify:  Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 lambda2)) 1) into (cos (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 lambda2)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1 lambda2)) 0) into (cos (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 lambda1)) 1) into (cos (/ 1 lambda1))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 lambda1)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1 lambda1)) 0) into (cos (/ 1 lambda1))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 phi1)) 1) into (cos (/ 1 phi1))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 phi1)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1 phi1)) 0) into (cos (/ 1 phi1))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))) into (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))) into (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) into (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 phi2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in lambda1
* [misc]taylor:  Taking taylor expansion of phi2 in lambda1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]backup-simplify:  Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2))
* [misc]backup-simplify:  Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2))
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))) in lambda1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 lambda2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (/ 1 lambda2) into (/ 1 lambda2)
* [misc]backup-simplify:  Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2))
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))) in lambda1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 lambda1)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda1) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1))
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 phi1)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in lambda1
* [misc]taylor:  Taking taylor expansion of phi1 in lambda1
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]backup-simplify:  Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1))
* [misc]backup-simplify:  Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 phi2)) 1) into (cos (/ 1 phi2))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 phi2)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1 phi2)) 0) into (cos (/ 1 phi2))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 lambda2)) 1) into (cos (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 lambda2)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1 lambda2)) 0) into (cos (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 phi1)) 1) into (cos (/ 1 phi1))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 phi1)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1 phi1)) 0) into (cos (/ 1 phi1))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))) into (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))) into (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) into (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) in lambda2
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 phi2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in lambda2
* [misc]taylor:  Taking taylor expansion of phi2 in lambda2
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]backup-simplify:  Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2))
* [misc]backup-simplify:  Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2))
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))) in lambda2
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 lambda2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda2) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2))
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))) in lambda2
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 lambda1)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda1) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (/ 1 lambda1) into (/ 1 lambda1)
* [misc]backup-simplify:  Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1))
* [misc]backup-simplify:  Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1))
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 phi1)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in lambda2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]backup-simplify:  Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1))
* [misc]backup-simplify:  Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 phi2)) 1) into (cos (/ 1 phi2))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 phi2)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1 phi2)) 0) into (cos (/ 1 phi2))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 lambda1)) 1) into (cos (/ 1 lambda1))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 lambda1)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1 lambda1)) 0) into (cos (/ 1 lambda1))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 phi1)) 1) into (cos (/ 1 phi1))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 phi1)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1 phi1)) 0) into (cos (/ 1 phi1))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))) into (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))) into (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) into (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) into (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 lambda2)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 lambda1)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 lambda1)) 0) (* 0 (cos (/ 1 lambda2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 phi1)) 0) (* 0 (cos (/ 1 phi2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* (cos (/ 1 phi2)) (cos (/ 1 phi1))) 0) (* 0 (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 phi1)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 lambda1)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 lambda1)) 0) (* 0 (cos (/ 1 phi1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 lambda2)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 lambda2)) 0) (* 0 (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 phi1)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 lambda1)) 0) (* 0 (cos (/ 1 phi1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 lambda2)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 lambda2)) 0) (* 0 (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 phi1)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 lambda1)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 lambda1)) 0) (* 0 (cos (/ 1 phi1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 lambda2)) 0) (* 0 (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 (cos (/ 1 lambda2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 phi1)) 0) (+ (* 0 0) (* 0 (cos (/ 1 phi2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* (cos (/ 1 phi2)) (cos (/ 1 phi1))) 0) (+ (* 0 0) (* 0 (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1)))))) into (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2))))
* [misc]approximate:  Taking taylor expansion of (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2))))) in (phi1 phi2 lambda1 lambda2) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2))))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) in lambda2
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- phi1))) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi1)) in lambda2
* [misc]taylor:  Taking taylor expansion of (- phi1) in lambda2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (/ 1 (- phi1)) into (/ -1 phi1)
* [misc]backup-simplify:  Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1))
* [misc]backup-simplify:  Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1))
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- phi2))) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (- phi2) in lambda2
* [misc]taylor:  Taking taylor expansion of phi2 in lambda2
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (/ 1 (- phi2)) into (/ -1 phi2)
* [misc]backup-simplify:  Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2))
* [misc]backup-simplify:  Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2))
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) in lambda2
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- lambda1))) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda1)) in lambda2
* [misc]taylor:  Taking taylor expansion of (- lambda1) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda1)) into (/ -1 lambda1)
* [misc]backup-simplify:  Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1))
* [misc]backup-simplify:  Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1))
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- lambda2))) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (- lambda2) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (cos (/ 1 (- lambda2))) into (cos (/ -1 lambda2))
* [misc]taylor:  Taking taylor expansion of (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) in lambda1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- phi1))) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi1)) in lambda1
* [misc]taylor:  Taking taylor expansion of (- phi1) in lambda1
* [misc]taylor:  Taking taylor expansion of phi1 in lambda1
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (/ 1 (- phi1)) into (/ -1 phi1)
* [misc]backup-simplify:  Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1))
* [misc]backup-simplify:  Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1))
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- phi2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (- phi2) in lambda1
* [misc]taylor:  Taking taylor expansion of phi2 in lambda1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (/ 1 (- phi2)) into (/ -1 phi2)
* [misc]backup-simplify:  Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2))
* [misc]backup-simplify:  Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2))
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) in lambda1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- lambda1))) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda1)) in lambda1
* [misc]taylor:  Taking taylor expansion of (- lambda1) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (cos (/ 1 (- lambda1))) into (cos (/ -1 lambda1))
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- lambda2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (- lambda2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda2)) into (/ -1 lambda2)
* [misc]backup-simplify:  Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2))
* [misc]backup-simplify:  Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2))
* [misc]taylor:  Taking taylor expansion of (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- phi1))) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi1)) in phi2
* [misc]taylor:  Taking taylor expansion of (- phi1) in phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (/ 1 (- phi1)) into (/ -1 phi1)
* [misc]backup-simplify:  Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1))
* [misc]backup-simplify:  Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1))
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- phi2))) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (- phi2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (cos (/ 1 (- phi2))) into (cos (/ -1 phi2))
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- lambda1))) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda1)) in phi2
* [misc]taylor:  Taking taylor expansion of (- lambda1) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda1)) into (/ -1 lambda1)
* [misc]backup-simplify:  Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1))
* [misc]backup-simplify:  Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1))
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- lambda2))) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda2)) in phi2
* [misc]taylor:  Taking taylor expansion of (- lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda2)) into (/ -1 lambda2)
* [misc]backup-simplify:  Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2))
* [misc]backup-simplify:  Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2))
* [misc]taylor:  Taking taylor expansion of (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2))))) in phi1
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) in phi1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- phi1))) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi1)) in phi1
* [misc]taylor:  Taking taylor expansion of (- phi1) in phi1
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (cos (/ 1 (- phi1))) into (cos (/ -1 phi1))
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- phi2))) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi2)) in phi1
* [misc]taylor:  Taking taylor expansion of (- phi2) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (/ 1 (- phi2)) into (/ -1 phi2)
* [misc]backup-simplify:  Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2))
* [misc]backup-simplify:  Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2))
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) in phi1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- lambda1))) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda1)) in phi1
* [misc]taylor:  Taking taylor expansion of (- lambda1) in phi1
* [misc]taylor:  Taking taylor expansion of lambda1 in phi1
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda1)) into (/ -1 lambda1)
* [misc]backup-simplify:  Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1))
* [misc]backup-simplify:  Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1))
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- lambda2))) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda2)) in phi1
* [misc]taylor:  Taking taylor expansion of (- lambda2) in phi1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda2)) into (/ -1 lambda2)
* [misc]backup-simplify:  Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2))
* [misc]backup-simplify:  Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2))
* [misc]taylor:  Taking taylor expansion of (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2))))) in phi1
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) in phi1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- phi1))) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi1)) in phi1
* [misc]taylor:  Taking taylor expansion of (- phi1) in phi1
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (cos (/ 1 (- phi1))) into (cos (/ -1 phi1))
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- phi2))) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi2)) in phi1
* [misc]taylor:  Taking taylor expansion of (- phi2) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (/ 1 (- phi2)) into (/ -1 phi2)
* [misc]backup-simplify:  Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2))
* [misc]backup-simplify:  Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2))
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) in phi1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- lambda1))) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda1)) in phi1
* [misc]taylor:  Taking taylor expansion of (- lambda1) in phi1
* [misc]taylor:  Taking taylor expansion of lambda1 in phi1
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda1)) into (/ -1 lambda1)
* [misc]backup-simplify:  Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1))
* [misc]backup-simplify:  Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1))
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- lambda2))) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda2)) in phi1
* [misc]taylor:  Taking taylor expansion of (- lambda2) in phi1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda2)) into (/ -1 lambda2)
* [misc]backup-simplify:  Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2))
* [misc]backup-simplify:  Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2))
* [misc]backup-simplify:  Simplify (* (cos (/ -1 phi2)) 1) into (cos (/ -1 phi2))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 phi2)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1 phi2)) 0) into (cos (/ -1 phi2))
* [misc]backup-simplify:  Simplify (* (cos (/ -1 phi1)) (cos (/ -1 phi2))) into (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))
* [misc]backup-simplify:  Simplify (* (cos (/ -1 lambda1)) 1) into (cos (/ -1 lambda1))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 lambda1)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1 lambda1)) 0) into (cos (/ -1 lambda1))
* [misc]backup-simplify:  Simplify (* (cos (/ -1 lambda2)) 1) into (cos (/ -1 lambda2))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 lambda2)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1 lambda2)) 0) into (cos (/ -1 lambda2))
* [misc]backup-simplify:  Simplify (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) into (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2)))
* [misc]backup-simplify:  Simplify (* (* (cos (/ -1 phi1)) (cos (/ -1 phi2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2)))) into (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))
* [misc]taylor:  Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (/ -1 phi1)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ -1 phi1) in phi2
* [misc]taylor:  Taking taylor expansion of -1 in phi2
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ -1 phi1) into (/ -1 phi1)
* [misc]backup-simplify:  Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1))
* [misc]backup-simplify:  Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1))
* [misc]taylor:  Taking taylor expansion of (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (/ -1 lambda1)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ -1 lambda1) in phi2
* [misc]taylor:  Taking taylor expansion of -1 in phi2
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (/ -1 lambda1) into (/ -1 lambda1)
* [misc]backup-simplify:  Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1))
* [misc]backup-simplify:  Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1))
* [misc]taylor:  Taking taylor expansion of (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (/ -1 lambda2)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ -1 lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of -1 in phi2
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (/ -1 lambda2) into (/ -1 lambda2)
* [misc]backup-simplify:  Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2))
* [misc]backup-simplify:  Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2))
* [misc]taylor:  Taking taylor expansion of (cos (/ -1 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ -1 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of -1 in phi2
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ -1 1) into -1
* [misc]backup-simplify:  Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2))
* [misc]backup-simplify:  Simplify (* (cos (/ -1 phi1)) 1) into (cos (/ -1 phi1))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 phi1)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1 phi1)) 0) into (cos (/ -1 phi1))
* [misc]backup-simplify:  Simplify (* (cos (/ -1 lambda1)) 1) into (cos (/ -1 lambda1))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 lambda1)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1 lambda1)) 0) into (cos (/ -1 lambda1))
* [misc]backup-simplify:  Simplify (* (cos (/ -1 lambda2)) 1) into (cos (/ -1 lambda2))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 lambda2)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1 lambda2)) 0) into (cos (/ -1 lambda2))
* [misc]backup-simplify:  Simplify (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))) into (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))
* [misc]backup-simplify:  Simplify (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))) into (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))
* [misc]backup-simplify:  Simplify (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) into (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))
* [misc]taylor:  Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (cos (/ -1 phi1)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ -1 phi1) in lambda1
* [misc]taylor:  Taking taylor expansion of -1 in lambda1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of phi1 in lambda1
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ -1 phi1) into (/ -1 phi1)
* [misc]backup-simplify:  Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1))
* [misc]backup-simplify:  Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1))
* [misc]taylor:  Taking taylor expansion of (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))) in lambda1
* [misc]taylor:  Taking taylor expansion of (cos (/ -1 lambda1)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ -1 lambda1) in lambda1
* [misc]taylor:  Taking taylor expansion of -1 in lambda1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ -1 1) into -1
* [misc]backup-simplify:  Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1))
* [misc]taylor:  Taking taylor expansion of (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (cos (/ -1 lambda2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ -1 lambda2) in lambda1
* [misc]taylor:  Taking taylor expansion of -1 in lambda1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (/ -1 lambda2) into (/ -1 lambda2)
* [misc]backup-simplify:  Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2))
* [misc]backup-simplify:  Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2))
* [misc]taylor:  Taking taylor expansion of (cos (/ -1 phi2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ -1 phi2) in lambda1
* [misc]taylor:  Taking taylor expansion of -1 in lambda1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of phi2 in lambda1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ -1 phi2) into (/ -1 phi2)
* [misc]backup-simplify:  Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2))
* [misc]backup-simplify:  Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2))
* [misc]backup-simplify:  Simplify (* (cos (/ -1 phi1)) 1) into (cos (/ -1 phi1))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 phi1)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1 phi1)) 0) into (cos (/ -1 phi1))
* [misc]backup-simplify:  Simplify (* (cos (/ -1 lambda2)) 1) into (cos (/ -1 lambda2))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 lambda2)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1 lambda2)) 0) into (cos (/ -1 lambda2))
* [misc]backup-simplify:  Simplify (* (cos (/ -1 phi2)) 1) into (cos (/ -1 phi2))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 phi2)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1 phi2)) 0) into (cos (/ -1 phi2))
* [misc]backup-simplify:  Simplify (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))) into (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))
* [misc]backup-simplify:  Simplify (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))) into (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))
* [misc]backup-simplify:  Simplify (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) into (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))
* [misc]taylor:  Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))) in lambda2
* [misc]taylor:  Taking taylor expansion of (cos (/ -1 phi1)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ -1 phi1) in lambda2
* [misc]taylor:  Taking taylor expansion of -1 in lambda2
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of phi1 in lambda2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ -1 phi1) into (/ -1 phi1)
* [misc]backup-simplify:  Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1))
* [misc]backup-simplify:  Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1))
* [misc]taylor:  Taking taylor expansion of (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))) in lambda2
* [misc]taylor:  Taking taylor expansion of (cos (/ -1 lambda1)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ -1 lambda1) in lambda2
* [misc]taylor:  Taking taylor expansion of -1 in lambda2
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (/ -1 lambda1) into (/ -1 lambda1)
* [misc]backup-simplify:  Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1))
* [misc]backup-simplify:  Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1))
* [misc]taylor:  Taking taylor expansion of (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))) in lambda2
* [misc]taylor:  Taking taylor expansion of (cos (/ -1 lambda2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ -1 lambda2) in lambda2
* [misc]taylor:  Taking taylor expansion of -1 in lambda2
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ -1 1) into -1
* [misc]backup-simplify:  Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2))
* [misc]taylor:  Taking taylor expansion of (cos (/ -1 phi2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ -1 phi2) in lambda2
* [misc]taylor:  Taking taylor expansion of -1 in lambda2
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of phi2 in lambda2
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ -1 phi2) into (/ -1 phi2)
* [misc]backup-simplify:  Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2))
* [misc]backup-simplify:  Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2))
* [misc]backup-simplify:  Simplify (* (cos (/ -1 phi1)) 1) into (cos (/ -1 phi1))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 phi1)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1 phi1)) 0) into (cos (/ -1 phi1))
* [misc]backup-simplify:  Simplify (* (cos (/ -1 lambda1)) 1) into (cos (/ -1 lambda1))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 lambda1)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1 lambda1)) 0) into (cos (/ -1 lambda1))
* [misc]backup-simplify:  Simplify (* (cos (/ -1 phi2)) 1) into (cos (/ -1 phi2))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 phi2)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1 phi2)) 0) into (cos (/ -1 phi2))
* [misc]backup-simplify:  Simplify (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))) into (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))
* [misc]backup-simplify:  Simplify (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))) into (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))
* [misc]backup-simplify:  Simplify (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) into (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))
* [misc]backup-simplify:  Simplify (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))) into (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 lambda2)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 lambda2) (/ 0 (- lambda2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 lambda2)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 lambda1)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 lambda1) (/ 0 (- lambda1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 lambda1)) 0) (* 0 (cos (/ -1 lambda2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 phi2) (/ 0 (- phi2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 phi2)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 (cos (/ -1 phi2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* (cos (/ -1 phi1)) (cos (/ -1 phi2))) 0) (* 0 (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 lambda2)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 lambda2)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 lambda2)) 0) (* 0 (cos (/ -1 phi2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 lambda1)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 lambda1)) 0) (* 0 (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 phi2)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 lambda2)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 lambda2)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 lambda2)) 0) (* 0 (cos (/ -1 phi2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 lambda1)) 0) (* 0 (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 phi2)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 lambda2)) 0) (* 0 (cos (/ -1 phi2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 lambda1)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 lambda1)) 0) (* 0 (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 lambda2) (/ 0 (- lambda2))) (* 0 (/ 0 (- lambda2))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 lambda1) (/ 0 (- lambda1))) (* 0 (/ 0 (- lambda1))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (cos (/ -1 lambda2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 phi2) (/ 0 (- phi2))) (* 0 (/ 0 (- phi2))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (cos (/ -1 phi2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* (cos (/ -1 phi1)) (cos (/ -1 phi2))) 0) (+ (* 0 0) (* 0 (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (cos (/ -1 (/ 1 (- lambda2))))))) into (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2))))
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 81 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) R))>
* * * * [misc]progress:  [ 2 / 81 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (pow (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) 1) R))>
* * * * [misc]progress:  [ 3 / 81 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) R))>
* * * * [misc]progress:  [ 4 / 81 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) R))>
* * * * [misc]progress:  [ 5 / 81 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) R))>
* * * * [misc]progress:  [ 6 / 81 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (cbrt (* (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) R))>
* * * * [misc]progress:  [ 7 / 81 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) R))>
* * * * [misc]progress:  [ 8 / 81 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* 1 (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) R))>
* * * * [misc]progress:  [ 9 / 81 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (pow (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) 1)))) R))>
* [enter]simplify:  Simplifying (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (37 enodes)
* * [misc]simplify:  iters left: 2 (61 enodes)
* * [misc]simplify:  iters left: 1 (83 enodes)
* [exit]simplify:  Simplified to (* (* (sin lambda2) (cos phi2)) (* (sin lambda1) (cos phi1)))
* [misc]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))) (pow (* (* (sin lambda2) (cos phi2)) (* (sin lambda1) (cos phi1))) 1)))) R))
* * * * [misc]progress:  [ 10 / 81 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (pow (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) 1)))) R))>
* [enter]simplify:  Simplifying (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (37 enodes)
* * [misc]simplify:  iters left: 2 (61 enodes)
* * [misc]simplify:  iters left: 1 (83 enodes)
* [exit]simplify:  Simplified to (* (* (sin lambda2) (cos phi2)) (* (sin lambda1) (cos phi1)))
* [misc]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))) (pow (* (* (sin lambda2) (cos phi2)) (* (sin lambda1) (cos phi1))) 1)))) R))
* * * * [misc]progress:  [ 11 / 81 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (pow (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) 1)))) R))>
* [enter]simplify:  Simplifying (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (37 enodes)
* * [misc]simplify:  iters left: 2 (61 enodes)
* * [misc]simplify:  iters left: 1 (83 enodes)
* [exit]simplify:  Simplified to (* (* (sin lambda2) (cos phi2)) (* (sin lambda1) (cos phi1)))
* [misc]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))) (pow (* (* (sin lambda2) (cos phi2)) (* (sin lambda1) (cos phi1))) 1)))) R))
* * * * [misc]progress:  [ 12 / 81 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (pow (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) 1)))) R))>
* [enter]simplify:  Simplifying (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (37 enodes)
* * [misc]simplify:  iters left: 2 (61 enodes)
* * [misc]simplify:  iters left: 1 (83 enodes)
* [exit]simplify:  Simplified to (* (* (sin lambda2) (cos phi2)) (* (sin lambda1) (cos phi1)))
* [misc]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))) (pow (* (* (sin lambda2) (cos phi2)) (* (sin lambda1) (cos phi1))) 1)))) R))
* * * * [misc]progress:  [ 13 / 81 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (pow (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) 1)))) R))>
* * * * [misc]progress:  [ 14 / 81 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (exp (+ (+ (log (cos phi1)) (log (cos phi2))) (+ (log (sin lambda1)) (log (sin lambda2)))))))) R))>
* [enter]simplify:  Simplifying (+ (+ (log (cos phi1)) (log (cos phi2))) (+ (log (sin lambda1)) (log (sin lambda2))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (64 enodes)
* * [misc]simplify:  iters left: 2 (82 enodes)
* [exit]simplify:  Simplified to (+ (+ (log (sin lambda1)) (log (cos phi1))) (+ (log (cos phi2)) (log (sin lambda2))))
* [misc]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))) (exp (+ (+ (log (sin lambda1)) (log (cos phi1))) (+ (log (cos phi2)) (log (sin lambda2)))))))) R))
* * * * [misc]progress:  [ 15 / 81 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (exp (+ (+ (log (cos phi1)) (log (cos phi2))) (log (* (sin lambda1) (sin lambda2)))))))) R))>
* [enter]simplify:  Simplifying (+ (+ (log (cos phi1)) (log (cos phi2))) (log (* (sin lambda1) (sin lambda2))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (59 enodes)
* * [misc]simplify:  iters left: 2 (73 enodes)
* [exit]simplify:  Simplified to (+ (log (* (sin lambda1) (sin lambda2))) (+ (log (cos phi2)) (log (cos phi1))))
* [misc]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))) (exp (+ (log (* (sin lambda1) (sin lambda2))) (+ (log (cos phi2)) (log (cos phi1)))))))) R))
* * * * [misc]progress:  [ 16 / 81 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (exp (+ (log (* (cos phi1) (cos phi2))) (+ (log (sin lambda1)) (log (sin lambda2)))))))) R))>
* [enter]simplify:  Simplifying (+ (log (* (cos phi1) (cos phi2))) (+ (log (sin lambda1)) (log (sin lambda2))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (59 enodes)
* * [misc]simplify:  iters left: 2 (74 enodes)
* [exit]simplify:  Simplified to (+ (log (* (cos phi2) (cos phi1))) (+ (log (sin lambda1)) (log (sin lambda2))))
* [misc]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))) (exp (+ (log (* (cos phi2) (cos phi1))) (+ (log (sin lambda1)) (log (sin lambda2)))))))) R))
* * * * [misc]progress:  [ 17 / 81 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (exp (+ (log (* (cos phi1) (cos phi2))) (log (* (sin lambda1) (sin lambda2)))))))) R))>
* [enter]simplify:  Simplifying (+ (log (* (cos phi1) (cos phi2))) (log (* (sin lambda1) (sin lambda2))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (55 enodes)
* * [misc]simplify:  iters left: 2 (71 enodes)
* * [misc]simplify:  iters left: 1 (76 enodes)
* [exit]simplify:  Simplified to (+ (log (* (cos phi2) (cos phi1))) (log (* (sin lambda2) (sin lambda1))))
* [misc]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))) (exp (+ (log (* (cos phi2) (cos phi1))) (log (* (sin lambda2) (sin lambda1)))))))) R))
* * * * [misc]progress:  [ 18 / 81 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (exp (log (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) R))>
* * * * [misc]progress:  [ 19 / 81 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (log (exp (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) R))>
* * * * [misc]progress:  [ 20 / 81 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (cbrt (* (* (* (* (cos phi1) (cos phi1)) (cos phi1)) (* (* (cos phi2) (cos phi2)) (cos phi2))) (* (* (* (sin lambda1) (sin lambda1)) (sin lambda1)) (* (* (sin lambda2) (sin lambda2)) (sin lambda2)))))))) R))>
* [enter]simplify:  Simplifying (* (* (* (* (cos phi1) (cos phi1)) (cos phi1)) (* (* (cos phi2) (cos phi2)) (cos phi2))) (* (* (* (sin lambda1) (sin lambda1)) (sin lambda1)) (* (* (sin lambda2) (sin lambda2)) (sin lambda2))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (144 enodes)
* [exit]simplify:  Simplified to (* (* (pow (cos phi2) 3) (pow (sin lambda2) 3)) (* (pow (sin lambda1) 3) (pow (cos phi1) 3)))
* [misc]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))) (cbrt (* (* (pow (cos phi2) 3) (pow (sin lambda2) 3)) (* (pow (sin lambda1) 3) (pow (cos phi1) 3))))))) R))
* * * * [misc]progress:  [ 21 / 81 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (cbrt (* (* (* (* (cos phi1) (cos phi1)) (cos phi1)) (* (* (cos phi2) (cos phi2)) (cos phi2))) (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2)))))))) R))>
* [enter]simplify:  Simplifying (* (* (* (* (cos phi1) (cos phi1)) (cos phi1)) (* (* (cos phi2) (cos phi2)) (cos phi2))) (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (130 enodes)
* [exit]simplify:  Simplified to (* (pow (* (sin lambda2) (sin lambda1)) 3) (* (pow (cos phi1) 3) (pow (cos phi2) 3)))
* [misc]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))) (cbrt (* (pow (* (sin lambda2) (sin lambda1)) 3) (* (pow (cos phi1) 3) (pow (cos phi2) 3))))))) R))
* * * * [misc]progress:  [ 22 / 81 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (cbrt (* (* (* (* (cos phi1) (cos phi2)) (* (cos phi1) (cos phi2))) (* (cos phi1) (cos phi2))) (* (* (* (sin lambda1) (sin lambda1)) (sin lambda1)) (* (* (sin lambda2) (sin lambda2)) (sin lambda2)))))))) R))>
* [enter]simplify:  Simplifying (* (* (* (* (cos phi1) (cos phi2)) (* (cos phi1) (cos phi2))) (* (cos phi1) (cos phi2))) (* (* (* (sin lambda1) (sin lambda1)) (sin lambda1)) (* (* (sin lambda2) (sin lambda2)) (sin lambda2))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (130 enodes)
* [exit]simplify:  Simplified to (* (* (pow (sin lambda2) 3) (pow (sin lambda1) 3)) (pow (* (cos phi2) (cos phi1)) 3))
* [misc]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))) (cbrt (* (* (pow (sin lambda2) 3) (pow (sin lambda1) 3)) (pow (* (cos phi2) (cos phi1)) 3)))))) R))
* * * * [misc]progress:  [ 23 / 81 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (cbrt (* (* (* (* (cos phi1) (cos phi2)) (* (cos phi1) (cos phi2))) (* (cos phi1) (cos phi2))) (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2)))))))) R))>
* [enter]simplify:  Simplifying (* (* (* (* (cos phi1) (cos phi2)) (* (cos phi1) (cos phi2))) (* (cos phi1) (cos phi2))) (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (116 enodes)
* * [misc]simplify:  iters left: 3 (467 enodes)
* [exit]simplify:  Simplified to (* (pow (* (sin lambda1) (sin lambda2)) 3) (pow (* (cos phi2) (cos phi1)) 3))
* [misc]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))) (cbrt (* (pow (* (sin lambda1) (sin lambda2)) 3) (pow (* (cos phi2) (cos phi1)) 3)))))) R))
* * * * [misc]progress:  [ 24 / 81 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cbrt (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))) (cbrt (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))) (cbrt (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) R))>
* * * * [misc]progress:  [ 25 / 81 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (cbrt (* (* (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) R))>
* * * * [misc]progress:  [ 26 / 81 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (sqrt (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))) (sqrt (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) R))>
* * * * [misc]progress:  [ 27 / 81 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (/ (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2)))) (* 2 2))))) R))>
* [enter]simplify:  Simplifying (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (72 enodes)
* * [misc]simplify:  iters left: 2 (153 enodes)
* * [misc]simplify:  iters left: 1 (305 enodes)
* [exit]simplify:  Simplified to (* (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) (+ (cos (+ phi2 phi1)) (cos (- phi1 phi2))))
* [misc]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))) (/ (* (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) (+ (cos (+ phi2 phi1)) (cos (- phi1 phi2)))) (* 2 2))))) R))
* [enter]simplify:  Simplifying (* 2 2)
* * [misc]simplify:  iters left: 2 (2 enodes)
* [exit]simplify:  Simplified to (* 2 2)
* [misc]simplify:  Simplified (2 1 1 2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (/ (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2)))) (* 2 2))))) R))
* * * * [misc]progress:  [ 28 / 81 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* 1 (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) R))>
* * * * [misc]progress:  [ 29 / 81 ] 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))>
* [enter]simplify:  Simplifying (sin lambda2)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (sin lambda2)
* [misc]simplify:  Simplified (2 1 1 2 2 2) to (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))
* * * * [misc]progress:  [ 30 / 81 ] 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))>
* [enter]simplify:  Simplifying (cos phi1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (cos phi1)
* [misc]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))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))) R))
* * * * [misc]progress:  [ 31 / 81 ] 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)) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2)))) 2)))) R))>
* * * * [misc]progress:  [ 32 / 81 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (/ (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (* (sin lambda1) (sin lambda2))) 2)))) R))>
* [enter]simplify:  Simplifying (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (* (sin lambda1) (sin lambda2)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (61 enodes)
* * [misc]simplify:  iters left: 2 (77 enodes)
* [exit]simplify:  Simplified to (* (* (sin lambda1) (sin lambda2)) (+ (cos (+ phi2 phi1)) (cos (- phi1 phi2))))
* [misc]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)) (+ (cos (+ phi2 phi1)) (cos (- phi1 phi2)))) 2)))) R))
* * * * [misc]progress:  [ 33 / 81 ] 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)) (* (cos phi1) (cos phi2)))))) R))>
* * * * [misc]progress:  [ 34 / 81 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R) 1))>
* * * * [misc]progress:  [ 35 / 81 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (exp (log (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R))))>
* * * * [misc]progress:  [ 36 / 81 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (log (exp (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R))))>
* * * * [misc]progress:  [ 37 / 81 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R))))>
* * * * [misc]progress:  [ 38 / 81 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (cbrt (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R))))>
* * * * [misc]progress:  [ 39 / 81 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R))))>
* * * * [misc]progress:  [ 40 / 81 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* 1 (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R)))>
* * * * [misc]progress:  [ 41 / 81 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) R)))>
* [enter]simplify:  Simplifying (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (43 enodes)
* * [misc]simplify:  iters left: 4 (98 enodes)
* * [misc]simplify:  iters left: 3 (155 enodes)
* * [misc]simplify:  iters left: 2 (176 enodes)
* [exit]simplify:  Simplified to (* (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (* (cos phi1) (cos phi2)))))) (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (* (cos phi1) (cos phi2)))))))
* [misc]simplify:  Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (* (cos phi1) (cos phi2)))))) (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (* (cos phi1) (cos phi2))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) R)))
* * * * [misc]progress:  [ 42 / 81 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) R)))>
* [enter]simplify:  Simplifying (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (97 enodes)
* * [misc]simplify:  iters left: 3 (157 enodes)
* * [misc]simplify:  iters left: 2 (190 enodes)
* [exit]simplify:  Simplified to (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (* (cos phi1) (cos phi2))))))
* [misc]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)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) R)))
* * * * [misc]progress:  [ 43 / 81 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* 1 (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R)))>
* * * * [misc]progress:  [ 44 / 81 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))))>
* * * * [misc]progress:  [ 45 / 81 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (pow (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) 1) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R))>
* [enter]simplify:  Simplifying (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2)))
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (37 enodes)
* * [misc]simplify:  iters left: 2 (61 enodes)
* * [misc]simplify:  iters left: 1 (83 enodes)
* [exit]simplify:  Simplified to (* (* (cos lambda2) (cos phi2)) (* (cos lambda1) (cos phi1)))
* [misc]simplify:  Simplified (2 1 1 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (pow (* (* (cos lambda2) (cos phi2)) (* (cos lambda1) (cos phi1))) 1) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R))
* * * * [misc]progress:  [ 46 / 81 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (pow (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) 1) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R))>
* [enter]simplify:  Simplifying (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2)))
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (37 enodes)
* * [misc]simplify:  iters left: 2 (61 enodes)
* * [misc]simplify:  iters left: 1 (83 enodes)
* [exit]simplify:  Simplified to (* (* (cos lambda2) (cos phi2)) (* (cos lambda1) (cos phi1)))
* [misc]simplify:  Simplified (2 1 1 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (pow (* (* (cos lambda2) (cos phi2)) (* (cos lambda1) (cos phi1))) 1) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R))
* * * * [misc]progress:  [ 47 / 81 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (pow (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) 1) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R))>
* [enter]simplify:  Simplifying (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2)))
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (37 enodes)
* * [misc]simplify:  iters left: 2 (61 enodes)
* * [misc]simplify:  iters left: 1 (83 enodes)
* [exit]simplify:  Simplified to (* (* (cos lambda2) (cos phi2)) (* (cos lambda1) (cos phi1)))
* [misc]simplify:  Simplified (2 1 1 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (pow (* (* (cos lambda2) (cos phi2)) (* (cos lambda1) (cos phi1))) 1) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R))
* * * * [misc]progress:  [ 48 / 81 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (pow (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) 1) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R))>
* [enter]simplify:  Simplifying (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2)))
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (37 enodes)
* * [misc]simplify:  iters left: 2 (61 enodes)
* * [misc]simplify:  iters left: 1 (83 enodes)
* [exit]simplify:  Simplified to (* (* (cos lambda2) (cos phi2)) (* (cos lambda1) (cos phi1)))
* [misc]simplify:  Simplified (2 1 1 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (pow (* (* (cos lambda2) (cos phi2)) (* (cos lambda1) (cos phi1))) 1) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R))
* * * * [misc]progress:  [ 49 / 81 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (pow (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) 1) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R))>
* * * * [misc]progress:  [ 50 / 81 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (exp (+ (+ (log (cos phi1)) (log (cos phi2))) (+ (log (cos lambda1)) (log (cos lambda2))))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R))>
* [enter]simplify:  Simplifying (+ (+ (log (cos phi1)) (log (cos phi2))) (+ (log (cos lambda1)) (log (cos lambda2))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (64 enodes)
* * [misc]simplify:  iters left: 2 (82 enodes)
* [exit]simplify:  Simplified to (+ (+ (log (cos lambda1)) (log (cos phi1))) (+ (log (cos phi2)) (log (cos lambda2))))
* [misc]simplify:  Simplified (2 1 1 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (exp (+ (+ (log (cos lambda1)) (log (cos phi1))) (+ (log (cos phi2)) (log (cos lambda2))))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R))
* * * * [misc]progress:  [ 51 / 81 ] 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))))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R))>
* [enter]simplify:  Simplifying (+ (+ (log (cos phi1)) (log (cos phi2))) (log (* (cos lambda1) (cos lambda2))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (59 enodes)
* * [misc]simplify:  iters left: 2 (73 enodes)
* [exit]simplify:  Simplified to (+ (log (* (cos lambda1) (cos lambda2))) (+ (log (cos phi2)) (log (cos phi1))))
* [misc]simplify:  Simplified (2 1 1 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (exp (+ (log (* (cos lambda1) (cos lambda2))) (+ (log (cos phi2)) (log (cos phi1))))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R))
* * * * [misc]progress:  [ 52 / 81 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (exp (+ (log (* (cos phi1) (cos phi2))) (+ (log (cos lambda1)) (log (cos lambda2))))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R))>
* [enter]simplify:  Simplifying (+ (log (* (cos phi1) (cos phi2))) (+ (log (cos lambda1)) (log (cos lambda2))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (59 enodes)
* * [misc]simplify:  iters left: 2 (74 enodes)
* [exit]simplify:  Simplified to (+ (log (* (cos phi2) (cos phi1))) (+ (log (cos lambda1)) (log (cos lambda2))))
* [misc]simplify:  Simplified (2 1 1 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (exp (+ (log (* (cos phi2) (cos phi1))) (+ (log (cos lambda1)) (log (cos lambda2))))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R))
* * * * [misc]progress:  [ 53 / 81 ] 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))))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R))>
* [enter]simplify:  Simplifying (+ (log (* (cos phi1) (cos phi2))) (log (* (cos lambda1) (cos lambda2))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (55 enodes)
* * [misc]simplify:  iters left: 2 (71 enodes)
* * [misc]simplify:  iters left: 1 (76 enodes)
* [exit]simplify:  Simplified to (+ (log (* (cos phi2) (cos phi1))) (log (* (cos lambda2) (cos lambda1))))
* [misc]simplify:  Simplified (2 1 1 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (exp (+ (log (* (cos phi2) (cos phi1))) (log (* (cos lambda2) (cos lambda1))))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R))
* * * * [misc]progress:  [ 54 / 81 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (exp (log (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R))>
* * * * [misc]progress:  [ 55 / 81 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (log (exp (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R))>
* * * * [misc]progress:  [ 56 / 81 ] 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 lambda1)) (cos lambda1)) (* (* (cos lambda2) (cos lambda2)) (cos lambda2))))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R))>
* [enter]simplify:  Simplifying (* (* (* (* (cos phi1) (cos phi1)) (cos phi1)) (* (* (cos phi2) (cos phi2)) (cos phi2))) (* (* (* (cos lambda1) (cos lambda1)) (cos lambda1)) (* (* (cos lambda2) (cos lambda2)) (cos lambda2))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (144 enodes)
* [exit]simplify:  Simplified to (* (* (pow (cos phi2) 3) (pow (cos lambda2) 3)) (* (pow (cos lambda1) 3) (pow (cos phi1) 3)))
* [misc]simplify:  Simplified (2 1 1 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (cbrt (* (* (pow (cos phi2) 3) (pow (cos lambda2) 3)) (* (pow (cos lambda1) 3) (pow (cos phi1) 3)))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R))
* * * * [misc]progress:  [ 57 / 81 ] 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)) (* (cos lambda1) (cos lambda2))) (* (cos lambda1) (cos lambda2))))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R))>
* [enter]simplify:  Simplifying (* (* (* (* (cos phi1) (cos phi1)) (cos phi1)) (* (* (cos phi2) (cos phi2)) (cos phi2))) (* (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (* (cos lambda1) (cos lambda2))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (130 enodes)
* [exit]simplify:  Simplified to (* (pow (* (cos lambda2) (cos lambda1)) 3) (* (pow (cos phi1) 3) (pow (cos phi2) 3)))
* [misc]simplify:  Simplified (2 1 1 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (cbrt (* (pow (* (cos lambda2) (cos lambda1)) 3) (* (pow (cos phi1) 3) (pow (cos phi2) 3)))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R))
* * * * [misc]progress:  [ 58 / 81 ] 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 lambda1)) (cos lambda1)) (* (* (cos lambda2) (cos lambda2)) (cos lambda2))))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R))>
* [enter]simplify:  Simplifying (* (* (* (* (cos phi1) (cos phi2)) (* (cos phi1) (cos phi2))) (* (cos phi1) (cos phi2))) (* (* (* (cos lambda1) (cos lambda1)) (cos lambda1)) (* (* (cos lambda2) (cos lambda2)) (cos lambda2))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (130 enodes)
* [exit]simplify:  Simplified to (* (* (pow (cos lambda2) 3) (pow (cos lambda1) 3)) (pow (* (cos phi2) (cos phi1)) 3))
* [misc]simplify:  Simplified (2 1 1 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (cbrt (* (* (pow (cos lambda2) 3) (pow (cos lambda1) 3)) (pow (* (cos phi2) (cos phi1)) 3))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R))
* * * * [misc]progress:  [ 59 / 81 ] 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)) (* (cos lambda1) (cos lambda2))) (* (cos lambda1) (cos lambda2))))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R))>
* [enter]simplify:  Simplifying (* (* (* (* (cos phi1) (cos phi2)) (* (cos phi1) (cos phi2))) (* (cos phi1) (cos phi2))) (* (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (* (cos lambda1) (cos lambda2))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (116 enodes)
* * [misc]simplify:  iters left: 3 (467 enodes)
* [exit]simplify:  Simplified to (* (pow (* (cos lambda1) (cos lambda2)) 3) (pow (* (cos phi2) (cos phi1)) 3))
* [misc]simplify:  Simplified (2 1 1 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (cbrt (* (pow (* (cos lambda1) (cos lambda2)) 3) (pow (* (cos phi2) (cos phi1)) 3))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R))
* * * * [misc]progress:  [ 60 / 81 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cbrt (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2)))) (cbrt (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))))) (cbrt (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R))>
* * * * [misc]progress:  [ 61 / 81 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (cbrt (* (* (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2)))) (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R))>
* * * * [misc]progress:  [ 62 / 81 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sqrt (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2)))) (sqrt (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R))>
* * * * [misc]progress:  [ 63 / 81 ] 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 phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R))>
* [enter]simplify:  Simplifying (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (+ (cos (+ lambda1 lambda2)) (cos (- lambda1 lambda2))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (58 enodes)
* * [misc]simplify:  iters left: 3 (98 enodes)
* * [misc]simplify:  iters left: 2 (154 enodes)
* * [misc]simplify:  iters left: 1 (181 enodes)
* [exit]simplify:  Simplified to (* (+ (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) (+ (cos (+ phi2 phi1)) (cos (- phi1 phi2))))
* [misc]simplify:  Simplified (2 1 1 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (/ (* (+ (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) (+ (cos (+ phi2 phi1)) (cos (- phi1 phi2)))) (* 2 2)) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R))
* [enter]simplify:  Simplifying (* 2 2)
* * [misc]simplify:  iters left: 2 (2 enodes)
* [exit]simplify:  Simplified to (* 2 2)
* [misc]simplify:  Simplified (2 1 1 2 1 2) to (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 phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R))
* * * * [misc]progress:  [ 64 / 81 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* 1 (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2)))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R))>
* * * * [misc]progress:  [ 65 / 81 ] 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))>
* [enter]simplify:  Simplifying (cos lambda2)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (cos lambda2)
* [misc]simplify:  Simplified (2 1 1 2 1 2) to (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))
* * * * [misc]progress:  [ 66 / 81 ] 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))>
* [enter]simplify:  Simplifying (cos phi1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (cos phi1)
* [misc]simplify:  Simplified (2 1 1 2 1 1) to (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))
* * * * [misc]progress:  [ 67 / 81 ] 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) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R))>
* * * * [misc]progress:  [ 68 / 81 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (/ (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (* (cos lambda1) (cos lambda2))) 2) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R))>
* [enter]simplify:  Simplifying (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (* (cos lambda1) (cos lambda2)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (61 enodes)
* * [misc]simplify:  iters left: 2 (77 enodes)
* [exit]simplify:  Simplified to (* (* (cos lambda1) (cos lambda2)) (+ (cos (+ phi2 phi1)) (cos (- phi1 phi2))))
* [misc]simplify:  Simplified (2 1 1 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (/ (* (* (cos lambda1) (cos lambda2)) (+ (cos (+ phi2 phi1)) (cos (- phi1 phi2)))) 2) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R))
* * * * [misc]progress:  [ 69 / 81 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R))>
* * * * [misc]progress:  [ 70 / 81 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) R))>
* [enter]simplify:  Simplifying (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (89 enodes)
* * [misc]simplify:  iters left: 3 (153 enodes)
* * [misc]simplify:  iters left: 2 (190 enodes)
* [exit]simplify:  Simplified to (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1)))))
* [misc]simplify:  Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))))) R))
* * * * [misc]progress:  [ 71 / 81 ] 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))>
* [enter]simplify:  Simplifying (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (89 enodes)
* * [misc]simplify:  iters left: 3 (153 enodes)
* * [misc]simplify:  iters left: 2 (190 enodes)
* [exit]simplify:  Simplified to (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1)))))
* [misc]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))
* * * * [misc]progress:  [ 72 / 81 ] 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))>
* [enter]simplify:  Simplifying (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (89 enodes)
* * [misc]simplify:  iters left: 3 (153 enodes)
* * [misc]simplify:  iters left: 2 (190 enodes)
* [exit]simplify:  Simplified to (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1)))))
* [misc]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))
* * * * [misc]progress:  [ 73 / 81 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) 0))) R))>
* [enter]simplify:  Simplifying 0
* * [misc]simplify:  iters left: 0 (1 enodes)
* [exit]simplify:  Simplified to 0
* [misc]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))) 0))) R))
* * * * [misc]progress:  [ 74 / 81 ] 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 lambda2) (sin lambda1))))))) R))>
* [enter]simplify:  Simplifying (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (61 enodes)
* * [misc]simplify:  iters left: 2 (73 enodes)
* [exit]simplify:  Simplified to (* (* (cos phi1) (sin lambda1)) (* (cos phi2) (sin lambda2)))
* [misc]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 lambda1)) (* (cos phi2) (sin lambda2)))))) R))
* * * * [misc]progress:  [ 75 / 81 ] 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))>
* [enter]simplify:  Simplifying (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (61 enodes)
* * [misc]simplify:  iters left: 2 (73 enodes)
* [exit]simplify:  Simplified to (* (* (cos phi1) (sin lambda2)) (* (cos phi2) (sin lambda1)))
* [misc]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))
* * * * [misc]progress:  [ 76 / 81 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))))>
* [enter]simplify:  Simplifying (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (43 enodes)
* * [misc]simplify:  iters left: 4 (92 enodes)
* * [misc]simplify:  iters left: 3 (156 enodes)
* * [misc]simplify:  iters left: 2 (190 enodes)
* [exit]simplify:  Simplified to (* R (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))
* [misc]simplify:  Simplified (2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))))
* * * * [misc]progress:  [ 77 / 81 ] 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))>
* [enter]simplify:  Simplifying (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R)
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (43 enodes)
* * [misc]simplify:  iters left: 4 (92 enodes)
* * [misc]simplify:  iters left: 3 (157 enodes)
* * [misc]simplify:  iters left: 2 (190 enodes)
* [exit]simplify:  Simplified to (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))))) R)
* [misc]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))
* * * * [misc]progress:  [ 78 / 81 ] 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)))))))>
* [enter]simplify:  Simplifying (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (43 enodes)
* * [misc]simplify:  iters left: 4 (92 enodes)
* * [misc]simplify:  iters left: 3 (156 enodes)
* * [misc]simplify:  iters left: 2 (190 enodes)
* [exit]simplify:  Simplified to (* R (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi2) (cos phi1)) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2)))))))
* [misc]simplify:  Simplified (2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi2) (cos phi1)) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))))))))
* * * * [misc]progress:  [ 79 / 81 ] 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)))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R))>
* [enter]simplify:  Simplifying (- 1 (+ (* 1/2 (pow phi2 2)) (* 1/2 (pow phi1 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (47 enodes)
* * [misc]simplify:  iters left: 3 (88 enodes)
* * [misc]simplify:  iters left: 2 (115 enodes)
* * [misc]simplify:  iters left: 1 (134 enodes)
* [exit]simplify:  Simplified to (- 1 (* (+ (* phi1 phi1) (* phi2 phi2)) 1/2))
* [misc]simplify:  Simplified (2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (- 1 (* (+ (* phi1 phi1) (* phi2 phi2)) 1/2)) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R))
* * * * [misc]progress:  [ 80 / 81 ] 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))>
* [enter]simplify:  Simplifying (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (61 enodes)
* * [misc]simplify:  iters left: 2 (73 enodes)
* [exit]simplify:  Simplified to (* (* (cos phi1) (cos lambda2)) (* (cos phi2) (cos lambda1)))
* [misc]simplify:  Simplified (2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos lambda2)) (* (cos phi2) (cos lambda1))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R))
* * * * [misc]progress:  [ 81 / 81 ] 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))>
* [enter]simplify:  Simplifying (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (61 enodes)
* * [misc]simplify:  iters left: 2 (73 enodes)
* [exit]simplify:  Simplified to (* (* (cos phi1) (cos lambda2)) (* (cos phi2) (cos lambda1)))
* [misc]simplify:  Simplified (2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos lambda2)) (* (cos phi2) (cos lambda1))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R))
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  iteration 3 / 4
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) R))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 4 ] rewriting at (2 1)
* * * * [misc]progress:  [ 2 / 4 ] rewriting at (2 1 2)
* * * * [misc]progress:  [ 3 / 4 ] rewriting at (2 1 2 1 2 2)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 4 ] generating series at (2 1)
* [misc]approximate:  Taking taylor expansion of (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) in (phi1 phi2 lambda1 lambda2) around 0
* [misc]taylor:  Taking taylor expansion of (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ PI 2) in lambda2
* [misc]taylor:  Taking taylor expansion of PI in lambda2
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in lambda2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ PI 2) into (* 1/2 PI)
* [misc]taylor:  Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) in lambda2
* [misc]backup-simplify:  Simplify (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
* [misc]taylor:  Taking taylor expansion of (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ PI 2) in lambda1
* [misc]taylor:  Taking taylor expansion of PI in lambda1
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in lambda1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ PI 2) into (* 1/2 PI)
* [misc]taylor:  Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) in lambda1
* [misc]backup-simplify:  Simplify (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
* [misc]taylor:  Taking taylor expansion of (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (/ PI 2) in phi2
* [misc]taylor:  Taking taylor expansion of PI in phi2
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ PI 2) into (* 1/2 PI)
* [misc]taylor:  Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) in phi2
* [misc]backup-simplify:  Simplify (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
* [misc]taylor:  Taking taylor expansion of (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) in phi1
* [misc]taylor:  Taking taylor expansion of (/ PI 2) in phi1
* [misc]taylor:  Taking taylor expansion of PI in phi1
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in phi1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ PI 2) into (* 1/2 PI)
* [misc]taylor:  Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) in phi1
* [misc]backup-simplify:  Simplify (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
* [misc]taylor:  Taking taylor expansion of (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) in phi1
* [misc]taylor:  Taking taylor expansion of (/ PI 2) in phi1
* [misc]taylor:  Taking taylor expansion of PI in phi1
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in phi1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ PI 2) into (* 1/2 PI)
* [misc]taylor:  Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) in phi1
* [misc]backup-simplify:  Simplify (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
* [misc]backup-simplify:  Simplify (- (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) into (- (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))))
* [misc]backup-simplify:  Simplify (+ (* 1/2 PI) (- (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))))) into (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))))
* [misc]taylor:  Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 PI) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of PI in phi2
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) in phi2
* [misc]backup-simplify:  Simplify (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
* [misc]backup-simplify:  Simplify (* 1/2 PI) into (* 1/2 PI)
* [misc]backup-simplify:  Simplify (- (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) into (- (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))))
* [misc]backup-simplify:  Simplify (+ (* 1/2 PI) (- (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))))) into (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))))
* [misc]taylor:  Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* 1/2 PI) in lambda1
* [misc]taylor:  Taking taylor expansion of 1/2 in lambda1
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of PI in lambda1
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1
* [misc]backup-simplify:  Simplify (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
* [misc]backup-simplify:  Simplify (* 1/2 PI) into (* 1/2 PI)
* [misc]backup-simplify:  Simplify (- (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) into (- (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))))
* [misc]backup-simplify:  Simplify (+ (* 1/2 PI) (- (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))))) into (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))))
* [misc]taylor:  Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* 1/2 PI) in lambda2
* [misc]taylor:  Taking taylor expansion of 1/2 in lambda2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of PI in lambda2
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2
* [misc]backup-simplify:  Simplify (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
* [misc]backup-simplify:  Simplify (* 1/2 PI) into (* 1/2 PI)
* [misc]backup-simplify:  Simplify (- (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) into (- (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))))
* [misc]backup-simplify:  Simplify (+ (* 1/2 PI) (- (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))))) into (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))))
* [misc]backup-simplify:  Simplify (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) into (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))))
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 PI)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 PI)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 PI)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) into (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))))
* [misc]approximate:  Taking taylor expansion of (- (/ PI 2) (asin (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2)))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))))))) in (phi1 phi2 lambda1 lambda2) around 0
* [misc]taylor:  Taking taylor expansion of (- (/ PI 2) (asin (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2)))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))))))) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ PI 2) in lambda2
* [misc]taylor:  Taking taylor expansion of PI in lambda2
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in lambda2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ PI 2) into (* 1/2 PI)
* [misc]taylor:  Taking taylor expansion of (asin (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2)))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))))) in lambda2
* [misc]backup-simplify:  Simplify (asin (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2)))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (sin (/ 1 lambda1)) (sin (/ 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))))))))
* [misc]taylor:  Taking taylor expansion of (- (/ PI 2) (asin (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2)))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ PI 2) in lambda1
* [misc]taylor:  Taking taylor expansion of PI in lambda1
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in lambda1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ PI 2) into (* 1/2 PI)
* [misc]taylor:  Taking taylor expansion of (asin (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2)))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))))) in lambda1
* [misc]backup-simplify:  Simplify (asin (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2)))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (sin (/ 1 lambda1)) (sin (/ 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))))))))
* [misc]taylor:  Taking taylor expansion of (- (/ PI 2) (asin (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2)))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (/ PI 2) in phi2
* [misc]taylor:  Taking taylor expansion of PI in phi2
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ PI 2) into (* 1/2 PI)
* [misc]taylor:  Taking taylor expansion of (asin (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2)))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))))) in phi2
* [misc]backup-simplify:  Simplify (asin (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2)))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (sin (/ 1 lambda1)) (sin (/ 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))))))))
* [misc]taylor:  Taking taylor expansion of (- (/ PI 2) (asin (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2)))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))))))) in phi1
* [misc]taylor:  Taking taylor expansion of (/ PI 2) in phi1
* [misc]taylor:  Taking taylor expansion of PI in phi1
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in phi1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ PI 2) into (* 1/2 PI)
* [misc]taylor:  Taking taylor expansion of (asin (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2)))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))))) in phi1
* [misc]backup-simplify:  Simplify (asin (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2)))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (sin (/ 1 lambda1)) (sin (/ 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))))))))
* [misc]taylor:  Taking taylor expansion of (- (/ PI 2) (asin (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2)))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))))))) in phi1
* [misc]taylor:  Taking taylor expansion of (/ PI 2) in phi1
* [misc]taylor:  Taking taylor expansion of PI in phi1
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in phi1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ PI 2) into (* 1/2 PI)
* [misc]taylor:  Taking taylor expansion of (asin (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2)))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))))) in phi1
* [misc]backup-simplify:  Simplify (asin (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2)))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (sin (/ 1 lambda1)) (sin (/ 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))))))))
* [misc]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)))))))))
* [misc]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)))))))))
* [misc]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
* [misc]taylor:  Taking taylor expansion of (* 1/2 PI) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of PI in phi2
* [misc]backup-simplify:  Simplify PI into PI
* [misc]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
* [misc]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))))))))
* [misc]backup-simplify:  Simplify (* 1/2 PI) into (* 1/2 PI)
* [misc]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)))))))))
* [misc]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)))))))))
* [misc]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
* [misc]taylor:  Taking taylor expansion of (* 1/2 PI) in lambda1
* [misc]taylor:  Taking taylor expansion of 1/2 in lambda1
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of PI in lambda1
* [misc]backup-simplify:  Simplify PI into PI
* [misc]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
* [misc]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))))))))
* [misc]backup-simplify:  Simplify (* 1/2 PI) into (* 1/2 PI)
* [misc]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)))))))))
* [misc]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)))))))))
* [misc]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
* [misc]taylor:  Taking taylor expansion of (* 1/2 PI) in lambda2
* [misc]taylor:  Taking taylor expansion of 1/2 in lambda2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of PI in lambda2
* [misc]backup-simplify:  Simplify PI into PI
* [misc]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
* [misc]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))))))))
* [misc]backup-simplify:  Simplify (* 1/2 PI) into (* 1/2 PI)
* [misc]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)))))))))
* [misc]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)))))))))
* [misc]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)))))))))
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 PI)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 PI)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 PI)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]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))))))
* [misc]approximate:  Taking taylor expansion of (- (/ PI 2) (asin (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (+ (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2))))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))))))) in (phi1 phi2 lambda1 lambda2) around 0
* [misc]taylor:  Taking taylor expansion of (- (/ PI 2) (asin (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (+ (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2))))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))))))) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ PI 2) in lambda2
* [misc]taylor:  Taking taylor expansion of PI in lambda2
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in lambda2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ PI 2) into (* 1/2 PI)
* [misc]taylor:  Taking taylor expansion of (asin (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (+ (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2))))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) in lambda2
* [misc]backup-simplify:  Simplify (asin (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (+ (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2))))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) into (asin (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ -1 lambda2)) (cos (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
* [misc]taylor:  Taking taylor expansion of (- (/ PI 2) (asin (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (+ (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2))))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ PI 2) in lambda1
* [misc]taylor:  Taking taylor expansion of PI in lambda1
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in lambda1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ PI 2) into (* 1/2 PI)
* [misc]taylor:  Taking taylor expansion of (asin (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (+ (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2))))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) in lambda1
* [misc]backup-simplify:  Simplify (asin (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (+ (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2))))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) into (asin (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ -1 lambda2)) (cos (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
* [misc]taylor:  Taking taylor expansion of (- (/ PI 2) (asin (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (+ (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2))))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (/ PI 2) in phi2
* [misc]taylor:  Taking taylor expansion of PI in phi2
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ PI 2) into (* 1/2 PI)
* [misc]taylor:  Taking taylor expansion of (asin (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (+ (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2))))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) in phi2
* [misc]backup-simplify:  Simplify (asin (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (+ (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2))))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) into (asin (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ -1 lambda2)) (cos (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
* [misc]taylor:  Taking taylor expansion of (- (/ PI 2) (asin (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (+ (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2))))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))))))) in phi1
* [misc]taylor:  Taking taylor expansion of (/ PI 2) in phi1
* [misc]taylor:  Taking taylor expansion of PI in phi1
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in phi1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ PI 2) into (* 1/2 PI)
* [misc]taylor:  Taking taylor expansion of (asin (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (+ (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2))))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) in phi1
* [misc]backup-simplify:  Simplify (asin (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (+ (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2))))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) into (asin (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ -1 lambda2)) (cos (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
* [misc]taylor:  Taking taylor expansion of (- (/ PI 2) (asin (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (+ (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2))))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))))))) in phi1
* [misc]taylor:  Taking taylor expansion of (/ PI 2) in phi1
* [misc]taylor:  Taking taylor expansion of PI in phi1
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in phi1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ PI 2) into (* 1/2 PI)
* [misc]taylor:  Taking taylor expansion of (asin (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (+ (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2))))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) in phi1
* [misc]backup-simplify:  Simplify (asin (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (+ (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2))))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) into (asin (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ -1 lambda2)) (cos (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
* [misc]backup-simplify:  Simplify (- (asin (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ -1 lambda2)) (cos (/ -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)))))))))
* [misc]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)))))))))
* [misc]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
* [misc]taylor:  Taking taylor expansion of (* 1/2 PI) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of PI in phi2
* [misc]backup-simplify:  Simplify PI into PI
* [misc]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
* [misc]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))))))))
* [misc]backup-simplify:  Simplify (* 1/2 PI) into (* 1/2 PI)
* [misc]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)))))))))
* [misc]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)))))))))
* [misc]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
* [misc]taylor:  Taking taylor expansion of (* 1/2 PI) in lambda1
* [misc]taylor:  Taking taylor expansion of 1/2 in lambda1
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of PI in lambda1
* [misc]backup-simplify:  Simplify PI into PI
* [misc]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
* [misc]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))))))))
* [misc]backup-simplify:  Simplify (* 1/2 PI) into (* 1/2 PI)
* [misc]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)))))))))
* [misc]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)))))))))
* [misc]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 lambda2
* [misc]taylor:  Taking taylor expansion of (* 1/2 PI) in lambda2
* [misc]taylor:  Taking taylor expansion of 1/2 in lambda2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of PI in lambda2
* [misc]backup-simplify:  Simplify PI into PI
* [misc]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 lambda2
* [misc]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))))))))
* [misc]backup-simplify:  Simplify (* 1/2 PI) into (* 1/2 PI)
* [misc]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)))))))))
* [misc]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)))))))))
* [misc]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)))))))))
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 PI)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 PI)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 PI)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]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))))))
* * * * [misc]progress:  [ 2 / 4 ] generating series at (2 1 2)
* [misc]approximate:  Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) in (phi1 phi2 lambda1 lambda2) around 0
* [misc]taylor:  Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) in lambda2
* [misc]backup-simplify:  Simplify (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
* [misc]taylor:  Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) in lambda1
* [misc]backup-simplify:  Simplify (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
* [misc]taylor:  Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) in phi2
* [misc]backup-simplify:  Simplify (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
* [misc]taylor:  Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) in phi1
* [misc]backup-simplify:  Simplify (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
* [misc]taylor:  Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) in phi1
* [misc]backup-simplify:  Simplify (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
* [misc]taylor:  Taking taylor expansion of (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) in phi2
* [misc]backup-simplify:  Simplify (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
* [misc]taylor:  Taking taylor expansion of (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1
* [misc]backup-simplify:  Simplify (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
* [misc]taylor:  Taking taylor expansion of (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2
* [misc]backup-simplify:  Simplify (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
* [misc]backup-simplify:  Simplify (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
* [misc]taylor:  Taking taylor expansion of 0 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
* [misc]approximate:  Taking taylor expansion of (asin (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2)))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))))) in (phi1 phi2 lambda1 lambda2) around 0
* [misc]taylor:  Taking taylor expansion of (asin (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2)))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))))) in lambda2
* [misc]backup-simplify:  Simplify (asin (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2)))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (sin (/ 1 lambda1)) (sin (/ 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))))))))
* [misc]taylor:  Taking taylor expansion of (asin (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2)))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))))) in lambda1
* [misc]backup-simplify:  Simplify (asin (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2)))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (sin (/ 1 lambda1)) (sin (/ 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))))))))
* [misc]taylor:  Taking taylor expansion of (asin (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2)))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))))) in phi2
* [misc]backup-simplify:  Simplify (asin (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2)))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (sin (/ 1 lambda1)) (sin (/ 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))))))))
* [misc]taylor:  Taking taylor expansion of (asin (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2)))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))))) in phi1
* [misc]backup-simplify:  Simplify (asin (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2)))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (sin (/ 1 lambda1)) (sin (/ 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))))))))
* [misc]taylor:  Taking taylor expansion of (asin (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2)))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))))) in phi1
* [misc]backup-simplify:  Simplify (asin (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2)))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (sin (/ 1 lambda1)) (sin (/ 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))))))))
* [misc]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
* [misc]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))))))))
* [misc]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
* [misc]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))))))))
* [misc]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
* [misc]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))))))))
* [misc]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))))))))
* [misc]taylor:  Taking taylor expansion of 0 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]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)))))
* [misc]approximate:  Taking taylor expansion of (asin (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (+ (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2))))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) in (phi1 phi2 lambda1 lambda2) around 0
* [misc]taylor:  Taking taylor expansion of (asin (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (+ (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2))))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) in lambda2
* [misc]backup-simplify:  Simplify (asin (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (+ (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2))))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) into (asin (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ -1 lambda2)) (cos (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
* [misc]taylor:  Taking taylor expansion of (asin (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (+ (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2))))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) in lambda1
* [misc]backup-simplify:  Simplify (asin (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (+ (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2))))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) into (asin (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ -1 lambda2)) (cos (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
* [misc]taylor:  Taking taylor expansion of (asin (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (+ (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2))))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) in phi2
* [misc]backup-simplify:  Simplify (asin (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (+ (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2))))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) into (asin (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ -1 lambda2)) (cos (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
* [misc]taylor:  Taking taylor expansion of (asin (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (+ (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2))))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) in phi1
* [misc]backup-simplify:  Simplify (asin (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (+ (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2))))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) into (asin (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ -1 lambda2)) (cos (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
* [misc]taylor:  Taking taylor expansion of (asin (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (+ (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2))))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) in phi1
* [misc]backup-simplify:  Simplify (asin (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (+ (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2))))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) into (asin (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ -1 lambda2)) (cos (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
* [misc]taylor:  Taking taylor expansion of (asin (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ -1 lambda2)) (cos (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in phi2
* [misc]backup-simplify:  Simplify (asin (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ -1 lambda2)) (cos (/ -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))))))))
* [misc]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
* [misc]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))))))))
* [misc]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 lambda2
* [misc]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))))))))
* [misc]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))))))))
* [misc]taylor:  Taking taylor expansion of 0 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]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)))))
* * * * [misc]progress:  [ 3 / 4 ] generating series at (2 1 2 1 2 2)
* [misc]approximate:  Taking taylor expansion of (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) in (phi1 phi2 lambda1 lambda2) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* (cos phi1) (cos phi2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (cos phi1) in lambda2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (cos phi1) into (cos phi1)
* [misc]backup-simplify:  Simplify (sin phi1) into (sin phi1)
* [misc]taylor:  Taking taylor expansion of (cos phi2) in lambda2
* [misc]taylor:  Taking taylor expansion of phi2 in lambda2
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (cos phi2) into (cos phi2)
* [misc]backup-simplify:  Simplify (sin phi2) into (sin phi2)
* [misc]taylor:  Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (sin lambda1) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (sin lambda1) into (sin lambda1)
* [misc]backup-simplify:  Simplify (cos lambda1) into (cos lambda1)
* [misc]taylor:  Taking taylor expansion of (sin lambda2) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* (cos phi1) (cos phi2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (cos phi1) in lambda1
* [misc]taylor:  Taking taylor expansion of phi1 in lambda1
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (cos phi1) into (cos phi1)
* [misc]backup-simplify:  Simplify (sin phi1) into (sin phi1)
* [misc]taylor:  Taking taylor expansion of (cos phi2) in lambda1
* [misc]taylor:  Taking taylor expansion of phi2 in lambda1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (cos phi2) into (cos phi2)
* [misc]backup-simplify:  Simplify (sin phi2) into (sin phi2)
* [misc]taylor:  Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (sin lambda1) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sin lambda2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (sin lambda2) into (sin lambda2)
* [misc]backup-simplify:  Simplify (cos lambda2) into (cos lambda2)
* [misc]taylor:  Taking taylor expansion of (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (cos phi1) (cos phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (cos phi1) in phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (cos phi1) into (cos phi1)
* [misc]backup-simplify:  Simplify (sin phi1) into (sin phi1)
* [misc]taylor:  Taking taylor expansion of (cos phi2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in phi2
* [misc]taylor:  Taking taylor expansion of (sin lambda1) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (sin lambda1) into (sin lambda1)
* [misc]backup-simplify:  Simplify (cos lambda1) into (cos lambda1)
* [misc]taylor:  Taking taylor expansion of (sin lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (sin lambda2) into (sin lambda2)
* [misc]backup-simplify:  Simplify (cos lambda2) into (cos lambda2)
* [misc]taylor:  Taking taylor expansion of (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) in phi1
* [misc]taylor:  Taking taylor expansion of (* (cos phi1) (cos phi2)) in phi1
* [misc]taylor:  Taking taylor expansion of (cos phi1) in phi1
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos phi2) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (cos phi2) into (cos phi2)
* [misc]backup-simplify:  Simplify (sin phi2) into (sin phi2)
* [misc]taylor:  Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in phi1
* [misc]taylor:  Taking taylor expansion of (sin lambda1) in phi1
* [misc]taylor:  Taking taylor expansion of lambda1 in phi1
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (sin lambda1) into (sin lambda1)
* [misc]backup-simplify:  Simplify (cos lambda1) into (cos lambda1)
* [misc]taylor:  Taking taylor expansion of (sin lambda2) in phi1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (sin lambda2) into (sin lambda2)
* [misc]backup-simplify:  Simplify (cos lambda2) into (cos lambda2)
* [misc]taylor:  Taking taylor expansion of (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) in phi1
* [misc]taylor:  Taking taylor expansion of (* (cos phi1) (cos phi2)) in phi1
* [misc]taylor:  Taking taylor expansion of (cos phi1) in phi1
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos phi2) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (cos phi2) into (cos phi2)
* [misc]backup-simplify:  Simplify (sin phi2) into (sin phi2)
* [misc]taylor:  Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in phi1
* [misc]taylor:  Taking taylor expansion of (sin lambda1) in phi1
* [misc]taylor:  Taking taylor expansion of lambda1 in phi1
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (sin lambda1) into (sin lambda1)
* [misc]backup-simplify:  Simplify (cos lambda1) into (cos lambda1)
* [misc]taylor:  Taking taylor expansion of (sin lambda2) in phi1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (sin lambda2) into (sin lambda2)
* [misc]backup-simplify:  Simplify (cos lambda2) into (cos lambda2)
* [misc]backup-simplify:  Simplify (* (cos phi2) 1) into (cos phi2)
* [misc]backup-simplify:  Simplify (* (sin phi2) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos phi2) 0) into (cos phi2)
* [misc]backup-simplify:  Simplify (* 1 (cos phi2)) into (cos phi2)
* [misc]backup-simplify:  Simplify (* (sin lambda1) 1) into (sin lambda1)
* [misc]backup-simplify:  Simplify (* (cos lambda1) 0) into 0
* [misc]backup-simplify:  Simplify (+ (sin lambda1) 0) into (sin lambda1)
* [misc]backup-simplify:  Simplify (* (sin lambda2) 1) into (sin lambda2)
* [misc]backup-simplify:  Simplify (* (cos lambda2) 0) into 0
* [misc]backup-simplify:  Simplify (+ (sin lambda2) 0) into (sin lambda2)
* [misc]backup-simplify:  Simplify (* (sin lambda1) (sin lambda2)) into (* (sin lambda1) (sin lambda2))
* [misc]backup-simplify:  Simplify (* (cos phi2) (* (sin lambda1) (sin lambda2))) into (* (cos phi2) (* (sin lambda1) (sin lambda2)))
* [misc]taylor:  Taking taylor expansion of (* (cos phi2) (* (sin lambda1) (sin lambda2))) in phi2
* [misc]taylor:  Taking taylor expansion of (cos phi2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in phi2
* [misc]taylor:  Taking taylor expansion of (sin lambda1) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (sin lambda1) into (sin lambda1)
* [misc]backup-simplify:  Simplify (cos lambda1) into (cos lambda1)
* [misc]taylor:  Taking taylor expansion of (sin lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (sin lambda2) into (sin lambda2)
* [misc]backup-simplify:  Simplify (cos lambda2) into (cos lambda2)
* [misc]backup-simplify:  Simplify (* (sin lambda1) 1) into (sin lambda1)
* [misc]backup-simplify:  Simplify (* (cos lambda1) 0) into 0
* [misc]backup-simplify:  Simplify (+ (sin lambda1) 0) into (sin lambda1)
* [misc]backup-simplify:  Simplify (* (sin lambda2) 1) into (sin lambda2)
* [misc]backup-simplify:  Simplify (* (cos lambda2) 0) into 0
* [misc]backup-simplify:  Simplify (+ (sin lambda2) 0) into (sin lambda2)
* [misc]backup-simplify:  Simplify (* (sin lambda1) (sin lambda2)) into (* (sin lambda1) (sin lambda2))
* [misc]backup-simplify:  Simplify (* 1 (* (sin lambda1) (sin lambda2))) into (* (sin lambda1) (sin lambda2))
* [misc]taylor:  Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (sin lambda1) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sin lambda2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (sin lambda2) into (sin lambda2)
* [misc]backup-simplify:  Simplify (cos lambda2) into (cos lambda2)
* [misc]backup-simplify:  Simplify (* (sin lambda2) 1) into (sin lambda2)
* [misc]backup-simplify:  Simplify (* (cos lambda2) 0) into 0
* [misc]backup-simplify:  Simplify (+ (sin lambda2) 0) into (sin lambda2)
* [misc]backup-simplify:  Simplify (* 0 (sin lambda2)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin lambda2) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos lambda2) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin lambda1) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos lambda1) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin lambda1) 0) (* 0 (sin lambda2))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos phi2) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin phi2) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 (cos phi2))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos phi2) 0) (* 0 (* (sin lambda1) (sin lambda2)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin lambda2) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos lambda2) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin lambda1) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos lambda1) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin lambda1) 0) (* 0 (sin lambda2))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 (* (sin lambda1) (sin lambda2)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin lambda2) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos lambda2) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (sin lambda2))) into (sin lambda2)
* [misc]taylor:  Taking taylor expansion of (sin lambda2) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin lambda1) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos lambda1) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin lambda1) 0) (+ (* 0 0) (* 0 (sin lambda2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2)
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* (- 1/2) (cos phi2)))) into (- (* 1/2 (cos phi2)))
* [misc]backup-simplify:  Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (* (- (* 1/2 (cos phi2))) (* (sin lambda1) (sin lambda2))))) into (- (* 1/2 (* (cos phi2) (* (sin lambda1) (sin lambda2)))))
* [misc]taylor:  Taking taylor expansion of (- (* 1/2 (* (cos phi2) (* (sin lambda1) (sin lambda2))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (cos phi2) (* (sin lambda1) (sin lambda2)))) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* (cos phi2) (* (sin lambda1) (sin lambda2))) in phi2
* [misc]taylor:  Taking taylor expansion of (cos phi2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in phi2
* [misc]taylor:  Taking taylor expansion of (sin lambda1) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (sin lambda1) into (sin lambda1)
* [misc]backup-simplify:  Simplify (cos lambda1) into (cos lambda1)
* [misc]taylor:  Taking taylor expansion of (sin lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (sin lambda2) into (sin lambda2)
* [misc]backup-simplify:  Simplify (cos lambda2) into (cos lambda2)
* [misc]backup-simplify:  Simplify (* (sin lambda1) 1) into (sin lambda1)
* [misc]backup-simplify:  Simplify (* (cos lambda1) 0) into 0
* [misc]backup-simplify:  Simplify (+ (sin lambda1) 0) into (sin lambda1)
* [misc]backup-simplify:  Simplify (* (sin lambda2) 1) into (sin lambda2)
* [misc]backup-simplify:  Simplify (* (cos lambda2) 0) into 0
* [misc]backup-simplify:  Simplify (+ (sin lambda2) 0) into (sin lambda2)
* [misc]backup-simplify:  Simplify (* (sin lambda1) (sin lambda2)) into (* (sin lambda1) (sin lambda2))
* [misc]backup-simplify:  Simplify (* 1 (* (sin lambda1) (sin lambda2))) into (* (sin lambda1) (sin lambda2))
* [misc]backup-simplify:  Simplify (* 1/2 (* (sin lambda1) (sin lambda2))) into (* 1/2 (* (sin lambda1) (sin lambda2)))
* [misc]backup-simplify:  Simplify (- (* 1/2 (* (sin lambda1) (sin lambda2)))) into (- (* 1/2 (* (sin lambda1) (sin lambda2))))
* [misc]taylor:  Taking taylor expansion of (- (* 1/2 (* (sin lambda1) (sin lambda2)))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (sin lambda1) (sin lambda2))) in lambda1
* [misc]taylor:  Taking taylor expansion of 1/2 in lambda1
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (sin lambda1) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sin lambda2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (sin lambda2) into (sin lambda2)
* [misc]backup-simplify:  Simplify (cos lambda2) into (cos lambda2)
* [misc]backup-simplify:  Simplify (* (sin lambda2) 1) into (sin lambda2)
* [misc]backup-simplify:  Simplify (* (cos lambda2) 0) into 0
* [misc]backup-simplify:  Simplify (+ (sin lambda2) 0) into (sin lambda2)
* [misc]backup-simplify:  Simplify (* 0 (sin lambda2)) into 0
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]approximate:  Taking taylor expansion of (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) in (phi1 phi2 lambda1 lambda2) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) in lambda2
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 phi1)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in lambda2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]backup-simplify:  Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1))
* [misc]backup-simplify:  Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1))
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 phi2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in lambda2
* [misc]taylor:  Taking taylor expansion of phi2 in lambda2
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]backup-simplify:  Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2))
* [misc]backup-simplify:  Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2))
* [misc]taylor:  Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2
* [misc]taylor:  Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda1) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (/ 1 lambda1) into (/ 1 lambda1)
* [misc]backup-simplify:  Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1))
* [misc]backup-simplify:  Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1))
* [misc]taylor:  Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda2) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2))
* [misc]taylor:  Taking taylor expansion of (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 phi1)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in lambda1
* [misc]taylor:  Taking taylor expansion of phi1 in lambda1
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]backup-simplify:  Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1))
* [misc]backup-simplify:  Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1))
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 phi2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in lambda1
* [misc]taylor:  Taking taylor expansion of phi2 in lambda1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]backup-simplify:  Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2))
* [misc]backup-simplify:  Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2))
* [misc]taylor:  Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda1) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1))
* [misc]taylor:  Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (/ 1 lambda2) into (/ 1 lambda2)
* [misc]backup-simplify:  Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2))
* [misc]taylor:  Taking taylor expansion of (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 phi1)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]backup-simplify:  Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1))
* [misc]backup-simplify:  Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1))
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2))
* [misc]taylor:  Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in phi2
* [misc]taylor:  Taking taylor expansion of (sin (/ 1 lambda1)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda1) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (/ 1 lambda1) into (/ 1 lambda1)
* [misc]backup-simplify:  Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1))
* [misc]backup-simplify:  Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1))
* [misc]taylor:  Taking taylor expansion of (sin (/ 1 lambda2)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (/ 1 lambda2) into (/ 1 lambda2)
* [misc]backup-simplify:  Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2))
* [misc]taylor:  Taking taylor expansion of (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) in phi1
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) in phi1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 phi1)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in phi1
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1))
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 phi2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]backup-simplify:  Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2))
* [misc]backup-simplify:  Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2))
* [misc]taylor:  Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in phi1
* [misc]taylor:  Taking taylor expansion of (sin (/ 1 lambda1)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda1) in phi1
* [misc]taylor:  Taking taylor expansion of lambda1 in phi1
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (/ 1 lambda1) into (/ 1 lambda1)
* [misc]backup-simplify:  Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1))
* [misc]backup-simplify:  Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1))
* [misc]taylor:  Taking taylor expansion of (sin (/ 1 lambda2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda2) in phi1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (/ 1 lambda2) into (/ 1 lambda2)
* [misc]backup-simplify:  Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2))
* [misc]taylor:  Taking taylor expansion of (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) in phi1
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) in phi1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 phi1)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in phi1
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1))
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 phi2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]backup-simplify:  Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2))
* [misc]backup-simplify:  Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2))
* [misc]taylor:  Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in phi1
* [misc]taylor:  Taking taylor expansion of (sin (/ 1 lambda1)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda1) in phi1
* [misc]taylor:  Taking taylor expansion of lambda1 in phi1
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (/ 1 lambda1) into (/ 1 lambda1)
* [misc]backup-simplify:  Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1))
* [misc]backup-simplify:  Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1))
* [misc]taylor:  Taking taylor expansion of (sin (/ 1 lambda2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda2) in phi1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (/ 1 lambda2) into (/ 1 lambda2)
* [misc]backup-simplify:  Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 phi2)) 1) into (cos (/ 1 phi2))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 phi2)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1 phi2)) 0) into (cos (/ 1 phi2))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) into (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 lambda1)) 1) into (sin (/ 1 lambda1))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 lambda1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (sin (/ 1 lambda1)) 0) into (sin (/ 1 lambda1))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 lambda2)) 1) into (sin (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 lambda2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (sin (/ 1 lambda2)) 0) into (sin (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))
* [misc]backup-simplify:  Simplify (* (* (cos (/ 1 phi2)) (cos (/ 1 phi1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))) into (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1)))))
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2))
* [misc]taylor:  Taking taylor expansion of (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1)))) in phi2
* [misc]taylor:  Taking taylor expansion of (sin (/ 1 lambda2)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (/ 1 lambda2) into (/ 1 lambda2)
* [misc]backup-simplify:  Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2))
* [misc]taylor:  Taking taylor expansion of (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))) in phi2
* [misc]taylor:  Taking taylor expansion of (sin (/ 1 lambda1)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda1) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (/ 1 lambda1) into (/ 1 lambda1)
* [misc]backup-simplify:  Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1))
* [misc]backup-simplify:  Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1))
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 phi1)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]backup-simplify:  Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1))
* [misc]backup-simplify:  Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 lambda2)) 1) into (sin (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 lambda2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (sin (/ 1 lambda2)) 0) into (sin (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 lambda1)) 1) into (sin (/ 1 lambda1))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 lambda1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (sin (/ 1 lambda1)) 0) into (sin (/ 1 lambda1))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 phi1)) 1) into (cos (/ 1 phi1))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 phi1)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1 phi1)) 0) into (cos (/ 1 phi1))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))) into (* (sin (/ 1 lambda1)) (cos (/ 1 phi1)))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1)))) into (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) into (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1)))))
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 phi2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in lambda1
* [misc]taylor:  Taking taylor expansion of phi2 in lambda1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]backup-simplify:  Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2))
* [misc]backup-simplify:  Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2))
* [misc]taylor:  Taking taylor expansion of (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1)))) in lambda1
* [misc]taylor:  Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (/ 1 lambda2) into (/ 1 lambda2)
* [misc]backup-simplify:  Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2))
* [misc]taylor:  Taking taylor expansion of (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))) in lambda1
* [misc]taylor:  Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda1) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1))
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 phi1)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in lambda1
* [misc]taylor:  Taking taylor expansion of phi1 in lambda1
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]backup-simplify:  Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1))
* [misc]backup-simplify:  Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 phi2)) 1) into (cos (/ 1 phi2))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 phi2)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1 phi2)) 0) into (cos (/ 1 phi2))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 lambda2)) 1) into (sin (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 lambda2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (sin (/ 1 lambda2)) 0) into (sin (/ 1 lambda2))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 phi1)) 1) into (cos (/ 1 phi1))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 phi1)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1 phi1)) 0) into (cos (/ 1 phi1))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))) into (* (sin (/ 1 lambda1)) (cos (/ 1 phi1)))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1)))) into (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) into (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1)))))
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) in lambda2
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 phi2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 phi2) in lambda2
* [misc]taylor:  Taking taylor expansion of phi2 in lambda2
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ 1 phi2) into (/ 1 phi2)
* [misc]backup-simplify:  Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2))
* [misc]backup-simplify:  Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2))
* [misc]taylor:  Taking taylor expansion of (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1)))) in lambda2
* [misc]taylor:  Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda2) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2))
* [misc]taylor:  Taking taylor expansion of (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))) in lambda2
* [misc]taylor:  Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 lambda1) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (/ 1 lambda1) into (/ 1 lambda1)
* [misc]backup-simplify:  Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1))
* [misc]backup-simplify:  Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1))
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 phi1)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 phi1) in lambda2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ 1 phi1) into (/ 1 phi1)
* [misc]backup-simplify:  Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1))
* [misc]backup-simplify:  Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 phi2)) 1) into (cos (/ 1 phi2))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 phi2)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1 phi2)) 0) into (cos (/ 1 phi2))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 lambda1)) 1) into (sin (/ 1 lambda1))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 lambda1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (sin (/ 1 lambda1)) 0) into (sin (/ 1 lambda1))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 phi1)) 1) into (cos (/ 1 phi1))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 phi1)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1 phi1)) 0) into (cos (/ 1 phi1))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))) into (* (sin (/ 1 lambda1)) (cos (/ 1 phi1)))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1)))) into (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) into (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1)))))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) into (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1)))))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 lambda2)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 lambda1)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 (sin (/ 1 lambda2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 phi1)) 0) (* 0 (cos (/ 1 phi2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* (cos (/ 1 phi2)) (cos (/ 1 phi1))) 0) (* 0 (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 phi1)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 lambda1)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 (cos (/ 1 phi1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 lambda2)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 phi1)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 (cos (/ 1 phi1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 lambda2)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 phi1)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 lambda1)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 (cos (/ 1 phi1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 phi1)) 0) (+ (* 0 0) (* 0 (cos (/ 1 phi2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* (cos (/ 1 phi2)) (cos (/ 1 phi1))) 0) (+ (* 0 0) (* 0 (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (cos (/ 1 (/ 1 phi2))) (* (sin (/ 1 (/ 1 lambda2))) (* (sin (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1)))))) into (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1))))
* [misc]approximate:  Taking taylor expansion of (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) in (phi1 phi2 lambda1 lambda2) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) in lambda2
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- phi1))) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi1)) in lambda2
* [misc]taylor:  Taking taylor expansion of (- phi1) in lambda2
* [misc]taylor:  Taking taylor expansion of phi1 in lambda2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (/ 1 (- phi1)) into (/ -1 phi1)
* [misc]backup-simplify:  Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1))
* [misc]backup-simplify:  Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1))
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- phi2))) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (- phi2) in lambda2
* [misc]taylor:  Taking taylor expansion of phi2 in lambda2
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (/ 1 (- phi2)) into (/ -1 phi2)
* [misc]backup-simplify:  Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2))
* [misc]backup-simplify:  Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2))
* [misc]taylor:  Taking taylor expansion of (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) in lambda2
* [misc]taylor:  Taking taylor expansion of (sin (/ 1 (- lambda1))) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda1)) in lambda2
* [misc]taylor:  Taking taylor expansion of (- lambda1) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda1)) into (/ -1 lambda1)
* [misc]backup-simplify:  Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1))
* [misc]backup-simplify:  Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1))
* [misc]taylor:  Taking taylor expansion of (sin (/ 1 (- lambda2))) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (- lambda2) in lambda2
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (sin (/ 1 (- lambda2))) into (sin (/ -1 lambda2))
* [misc]taylor:  Taking taylor expansion of (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) in lambda1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- phi1))) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi1)) in lambda1
* [misc]taylor:  Taking taylor expansion of (- phi1) in lambda1
* [misc]taylor:  Taking taylor expansion of phi1 in lambda1
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (/ 1 (- phi1)) into (/ -1 phi1)
* [misc]backup-simplify:  Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1))
* [misc]backup-simplify:  Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1))
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- phi2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (- phi2) in lambda1
* [misc]taylor:  Taking taylor expansion of phi2 in lambda1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (/ 1 (- phi2)) into (/ -1 phi2)
* [misc]backup-simplify:  Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2))
* [misc]backup-simplify:  Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2))
* [misc]taylor:  Taking taylor expansion of (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) in lambda1
* [misc]taylor:  Taking taylor expansion of (sin (/ 1 (- lambda1))) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda1)) in lambda1
* [misc]taylor:  Taking taylor expansion of (- lambda1) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (sin (/ 1 (- lambda1))) into (sin (/ -1 lambda1))
* [misc]taylor:  Taking taylor expansion of (sin (/ 1 (- lambda2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (- lambda2) in lambda1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda2)) into (/ -1 lambda2)
* [misc]backup-simplify:  Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2))
* [misc]backup-simplify:  Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2))
* [misc]taylor:  Taking taylor expansion of (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- phi1))) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi1)) in phi2
* [misc]taylor:  Taking taylor expansion of (- phi1) in phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (/ 1 (- phi1)) into (/ -1 phi1)
* [misc]backup-simplify:  Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1))
* [misc]backup-simplify:  Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1))
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- phi2))) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (- phi2) in phi2
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (cos (/ 1 (- phi2))) into (cos (/ -1 phi2))
* [misc]taylor:  Taking taylor expansion of (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (sin (/ 1 (- lambda1))) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda1)) in phi2
* [misc]taylor:  Taking taylor expansion of (- lambda1) in phi2
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda1)) into (/ -1 lambda1)
* [misc]backup-simplify:  Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1))
* [misc]backup-simplify:  Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1))
* [misc]taylor:  Taking taylor expansion of (sin (/ 1 (- lambda2))) in phi2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda2)) in phi2
* [misc]taylor:  Taking taylor expansion of (- lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda2)) into (/ -1 lambda2)
* [misc]backup-simplify:  Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2))
* [misc]backup-simplify:  Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2))
* [misc]taylor:  Taking taylor expansion of (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) in phi1
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) in phi1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- phi1))) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi1)) in phi1
* [misc]taylor:  Taking taylor expansion of (- phi1) in phi1
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (cos (/ 1 (- phi1))) into (cos (/ -1 phi1))
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- phi2))) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi2)) in phi1
* [misc]taylor:  Taking taylor expansion of (- phi2) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (/ 1 (- phi2)) into (/ -1 phi2)
* [misc]backup-simplify:  Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2))
* [misc]backup-simplify:  Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2))
* [misc]taylor:  Taking taylor expansion of (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) in phi1
* [misc]taylor:  Taking taylor expansion of (sin (/ 1 (- lambda1))) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda1)) in phi1
* [misc]taylor:  Taking taylor expansion of (- lambda1) in phi1
* [misc]taylor:  Taking taylor expansion of lambda1 in phi1
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda1)) into (/ -1 lambda1)
* [misc]backup-simplify:  Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1))
* [misc]backup-simplify:  Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1))
* [misc]taylor:  Taking taylor expansion of (sin (/ 1 (- lambda2))) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda2)) in phi1
* [misc]taylor:  Taking taylor expansion of (- lambda2) in phi1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda2)) into (/ -1 lambda2)
* [misc]backup-simplify:  Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2))
* [misc]backup-simplify:  Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2))
* [misc]taylor:  Taking taylor expansion of (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) in phi1
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) in phi1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- phi1))) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi1)) in phi1
* [misc]taylor:  Taking taylor expansion of (- phi1) in phi1
* [misc]taylor:  Taking taylor expansion of phi1 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (cos (/ 1 (- phi1))) into (cos (/ -1 phi1))
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- phi2))) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- phi2)) in phi1
* [misc]taylor:  Taking taylor expansion of (- phi2) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (/ 1 (- phi2)) into (/ -1 phi2)
* [misc]backup-simplify:  Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2))
* [misc]backup-simplify:  Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2))
* [misc]taylor:  Taking taylor expansion of (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) in phi1
* [misc]taylor:  Taking taylor expansion of (sin (/ 1 (- lambda1))) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda1)) in phi1
* [misc]taylor:  Taking taylor expansion of (- lambda1) in phi1
* [misc]taylor:  Taking taylor expansion of lambda1 in phi1
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda1)) into (/ -1 lambda1)
* [misc]backup-simplify:  Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1))
* [misc]backup-simplify:  Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1))
* [misc]taylor:  Taking taylor expansion of (sin (/ 1 (- lambda2))) in phi1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- lambda2)) in phi1
* [misc]taylor:  Taking taylor expansion of (- lambda2) in phi1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (/ 1 (- lambda2)) into (/ -1 lambda2)
* [misc]backup-simplify:  Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2))
* [misc]backup-simplify:  Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2))
* [misc]backup-simplify:  Simplify (* (cos (/ -1 phi2)) 1) into (cos (/ -1 phi2))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 phi2)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1 phi2)) 0) into (cos (/ -1 phi2))
* [misc]backup-simplify:  Simplify (* (cos (/ -1 phi1)) (cos (/ -1 phi2))) into (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 lambda1)) 1) into (sin (/ -1 lambda1))
* [misc]backup-simplify:  Simplify (* (cos (/ -1 lambda1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (sin (/ -1 lambda1)) 0) into (sin (/ -1 lambda1))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 lambda2)) 1) into (sin (/ -1 lambda2))
* [misc]backup-simplify:  Simplify (* (cos (/ -1 lambda2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (sin (/ -1 lambda2)) 0) into (sin (/ -1 lambda2))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))
* [misc]backup-simplify:  Simplify (* (* (cos (/ -1 phi1)) (cos (/ -1 phi2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))) into (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ -1 lambda2)) (cos (/ -1 phi2)))))
* [misc]taylor:  Taking taylor expansion of (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ -1 lambda2)) (cos (/ -1 phi2))))) in phi2
* [misc]taylor:  Taking taylor expansion of (cos (/ -1 phi1)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ -1 phi1) in phi2
* [misc]taylor:  Taking taylor expansion of -1 in phi2
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ -1 phi1) into (/ -1 phi1)
* [misc]backup-simplify:  Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1))
* [misc]backup-simplify:  Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1))
* [misc]taylor:  Taking taylor expansion of (* (sin (/ -1 lambda1)) (* (sin (/ -1 lambda2)) (cos (/ -1 phi2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (sin (/ -1 lambda1)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ -1 lambda1) in phi2
* [misc]taylor:  Taking taylor expansion of -1 in phi2
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of lambda1 in phi2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (/ -1 lambda1) into (/ -1 lambda1)
* [misc]backup-simplify:  Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1))
* [misc]backup-simplify:  Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1))
* [misc]taylor:  Taking taylor expansion of (* (sin (/ -1 lambda2)) (cos (/ -1 phi2))) in phi2
* [misc]taylor:  Taking taylor expansion of (sin (/ -1 lambda2)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ -1 lambda2) in phi2
* [misc]taylor:  Taking taylor expansion of -1 in phi2
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of lambda2 in phi2
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (/ -1 lambda2) into (/ -1 lambda2)
* [misc]backup-simplify:  Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2))
* [misc]backup-simplify:  Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2))
* [misc]taylor:  Taking taylor expansion of (cos (/ -1 phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (/ -1 phi2) in phi2
* [misc]taylor:  Taking taylor expansion of -1 in phi2
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of phi2 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ -1 1) into -1
* [misc]backup-simplify:  Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2))
* [misc]backup-simplify:  Simplify (* (cos (/ -1 phi1)) 1) into (cos (/ -1 phi1))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 phi1)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1 phi1)) 0) into (cos (/ -1 phi1))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 lambda1)) 1) into (sin (/ -1 lambda1))
* [misc]backup-simplify:  Simplify (* (cos (/ -1 lambda1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (sin (/ -1 lambda1)) 0) into (sin (/ -1 lambda1))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 lambda2)) 1) into (sin (/ -1 lambda2))
* [misc]backup-simplify:  Simplify (* (cos (/ -1 lambda2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (sin (/ -1 lambda2)) 0) into (sin (/ -1 lambda2))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 lambda2)) (cos (/ -1 phi2))) into (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))) into (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))
* [misc]backup-simplify:  Simplify (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) into (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ -1 lambda2)) (cos (/ -1 phi2)))))
* [misc]taylor:  Taking taylor expansion of (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ -1 lambda2)) (cos (/ -1 phi2))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (cos (/ -1 phi1)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ -1 phi1) in lambda1
* [misc]taylor:  Taking taylor expansion of -1 in lambda1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of phi1 in lambda1
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ -1 phi1) into (/ -1 phi1)
* [misc]backup-simplify:  Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1))
* [misc]backup-simplify:  Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1))
* [misc]taylor:  Taking taylor expansion of (* (sin (/ -1 lambda1)) (* (sin (/ -1 lambda2)) (cos (/ -1 phi2)))) in lambda1
* [misc]taylor:  Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ -1 lambda1) in lambda1
* [misc]taylor:  Taking taylor expansion of -1 in lambda1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ -1 1) into -1
* [misc]backup-simplify:  Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1))
* [misc]taylor:  Taking taylor expansion of (* (sin (/ -1 lambda2)) (cos (/ -1 phi2))) in lambda1
* [misc]taylor:  Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ -1 lambda2) in lambda1
* [misc]taylor:  Taking taylor expansion of -1 in lambda1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda1
* [misc]backup-simplify:  Simplify lambda2 into lambda2
* [misc]backup-simplify:  Simplify (/ -1 lambda2) into (/ -1 lambda2)
* [misc]backup-simplify:  Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2))
* [misc]backup-simplify:  Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2))
* [misc]taylor:  Taking taylor expansion of (cos (/ -1 phi2)) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ -1 phi2) in lambda1
* [misc]taylor:  Taking taylor expansion of -1 in lambda1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of phi2 in lambda1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ -1 phi2) into (/ -1 phi2)
* [misc]backup-simplify:  Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2))
* [misc]backup-simplify:  Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2))
* [misc]backup-simplify:  Simplify (* (cos (/ -1 phi1)) 1) into (cos (/ -1 phi1))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 phi1)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1 phi1)) 0) into (cos (/ -1 phi1))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 lambda2)) 1) into (sin (/ -1 lambda2))
* [misc]backup-simplify:  Simplify (* (cos (/ -1 lambda2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (sin (/ -1 lambda2)) 0) into (sin (/ -1 lambda2))
* [misc]backup-simplify:  Simplify (* (cos (/ -1 phi2)) 1) into (cos (/ -1 phi2))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 phi2)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1 phi2)) 0) into (cos (/ -1 phi2))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 lambda2)) (cos (/ -1 phi2))) into (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))) into (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))
* [misc]backup-simplify:  Simplify (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) into (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ -1 lambda2)) (cos (/ -1 phi2)))))
* [misc]taylor:  Taking taylor expansion of (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ -1 lambda2)) (cos (/ -1 phi2))))) in lambda2
* [misc]taylor:  Taking taylor expansion of (cos (/ -1 phi1)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ -1 phi1) in lambda2
* [misc]taylor:  Taking taylor expansion of -1 in lambda2
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of phi1 in lambda2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (/ -1 phi1) into (/ -1 phi1)
* [misc]backup-simplify:  Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1))
* [misc]backup-simplify:  Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1))
* [misc]taylor:  Taking taylor expansion of (* (sin (/ -1 lambda1)) (* (sin (/ -1 lambda2)) (cos (/ -1 phi2)))) in lambda2
* [misc]taylor:  Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ -1 lambda1) in lambda2
* [misc]taylor:  Taking taylor expansion of -1 in lambda2
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of lambda1 in lambda2
* [misc]backup-simplify:  Simplify lambda1 into lambda1
* [misc]backup-simplify:  Simplify (/ -1 lambda1) into (/ -1 lambda1)
* [misc]backup-simplify:  Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1))
* [misc]backup-simplify:  Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1))
* [misc]taylor:  Taking taylor expansion of (* (sin (/ -1 lambda2)) (cos (/ -1 phi2))) in lambda2
* [misc]taylor:  Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ -1 lambda2) in lambda2
* [misc]taylor:  Taking taylor expansion of -1 in lambda2
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of lambda2 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ -1 1) into -1
* [misc]backup-simplify:  Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2))
* [misc]taylor:  Taking taylor expansion of (cos (/ -1 phi2)) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ -1 phi2) in lambda2
* [misc]taylor:  Taking taylor expansion of -1 in lambda2
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of phi2 in lambda2
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (/ -1 phi2) into (/ -1 phi2)
* [misc]backup-simplify:  Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2))
* [misc]backup-simplify:  Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2))
* [misc]backup-simplify:  Simplify (* (cos (/ -1 phi1)) 1) into (cos (/ -1 phi1))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 phi1)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1 phi1)) 0) into (cos (/ -1 phi1))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 lambda1)) 1) into (sin (/ -1 lambda1))
* [misc]backup-simplify:  Simplify (* (cos (/ -1 lambda1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (sin (/ -1 lambda1)) 0) into (sin (/ -1 lambda1))
* [misc]backup-simplify:  Simplify (* (cos (/ -1 phi2)) 1) into (cos (/ -1 phi2))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 phi2)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1 phi2)) 0) into (cos (/ -1 phi2))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 lambda2)) (cos (/ -1 phi2))) into (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))) into (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))
* [misc]backup-simplify:  Simplify (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) into (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ -1 lambda2)) (cos (/ -1 phi2)))))
* [misc]backup-simplify:  Simplify (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ -1 lambda2)) (cos (/ -1 phi2))))) into (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 lambda2)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 lambda2) (/ 0 (- lambda2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 lambda2)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 lambda1) (/ 0 (- lambda1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 lambda1)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (sin (/ -1 lambda2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 phi2) (/ 0 (- phi2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 phi2)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 (cos (/ -1 phi2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* (cos (/ -1 phi1)) (cos (/ -1 phi2))) 0) (* 0 (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 lambda2)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 lambda2)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 lambda2)) 0) (* 0 (cos (/ -1 phi2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 lambda1)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 phi2)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 lambda2)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 lambda2)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 lambda2)) 0) (* 0 (cos (/ -1 phi2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 phi2)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 lambda2)) 0) (* 0 (cos (/ -1 phi2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 lambda1)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- lambda2) into (- lambda2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 lambda2) (/ 0 (- lambda2))) (* 0 (/ 0 (- lambda2))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- lambda1) into (- lambda1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 lambda1) (/ 0 (- lambda1))) (* 0 (/ 0 (- lambda1))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 phi2) (/ 0 (- phi2))) (* 0 (/ 0 (- phi2))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (cos (/ -1 phi2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* (cos (/ -1 phi1)) (cos (/ -1 phi2))) 0) (+ (* 0 0) (* 0 (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (cos (/ -1 (/ 1 (- phi1)))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (sin (/ -1 (/ 1 (- lambda2))))))) into (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))
* * * * [misc]progress:  [ 4 / 4 ] generating series at (2)
* [misc]approximate:  Taking taylor expansion of (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0
* [misc]taylor:  Taking taylor expansion of (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) R) in R
* [misc]taylor:  Taking taylor expansion of (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) in R
* [misc]taylor:  Taking taylor expansion of (/ PI 2) in R
* [misc]taylor:  Taking taylor expansion of PI in R
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in R
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ PI 2) into (* 1/2 PI)
* [misc]taylor:  Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) in R
* [misc]backup-simplify:  Simplify (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
* [misc]taylor:  Taking taylor expansion of R in R
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) R) in lambda2
* [misc]taylor:  Taking taylor expansion of (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ PI 2) in lambda2
* [misc]taylor:  Taking taylor expansion of PI in lambda2
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in lambda2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ PI 2) into (* 1/2 PI)
* [misc]taylor:  Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) in lambda2
* [misc]backup-simplify:  Simplify (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
* [misc]taylor:  Taking taylor expansion of R in lambda2
* [misc]backup-simplify:  Simplify R into R
* [misc]taylor:  Taking taylor expansion of (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) R) in lambda1
* [misc]taylor:  Taking taylor expansion of (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ PI 2) in lambda1
* [misc]taylor:  Taking taylor expansion of PI in lambda1
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in lambda1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ PI 2) into (* 1/2 PI)
* [misc]taylor:  Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) in lambda1
* [misc]backup-simplify:  Simplify (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
* [misc]taylor:  Taking taylor expansion of R in lambda1
* [misc]backup-simplify:  Simplify R into R
* [misc]taylor:  Taking taylor expansion of (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) R) in phi2
* [misc]taylor:  Taking taylor expansion of (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (/ PI 2) in phi2
* [misc]taylor:  Taking taylor expansion of PI in phi2
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ PI 2) into (* 1/2 PI)
* [misc]taylor:  Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) in phi2
* [misc]backup-simplify:  Simplify (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
* [misc]taylor:  Taking taylor expansion of R in phi2
* [misc]backup-simplify:  Simplify R into R
* [misc]taylor:  Taking taylor expansion of (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) R) in phi1
* [misc]taylor:  Taking taylor expansion of (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) in phi1
* [misc]taylor:  Taking taylor expansion of (/ PI 2) in phi1
* [misc]taylor:  Taking taylor expansion of PI in phi1
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in phi1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ PI 2) into (* 1/2 PI)
* [misc]taylor:  Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) in phi1
* [misc]backup-simplify:  Simplify (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
* [misc]taylor:  Taking taylor expansion of R in phi1
* [misc]backup-simplify:  Simplify R into R
* [misc]taylor:  Taking taylor expansion of (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) R) in phi1
* [misc]taylor:  Taking taylor expansion of (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) in phi1
* [misc]taylor:  Taking taylor expansion of (/ PI 2) in phi1
* [misc]taylor:  Taking taylor expansion of PI in phi1
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in phi1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ PI 2) into (* 1/2 PI)
* [misc]taylor:  Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) in phi1
* [misc]backup-simplify:  Simplify (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
* [misc]taylor:  Taking taylor expansion of R in phi1
* [misc]backup-simplify:  Simplify R into R
* [misc]backup-simplify:  Simplify (- (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) into (- (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))))
* [misc]backup-simplify:  Simplify (+ (* 1/2 PI) (- (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))))) into (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))))
* [misc]backup-simplify:  Simplify (* (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) R) into (* (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) R)
* [misc]taylor:  Taking taylor expansion of (* (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) R) in phi2
* [misc]taylor:  Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/2 PI) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of PI in phi2
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) in phi2
* [misc]backup-simplify:  Simplify (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
* [misc]taylor:  Taking taylor expansion of R in phi2
* [misc]backup-simplify:  Simplify R into R
* [misc]backup-simplify:  Simplify (* 1/2 PI) into (* 1/2 PI)
* [misc]backup-simplify:  Simplify (- (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) into (- (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))))
* [misc]backup-simplify:  Simplify (+ (* 1/2 PI) (- (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))))) into (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))))
* [misc]backup-simplify:  Simplify (* (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) R) into (* (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) R)
* [misc]taylor:  Taking taylor expansion of (* (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) R) in lambda1
* [misc]taylor:  Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* 1/2 PI) in lambda1
* [misc]taylor:  Taking taylor expansion of 1/2 in lambda1
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of PI in lambda1
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1
* [misc]backup-simplify:  Simplify (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
* [misc]taylor:  Taking taylor expansion of R in lambda1
* [misc]backup-simplify:  Simplify R into R
* [misc]backup-simplify:  Simplify (* 1/2 PI) into (* 1/2 PI)
* [misc]backup-simplify:  Simplify (- (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) into (- (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))))
* [misc]backup-simplify:  Simplify (+ (* 1/2 PI) (- (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))))) into (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))))
* [misc]backup-simplify:  Simplify (* (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) R) into (* (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) R)
* [misc]taylor:  Taking taylor expansion of (* (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) R) in lambda2
* [misc]taylor:  Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* 1/2 PI) in lambda2
* [misc]taylor:  Taking taylor expansion of 1/2 in lambda2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of PI in lambda2
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2
* [misc]backup-simplify:  Simplify (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
* [misc]taylor:  Taking taylor expansion of R in lambda2
* [misc]backup-simplify:  Simplify R into R
* [misc]backup-simplify:  Simplify (* 1/2 PI) into (* 1/2 PI)
* [misc]backup-simplify:  Simplify (- (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) into (- (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))))
* [misc]backup-simplify:  Simplify (+ (* 1/2 PI) (- (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))))) into (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))))
* [misc]backup-simplify:  Simplify (* (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) R) into (* (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) R)
* [misc]taylor:  Taking taylor expansion of (* (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) R) in R
* [misc]taylor:  Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) in R
* [misc]taylor:  Taking taylor expansion of (* 1/2 PI) in R
* [misc]taylor:  Taking taylor expansion of 1/2 in R
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of PI in R
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) in R
* [misc]backup-simplify:  Simplify (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
* [misc]taylor:  Taking taylor expansion of R in R
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 PI) into (* 1/2 PI)
* [misc]backup-simplify:  Simplify (- (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) into (- (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))))
* [misc]backup-simplify:  Simplify (+ (* 1/2 PI) (- (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))))) into (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))))
* [misc]backup-simplify:  Simplify (* (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) 0) (* 0 R)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in R
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 PI)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) 0) (* 0 R)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in R
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 PI)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) 0) (* 0 R)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in R
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 PI)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) 0) (* 0 R)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in R
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 PI)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) 1) (* 0 0)) into (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))))
* [misc]backup-simplify:  Simplify (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) into (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))))
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) 0) (+ (* 0 0) (* 0 R))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in R
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in R
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) 0) (+ (* 0 0) (* 0 R))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in R
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in R
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in R
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) 0) (+ (* 0 0) (* 0 R))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in R
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) (* R (* 1 (* 1 (* 1 1))))) into (* (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) R)
* [misc]approximate:  Taking taylor expansion of (* (- (/ PI 2) (asin (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2)))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))))))) (/ 1 R)) in (phi1 phi2 lambda1 lambda2 R) around 0
* [misc]taylor:  Taking taylor expansion of (* (- (/ PI 2) (asin (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2)))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))))))) (/ 1 R)) in R
* [misc]taylor:  Taking taylor expansion of (- (/ PI 2) (asin (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2)))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))))))) in R
* [misc]taylor:  Taking taylor expansion of (/ PI 2) in R
* [misc]taylor:  Taking taylor expansion of PI in R
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in R
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ PI 2) into (* 1/2 PI)
* [misc]taylor:  Taking taylor expansion of (asin (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2)))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))))) in R
* [misc]backup-simplify:  Simplify (asin (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2)))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (sin (/ 1 lambda1)) (sin (/ 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))))))))
* [misc]taylor:  Taking taylor expansion of (/ 1 R) in R
* [misc]taylor:  Taking taylor expansion of R in R
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (- (/ PI 2) (asin (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2)))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))))))) (/ 1 R)) in lambda2
* [misc]taylor:  Taking taylor expansion of (- (/ PI 2) (asin (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2)))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))))))) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ PI 2) in lambda2
* [misc]taylor:  Taking taylor expansion of PI in lambda2
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in lambda2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ PI 2) into (* 1/2 PI)
* [misc]taylor:  Taking taylor expansion of (asin (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2)))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))))) in lambda2
* [misc]backup-simplify:  Simplify (asin (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2)))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (sin (/ 1 lambda1)) (sin (/ 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))))))))
* [misc]taylor:  Taking taylor expansion of (/ 1 R) in lambda2
* [misc]taylor:  Taking taylor expansion of R in lambda2
* [misc]backup-simplify:  Simplify R into R
* [misc]backup-simplify:  Simplify (/ 1 R) into (/ 1 R)
* [misc]taylor:  Taking taylor expansion of (* (- (/ PI 2) (asin (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2)))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))))))) (/ 1 R)) in lambda1
* [misc]taylor:  Taking taylor expansion of (- (/ PI 2) (asin (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2)))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ PI 2) in lambda1
* [misc]taylor:  Taking taylor expansion of PI in lambda1
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in lambda1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ PI 2) into (* 1/2 PI)
* [misc]taylor:  Taking taylor expansion of (asin (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2)))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))))) in lambda1
* [misc]backup-simplify:  Simplify (asin (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2)))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (sin (/ 1 lambda1)) (sin (/ 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))))))))
* [misc]taylor:  Taking taylor expansion of (/ 1 R) in lambda1
* [misc]taylor:  Taking taylor expansion of R in lambda1
* [misc]backup-simplify:  Simplify R into R
* [misc]backup-simplify:  Simplify (/ 1 R) into (/ 1 R)
* [misc]taylor:  Taking taylor expansion of (* (- (/ PI 2) (asin (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2)))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))))))) (/ 1 R)) in phi2
* [misc]taylor:  Taking taylor expansion of (- (/ PI 2) (asin (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2)))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (/ PI 2) in phi2
* [misc]taylor:  Taking taylor expansion of PI in phi2
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ PI 2) into (* 1/2 PI)
* [misc]taylor:  Taking taylor expansion of (asin (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2)))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))))) in phi2
* [misc]backup-simplify:  Simplify (asin (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2)))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (sin (/ 1 lambda1)) (sin (/ 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))))))))
* [misc]taylor:  Taking taylor expansion of (/ 1 R) in phi2
* [misc]taylor:  Taking taylor expansion of R in phi2
* [misc]backup-simplify:  Simplify R into R
* [misc]backup-simplify:  Simplify (/ 1 R) into (/ 1 R)
* [misc]taylor:  Taking taylor expansion of (* (- (/ PI 2) (asin (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2)))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))))))) (/ 1 R)) in phi1
* [misc]taylor:  Taking taylor expansion of (- (/ PI 2) (asin (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2)))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))))))) in phi1
* [misc]taylor:  Taking taylor expansion of (/ PI 2) in phi1
* [misc]taylor:  Taking taylor expansion of PI in phi1
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in phi1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ PI 2) into (* 1/2 PI)
* [misc]taylor:  Taking taylor expansion of (asin (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2)))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))))) in phi1
* [misc]backup-simplify:  Simplify (asin (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2)))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (sin (/ 1 lambda1)) (sin (/ 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))))))))
* [misc]taylor:  Taking taylor expansion of (/ 1 R) in phi1
* [misc]taylor:  Taking taylor expansion of R in phi1
* [misc]backup-simplify:  Simplify R into R
* [misc]backup-simplify:  Simplify (/ 1 R) into (/ 1 R)
* [misc]taylor:  Taking taylor expansion of (* (- (/ PI 2) (asin (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2)))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))))))) (/ 1 R)) in phi1
* [misc]taylor:  Taking taylor expansion of (- (/ PI 2) (asin (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2)))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))))))) in phi1
* [misc]taylor:  Taking taylor expansion of (/ PI 2) in phi1
* [misc]taylor:  Taking taylor expansion of PI in phi1
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in phi1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ PI 2) into (* 1/2 PI)
* [misc]taylor:  Taking taylor expansion of (asin (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2)))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))))) in phi1
* [misc]backup-simplify:  Simplify (asin (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2)))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (* (sin (/ 1 lambda1)) (sin (/ 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))))))))
* [misc]taylor:  Taking taylor expansion of (/ 1 R) in phi1
* [misc]taylor:  Taking taylor expansion of R in phi1
* [misc]backup-simplify:  Simplify R into R
* [misc]backup-simplify:  Simplify (/ 1 R) into (/ 1 R)
* [misc]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)))))))))
* [misc]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)))))))))
* [misc]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 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)
* [misc]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
* [misc]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
* [misc]taylor:  Taking taylor expansion of (* 1/2 PI) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of PI in phi2
* [misc]backup-simplify:  Simplify PI into PI
* [misc]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
* [misc]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))))))))
* [misc]taylor:  Taking taylor expansion of R in phi2
* [misc]backup-simplify:  Simplify R into R
* [misc]backup-simplify:  Simplify (* 1/2 PI) into (* 1/2 PI)
* [misc]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)))))))))
* [misc]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)))))))))
* [misc]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)
* [misc]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
* [misc]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
* [misc]taylor:  Taking taylor expansion of (* 1/2 PI) in lambda1
* [misc]taylor:  Taking taylor expansion of 1/2 in lambda1
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of PI in lambda1
* [misc]backup-simplify:  Simplify PI into PI
* [misc]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
* [misc]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))))))))
* [misc]taylor:  Taking taylor expansion of R in lambda1
* [misc]backup-simplify:  Simplify R into R
* [misc]backup-simplify:  Simplify (* 1/2 PI) into (* 1/2 PI)
* [misc]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)))))))))
* [misc]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)))))))))
* [misc]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)
* [misc]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
* [misc]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
* [misc]taylor:  Taking taylor expansion of (* 1/2 PI) in lambda2
* [misc]taylor:  Taking taylor expansion of 1/2 in lambda2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of PI in lambda2
* [misc]backup-simplify:  Simplify PI into PI
* [misc]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
* [misc]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))))))))
* [misc]taylor:  Taking taylor expansion of R in lambda2
* [misc]backup-simplify:  Simplify R into R
* [misc]backup-simplify:  Simplify (* 1/2 PI) into (* 1/2 PI)
* [misc]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)))))))))
* [misc]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)))))))))
* [misc]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)
* [misc]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
* [misc]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
* [misc]taylor:  Taking taylor expansion of (* 1/2 PI) in R
* [misc]taylor:  Taking taylor expansion of 1/2 in R
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of PI in R
* [misc]backup-simplify:  Simplify PI into PI
* [misc]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
* [misc]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))))))))
* [misc]taylor:  Taking taylor expansion of R in R
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 PI) into (* 1/2 PI)
* [misc]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)))))))))
* [misc]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)))))))))
* [misc]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)))))))))
* [misc]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)))))))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 R) (/ 0 R)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]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))))))))) 0) (* 0 (/ 1 R))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in R
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 PI)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]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
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in R
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 PI)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]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
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in R
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 PI)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]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
* [misc]taylor:  Taking taylor expansion of 0 in R
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 PI)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]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
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]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))))))))) 0) (+ (* 0 0) (* 0 (/ 1 R)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in R
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in R
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]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
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in R
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in R
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in R
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]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
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in R
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in R
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in R
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in R
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]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
* [misc]taylor:  Taking taylor expansion of 0 in R
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]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
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]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)))))))
* [misc]approximate:  Taking taylor expansion of (* (- (/ PI 2) (asin (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (+ (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2))))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))))))) (/ 1 (- R))) in (phi1 phi2 lambda1 lambda2 R) around 0
* [misc]taylor:  Taking taylor expansion of (* (- (/ PI 2) (asin (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (+ (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2))))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))))))) (/ 1 (- R))) in R
* [misc]taylor:  Taking taylor expansion of (- (/ PI 2) (asin (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (+ (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2))))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))))))) in R
* [misc]taylor:  Taking taylor expansion of (/ PI 2) in R
* [misc]taylor:  Taking taylor expansion of PI in R
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in R
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ PI 2) into (* 1/2 PI)
* [misc]taylor:  Taking taylor expansion of (asin (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (+ (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2))))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) in R
* [misc]backup-simplify:  Simplify (asin (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (+ (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2))))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) into (asin (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ -1 lambda2)) (cos (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (- R)) in R
* [misc]taylor:  Taking taylor expansion of (- R) in R
* [misc]taylor:  Taking taylor expansion of R in R
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (- (/ PI 2) (asin (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (+ (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2))))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))))))) (/ 1 (- R))) in lambda2
* [misc]taylor:  Taking taylor expansion of (- (/ PI 2) (asin (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (+ (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2))))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))))))) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ PI 2) in lambda2
* [misc]taylor:  Taking taylor expansion of PI in lambda2
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in lambda2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ PI 2) into (* 1/2 PI)
* [misc]taylor:  Taking taylor expansion of (asin (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (+ (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2))))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) in lambda2
* [misc]backup-simplify:  Simplify (asin (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (+ (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2))))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) into (asin (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ -1 lambda2)) (cos (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (- R)) in lambda2
* [misc]taylor:  Taking taylor expansion of (- R) in lambda2
* [misc]taylor:  Taking taylor expansion of R in lambda2
* [misc]backup-simplify:  Simplify R into R
* [misc]backup-simplify:  Simplify (- R) into (- R)
* [misc]backup-simplify:  Simplify (- R) into (- R)
* [misc]backup-simplify:  Simplify (/ 1 (- R)) into (/ -1 R)
* [misc]taylor:  Taking taylor expansion of (* (- (/ PI 2) (asin (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (+ (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2))))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))))))) (/ 1 (- R))) in lambda1
* [misc]taylor:  Taking taylor expansion of (- (/ PI 2) (asin (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (+ (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2))))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ PI 2) in lambda1
* [misc]taylor:  Taking taylor expansion of PI in lambda1
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in lambda1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ PI 2) into (* 1/2 PI)
* [misc]taylor:  Taking taylor expansion of (asin (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (+ (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2))))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) in lambda1
* [misc]backup-simplify:  Simplify (asin (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (+ (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2))))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) into (asin (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ -1 lambda2)) (cos (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (- R)) in lambda1
* [misc]taylor:  Taking taylor expansion of (- R) in lambda1
* [misc]taylor:  Taking taylor expansion of R in lambda1
* [misc]backup-simplify:  Simplify R into R
* [misc]backup-simplify:  Simplify (- R) into (- R)
* [misc]backup-simplify:  Simplify (- R) into (- R)
* [misc]backup-simplify:  Simplify (/ 1 (- R)) into (/ -1 R)
* [misc]taylor:  Taking taylor expansion of (* (- (/ PI 2) (asin (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (+ (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2))))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))))))) (/ 1 (- R))) in phi2
* [misc]taylor:  Taking taylor expansion of (- (/ PI 2) (asin (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (+ (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2))))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (/ PI 2) in phi2
* [misc]taylor:  Taking taylor expansion of PI in phi2
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ PI 2) into (* 1/2 PI)
* [misc]taylor:  Taking taylor expansion of (asin (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (+ (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2))))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) in phi2
* [misc]backup-simplify:  Simplify (asin (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (+ (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2))))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) into (asin (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ -1 lambda2)) (cos (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (- R)) in phi2
* [misc]taylor:  Taking taylor expansion of (- R) in phi2
* [misc]taylor:  Taking taylor expansion of R in phi2
* [misc]backup-simplify:  Simplify R into R
* [misc]backup-simplify:  Simplify (- R) into (- R)
* [misc]backup-simplify:  Simplify (- R) into (- R)
* [misc]backup-simplify:  Simplify (/ 1 (- R)) into (/ -1 R)
* [misc]taylor:  Taking taylor expansion of (* (- (/ PI 2) (asin (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (+ (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2))))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))))))) (/ 1 (- R))) in phi1
* [misc]taylor:  Taking taylor expansion of (- (/ PI 2) (asin (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (+ (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2))))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))))))) in phi1
* [misc]taylor:  Taking taylor expansion of (/ PI 2) in phi1
* [misc]taylor:  Taking taylor expansion of PI in phi1
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in phi1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ PI 2) into (* 1/2 PI)
* [misc]taylor:  Taking taylor expansion of (asin (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (+ (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2))))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) in phi1
* [misc]backup-simplify:  Simplify (asin (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (+ (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2))))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) into (asin (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ -1 lambda2)) (cos (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (- R)) in phi1
* [misc]taylor:  Taking taylor expansion of (- R) in phi1
* [misc]taylor:  Taking taylor expansion of R in phi1
* [misc]backup-simplify:  Simplify R into R
* [misc]backup-simplify:  Simplify (- R) into (- R)
* [misc]backup-simplify:  Simplify (- R) into (- R)
* [misc]backup-simplify:  Simplify (/ 1 (- R)) into (/ -1 R)
* [misc]taylor:  Taking taylor expansion of (* (- (/ PI 2) (asin (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (+ (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2))))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))))))) (/ 1 (- R))) in phi1
* [misc]taylor:  Taking taylor expansion of (- (/ PI 2) (asin (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (+ (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2))))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))))))) in phi1
* [misc]taylor:  Taking taylor expansion of (/ PI 2) in phi1
* [misc]taylor:  Taking taylor expansion of PI in phi1
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in phi1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ PI 2) into (* 1/2 PI)
* [misc]taylor:  Taking taylor expansion of (asin (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (+ (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2))))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) in phi1
* [misc]backup-simplify:  Simplify (asin (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (+ (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2))))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) into (asin (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ -1 lambda2)) (cos (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (- R)) in phi1
* [misc]taylor:  Taking taylor expansion of (- R) in phi1
* [misc]taylor:  Taking taylor expansion of R in phi1
* [misc]backup-simplify:  Simplify R into R
* [misc]backup-simplify:  Simplify (- R) into (- R)
* [misc]backup-simplify:  Simplify (- R) into (- R)
* [misc]backup-simplify:  Simplify (/ 1 (- R)) into (/ -1 R)
* [misc]backup-simplify:  Simplify (- (asin (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ -1 lambda2)) (cos (/ -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)))))))))
* [misc]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)))))))))
* [misc]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 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))
* [misc]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
* [misc]taylor:  Taking taylor expansion of -1 in phi2
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]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
* [misc]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
* [misc]taylor:  Taking taylor expansion of (* 1/2 PI) in phi2
* [misc]taylor:  Taking taylor expansion of 1/2 in phi2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of PI in phi2
* [misc]backup-simplify:  Simplify PI into PI
* [misc]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
* [misc]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))))))))
* [misc]taylor:  Taking taylor expansion of R in phi2
* [misc]backup-simplify:  Simplify R into R
* [misc]backup-simplify:  Simplify (* 1/2 PI) into (* 1/2 PI)
* [misc]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)))))))))
* [misc]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)))))))))
* [misc]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)
* [misc]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))
* [misc]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
* [misc]taylor:  Taking taylor expansion of -1 in lambda1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]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
* [misc]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
* [misc]taylor:  Taking taylor expansion of (* 1/2 PI) in lambda1
* [misc]taylor:  Taking taylor expansion of 1/2 in lambda1
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of PI in lambda1
* [misc]backup-simplify:  Simplify PI into PI
* [misc]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
* [misc]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))))))))
* [misc]taylor:  Taking taylor expansion of R in lambda1
* [misc]backup-simplify:  Simplify R into R
* [misc]backup-simplify:  Simplify (* 1/2 PI) into (* 1/2 PI)
* [misc]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)))))))))
* [misc]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)))))))))
* [misc]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)
* [misc]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))
* [misc]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
* [misc]taylor:  Taking taylor expansion of -1 in lambda2
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]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
* [misc]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
* [misc]taylor:  Taking taylor expansion of (* 1/2 PI) in lambda2
* [misc]taylor:  Taking taylor expansion of 1/2 in lambda2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of PI in lambda2
* [misc]backup-simplify:  Simplify PI into PI
* [misc]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
* [misc]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))))))))
* [misc]taylor:  Taking taylor expansion of R in lambda2
* [misc]backup-simplify:  Simplify R into R
* [misc]backup-simplify:  Simplify (* 1/2 PI) into (* 1/2 PI)
* [misc]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)))))))))
* [misc]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)))))))))
* [misc]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)
* [misc]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))
* [misc]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 R
* [misc]taylor:  Taking taylor expansion of -1 in R
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]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 R
* [misc]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 R
* [misc]taylor:  Taking taylor expansion of (* 1/2 PI) in R
* [misc]taylor:  Taking taylor expansion of 1/2 in R
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of PI in R
* [misc]backup-simplify:  Simplify PI into PI
* [misc]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 R
* [misc]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))))))))
* [misc]taylor:  Taking taylor expansion of R in R
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 PI) into (* 1/2 PI)
* [misc]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)))))))))
* [misc]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)))))))))
* [misc]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))))))))) 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 lambda2)) (cos (/ -1 phi2)))))))))
* [misc]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))))))))))
* [misc]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))))))))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- R) into (- R)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 R) (/ 0 (- R))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]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))))))))) 0) (* 0 (/ -1 R))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in R
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 PI)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]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
* [misc]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
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in R
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 PI)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]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
* [misc]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
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in R
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 PI)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]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
* [misc]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
* [misc]taylor:  Taking taylor expansion of 0 in R
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 PI)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]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 lambda2)) (cos (/ -1 phi2))))))))) (/ 0 1)))) into 0
* [misc]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))))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- R) into (- R)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- R) into (- R)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 R) (/ 0 (- R))) (* 0 (/ 0 (- R))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]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))))))))) 0) (+ (* 0 0) (* 0 (/ -1 R)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in R
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in R
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]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
* [misc]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
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in R
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in R
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in R
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]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
* [misc]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
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in R
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in R
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in R
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in R
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]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
* [misc]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
* [misc]taylor:  Taking taylor expansion of 0 in R
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]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 lambda2)) (cos (/ -1 phi2))))))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]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)))))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]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 (- lambda2)))) (cos (/ -1 (/ 1 (- phi2)))))))))))) (* (/ 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)
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 75 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (/ (exp (/ PI 2)) (exp (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))))) R))>
* [enter]simplify:  Simplifying (/ (exp (/ PI 2)) (exp (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))))
* * [misc]simplify:  iters left: 6 (27 enodes)
* * [misc]simplify:  iters left: 5 (51 enodes)
* * [misc]simplify:  iters left: 4 (108 enodes)
* * [misc]simplify:  iters left: 3 (169 enodes)
* * [misc]simplify:  iters left: 2 (199 enodes)
* * [misc]simplify:  iters left: 1 (205 enodes)
* [exit]simplify:  Simplified to (exp (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))))
* [misc]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)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))))) R))
* * * * [misc]progress:  [ 2 / 75 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (pow (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) 1) R))>
* * * * [misc]progress:  [ 3 / 75 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (exp (log (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))))) R))>
* * * * [misc]progress:  [ 4 / 75 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))))) R))>
* * * * [misc]progress:  [ 5 / 75 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (* (cbrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))))) (cbrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))))) R))>
* * * * [misc]progress:  [ 6 / 75 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (cbrt (* (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))))) R))>
* * * * [misc]progress:  [ 7 / 75 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) (sqrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))))) R))>
* * * * [misc]progress:  [ 8 / 75 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (- (pow (/ PI 2) 3) (pow (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) 3)) (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (* (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))))) R))>
* * * * [misc]progress:  [ 9 / 75 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (+ (/ PI 2) (- (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) R))>
* * * * [misc]progress:  [ 10 / 75 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* 1 (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) R))>
* * * * [misc]progress:  [ 11 / 75 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (- (* (/ PI 2) (/ PI 2)) (* (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) (+ (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) R))>
* * * * [misc]progress:  [ 12 / 75 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (+ (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) (- (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))))) R))>
* [enter]simplify:  Simplifying (+ (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))))
* * [misc]simplify:  iters left: 6 (27 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (103 enodes)
* * [misc]simplify:  iters left: 3 (162 enodes)
* * [misc]simplify:  iters left: 2 (193 enodes)
* [exit]simplify:  Simplified to (+ (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi2) (sin phi1)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (cos phi2)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (+ (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi2) (sin phi1)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (cos phi2))))))) (- (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))))) R))
* [enter]simplify:  Simplifying (- (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))))
* * [misc]simplify:  iters left: 6 (27 enodes)
* * [misc]simplify:  iters left: 5 (49 enodes)
* * [misc]simplify:  iters left: 4 (105 enodes)
* * [misc]simplify:  iters left: 3 (163 enodes)
* * [misc]simplify:  iters left: 2 (190 enodes)
* [exit]simplify:  Simplified to (- (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi2) (sin phi1)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (cos phi2)))))))
* [misc]simplify:  Simplified (2 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (+ (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi2) (sin phi1)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (cos phi2))))))) (- (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi2) (sin phi1)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (cos phi2)))))))) R))
* * * * [misc]progress:  [ 13 / 75 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* 1 (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) R))>
* [enter]simplify:  Simplifying (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (103 enodes)
* * [misc]simplify:  iters left: 3 (160 enodes)
* * [misc]simplify:  iters left: 2 (180 enodes)
* [exit]simplify:  Simplified to (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))) (* (cos phi2) (cos phi1))))))
* [misc]simplify:  Simplified (2 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* 1 (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))) (* (cos phi2) (cos phi1))))))) R))
* * * * [misc]progress:  [ 14 / 75 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (+ (- (/ PI 2) (/ PI 2)) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) R))>
* [enter]simplify:  Simplifying (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (96 enodes)
* * [misc]simplify:  iters left: 3 (155 enodes)
* * [misc]simplify:  iters left: 2 (184 enodes)
* [exit]simplify:  Simplified to (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (* (cos phi1) (cos phi2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (+ (- (/ PI 2) (/ PI 2)) (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (* (cos phi1) (cos phi2)))))) R))
* * * * [misc]progress:  [ 15 / 75 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (+ (/ PI 2) (- (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) R))>
* * * * [misc]progress:  [ 16 / 75 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (- (/ PI 2) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) R))>
* * * * [misc]progress:  [ 17 / 75 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (pow (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) 1)) R))>
* * * * [misc]progress:  [ 18 / 75 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (exp (log (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))))) R))>
* * * * [misc]progress:  [ 19 / 75 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (log (exp (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))))) R))>
* * * * [misc]progress:  [ 20 / 75 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (* (* (cbrt (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))))) R))>
* * * * [misc]progress:  [ 21 / 75 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (cbrt (* (* (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))))) R))>
* * * * [misc]progress:  [ 22 / 75 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (* (sqrt (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))))) R))>
* * * * [misc]progress:  [ 23 / 75 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (* 1 (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) R))>
* * * * [misc]progress:  [ 24 / 75 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (pow (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) 1))))) R))>
* [enter]simplify:  Simplifying (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (37 enodes)
* * [misc]simplify:  iters left: 2 (61 enodes)
* * [misc]simplify:  iters left: 1 (83 enodes)
* [exit]simplify:  Simplified to (* (* (sin lambda2) (cos phi2)) (* (sin lambda1) (cos phi1)))
* [misc]simplify:  Simplified (2 1 2 1 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (pow (* (* (sin lambda2) (cos phi2)) (* (sin lambda1) (cos phi1))) 1))))) R))
* * * * [misc]progress:  [ 25 / 75 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (pow (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) 1))))) R))>
* [enter]simplify:  Simplifying (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (37 enodes)
* * [misc]simplify:  iters left: 2 (61 enodes)
* * [misc]simplify:  iters left: 1 (83 enodes)
* [exit]simplify:  Simplified to (* (* (sin lambda2) (cos phi2)) (* (sin lambda1) (cos phi1)))
* [misc]simplify:  Simplified (2 1 2 1 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (pow (* (* (sin lambda2) (cos phi2)) (* (sin lambda1) (cos phi1))) 1))))) R))
* * * * [misc]progress:  [ 26 / 75 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (pow (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) 1))))) R))>
* [enter]simplify:  Simplifying (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (37 enodes)
* * [misc]simplify:  iters left: 2 (61 enodes)
* * [misc]simplify:  iters left: 1 (83 enodes)
* [exit]simplify:  Simplified to (* (* (sin lambda2) (cos phi2)) (* (sin lambda1) (cos phi1)))
* [misc]simplify:  Simplified (2 1 2 1 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (pow (* (* (sin lambda2) (cos phi2)) (* (sin lambda1) (cos phi1))) 1))))) R))
* * * * [misc]progress:  [ 27 / 75 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (pow (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) 1))))) R))>
* [enter]simplify:  Simplifying (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (37 enodes)
* * [misc]simplify:  iters left: 2 (61 enodes)
* * [misc]simplify:  iters left: 1 (83 enodes)
* [exit]simplify:  Simplified to (* (* (sin lambda2) (cos phi2)) (* (sin lambda1) (cos phi1)))
* [misc]simplify:  Simplified (2 1 2 1 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (pow (* (* (sin lambda2) (cos phi2)) (* (sin lambda1) (cos phi1))) 1))))) R))
* * * * [misc]progress:  [ 28 / 75 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (pow (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) 1))))) R))>
* * * * [misc]progress:  [ 29 / 75 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (exp (+ (+ (log (cos phi1)) (log (cos phi2))) (+ (log (sin lambda1)) (log (sin lambda2))))))))) R))>
* [enter]simplify:  Simplifying (+ (+ (log (cos phi1)) (log (cos phi2))) (+ (log (sin lambda1)) (log (sin lambda2))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (64 enodes)
* * [misc]simplify:  iters left: 2 (82 enodes)
* [exit]simplify:  Simplified to (+ (+ (log (sin lambda1)) (log (cos phi1))) (+ (log (cos phi2)) (log (sin lambda2))))
* [misc]simplify:  Simplified (2 1 2 1 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (exp (+ (+ (log (sin lambda1)) (log (cos phi1))) (+ (log (cos phi2)) (log (sin lambda2))))))))) R))
* * * * [misc]progress:  [ 30 / 75 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (exp (+ (+ (log (cos phi1)) (log (cos phi2))) (log (* (sin lambda1) (sin lambda2))))))))) R))>
* [enter]simplify:  Simplifying (+ (+ (log (cos phi1)) (log (cos phi2))) (log (* (sin lambda1) (sin lambda2))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (59 enodes)
* * [misc]simplify:  iters left: 2 (73 enodes)
* [exit]simplify:  Simplified to (+ (log (* (sin lambda1) (sin lambda2))) (+ (log (cos phi2)) (log (cos phi1))))
* [misc]simplify:  Simplified (2 1 2 1 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (exp (+ (log (* (sin lambda1) (sin lambda2))) (+ (log (cos phi2)) (log (cos phi1))))))))) R))
* * * * [misc]progress:  [ 31 / 75 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (exp (+ (log (* (cos phi1) (cos phi2))) (+ (log (sin lambda1)) (log (sin lambda2))))))))) R))>
* [enter]simplify:  Simplifying (+ (log (* (cos phi1) (cos phi2))) (+ (log (sin lambda1)) (log (sin lambda2))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (59 enodes)
* * [misc]simplify:  iters left: 2 (74 enodes)
* [exit]simplify:  Simplified to (+ (log (* (cos phi2) (cos phi1))) (+ (log (sin lambda1)) (log (sin lambda2))))
* [misc]simplify:  Simplified (2 1 2 1 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (exp (+ (log (* (cos phi2) (cos phi1))) (+ (log (sin lambda1)) (log (sin lambda2))))))))) R))
* * * * [misc]progress:  [ 32 / 75 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (exp (+ (log (* (cos phi1) (cos phi2))) (log (* (sin lambda1) (sin lambda2))))))))) R))>
* [enter]simplify:  Simplifying (+ (log (* (cos phi1) (cos phi2))) (log (* (sin lambda1) (sin lambda2))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (55 enodes)
* * [misc]simplify:  iters left: 2 (71 enodes)
* * [misc]simplify:  iters left: 1 (76 enodes)
* [exit]simplify:  Simplified to (+ (log (* (cos phi2) (cos phi1))) (log (* (sin lambda2) (sin lambda1))))
* [misc]simplify:  Simplified (2 1 2 1 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (exp (+ (log (* (cos phi2) (cos phi1))) (log (* (sin lambda2) (sin lambda1))))))))) R))
* * * * [misc]progress:  [ 33 / 75 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (exp (log (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))))) R))>
* * * * [misc]progress:  [ 34 / 75 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (log (exp (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))))) R))>
* * * * [misc]progress:  [ 35 / 75 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (cbrt (* (* (* (* (cos phi1) (cos phi1)) (cos phi1)) (* (* (cos phi2) (cos phi2)) (cos phi2))) (* (* (* (sin lambda1) (sin lambda1)) (sin lambda1)) (* (* (sin lambda2) (sin lambda2)) (sin lambda2))))))))) R))>
* [enter]simplify:  Simplifying (* (* (* (* (cos phi1) (cos phi1)) (cos phi1)) (* (* (cos phi2) (cos phi2)) (cos phi2))) (* (* (* (sin lambda1) (sin lambda1)) (sin lambda1)) (* (* (sin lambda2) (sin lambda2)) (sin lambda2))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (144 enodes)
* [exit]simplify:  Simplified to (* (* (pow (cos phi2) 3) (pow (sin lambda2) 3)) (* (pow (sin lambda1) 3) (pow (cos phi1) 3)))
* [misc]simplify:  Simplified (2 1 2 1 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (cbrt (* (* (pow (cos phi2) 3) (pow (sin lambda2) 3)) (* (pow (sin lambda1) 3) (pow (cos phi1) 3)))))))) R))
* * * * [misc]progress:  [ 36 / 75 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (cbrt (* (* (* (* (cos phi1) (cos phi1)) (cos phi1)) (* (* (cos phi2) (cos phi2)) (cos phi2))) (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2))))))))) R))>
* [enter]simplify:  Simplifying (* (* (* (* (cos phi1) (cos phi1)) (cos phi1)) (* (* (cos phi2) (cos phi2)) (cos phi2))) (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (130 enodes)
* [exit]simplify:  Simplified to (* (pow (* (sin lambda2) (sin lambda1)) 3) (* (pow (cos phi1) 3) (pow (cos phi2) 3)))
* [misc]simplify:  Simplified (2 1 2 1 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (cbrt (* (pow (* (sin lambda2) (sin lambda1)) 3) (* (pow (cos phi1) 3) (pow (cos phi2) 3)))))))) R))
* * * * [misc]progress:  [ 37 / 75 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (cbrt (* (* (* (* (cos phi1) (cos phi2)) (* (cos phi1) (cos phi2))) (* (cos phi1) (cos phi2))) (* (* (* (sin lambda1) (sin lambda1)) (sin lambda1)) (* (* (sin lambda2) (sin lambda2)) (sin lambda2))))))))) R))>
* [enter]simplify:  Simplifying (* (* (* (* (cos phi1) (cos phi2)) (* (cos phi1) (cos phi2))) (* (cos phi1) (cos phi2))) (* (* (* (sin lambda1) (sin lambda1)) (sin lambda1)) (* (* (sin lambda2) (sin lambda2)) (sin lambda2))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (130 enodes)
* [exit]simplify:  Simplified to (* (* (pow (sin lambda2) 3) (pow (sin lambda1) 3)) (pow (* (cos phi2) (cos phi1)) 3))
* [misc]simplify:  Simplified (2 1 2 1 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (cbrt (* (* (pow (sin lambda2) 3) (pow (sin lambda1) 3)) (pow (* (cos phi2) (cos phi1)) 3))))))) R))
* * * * [misc]progress:  [ 38 / 75 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (cbrt (* (* (* (* (cos phi1) (cos phi2)) (* (cos phi1) (cos phi2))) (* (cos phi1) (cos phi2))) (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2))))))))) R))>
* [enter]simplify:  Simplifying (* (* (* (* (cos phi1) (cos phi2)) (* (cos phi1) (cos phi2))) (* (cos phi1) (cos phi2))) (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (116 enodes)
* * [misc]simplify:  iters left: 3 (467 enodes)
* [exit]simplify:  Simplified to (* (pow (* (sin lambda1) (sin lambda2)) 3) (pow (* (cos phi2) (cos phi1)) 3))
* [misc]simplify:  Simplified (2 1 2 1 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (cbrt (* (pow (* (sin lambda1) (sin lambda2)) 3) (pow (* (cos phi2) (cos phi1)) 3))))))) R))
* * * * [misc]progress:  [ 39 / 75 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cbrt (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))) (cbrt (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))) (cbrt (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))))) R))>
* * * * [misc]progress:  [ 40 / 75 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (cbrt (* (* (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))))) R))>
* * * * [misc]progress:  [ 41 / 75 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (sqrt (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))) (sqrt (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))))) R))>
* * * * [misc]progress:  [ 42 / 75 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (/ (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2)))) (* 2 2)))))) R))>
* [enter]simplify:  Simplifying (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (72 enodes)
* * [misc]simplify:  iters left: 2 (153 enodes)
* * [misc]simplify:  iters left: 1 (305 enodes)
* [exit]simplify:  Simplified to (* (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) (+ (cos (+ phi2 phi1)) (cos (- phi1 phi2))))
* [misc]simplify:  Simplified (2 1 2 1 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (/ (* (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) (+ (cos (+ phi2 phi1)) (cos (- phi1 phi2)))) (* 2 2)))))) R))
* [enter]simplify:  Simplifying (* 2 2)
* * [misc]simplify:  iters left: 2 (2 enodes)
* [exit]simplify:  Simplified to (* 2 2)
* [misc]simplify:  Simplified (2 1 2 1 2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (/ (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2)))) (* 2 2)))))) R))
* * * * [misc]progress:  [ 43 / 75 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* 1 (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) R))>
* * * * [misc]progress:  [ 44 / 75 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (* (cos phi1) (cos phi2)) (sin lambda1)) (sin lambda2)))))) R))>
* [enter]simplify:  Simplifying (sin lambda2)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (sin lambda2)
* [misc]simplify:  Simplified (2 1 2 1 2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (* (cos phi1) (cos phi2)) (sin lambda1)) (sin lambda2)))))) R))
* * * * [misc]progress:  [ 45 / 75 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))) R))>
* [enter]simplify:  Simplifying (cos phi1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (cos phi1)
* [misc]simplify:  Simplified (2 1 2 1 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))) R))
* * * * [misc]progress:  [ 46 / 75 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (/ (* (* (cos phi1) (cos phi2)) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2)))) 2))))) R))>
* * * * [misc]progress:  [ 47 / 75 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (/ (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (* (sin lambda1) (sin lambda2))) 2))))) R))>
* [enter]simplify:  Simplifying (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (* (sin lambda1) (sin lambda2)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (61 enodes)
* * [misc]simplify:  iters left: 2 (77 enodes)
* [exit]simplify:  Simplified to (* (* (sin lambda1) (sin lambda2)) (+ (cos (+ phi2 phi1)) (cos (- phi1 phi2))))
* [misc]simplify:  Simplified (2 1 2 1 2 2 1) to (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)) (+ (cos (+ phi2 phi1)) (cos (- phi1 phi2)))) 2))))) R))
* * * * [misc]progress:  [ 48 / 75 ] 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)) (* (cos phi1) (cos phi2))))))) R))>
* * * * [misc]progress:  [ 49 / 75 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (pow (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) R) 1))>
* * * * [misc]progress:  [ 50 / 75 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (exp (log (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) R))))>
* * * * [misc]progress:  [ 51 / 75 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (log (exp (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) R))))>
* * * * [misc]progress:  [ 52 / 75 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) R)) (cbrt (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) R))) (cbrt (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) R))))>
* * * * [misc]progress:  [ 53 / 75 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (cbrt (* (* (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) R) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) R)) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) R))))>
* * * * [misc]progress:  [ 54 / 75 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) R)) (sqrt (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) R))))>
* * * * [misc]progress:  [ 55 / 75 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* 1 (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) R)))>
* * * * [misc]progress:  [ 56 / 75 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))))) (* (cbrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) R)))>
* [enter]simplify:  Simplifying (* (cbrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))))
* * [misc]simplify:  iters left: 6 (27 enodes)
* * [misc]simplify:  iters left: 5 (49 enodes)
* * [misc]simplify:  iters left: 4 (105 enodes)
* * [misc]simplify:  iters left: 3 (163 enodes)
* * [misc]simplify:  iters left: 2 (190 enodes)
* [exit]simplify:  Simplified to (* (cbrt (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) (cbrt (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))))
* [misc]simplify:  Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) (cbrt (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))))) (* (cbrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) R)))
* * * * [misc]progress:  [ 57 / 75 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) (* (sqrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) R)))>
* [enter]simplify:  Simplifying (sqrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (104 enodes)
* * [misc]simplify:  iters left: 3 (162 enodes)
* * [misc]simplify:  iters left: 2 (193 enodes)
* [exit]simplify:  Simplified to (sqrt (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))))
* [misc]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)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) R)))
* * * * [misc]progress:  [ 58 / 75 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* 1 (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) R)))>
* * * * [misc]progress:  [ 59 / 75 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (+ (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) (* (- (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) R)))>
* [enter]simplify:  Simplifying (+ (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))))
* * [misc]simplify:  iters left: 6 (27 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (103 enodes)
* * [misc]simplify:  iters left: 3 (162 enodes)
* * [misc]simplify:  iters left: 2 (193 enodes)
* [exit]simplify:  Simplified to (+ (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi2) (sin phi1)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (cos phi2)))))))
* [misc]simplify:  Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (+ (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi2) (sin phi1)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (cos phi2))))))) (* (- (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) R)))
* * * * [misc]progress:  [ 60 / 75 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* 1 (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) R)))>
* * * * [misc]progress:  [ 61 / 75 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (/ (* (- (pow (/ PI 2) 3) (pow (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) 3)) R) (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (* (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))))))>
* [enter]simplify:  Simplifying (* (- (pow (/ PI 2) 3) (pow (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) 3)) R)
* * [misc]simplify:  iters left: 6 (30 enodes)
* * [misc]simplify:  iters left: 5 (62 enodes)
* * [misc]simplify:  iters left: 4 (144 enodes)
* * [misc]simplify:  iters left: 3 (281 enodes)
* * [misc]simplify:  iters left: 2 (459 enodes)
* [exit]simplify:  Simplified to (- (/ (/ PI (/ 2 R)) (* (/ 2 PI) (/ 2 PI))) (* (* R (asin (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi1) (sin phi2))))) (* (asin (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi1) (sin phi2)))) (asin (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi1) (sin phi2)))))))
* [misc]simplify:  Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (/ (- (/ (/ PI (/ 2 R)) (* (/ 2 PI) (/ 2 PI))) (* (* R (asin (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi1) (sin phi2))))) (* (asin (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi1) (sin phi2)))) (asin (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi1) (sin phi2))))))) (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (* (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))))))
* * * * [misc]progress:  [ 62 / 75 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (/ (* (- (* (/ PI 2) (/ PI 2)) (* (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) R) (+ (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))))>
* [enter]simplify:  Simplifying (* (- (* (/ PI 2) (/ PI 2)) (* (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) R)
* * [misc]simplify:  iters left: 6 (29 enodes)
* * [misc]simplify:  iters left: 5 (59 enodes)
* * [misc]simplify:  iters left: 4 (137 enodes)
* * [misc]simplify:  iters left: 3 (258 enodes)
* * [misc]simplify:  iters left: 2 (462 enodes)
* [exit]simplify:  Simplified to (* (* (+ (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))) (/ PI 2)) R) (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))))
* [misc]simplify:  Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (/ (* (* (+ (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))) (/ PI 2)) R) (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))) (+ (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))))
* * * * [misc]progress:  [ 63 / 75 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))))>
* * * * [misc]progress:  [ 64 / 75 ] 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 lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) R))>
* [enter]simplify:  Simplifying (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (97 enodes)
* * [misc]simplify:  iters left: 3 (162 enodes)
* * [misc]simplify:  iters left: 2 (204 enodes)
* [exit]simplify:  Simplified to (- (* 1/2 PI) (asin (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi1) (sin phi2)))))
* [misc]simplify:  Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (- (* 1/2 PI) (asin (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi1) (sin phi2))))) R))
* * * * [misc]progress:  [ 65 / 75 ] 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))>
* [enter]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))))))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (97 enodes)
* * [misc]simplify:  iters left: 3 (162 enodes)
* * [misc]simplify:  iters left: 2 (204 enodes)
* [exit]simplify:  Simplified to (- (* 1/2 PI) (asin (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi2) (cos phi1))) (* (sin phi1) (sin phi2)))))
* [misc]simplify:  Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (- (* 1/2 PI) (asin (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi2) (cos phi1))) (* (sin phi1) (sin phi2))))) R))
* * * * [misc]progress:  [ 66 / 75 ] 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))>
* [enter]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))))))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (97 enodes)
* * [misc]simplify:  iters left: 3 (162 enodes)
* * [misc]simplify:  iters left: 2 (204 enodes)
* [exit]simplify:  Simplified to (- (* 1/2 PI) (asin (+ (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi1) (sin phi2)))))
* [misc]simplify:  Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (- (* 1/2 PI) (asin (+ (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi1) (sin phi2))))) R))
* * * * [misc]progress:  [ 67 / 75 ] 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 lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) R))>
* [enter]simplify:  Simplifying (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (89 enodes)
* * [misc]simplify:  iters left: 3 (153 enodes)
* * [misc]simplify:  iters left: 2 (190 enodes)
* [exit]simplify:  Simplified to (asin (+ (* (sin phi1) (sin phi2)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1)))))) R))
* * * * [misc]progress:  [ 68 / 75 ] 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))>
* [enter]simplify:  Simplifying (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (89 enodes)
* * [misc]simplify:  iters left: 3 (153 enodes)
* * [misc]simplify:  iters left: 2 (190 enodes)
* [exit]simplify:  Simplified to (asin (+ (* (sin phi1) (sin phi2)) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1)))))
* [misc]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))
* * * * [misc]progress:  [ 69 / 75 ] 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))>
* [enter]simplify:  Simplifying (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (89 enodes)
* * [misc]simplify:  iters left: 3 (153 enodes)
* * [misc]simplify:  iters left: 2 (190 enodes)
* [exit]simplify:  Simplified to (asin (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1)))))
* [misc]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))
* * * * [misc]progress:  [ 70 / 75 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) 0)))) R))>
* [enter]simplify:  Simplifying 0
* * [misc]simplify:  iters left: 0 (1 enodes)
* [exit]simplify:  Simplified to 0
* [misc]simplify:  Simplified (2 1 2 1 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) 0)))) R))
* * * * [misc]progress:  [ 71 / 75 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))))))) R))>
* [enter]simplify:  Simplifying (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (61 enodes)
* * [misc]simplify:  iters left: 2 (73 enodes)
* [exit]simplify:  Simplified to (* (* (cos phi1) (sin lambda1)) (* (cos phi2) (sin lambda2)))
* [misc]simplify:  Simplified (2 1 2 1 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (sin lambda1)) (* (cos phi2) (sin lambda2))))))) R))
* * * * [misc]progress:  [ 72 / 75 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))) R))>
* [enter]simplify:  Simplifying (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (61 enodes)
* * [misc]simplify:  iters left: 2 (73 enodes)
* [exit]simplify:  Simplified to (* (* (cos phi1) (sin lambda2)) (* (cos phi2) (sin lambda1)))
* [misc]simplify:  Simplified (2 1 2 1 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (sin lambda2)) (* (cos phi2) (sin lambda1))))))) R))
* * * * [misc]progress:  [ 73 / 75 ] 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 lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) R))>
* [enter]simplify:  Simplifying (* (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) R)
* * [misc]simplify:  iters left: 6 (28 enodes)
* * [misc]simplify:  iters left: 5 (50 enodes)
* * [misc]simplify:  iters left: 4 (106 enodes)
* * [misc]simplify:  iters left: 3 (185 enodes)
* * [misc]simplify:  iters left: 2 (233 enodes)
* [exit]simplify:  Simplified to (* (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1)))))) R)
* [misc]simplify:  Simplified (2) to (λ (R lambda1 lambda2 phi1 phi2) (* (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1)))))) R))
* * * * [misc]progress:  [ 74 / 75 ] 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))))))))>
* [enter]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)))))))
* * [misc]simplify:  iters left: 6 (28 enodes)
* * [misc]simplify:  iters left: 5 (50 enodes)
* * [misc]simplify:  iters left: 4 (106 enodes)
* * [misc]simplify:  iters left: 3 (184 enodes)
* * [misc]simplify:  iters left: 2 (225 enodes)
* [exit]simplify:  Simplified to (* R (- (* PI 1/2) (asin (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi1) (sin phi2))))))
* [misc]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)))))))
* * * * [misc]progress:  [ 75 / 75 ] 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))>
* [enter]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)
* * [misc]simplify:  iters left: 6 (28 enodes)
* * [misc]simplify:  iters left: 5 (50 enodes)
* * [misc]simplify:  iters left: 4 (106 enodes)
* * [misc]simplify:  iters left: 3 (185 enodes)
* * [misc]simplify:  iters left: 2 (233 enodes)
* [exit]simplify:  Simplified to (* (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1)))))) R)
* [misc]simplify:  Simplified (2) to (λ (R lambda1 lambda2 phi1 phi2) (* (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1)))))) R))
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  iteration 4 / 4
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))))) R))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 4 ] rewriting at (2 1 1 1)
* * * * [misc]progress:  [ 2 / 4 ] rewriting at (2 1)
* * * * [misc]progress:  [ 3 / 4 ] rewriting at (2 1 1 1 2)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2 1 1)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 4 ] generating series at (2 1 1 1)
* [misc]approximate:  Taking taylor expansion of (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))) in (phi2 phi1 lambda1 lambda2) around 0
* [misc]taylor:  Taking taylor expansion of (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ PI 2) in lambda2
* [misc]taylor:  Taking taylor expansion of PI in lambda2
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in lambda2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ PI 2) into (* 1/2 PI)
* [misc]taylor:  Taking taylor expansion of (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))) in lambda2
* [misc]backup-simplify:  Simplify (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
* [misc]taylor:  Taking taylor expansion of (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ PI 2) in lambda1
* [misc]taylor:  Taking taylor expansion of PI in lambda1
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in lambda1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ PI 2) into (* 1/2 PI)
* [misc]taylor:  Taking taylor expansion of (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))) in lambda1
* [misc]backup-simplify:  Simplify (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
* [misc]taylor:  Taking taylor expansion of (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))) in phi1
* [misc]taylor:  Taking taylor expansion of (/ PI 2) in phi1
* [misc]taylor:  Taking taylor expansion of PI in phi1
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in phi1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ PI 2) into (* 1/2 PI)
* [misc]taylor:  Taking taylor expansion of (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))) in phi1
* [misc]backup-simplify:  Simplify (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
* [misc]taylor:  Taking taylor expansion of (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (/ PI 2) in phi2
* [misc]taylor:  Taking taylor expansion of PI in phi2
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ PI 2) into (* 1/2 PI)
* [misc]taylor:  Taking taylor expansion of (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))) in phi2
* [misc]backup-simplify:  Simplify (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
* [misc]taylor:  Taking taylor expansion of (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (/ PI 2) in phi2
* [misc]taylor:  Taking taylor expansion of PI in phi2
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ PI 2) into (* 1/2 PI)
* [misc]taylor:  Taking taylor expansion of (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))) in phi2
* [misc]backup-simplify:  Simplify (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
* [misc]backup-simplify:  Simplify (- (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (- (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
* [misc]backup-simplify:  Simplify (+ (* 1/2 PI) (- (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin 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))))))
* [misc]taylor:  Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi1
* [misc]taylor:  Taking taylor expansion of (* 1/2 PI) in phi1
* [misc]taylor:  Taking taylor expansion of 1/2 in phi1
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of PI in phi1
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1
* [misc]backup-simplify:  Simplify (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
* [misc]backup-simplify:  Simplify (* 1/2 PI) into (* 1/2 PI)
* [misc]backup-simplify:  Simplify (- (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (- (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
* [misc]backup-simplify:  Simplify (+ (* 1/2 PI) (- (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin 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))))))
* [misc]taylor:  Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* 1/2 PI) in lambda1
* [misc]taylor:  Taking taylor expansion of 1/2 in lambda1
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of PI in lambda1
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1
* [misc]backup-simplify:  Simplify (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
* [misc]backup-simplify:  Simplify (* 1/2 PI) into (* 1/2 PI)
* [misc]backup-simplify:  Simplify (- (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (- (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
* [misc]backup-simplify:  Simplify (+ (* 1/2 PI) (- (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin 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))))))
* [misc]taylor:  Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* 1/2 PI) in lambda2
* [misc]taylor:  Taking taylor expansion of 1/2 in lambda2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of PI in lambda2
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2
* [misc]backup-simplify:  Simplify (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
* [misc]backup-simplify:  Simplify (* 1/2 PI) into (* 1/2 PI)
* [misc]backup-simplify:  Simplify (- (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (- (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
* [misc]backup-simplify:  Simplify (+ (* 1/2 PI) (- (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin 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))))))
* [misc]backup-simplify:  Simplify (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin 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))))))
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 PI)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 PI)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 PI)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin 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))))))
* [misc]approximate:  Taking taylor expansion of (- (/ PI 2) (asin (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2)))))))) in (phi2 phi1 lambda1 lambda2) around 0
* [misc]taylor:  Taking taylor expansion of (- (/ PI 2) (asin (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2)))))))) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ PI 2) in lambda2
* [misc]taylor:  Taking taylor expansion of PI in lambda2
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in lambda2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ PI 2) into (* 1/2 PI)
* [misc]taylor:  Taking taylor expansion of (asin (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))))))) in lambda2
* [misc]backup-simplify:  Simplify (asin (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (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))))))))
* [misc]taylor:  Taking taylor expansion of (- (/ PI 2) (asin (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2)))))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ PI 2) in lambda1
* [misc]taylor:  Taking taylor expansion of PI in lambda1
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in lambda1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ PI 2) into (* 1/2 PI)
* [misc]taylor:  Taking taylor expansion of (asin (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))))))) in lambda1
* [misc]backup-simplify:  Simplify (asin (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (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))))))))
* [misc]taylor:  Taking taylor expansion of (- (/ PI 2) (asin (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2)))))))) in phi1
* [misc]taylor:  Taking taylor expansion of (/ PI 2) in phi1
* [misc]taylor:  Taking taylor expansion of PI in phi1
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in phi1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ PI 2) into (* 1/2 PI)
* [misc]taylor:  Taking taylor expansion of (asin (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))))))) in phi1
* [misc]backup-simplify:  Simplify (asin (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (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))))))))
* [misc]taylor:  Taking taylor expansion of (- (/ PI 2) (asin (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2)))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (/ PI 2) in phi2
* [misc]taylor:  Taking taylor expansion of PI in phi2
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ PI 2) into (* 1/2 PI)
* [misc]taylor:  Taking taylor expansion of (asin (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))))))) in phi2
* [misc]backup-simplify:  Simplify (asin (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (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))))))))
* [misc]taylor:  Taking taylor expansion of (- (/ PI 2) (asin (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2)))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (/ PI 2) in phi2
* [misc]taylor:  Taking taylor expansion of PI in phi2
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ PI 2) into (* 1/2 PI)
* [misc]taylor:  Taking taylor expansion of (asin (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))))))) in phi2
* [misc]backup-simplify:  Simplify (asin (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (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))))))))
* [misc]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)))))))))
* [misc]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)))))))))
* [misc]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
* [misc]taylor:  Taking taylor expansion of (* 1/2 PI) in phi1
* [misc]taylor:  Taking taylor expansion of 1/2 in phi1
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of PI in phi1
* [misc]backup-simplify:  Simplify PI into PI
* [misc]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
* [misc]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))))))))
* [misc]backup-simplify:  Simplify (* 1/2 PI) into (* 1/2 PI)
* [misc]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)))))))))
* [misc]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)))))))))
* [misc]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
* [misc]taylor:  Taking taylor expansion of (* 1/2 PI) in lambda1
* [misc]taylor:  Taking taylor expansion of 1/2 in lambda1
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of PI in lambda1
* [misc]backup-simplify:  Simplify PI into PI
* [misc]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
* [misc]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))))))))
* [misc]backup-simplify:  Simplify (* 1/2 PI) into (* 1/2 PI)
* [misc]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)))))))))
* [misc]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)))))))))
* [misc]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
* [misc]taylor:  Taking taylor expansion of (* 1/2 PI) in lambda2
* [misc]taylor:  Taking taylor expansion of 1/2 in lambda2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of PI in lambda2
* [misc]backup-simplify:  Simplify PI into PI
* [misc]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
* [misc]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))))))))
* [misc]backup-simplify:  Simplify (* 1/2 PI) into (* 1/2 PI)
* [misc]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)))))))))
* [misc]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)))))))))
* [misc]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)))))))))
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 PI)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 PI)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 PI)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]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))))))
* [misc]approximate:  Taking taylor expansion of (- (/ PI 2) (asin (+ (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2))))))))) in (phi2 phi1 lambda1 lambda2) around 0
* [misc]taylor:  Taking taylor expansion of (- (/ PI 2) (asin (+ (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2))))))))) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ PI 2) in lambda2
* [misc]taylor:  Taking taylor expansion of PI in lambda2
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in lambda2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ PI 2) into (* 1/2 PI)
* [misc]taylor:  Taking taylor expansion of (asin (+ (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))))))) in lambda2
* [misc]backup-simplify:  Simplify (asin (+ (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (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))))))))
* [misc]taylor:  Taking taylor expansion of (- (/ PI 2) (asin (+ (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2))))))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ PI 2) in lambda1
* [misc]taylor:  Taking taylor expansion of PI in lambda1
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in lambda1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ PI 2) into (* 1/2 PI)
* [misc]taylor:  Taking taylor expansion of (asin (+ (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))))))) in lambda1
* [misc]backup-simplify:  Simplify (asin (+ (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (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))))))))
* [misc]taylor:  Taking taylor expansion of (- (/ PI 2) (asin (+ (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2))))))))) in phi1
* [misc]taylor:  Taking taylor expansion of (/ PI 2) in phi1
* [misc]taylor:  Taking taylor expansion of PI in phi1
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in phi1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ PI 2) into (* 1/2 PI)
* [misc]taylor:  Taking taylor expansion of (asin (+ (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))))))) in phi1
* [misc]backup-simplify:  Simplify (asin (+ (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (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))))))))
* [misc]taylor:  Taking taylor expansion of (- (/ PI 2) (asin (+ (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2))))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (/ PI 2) in phi2
* [misc]taylor:  Taking taylor expansion of PI in phi2
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ PI 2) into (* 1/2 PI)
* [misc]taylor:  Taking taylor expansion of (asin (+ (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))))))) in phi2
* [misc]backup-simplify:  Simplify (asin (+ (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (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))))))))
* [misc]taylor:  Taking taylor expansion of (- (/ PI 2) (asin (+ (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2))))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (/ PI 2) in phi2
* [misc]taylor:  Taking taylor expansion of PI in phi2
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ PI 2) into (* 1/2 PI)
* [misc]taylor:  Taking taylor expansion of (asin (+ (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))))))) in phi2
* [misc]backup-simplify:  Simplify (asin (+ (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (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))))))))
* [misc]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)))))))))
* [misc]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)))))))))
* [misc]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
* [misc]taylor:  Taking taylor expansion of (* 1/2 PI) in phi1
* [misc]taylor:  Taking taylor expansion of 1/2 in phi1
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of PI in phi1
* [misc]backup-simplify:  Simplify PI into PI
* [misc]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
* [misc]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))))))))
* [misc]backup-simplify:  Simplify (* 1/2 PI) into (* 1/2 PI)
* [misc]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)))))))))
* [misc]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)))))))))
* [misc]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
* [misc]taylor:  Taking taylor expansion of (* 1/2 PI) in lambda1
* [misc]taylor:  Taking taylor expansion of 1/2 in lambda1
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of PI in lambda1
* [misc]backup-simplify:  Simplify PI into PI
* [misc]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
* [misc]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))))))))
* [misc]backup-simplify:  Simplify (* 1/2 PI) into (* 1/2 PI)
* [misc]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)))))))))
* [misc]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)))))))))
* [misc]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
* [misc]taylor:  Taking taylor expansion of (* 1/2 PI) in lambda2
* [misc]taylor:  Taking taylor expansion of 1/2 in lambda2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of PI in lambda2
* [misc]backup-simplify:  Simplify PI into PI
* [misc]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
* [misc]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))))))))
* [misc]backup-simplify:  Simplify (* 1/2 PI) into (* 1/2 PI)
* [misc]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)))))))))
* [misc]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)))))))))
* [misc]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)))))))))
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 PI)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 PI)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 PI)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]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 (- phi2)))) (cos (/ -1 (/ 1 (- lambda2))))))))))) 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))))))
* * * * [misc]progress:  [ 2 / 4 ] generating series at (2 1)
* [misc]approximate:  Taking taylor expansion of (log (exp (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))))) in (phi2 phi1 lambda1 lambda2) around 0
* [misc]taylor:  Taking taylor expansion of (log (exp (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))))) in lambda2
* [misc]taylor:  Taking taylor expansion of (exp (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))) in lambda2
* [misc]taylor:  Taking taylor expansion of (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ PI 2) in lambda2
* [misc]taylor:  Taking taylor expansion of PI in lambda2
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in lambda2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ PI 2) into (* 1/2 PI)
* [misc]taylor:  Taking taylor expansion of (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))) in lambda2
* [misc]backup-simplify:  Simplify (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
* [misc]backup-simplify:  Simplify (- (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (- (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
* [misc]backup-simplify:  Simplify (+ (* 1/2 PI) (- (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin 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))))))
* [misc]backup-simplify:  Simplify (exp (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into (exp (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))))
* [misc]backup-simplify:  Simplify (log (exp (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin 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))))))
* [misc]taylor:  Taking taylor expansion of (log (exp (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (exp (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ PI 2) in lambda1
* [misc]taylor:  Taking taylor expansion of PI in lambda1
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in lambda1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ PI 2) into (* 1/2 PI)
* [misc]taylor:  Taking taylor expansion of (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))) in lambda1
* [misc]backup-simplify:  Simplify (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
* [misc]backup-simplify:  Simplify (- (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (- (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
* [misc]backup-simplify:  Simplify (+ (* 1/2 PI) (- (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin 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))))))
* [misc]backup-simplify:  Simplify (exp (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into (exp (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))))
* [misc]backup-simplify:  Simplify (log (exp (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin 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))))))
* [misc]taylor:  Taking taylor expansion of (log (exp (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))))) in phi1
* [misc]taylor:  Taking taylor expansion of (exp (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))) in phi1
* [misc]taylor:  Taking taylor expansion of (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))) in phi1
* [misc]taylor:  Taking taylor expansion of (/ PI 2) in phi1
* [misc]taylor:  Taking taylor expansion of PI in phi1
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in phi1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ PI 2) into (* 1/2 PI)
* [misc]taylor:  Taking taylor expansion of (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))) in phi1
* [misc]backup-simplify:  Simplify (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
* [misc]backup-simplify:  Simplify (- (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (- (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
* [misc]backup-simplify:  Simplify (+ (* 1/2 PI) (- (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin 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))))))
* [misc]backup-simplify:  Simplify (exp (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into (exp (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))))
* [misc]backup-simplify:  Simplify (log (exp (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin 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))))))
* [misc]taylor:  Taking taylor expansion of (log (exp (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (exp (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (/ PI 2) in phi2
* [misc]taylor:  Taking taylor expansion of PI in phi2
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ PI 2) into (* 1/2 PI)
* [misc]taylor:  Taking taylor expansion of (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))) in phi2
* [misc]backup-simplify:  Simplify (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
* [misc]backup-simplify:  Simplify (- (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (- (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
* [misc]backup-simplify:  Simplify (+ (* 1/2 PI) (- (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin 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))))))
* [misc]backup-simplify:  Simplify (exp (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into (exp (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))))
* [misc]backup-simplify:  Simplify (log (exp (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin 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))))))
* [misc]taylor:  Taking taylor expansion of (log (exp (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (exp (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (/ PI 2) in phi2
* [misc]taylor:  Taking taylor expansion of PI in phi2
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ PI 2) into (* 1/2 PI)
* [misc]taylor:  Taking taylor expansion of (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))) in phi2
* [misc]backup-simplify:  Simplify (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
* [misc]backup-simplify:  Simplify (- (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (- (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
* [misc]backup-simplify:  Simplify (+ (* 1/2 PI) (- (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin 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))))))
* [misc]backup-simplify:  Simplify (exp (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into (exp (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))))
* [misc]backup-simplify:  Simplify (log (exp (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin 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))))))
* [misc]taylor:  Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi1
* [misc]taylor:  Taking taylor expansion of (* 1/2 PI) in phi1
* [misc]taylor:  Taking taylor expansion of 1/2 in phi1
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of PI in phi1
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1
* [misc]backup-simplify:  Simplify (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
* [misc]backup-simplify:  Simplify (* 1/2 PI) into (* 1/2 PI)
* [misc]backup-simplify:  Simplify (- (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (- (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
* [misc]backup-simplify:  Simplify (+ (* 1/2 PI) (- (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin 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))))))
* [misc]taylor:  Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* 1/2 PI) in lambda1
* [misc]taylor:  Taking taylor expansion of 1/2 in lambda1
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of PI in lambda1
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1
* [misc]backup-simplify:  Simplify (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
* [misc]backup-simplify:  Simplify (* 1/2 PI) into (* 1/2 PI)
* [misc]backup-simplify:  Simplify (- (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (- (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
* [misc]backup-simplify:  Simplify (+ (* 1/2 PI) (- (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin 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))))))
* [misc]taylor:  Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* 1/2 PI) in lambda2
* [misc]taylor:  Taking taylor expansion of 1/2 in lambda2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of PI in lambda2
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2
* [misc]backup-simplify:  Simplify (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
* [misc]backup-simplify:  Simplify (* 1/2 PI) into (* 1/2 PI)
* [misc]backup-simplify:  Simplify (- (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (- (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
* [misc]backup-simplify:  Simplify (+ (* 1/2 PI) (- (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin 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))))))
* [misc]backup-simplify:  Simplify (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin 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))))))
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (exp (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) 1)))) 1) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 PI)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 PI)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 PI)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (exp (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) 1)))) 2) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin 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))))))
* [misc]approximate:  Taking taylor expansion of (log (exp (- (/ PI 2) (asin (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2)))))))))) in (phi2 phi1 lambda1 lambda2) around 0
* [misc]taylor:  Taking taylor expansion of (log (exp (- (/ PI 2) (asin (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2)))))))))) in lambda2
* [misc]taylor:  Taking taylor expansion of (exp (- (/ PI 2) (asin (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))))))))) in lambda2
* [misc]taylor:  Taking taylor expansion of (- (/ PI 2) (asin (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2)))))))) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ PI 2) in lambda2
* [misc]taylor:  Taking taylor expansion of PI in lambda2
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in lambda2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ PI 2) into (* 1/2 PI)
* [misc]taylor:  Taking taylor expansion of (asin (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))))))) in lambda2
* [misc]backup-simplify:  Simplify (asin (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (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))))))))
* [misc]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)))))))))
* [misc]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)))))))))
* [misc]backup-simplify:  Simplify (exp (- (* 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 (exp (- (* 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))))))))))
* [misc]backup-simplify:  Simplify (log (exp (- (* 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)))))))))
* [misc]taylor:  Taking taylor expansion of (log (exp (- (/ PI 2) (asin (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2)))))))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (exp (- (/ PI 2) (asin (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))))))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (- (/ PI 2) (asin (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2)))))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ PI 2) in lambda1
* [misc]taylor:  Taking taylor expansion of PI in lambda1
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in lambda1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ PI 2) into (* 1/2 PI)
* [misc]taylor:  Taking taylor expansion of (asin (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))))))) in lambda1
* [misc]backup-simplify:  Simplify (asin (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (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))))))))
* [misc]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)))))))))
* [misc]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)))))))))
* [misc]backup-simplify:  Simplify (exp (- (* 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 (exp (- (* 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))))))))))
* [misc]backup-simplify:  Simplify (log (exp (- (* 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)))))))))
* [misc]taylor:  Taking taylor expansion of (log (exp (- (/ PI 2) (asin (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2)))))))))) in phi1
* [misc]taylor:  Taking taylor expansion of (exp (- (/ PI 2) (asin (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))))))))) in phi1
* [misc]taylor:  Taking taylor expansion of (- (/ PI 2) (asin (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2)))))))) in phi1
* [misc]taylor:  Taking taylor expansion of (/ PI 2) in phi1
* [misc]taylor:  Taking taylor expansion of PI in phi1
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in phi1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ PI 2) into (* 1/2 PI)
* [misc]taylor:  Taking taylor expansion of (asin (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))))))) in phi1
* [misc]backup-simplify:  Simplify (asin (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (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))))))))
* [misc]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)))))))))
* [misc]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)))))))))
* [misc]backup-simplify:  Simplify (exp (- (* 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 (exp (- (* 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))))))))))
* [misc]backup-simplify:  Simplify (log (exp (- (* 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)))))))))
* [misc]taylor:  Taking taylor expansion of (log (exp (- (/ PI 2) (asin (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2)))))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (exp (- (/ PI 2) (asin (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (- (/ PI 2) (asin (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2)))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (/ PI 2) in phi2
* [misc]taylor:  Taking taylor expansion of PI in phi2
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ PI 2) into (* 1/2 PI)
* [misc]taylor:  Taking taylor expansion of (asin (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))))))) in phi2
* [misc]backup-simplify:  Simplify (asin (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (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))))))))
* [misc]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)))))))))
* [misc]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)))))))))
* [misc]backup-simplify:  Simplify (exp (- (* 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 (exp (- (* 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))))))))))
* [misc]backup-simplify:  Simplify (log (exp (- (* 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)))))))))
* [misc]taylor:  Taking taylor expansion of (log (exp (- (/ PI 2) (asin (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2)))))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (exp (- (/ PI 2) (asin (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (- (/ PI 2) (asin (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2)))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (/ PI 2) in phi2
* [misc]taylor:  Taking taylor expansion of PI in phi2
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ PI 2) into (* 1/2 PI)
* [misc]taylor:  Taking taylor expansion of (asin (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))))))) in phi2
* [misc]backup-simplify:  Simplify (asin (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (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))))))))
* [misc]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)))))))))
* [misc]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)))))))))
* [misc]backup-simplify:  Simplify (exp (- (* 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 (exp (- (* 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))))))))))
* [misc]backup-simplify:  Simplify (log (exp (- (* 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)))))))))
* [misc]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
* [misc]taylor:  Taking taylor expansion of (* 1/2 PI) in phi1
* [misc]taylor:  Taking taylor expansion of 1/2 in phi1
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of PI in phi1
* [misc]backup-simplify:  Simplify PI into PI
* [misc]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
* [misc]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))))))))
* [misc]backup-simplify:  Simplify (* 1/2 PI) into (* 1/2 PI)
* [misc]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)))))))))
* [misc]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)))))))))
* [misc]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
* [misc]taylor:  Taking taylor expansion of (* 1/2 PI) in lambda1
* [misc]taylor:  Taking taylor expansion of 1/2 in lambda1
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of PI in lambda1
* [misc]backup-simplify:  Simplify PI into PI
* [misc]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
* [misc]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))))))))
* [misc]backup-simplify:  Simplify (* 1/2 PI) into (* 1/2 PI)
* [misc]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)))))))))
* [misc]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)))))))))
* [misc]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
* [misc]taylor:  Taking taylor expansion of (* 1/2 PI) in lambda2
* [misc]taylor:  Taking taylor expansion of 1/2 in lambda2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of PI in lambda2
* [misc]backup-simplify:  Simplify PI into PI
* [misc]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
* [misc]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))))))))
* [misc]backup-simplify:  Simplify (* 1/2 PI) into (* 1/2 PI)
* [misc]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)))))))))
* [misc]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)))))))))
* [misc]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)))))))))
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (exp (- (* 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)))))))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (- (* 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)))) 1) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 PI)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 PI)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 PI)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (exp (- (* 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)))))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (- (* 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)))))))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (- (* 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)))) 2) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]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))))))
* [misc]approximate:  Taking taylor expansion of (log (exp (- (/ PI 2) (asin (+ (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2))))))))))) in (phi2 phi1 lambda1 lambda2) around 0
* [misc]taylor:  Taking taylor expansion of (log (exp (- (/ PI 2) (asin (+ (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2))))))))))) in lambda2
* [misc]taylor:  Taking taylor expansion of (exp (- (/ PI 2) (asin (+ (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))))))))) in lambda2
* [misc]taylor:  Taking taylor expansion of (- (/ PI 2) (asin (+ (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2))))))))) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ PI 2) in lambda2
* [misc]taylor:  Taking taylor expansion of PI in lambda2
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in lambda2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ PI 2) into (* 1/2 PI)
* [misc]taylor:  Taking taylor expansion of (asin (+ (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))))))) in lambda2
* [misc]backup-simplify:  Simplify (asin (+ (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (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))))))))
* [misc]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)))))))))
* [misc]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)))))))))
* [misc]backup-simplify:  Simplify (exp (- (* 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 (exp (- (* 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))))))))))
* [misc]backup-simplify:  Simplify (log (exp (- (* 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)))))))))
* [misc]taylor:  Taking taylor expansion of (log (exp (- (/ PI 2) (asin (+ (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2))))))))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (exp (- (/ PI 2) (asin (+ (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))))))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (- (/ PI 2) (asin (+ (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2))))))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ PI 2) in lambda1
* [misc]taylor:  Taking taylor expansion of PI in lambda1
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in lambda1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ PI 2) into (* 1/2 PI)
* [misc]taylor:  Taking taylor expansion of (asin (+ (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))))))) in lambda1
* [misc]backup-simplify:  Simplify (asin (+ (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (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))))))))
* [misc]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)))))))))
* [misc]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)))))))))
* [misc]backup-simplify:  Simplify (exp (- (* 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 (exp (- (* 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))))))))))
* [misc]backup-simplify:  Simplify (log (exp (- (* 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)))))))))
* [misc]taylor:  Taking taylor expansion of (log (exp (- (/ PI 2) (asin (+ (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2))))))))))) in phi1
* [misc]taylor:  Taking taylor expansion of (exp (- (/ PI 2) (asin (+ (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))))))))) in phi1
* [misc]taylor:  Taking taylor expansion of (- (/ PI 2) (asin (+ (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2))))))))) in phi1
* [misc]taylor:  Taking taylor expansion of (/ PI 2) in phi1
* [misc]taylor:  Taking taylor expansion of PI in phi1
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in phi1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ PI 2) into (* 1/2 PI)
* [misc]taylor:  Taking taylor expansion of (asin (+ (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))))))) in phi1
* [misc]backup-simplify:  Simplify (asin (+ (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (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))))))))
* [misc]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)))))))))
* [misc]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)))))))))
* [misc]backup-simplify:  Simplify (exp (- (* 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 (exp (- (* 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))))))))))
* [misc]backup-simplify:  Simplify (log (exp (- (* 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)))))))))
* [misc]taylor:  Taking taylor expansion of (log (exp (- (/ PI 2) (asin (+ (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2))))))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (exp (- (/ PI 2) (asin (+ (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (- (/ PI 2) (asin (+ (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2))))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (/ PI 2) in phi2
* [misc]taylor:  Taking taylor expansion of PI in phi2
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ PI 2) into (* 1/2 PI)
* [misc]taylor:  Taking taylor expansion of (asin (+ (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))))))) in phi2
* [misc]backup-simplify:  Simplify (asin (+ (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (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))))))))
* [misc]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)))))))))
* [misc]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)))))))))
* [misc]backup-simplify:  Simplify (exp (- (* 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 (exp (- (* 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))))))))))
* [misc]backup-simplify:  Simplify (log (exp (- (* 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)))))))))
* [misc]taylor:  Taking taylor expansion of (log (exp (- (/ PI 2) (asin (+ (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2))))))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (exp (- (/ PI 2) (asin (+ (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (- (/ PI 2) (asin (+ (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2))))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (/ PI 2) in phi2
* [misc]taylor:  Taking taylor expansion of PI in phi2
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ PI 2) into (* 1/2 PI)
* [misc]taylor:  Taking taylor expansion of (asin (+ (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))))))) in phi2
* [misc]backup-simplify:  Simplify (asin (+ (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (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))))))))
* [misc]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)))))))))
* [misc]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)))))))))
* [misc]backup-simplify:  Simplify (exp (- (* 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 (exp (- (* 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))))))))))
* [misc]backup-simplify:  Simplify (log (exp (- (* 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)))))))))
* [misc]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
* [misc]taylor:  Taking taylor expansion of (* 1/2 PI) in phi1
* [misc]taylor:  Taking taylor expansion of 1/2 in phi1
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of PI in phi1
* [misc]backup-simplify:  Simplify PI into PI
* [misc]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
* [misc]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))))))))
* [misc]backup-simplify:  Simplify (* 1/2 PI) into (* 1/2 PI)
* [misc]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)))))))))
* [misc]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)))))))))
* [misc]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
* [misc]taylor:  Taking taylor expansion of (* 1/2 PI) in lambda1
* [misc]taylor:  Taking taylor expansion of 1/2 in lambda1
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of PI in lambda1
* [misc]backup-simplify:  Simplify PI into PI
* [misc]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
* [misc]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))))))))
* [misc]backup-simplify:  Simplify (* 1/2 PI) into (* 1/2 PI)
* [misc]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)))))))))
* [misc]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)))))))))
* [misc]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
* [misc]taylor:  Taking taylor expansion of (* 1/2 PI) in lambda2
* [misc]taylor:  Taking taylor expansion of 1/2 in lambda2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of PI in lambda2
* [misc]backup-simplify:  Simplify PI into PI
* [misc]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
* [misc]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))))))))
* [misc]backup-simplify:  Simplify (* 1/2 PI) into (* 1/2 PI)
* [misc]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)))))))))
* [misc]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)))))))))
* [misc]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)))))))))
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (exp (- (* 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)))))))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (- (* 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)))) 1) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 PI)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 PI)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 PI)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (exp (- (* 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)))))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (- (* 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)))))))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (- (* 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)))) 2) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]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 (- phi2)))) (cos (/ -1 (/ 1 (- lambda2))))))))))) 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))))))
* * * * [misc]progress:  [ 3 / 4 ] generating series at (2 1 1 1 2)
* [misc]approximate:  Taking taylor expansion of (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))) in (phi2 phi1 lambda1 lambda2) around 0
* [misc]taylor:  Taking taylor expansion of (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))) in lambda2
* [misc]backup-simplify:  Simplify (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
* [misc]taylor:  Taking taylor expansion of (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))) in lambda1
* [misc]backup-simplify:  Simplify (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
* [misc]taylor:  Taking taylor expansion of (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))) in phi1
* [misc]backup-simplify:  Simplify (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
* [misc]taylor:  Taking taylor expansion of (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))) in phi2
* [misc]backup-simplify:  Simplify (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
* [misc]taylor:  Taking taylor expansion of (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))) in phi2
* [misc]backup-simplify:  Simplify (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
* [misc]taylor:  Taking taylor expansion of (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1
* [misc]backup-simplify:  Simplify (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
* [misc]taylor:  Taking taylor expansion of (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1
* [misc]backup-simplify:  Simplify (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
* [misc]taylor:  Taking taylor expansion of (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2
* [misc]backup-simplify:  Simplify (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
* [misc]backup-simplify:  Simplify (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
* [misc]taylor:  Taking taylor expansion of 0 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
* [misc]approximate:  Taking taylor expansion of (asin (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))))))) in (phi2 phi1 lambda1 lambda2) around 0
* [misc]taylor:  Taking taylor expansion of (asin (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))))))) in lambda2
* [misc]backup-simplify:  Simplify (asin (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (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))))))))
* [misc]taylor:  Taking taylor expansion of (asin (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))))))) in lambda1
* [misc]backup-simplify:  Simplify (asin (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (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))))))))
* [misc]taylor:  Taking taylor expansion of (asin (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))))))) in phi1
* [misc]backup-simplify:  Simplify (asin (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (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))))))))
* [misc]taylor:  Taking taylor expansion of (asin (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))))))) in phi2
* [misc]backup-simplify:  Simplify (asin (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (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))))))))
* [misc]taylor:  Taking taylor expansion of (asin (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))))))) in phi2
* [misc]backup-simplify:  Simplify (asin (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (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))))))))
* [misc]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
* [misc]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))))))))
* [misc]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
* [misc]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))))))))
* [misc]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
* [misc]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))))))))
* [misc]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))))))))
* [misc]taylor:  Taking taylor expansion of 0 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]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)))))
* [misc]approximate:  Taking taylor expansion of (asin (+ (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))))))) in (phi2 phi1 lambda1 lambda2) around 0
* [misc]taylor:  Taking taylor expansion of (asin (+ (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))))))) in lambda2
* [misc]backup-simplify:  Simplify (asin (+ (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (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))))))))
* [misc]taylor:  Taking taylor expansion of (asin (+ (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))))))) in lambda1
* [misc]backup-simplify:  Simplify (asin (+ (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (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))))))))
* [misc]taylor:  Taking taylor expansion of (asin (+ (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))))))) in phi1
* [misc]backup-simplify:  Simplify (asin (+ (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (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))))))))
* [misc]taylor:  Taking taylor expansion of (asin (+ (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))))))) in phi2
* [misc]backup-simplify:  Simplify (asin (+ (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (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))))))))
* [misc]taylor:  Taking taylor expansion of (asin (+ (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))))))) in phi2
* [misc]backup-simplify:  Simplify (asin (+ (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (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))))))))
* [misc]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
* [misc]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))))))))
* [misc]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
* [misc]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))))))))
* [misc]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
* [misc]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))))))))
* [misc]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))))))))
* [misc]taylor:  Taking taylor expansion of 0 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]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 (- phi2)))) (cos (/ -1 (/ 1 (- lambda2)))))))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
* * * * [misc]progress:  [ 4 / 4 ] generating series at (2 1 1)
* [misc]approximate:  Taking taylor expansion of (exp (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))) in (phi2 phi1 lambda1 lambda2) around 0
* [misc]taylor:  Taking taylor expansion of (exp (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))) in lambda2
* [misc]taylor:  Taking taylor expansion of (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ PI 2) in lambda2
* [misc]taylor:  Taking taylor expansion of PI in lambda2
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in lambda2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ PI 2) into (* 1/2 PI)
* [misc]taylor:  Taking taylor expansion of (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))) in lambda2
* [misc]backup-simplify:  Simplify (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
* [misc]backup-simplify:  Simplify (- (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (- (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
* [misc]backup-simplify:  Simplify (+ (* 1/2 PI) (- (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin 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))))))
* [misc]backup-simplify:  Simplify (exp (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into (exp (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))))
* [misc]taylor:  Taking taylor expansion of (exp (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ PI 2) in lambda1
* [misc]taylor:  Taking taylor expansion of PI in lambda1
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in lambda1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ PI 2) into (* 1/2 PI)
* [misc]taylor:  Taking taylor expansion of (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))) in lambda1
* [misc]backup-simplify:  Simplify (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
* [misc]backup-simplify:  Simplify (- (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (- (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
* [misc]backup-simplify:  Simplify (+ (* 1/2 PI) (- (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin 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))))))
* [misc]backup-simplify:  Simplify (exp (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into (exp (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))))
* [misc]taylor:  Taking taylor expansion of (exp (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))) in phi1
* [misc]taylor:  Taking taylor expansion of (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))) in phi1
* [misc]taylor:  Taking taylor expansion of (/ PI 2) in phi1
* [misc]taylor:  Taking taylor expansion of PI in phi1
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in phi1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ PI 2) into (* 1/2 PI)
* [misc]taylor:  Taking taylor expansion of (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))) in phi1
* [misc]backup-simplify:  Simplify (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
* [misc]backup-simplify:  Simplify (- (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (- (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
* [misc]backup-simplify:  Simplify (+ (* 1/2 PI) (- (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin 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))))))
* [misc]backup-simplify:  Simplify (exp (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into (exp (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))))
* [misc]taylor:  Taking taylor expansion of (exp (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (/ PI 2) in phi2
* [misc]taylor:  Taking taylor expansion of PI in phi2
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ PI 2) into (* 1/2 PI)
* [misc]taylor:  Taking taylor expansion of (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))) in phi2
* [misc]backup-simplify:  Simplify (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
* [misc]backup-simplify:  Simplify (- (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (- (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
* [misc]backup-simplify:  Simplify (+ (* 1/2 PI) (- (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin 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))))))
* [misc]backup-simplify:  Simplify (exp (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into (exp (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))))
* [misc]taylor:  Taking taylor expansion of (exp (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (/ PI 2) in phi2
* [misc]taylor:  Taking taylor expansion of PI in phi2
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ PI 2) into (* 1/2 PI)
* [misc]taylor:  Taking taylor expansion of (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))) in phi2
* [misc]backup-simplify:  Simplify (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
* [misc]backup-simplify:  Simplify (- (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (- (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
* [misc]backup-simplify:  Simplify (+ (* 1/2 PI) (- (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin 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))))))
* [misc]backup-simplify:  Simplify (exp (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into (exp (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))))
* [misc]taylor:  Taking taylor expansion of (exp (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) in phi1
* [misc]taylor:  Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi1
* [misc]taylor:  Taking taylor expansion of (* 1/2 PI) in phi1
* [misc]taylor:  Taking taylor expansion of 1/2 in phi1
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of PI in phi1
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1
* [misc]backup-simplify:  Simplify (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
* [misc]backup-simplify:  Simplify (* 1/2 PI) into (* 1/2 PI)
* [misc]backup-simplify:  Simplify (- (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (- (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
* [misc]backup-simplify:  Simplify (+ (* 1/2 PI) (- (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin 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))))))
* [misc]backup-simplify:  Simplify (exp (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into (exp (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))))
* [misc]taylor:  Taking taylor expansion of (exp (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* 1/2 PI) in lambda1
* [misc]taylor:  Taking taylor expansion of 1/2 in lambda1
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of PI in lambda1
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1
* [misc]backup-simplify:  Simplify (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
* [misc]backup-simplify:  Simplify (* 1/2 PI) into (* 1/2 PI)
* [misc]backup-simplify:  Simplify (- (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (- (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
* [misc]backup-simplify:  Simplify (+ (* 1/2 PI) (- (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin 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))))))
* [misc]backup-simplify:  Simplify (exp (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into (exp (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))))
* [misc]taylor:  Taking taylor expansion of (exp (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) in lambda2
* [misc]taylor:  Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* 1/2 PI) in lambda2
* [misc]taylor:  Taking taylor expansion of 1/2 in lambda2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of PI in lambda2
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2
* [misc]backup-simplify:  Simplify (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
* [misc]backup-simplify:  Simplify (* 1/2 PI) into (* 1/2 PI)
* [misc]backup-simplify:  Simplify (- (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (- (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
* [misc]backup-simplify:  Simplify (+ (* 1/2 PI) (- (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin 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))))))
* [misc]backup-simplify:  Simplify (exp (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into (exp (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))))
* [misc]backup-simplify:  Simplify (exp (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into (exp (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))))
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (exp (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 PI)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (exp (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 PI)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (exp (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 PI)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (exp (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (exp (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (exp (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into (exp (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))))
* [misc]approximate:  Taking taylor expansion of (exp (- (/ PI 2) (asin (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))))))))) in (phi2 phi1 lambda1 lambda2) around 0
* [misc]taylor:  Taking taylor expansion of (exp (- (/ PI 2) (asin (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))))))))) in lambda2
* [misc]taylor:  Taking taylor expansion of (- (/ PI 2) (asin (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2)))))))) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ PI 2) in lambda2
* [misc]taylor:  Taking taylor expansion of PI in lambda2
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in lambda2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ PI 2) into (* 1/2 PI)
* [misc]taylor:  Taking taylor expansion of (asin (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))))))) in lambda2
* [misc]backup-simplify:  Simplify (asin (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (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))))))))
* [misc]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)))))))))
* [misc]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)))))))))
* [misc]backup-simplify:  Simplify (exp (- (* 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 (exp (- (* 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))))))))))
* [misc]taylor:  Taking taylor expansion of (exp (- (/ PI 2) (asin (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))))))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (- (/ PI 2) (asin (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2)))))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ PI 2) in lambda1
* [misc]taylor:  Taking taylor expansion of PI in lambda1
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in lambda1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ PI 2) into (* 1/2 PI)
* [misc]taylor:  Taking taylor expansion of (asin (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))))))) in lambda1
* [misc]backup-simplify:  Simplify (asin (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (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))))))))
* [misc]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)))))))))
* [misc]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)))))))))
* [misc]backup-simplify:  Simplify (exp (- (* 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 (exp (- (* 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))))))))))
* [misc]taylor:  Taking taylor expansion of (exp (- (/ PI 2) (asin (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))))))))) in phi1
* [misc]taylor:  Taking taylor expansion of (- (/ PI 2) (asin (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2)))))))) in phi1
* [misc]taylor:  Taking taylor expansion of (/ PI 2) in phi1
* [misc]taylor:  Taking taylor expansion of PI in phi1
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in phi1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ PI 2) into (* 1/2 PI)
* [misc]taylor:  Taking taylor expansion of (asin (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))))))) in phi1
* [misc]backup-simplify:  Simplify (asin (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (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))))))))
* [misc]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)))))))))
* [misc]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)))))))))
* [misc]backup-simplify:  Simplify (exp (- (* 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 (exp (- (* 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))))))))))
* [misc]taylor:  Taking taylor expansion of (exp (- (/ PI 2) (asin (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (- (/ PI 2) (asin (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2)))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (/ PI 2) in phi2
* [misc]taylor:  Taking taylor expansion of PI in phi2
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ PI 2) into (* 1/2 PI)
* [misc]taylor:  Taking taylor expansion of (asin (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))))))) in phi2
* [misc]backup-simplify:  Simplify (asin (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (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))))))))
* [misc]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)))))))))
* [misc]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)))))))))
* [misc]backup-simplify:  Simplify (exp (- (* 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 (exp (- (* 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))))))))))
* [misc]taylor:  Taking taylor expansion of (exp (- (/ PI 2) (asin (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (- (/ PI 2) (asin (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2)))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (/ PI 2) in phi2
* [misc]taylor:  Taking taylor expansion of PI in phi2
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ PI 2) into (* 1/2 PI)
* [misc]taylor:  Taking taylor expansion of (asin (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))))))) in phi2
* [misc]backup-simplify:  Simplify (asin (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (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))))))))
* [misc]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)))))))))
* [misc]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)))))))))
* [misc]backup-simplify:  Simplify (exp (- (* 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 (exp (- (* 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))))))))))
* [misc]taylor:  Taking taylor expansion of (exp (- (* 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
* [misc]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
* [misc]taylor:  Taking taylor expansion of (* 1/2 PI) in phi1
* [misc]taylor:  Taking taylor expansion of 1/2 in phi1
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of PI in phi1
* [misc]backup-simplify:  Simplify PI into PI
* [misc]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
* [misc]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))))))))
* [misc]backup-simplify:  Simplify (* 1/2 PI) into (* 1/2 PI)
* [misc]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)))))))))
* [misc]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)))))))))
* [misc]backup-simplify:  Simplify (exp (- (* 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 (exp (- (* 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))))))))))
* [misc]taylor:  Taking taylor expansion of (exp (- (* 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
* [misc]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
* [misc]taylor:  Taking taylor expansion of (* 1/2 PI) in lambda1
* [misc]taylor:  Taking taylor expansion of 1/2 in lambda1
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of PI in lambda1
* [misc]backup-simplify:  Simplify PI into PI
* [misc]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
* [misc]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))))))))
* [misc]backup-simplify:  Simplify (* 1/2 PI) into (* 1/2 PI)
* [misc]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)))))))))
* [misc]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)))))))))
* [misc]backup-simplify:  Simplify (exp (- (* 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 (exp (- (* 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))))))))))
* [misc]taylor:  Taking taylor expansion of (exp (- (* 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
* [misc]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
* [misc]taylor:  Taking taylor expansion of (* 1/2 PI) in lambda2
* [misc]taylor:  Taking taylor expansion of 1/2 in lambda2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of PI in lambda2
* [misc]backup-simplify:  Simplify PI into PI
* [misc]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
* [misc]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))))))))
* [misc]backup-simplify:  Simplify (* 1/2 PI) into (* 1/2 PI)
* [misc]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)))))))))
* [misc]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)))))))))
* [misc]backup-simplify:  Simplify (exp (- (* 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 (exp (- (* 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))))))))))
* [misc]backup-simplify:  Simplify (exp (- (* 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 (exp (- (* 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))))))))))
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (exp (- (* 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)))))))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 PI)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (exp (- (* 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)))))))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 PI)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (exp (- (* 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)))))))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 PI)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (exp (- (* 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)))))))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (exp (- (* 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)))))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (exp (- (* 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 (exp (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))))
* [misc]approximate:  Taking taylor expansion of (exp (- (/ PI 2) (asin (+ (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))))))))) in (phi2 phi1 lambda1 lambda2) around 0
* [misc]taylor:  Taking taylor expansion of (exp (- (/ PI 2) (asin (+ (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))))))))) in lambda2
* [misc]taylor:  Taking taylor expansion of (- (/ PI 2) (asin (+ (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2))))))))) in lambda2
* [misc]taylor:  Taking taylor expansion of (/ PI 2) in lambda2
* [misc]taylor:  Taking taylor expansion of PI in lambda2
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in lambda2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ PI 2) into (* 1/2 PI)
* [misc]taylor:  Taking taylor expansion of (asin (+ (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))))))) in lambda2
* [misc]backup-simplify:  Simplify (asin (+ (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (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))))))))
* [misc]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)))))))))
* [misc]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)))))))))
* [misc]backup-simplify:  Simplify (exp (- (* 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 (exp (- (* 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))))))))))
* [misc]taylor:  Taking taylor expansion of (exp (- (/ PI 2) (asin (+ (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))))))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (- (/ PI 2) (asin (+ (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2))))))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (/ PI 2) in lambda1
* [misc]taylor:  Taking taylor expansion of PI in lambda1
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in lambda1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ PI 2) into (* 1/2 PI)
* [misc]taylor:  Taking taylor expansion of (asin (+ (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))))))) in lambda1
* [misc]backup-simplify:  Simplify (asin (+ (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (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))))))))
* [misc]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)))))))))
* [misc]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)))))))))
* [misc]backup-simplify:  Simplify (exp (- (* 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 (exp (- (* 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))))))))))
* [misc]taylor:  Taking taylor expansion of (exp (- (/ PI 2) (asin (+ (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))))))))) in phi1
* [misc]taylor:  Taking taylor expansion of (- (/ PI 2) (asin (+ (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2))))))))) in phi1
* [misc]taylor:  Taking taylor expansion of (/ PI 2) in phi1
* [misc]taylor:  Taking taylor expansion of PI in phi1
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in phi1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ PI 2) into (* 1/2 PI)
* [misc]taylor:  Taking taylor expansion of (asin (+ (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))))))) in phi1
* [misc]backup-simplify:  Simplify (asin (+ (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (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))))))))
* [misc]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)))))))))
* [misc]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)))))))))
* [misc]backup-simplify:  Simplify (exp (- (* 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 (exp (- (* 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))))))))))
* [misc]taylor:  Taking taylor expansion of (exp (- (/ PI 2) (asin (+ (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (- (/ PI 2) (asin (+ (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2))))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (/ PI 2) in phi2
* [misc]taylor:  Taking taylor expansion of PI in phi2
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ PI 2) into (* 1/2 PI)
* [misc]taylor:  Taking taylor expansion of (asin (+ (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))))))) in phi2
* [misc]backup-simplify:  Simplify (asin (+ (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (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))))))))
* [misc]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)))))))))
* [misc]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)))))))))
* [misc]backup-simplify:  Simplify (exp (- (* 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 (exp (- (* 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))))))))))
* [misc]taylor:  Taking taylor expansion of (exp (- (/ PI 2) (asin (+ (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (- (/ PI 2) (asin (+ (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2))))))))) in phi2
* [misc]taylor:  Taking taylor expansion of (/ PI 2) in phi2
* [misc]taylor:  Taking taylor expansion of PI in phi2
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of 2 in phi2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ PI 2) into (* 1/2 PI)
* [misc]taylor:  Taking taylor expansion of (asin (+ (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))))))) in phi2
* [misc]backup-simplify:  Simplify (asin (+ (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (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))))))))
* [misc]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)))))))))
* [misc]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)))))))))
* [misc]backup-simplify:  Simplify (exp (- (* 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 (exp (- (* 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))))))))))
* [misc]taylor:  Taking taylor expansion of (exp (- (* 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 phi1
* [misc]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 phi1
* [misc]taylor:  Taking taylor expansion of (* 1/2 PI) in phi1
* [misc]taylor:  Taking taylor expansion of 1/2 in phi1
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of PI in phi1
* [misc]backup-simplify:  Simplify PI into PI
* [misc]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 phi1
* [misc]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))))))))
* [misc]backup-simplify:  Simplify (* 1/2 PI) into (* 1/2 PI)
* [misc]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)))))))))
* [misc]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)))))))))
* [misc]backup-simplify:  Simplify (exp (- (* 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 (exp (- (* 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))))))))))
* [misc]taylor:  Taking taylor expansion of (exp (- (* 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
* [misc]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
* [misc]taylor:  Taking taylor expansion of (* 1/2 PI) in lambda1
* [misc]taylor:  Taking taylor expansion of 1/2 in lambda1
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of PI in lambda1
* [misc]backup-simplify:  Simplify PI into PI
* [misc]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
* [misc]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))))))))
* [misc]backup-simplify:  Simplify (* 1/2 PI) into (* 1/2 PI)
* [misc]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)))))))))
* [misc]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)))))))))
* [misc]backup-simplify:  Simplify (exp (- (* 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 (exp (- (* 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))))))))))
* [misc]taylor:  Taking taylor expansion of (exp (- (* 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 lambda2
* [misc]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 lambda2
* [misc]taylor:  Taking taylor expansion of (* 1/2 PI) in lambda2
* [misc]taylor:  Taking taylor expansion of 1/2 in lambda2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of PI in lambda2
* [misc]backup-simplify:  Simplify PI into PI
* [misc]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 lambda2
* [misc]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))))))))
* [misc]backup-simplify:  Simplify (* 1/2 PI) into (* 1/2 PI)
* [misc]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)))))))))
* [misc]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)))))))))
* [misc]backup-simplify:  Simplify (exp (- (* 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 (exp (- (* 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))))))))))
* [misc]backup-simplify:  Simplify (exp (- (* 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 (exp (- (* 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))))))))))
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (exp (- (* 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)))))))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 PI)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (exp (- (* 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)))))))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 PI)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (exp (- (* 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)))))))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 PI)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (exp (- (* 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)))))))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (exp (- (* 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)))))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in lambda2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (exp (- (* 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)))))))))))) into (exp (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))))
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (log (/ (exp (/ PI 2)) (exp (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))))))) R))>
* [enter]simplify:  Simplifying (/ (exp (/ PI 2)) (exp (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (99 enodes)
* * [misc]simplify:  iters left: 3 (171 enodes)
* * [misc]simplify:  iters left: 2 (238 enodes)
* * [misc]simplify:  iters left: 1 (244 enodes)
* [exit]simplify:  Simplified to (exp (- (/ PI 2) (asin (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (* (sin phi1) (sin phi2))))))
* [misc]simplify:  Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (log (exp (- (/ PI 2) (asin (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (* (sin phi1) (sin phi2))))))))) R))
* * * * [misc]progress:  [ 2 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (pow (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))) 1))) R))>
* * * * [misc]progress:  [ 3 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (exp (log (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))))))) R))>
* * * * [misc]progress:  [ 4 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (log (exp (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))))))) R))>
* * * * [misc]progress:  [ 5 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (* (* (cbrt (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))) (cbrt (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))))) (cbrt (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))))))) R))>
* * * * [misc]progress:  [ 6 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (cbrt (* (* (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))) (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))) (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))))))) R))>
* * * * [misc]progress:  [ 7 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (* (sqrt (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))) (sqrt (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))))))) R))>
* * * * [misc]progress:  [ 8 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (/ (- (pow (/ PI 2) 3) (pow (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))) 3)) (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))) (* (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))))))) R))>
* * * * [misc]progress:  [ 9 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (+ (/ PI 2) (- (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))))) R))>
* * * * [misc]progress:  [ 10 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (* 1 (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))))) R))>
* * * * [misc]progress:  [ 11 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (/ (- (* (/ PI 2) (/ PI 2)) (* (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))) (+ (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))))) R))>
* * * * [misc]progress:  [ 12 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (* (+ (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))) (- (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))))))) R))>
* [enter]simplify:  Simplifying (+ (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (94 enodes)
* * [misc]simplify:  iters left: 3 (163 enodes)
* * [misc]simplify:  iters left: 2 (221 enodes)
* [exit]simplify:  Simplified to (+ (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))))))))
* [misc]simplify:  Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (* (+ (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))))))) (- (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))))))) R))
* [enter]simplify:  Simplifying (- (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (43 enodes)
* * [misc]simplify:  iters left: 4 (96 enodes)
* * [misc]simplify:  iters left: 3 (166 enodes)
* * [misc]simplify:  iters left: 2 (224 enodes)
* [exit]simplify:  Simplified to (- (sqrt (/ PI 2)) (sqrt (asin (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (* (sin phi1) (sin phi2))))))
* [misc]simplify:  Simplified (2 1 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (* (+ (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))) (- (sqrt (/ PI 2)) (sqrt (asin (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (* (sin phi1) (sin phi2))))))))) R))
* * * * [misc]progress:  [ 13 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (* 1 (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))))) R))>
* [enter]simplify:  Simplifying (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (94 enodes)
* * [misc]simplify:  iters left: 3 (164 enodes)
* * [misc]simplify:  iters left: 2 (222 enodes)
* [exit]simplify:  Simplified to (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
* [misc]simplify:  Simplified (2 1 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (* 1 (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))))) R))
* * * * [misc]progress:  [ 14 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (+ (- (/ PI 2) (/ PI 2)) (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))))) R))>
* [enter]simplify:  Simplifying (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (87 enodes)
* * [misc]simplify:  iters left: 3 (156 enodes)
* * [misc]simplify:  iters left: 2 (214 enodes)
* [exit]simplify:  Simplified to (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))
* [misc]simplify:  Simplified (2 1 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (+ (- (/ PI 2) (/ PI 2)) (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))))) R))
* * * * [misc]progress:  [ 15 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (+ (/ PI 2) (- (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))))) R))>
* * * * [misc]progress:  [ 16 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (+ (log (exp (/ PI 2))) (log (exp (- (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))))) R))>
* [enter]simplify:  Simplifying (log (exp (/ PI 2)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* [exit]simplify:  Simplified to (/ PI 2)
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (+ (/ PI 2) (log (exp (- (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))))) R))
* * * * [misc]progress:  [ 17 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (+ (log (exp (- (/ PI 2) (/ PI 2)))) (log (exp (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))))) R))>
* [enter]simplify:  Simplifying (log (exp (- (/ PI 2) (/ PI 2))))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* [exit]simplify:  Simplified to 0
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (+ 0 (log (exp (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))))) R))
* * * * [misc]progress:  [ 18 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (+ (log (exp (/ PI 2))) (log (exp (- (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))))) R))>
* [enter]simplify:  Simplifying (log (exp (/ PI 2)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* [exit]simplify:  Simplified to (/ PI 2)
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (+ (/ PI 2) (log (exp (- (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))))) R))
* * * * [misc]progress:  [ 19 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (+ (log (* (cbrt (exp (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))))) (cbrt (exp (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))))))) (log (cbrt (exp (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))))))) R))>
* [enter]simplify:  Simplifying (log (* (cbrt (exp (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))))) (cbrt (exp (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))))))
* * [misc]simplify:  iters left: 6 (28 enodes)
* * [misc]simplify:  iters left: 5 (50 enodes)
* * [misc]simplify:  iters left: 4 (107 enodes)
* * [misc]simplify:  iters left: 3 (178 enodes)
* * [misc]simplify:  iters left: 2 (252 enodes)
* * [misc]simplify:  iters left: 1 (258 enodes)
* [exit]simplify:  Simplified to (+ (log (cbrt (exp (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))))) (log (cbrt (exp (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (+ (+ (log (cbrt (exp (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))))) (log (cbrt (exp (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))))))) (log (cbrt (exp (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))))))) R))
* * * * [misc]progress:  [ 20 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (+ (log (sqrt (exp (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))))) (log (sqrt (exp (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))))))) R))>
* [enter]simplify:  Simplifying (log (sqrt (exp (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))))))
* * [misc]simplify:  iters left: 6 (27 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (104 enodes)
* * [misc]simplify:  iters left: 3 (176 enodes)
* * [misc]simplify:  iters left: 2 (244 enodes)
* * [misc]simplify:  iters left: 1 (250 enodes)
* [exit]simplify:  Simplified to (log (sqrt (exp (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (+ (log (sqrt (exp (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))))) (log (sqrt (exp (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))))))) R))
* * * * [misc]progress:  [ 21 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (+ (log 1) (log (exp (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))))) R))>
* [enter]simplify:  Simplifying (log 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (log 1)
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (+ (log 1) (log (exp (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))))) R))
* * * * [misc]progress:  [ 22 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (log (exp (/ PI 2))) (log (exp (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))))) R))>
* [enter]simplify:  Simplifying (log (exp (/ PI 2)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* [exit]simplify:  Simplified to (/ PI 2)
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (log (exp (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))))) R))
* * * * [misc]progress:  [ 23 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* 1 (log (exp (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))))) R))>
* * * * [misc]progress:  [ 24 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))) (log (exp (* (cbrt (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))) (cbrt (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))))))) R))>
* [enter]simplify:  Simplifying (cbrt (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))))
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (95 enodes)
* * [misc]simplify:  iters left: 3 (165 enodes)
* * [misc]simplify:  iters left: 2 (223 enodes)
* [exit]simplify:  Simplified to (cbrt (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) (log (exp (* (cbrt (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))) (cbrt (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))))))) R))
* * * * [misc]progress:  [ 25 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))) (log (exp (sqrt (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))))))) R))>
* [enter]simplify:  Simplifying (sqrt (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))))
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (95 enodes)
* * [misc]simplify:  iters left: 3 (165 enodes)
* * [misc]simplify:  iters left: 2 (223 enodes)
* [exit]simplify:  Simplified to (sqrt (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) (log (exp (sqrt (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))))))) R))
* * * * [misc]progress:  [ 26 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))) (log (exp 1))) R))>
* [enter]simplify:  Simplifying (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (94 enodes)
* * [misc]simplify:  iters left: 3 (164 enodes)
* * [misc]simplify:  iters left: 2 (222 enodes)
* [exit]simplify:  Simplified to (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) (log (exp 1))) R))
* * * * [misc]progress:  [ 27 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (- (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))) (log (exp (+ (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))))))) R))>
* [enter]simplify:  Simplifying (- (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (43 enodes)
* * [misc]simplify:  iters left: 4 (96 enodes)
* * [misc]simplify:  iters left: 3 (166 enodes)
* * [misc]simplify:  iters left: 2 (224 enodes)
* [exit]simplify:  Simplified to (- (sqrt (/ PI 2)) (sqrt (asin (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (* (sin phi1) (sin phi2))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (- (sqrt (/ PI 2)) (sqrt (asin (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (* (sin phi1) (sin phi2)))))) (log (exp (+ (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))))))) R))
* * * * [misc]progress:  [ 28 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))) (log (exp 1))) R))>
* [enter]simplify:  Simplifying (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (94 enodes)
* * [misc]simplify:  iters left: 3 (164 enodes)
* * [misc]simplify:  iters left: 2 (222 enodes)
* [exit]simplify:  Simplified to (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) (log (exp 1))) R))
* * * * [misc]progress:  [ 29 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (pow (log (exp (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))))) 1) R))>
* * * * [misc]progress:  [ 30 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))) R))>
* [enter]simplify:  Simplifying (/ PI 2)
* * [misc]simplify:  iters left: 2 (3 enodes)
* [exit]simplify:  Simplified to (/ PI 2)
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))) R))
* * * * [misc]progress:  [ 31 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (exp (log (log (exp (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))))))) R))>
* * * * [misc]progress:  [ 32 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (log (exp (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))))))) R))>
* * * * [misc]progress:  [ 33 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (* (cbrt (log (exp (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))))) (cbrt (log (exp (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))))))) (cbrt (log (exp (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))))))) R))>
* * * * [misc]progress:  [ 34 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (cbrt (* (* (log (exp (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))))) (log (exp (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))))) (log (exp (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))))))) R))>
* * * * [misc]progress:  [ 35 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (log (exp (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))))) (sqrt (log (exp (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))))))) R))>
* * * * [misc]progress:  [ 36 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* 1 (log (exp (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))))) R))>
* * * * [misc]progress:  [ 37 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (- (/ PI 2) (- (/ PI 2) (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))))) R))>
* * * * [misc]progress:  [ 38 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (- (/ PI 2) (pow (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))) 1)))) R))>
* * * * [misc]progress:  [ 39 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (- (/ PI 2) (exp (log (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))))))) R))>
* * * * [misc]progress:  [ 40 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (- (/ PI 2) (log (exp (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))))))) R))>
* * * * [misc]progress:  [ 41 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (- (/ PI 2) (* (* (cbrt (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))) (cbrt (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))) (cbrt (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))))))) R))>
* * * * [misc]progress:  [ 42 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (- (/ PI 2) (cbrt (* (* (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))))))) R))>
* * * * [misc]progress:  [ 43 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (- (/ PI 2) (* (sqrt (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))) (sqrt (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))))))) R))>
* * * * [misc]progress:  [ 44 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (- (/ PI 2) (* 1 (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))))) R))>
* * * * [misc]progress:  [ 45 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (pow (exp (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))) 1)) R))>
* * * * [misc]progress:  [ 46 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (pow (exp (* (cbrt (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))) (cbrt (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))))) (cbrt (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))))) R))>
* [enter]simplify:  Simplifying (exp (* (cbrt (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))) (cbrt (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))))))
* * [misc]simplify:  iters left: 6 (27 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (99 enodes)
* * [misc]simplify:  iters left: 3 (169 enodes)
* * [misc]simplify:  iters left: 2 (231 enodes)
* * [misc]simplify:  iters left: 1 (233 enodes)
* [exit]simplify:  Simplified to (exp (* (cbrt (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) (cbrt (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (log (pow (exp (* (cbrt (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))) (cbrt (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))))) (cbrt (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))))) R))
* * * * [misc]progress:  [ 47 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (pow (exp (sqrt (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))))) (sqrt (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))))) R))>
* [enter]simplify:  Simplifying (exp (sqrt (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (43 enodes)
* * [misc]simplify:  iters left: 4 (96 enodes)
* * [misc]simplify:  iters left: 3 (167 enodes)
* * [misc]simplify:  iters left: 2 (228 enodes)
* * [misc]simplify:  iters left: 1 (229 enodes)
* [exit]simplify:  Simplified to (exp (sqrt (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (log (pow (exp (sqrt (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))))) (sqrt (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))))) R))
* * * * [misc]progress:  [ 48 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (pow (exp 1) (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))))) R))>
* [enter]simplify:  Simplifying (exp 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to E
* [misc]simplify:  Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (log (pow E (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))))) R))
* * * * [misc]progress:  [ 49 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (pow (exp (+ (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))))) (- (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))))) R))>
* [enter]simplify:  Simplifying (exp (+ (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))))
* * [misc]simplify:  iters left: 6 (27 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (99 enodes)
* * [misc]simplify:  iters left: 3 (168 enodes)
* * [misc]simplify:  iters left: 2 (226 enodes)
* [exit]simplify:  Simplified to (exp (+ (sqrt (/ PI 2)) (sqrt (asin (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (* (sin phi1) (sin phi2)))))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (log (pow (exp (+ (sqrt (/ PI 2)) (sqrt (asin (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (* (sin phi1) (sin phi2))))))) (- (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))))) R))
* * * * [misc]progress:  [ 50 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (pow (exp 1) (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))))) R))>
* [enter]simplify:  Simplifying (exp 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to E
* [misc]simplify:  Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (log (pow E (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))))) R))
* * * * [misc]progress:  [ 51 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (* (exp (/ PI 2)) (exp (- (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))))) R))>
* [enter]simplify:  Simplifying (exp (/ PI 2))
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (6 enodes)
* [exit]simplify:  Simplified to (sqrt (exp PI))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (log (* (sqrt (exp PI)) (exp (- (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))))) R))
* * * * [misc]progress:  [ 52 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (* (exp (- (/ PI 2) (/ PI 2))) (exp (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))))) R))>
* [enter]simplify:  Simplifying (exp (- (/ PI 2) (/ PI 2)))
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* * [misc]simplify:  iters left: 3 (11 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (log (* 1 (exp (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))))) R))
* * * * [misc]progress:  [ 53 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (* (exp (/ PI 2)) (exp (- (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))))) R))>
* [enter]simplify:  Simplifying (exp (/ PI 2))
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (6 enodes)
* [exit]simplify:  Simplified to (sqrt (exp PI))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (log (* (sqrt (exp PI)) (exp (- (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))))) R))
* * * * [misc]progress:  [ 54 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (/ (exp (/ PI 2)) (exp (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))))) R))>
* [enter]simplify:  Simplifying (exp (/ PI 2))
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (6 enodes)
* [exit]simplify:  Simplified to (sqrt (exp PI))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (log (/ (sqrt (exp PI)) (exp (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))))) R))
* * * * [misc]progress:  [ 55 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (/ (exp (/ PI 2)) (exp (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))))) R))>
* [enter]simplify:  Simplifying (exp (/ PI 2))
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (6 enodes)
* [exit]simplify:  Simplified to (sqrt (exp PI))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (log (/ (sqrt (exp PI)) (exp (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))))) R))
* * * * [misc]progress:  [ 56 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))))) R))>
* [enter]simplify:  Simplifying (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (94 enodes)
* * [misc]simplify:  iters left: 3 (164 enodes)
* * [misc]simplify:  iters left: 2 (222 enodes)
* [exit]simplify:  Simplified to (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))))) R))
* * * * [misc]progress:  [ 57 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (log (exp (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))))))) R))>
* * * * [misc]progress:  [ 58 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (log (exp (exp (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))))))) R))>
* * * * [misc]progress:  [ 59 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (* (* (cbrt (exp (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))))) (cbrt (exp (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))))) (cbrt (exp (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))))))) R))>
* * * * [misc]progress:  [ 60 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (cbrt (* (* (exp (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))) (exp (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))))) (exp (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))))))) R))>
* * * * [misc]progress:  [ 61 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (* (sqrt (exp (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))))) (sqrt (exp (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))))))) R))>
* * * * [misc]progress:  [ 62 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (* 1 (exp (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))))) R))>
* * * * [misc]progress:  [ 63 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (- (* 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))>
* [enter]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))))))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (97 enodes)
* * [misc]simplify:  iters left: 3 (162 enodes)
* * [misc]simplify:  iters left: 2 (204 enodes)
* [exit]simplify:  Simplified to (- (* 1/2 PI) (asin (+ (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi1) (sin phi2)))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (- (* 1/2 PI) (asin (+ (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi1) (sin phi2))))))) R))
* * * * [misc]progress:  [ 64 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (- (* 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))>
* [enter]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))))))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (97 enodes)
* * [misc]simplify:  iters left: 3 (162 enodes)
* * [misc]simplify:  iters left: 2 (204 enodes)
* [exit]simplify:  Simplified to (- (* 1/2 PI) (asin (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi2) (cos phi1))) (* (sin phi1) (sin phi2)))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (- (* 1/2 PI) (asin (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi2) (cos phi1))) (* (sin phi1) (sin phi2))))))) R))
* * * * [misc]progress:  [ 65 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (- (* 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))>
* [enter]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))))))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (97 enodes)
* * [misc]simplify:  iters left: 3 (162 enodes)
* * [misc]simplify:  iters left: 2 (204 enodes)
* [exit]simplify:  Simplified to (- (* 1/2 PI) (asin (+ (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi1) (sin phi2)))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (- (* 1/2 PI) (asin (+ (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi1) (sin phi2))))))) R))
* * * * [misc]progress:  [ 66 / 74 ] 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))>
* [enter]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))))))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (97 enodes)
* * [misc]simplify:  iters left: 3 (162 enodes)
* * [misc]simplify:  iters left: 2 (204 enodes)
* [exit]simplify:  Simplified to (- (* 1/2 PI) (asin (+ (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi1) (sin phi2)))))
* [misc]simplify:  Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (- (* 1/2 PI) (asin (+ (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi1) (sin phi2))))) R))
* * * * [misc]progress:  [ 67 / 74 ] 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))>
* [enter]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))))))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (97 enodes)
* * [misc]simplify:  iters left: 3 (162 enodes)
* * [misc]simplify:  iters left: 2 (204 enodes)
* [exit]simplify:  Simplified to (- (* 1/2 PI) (asin (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi2) (cos phi1))) (* (sin phi1) (sin phi2)))))
* [misc]simplify:  Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (- (* 1/2 PI) (asin (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi2) (cos phi1))) (* (sin phi1) (sin phi2))))) R))
* * * * [misc]progress:  [ 68 / 74 ] 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))>
* [enter]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))))))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (97 enodes)
* * [misc]simplify:  iters left: 3 (162 enodes)
* * [misc]simplify:  iters left: 2 (204 enodes)
* [exit]simplify:  Simplified to (- (* 1/2 PI) (asin (+ (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi1) (sin phi2)))))
* [misc]simplify:  Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (- (* 1/2 PI) (asin (+ (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi1) (sin phi2))))) R))
* * * * [misc]progress:  [ 69 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (- (/ PI 2) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))))) R))>
* [enter]simplify:  Simplifying (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (89 enodes)
* * [misc]simplify:  iters left: 3 (153 enodes)
* * [misc]simplify:  iters left: 2 (190 enodes)
* [exit]simplify:  Simplified to (asin (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1)))))
* [misc]simplify:  Simplified (2 1 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1)))))))) R))
* * * * [misc]progress:  [ 70 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (- (/ PI 2) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))))) R))>
* [enter]simplify:  Simplifying (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (89 enodes)
* * [misc]simplify:  iters left: 3 (153 enodes)
* * [misc]simplify:  iters left: 2 (190 enodes)
* [exit]simplify:  Simplified to (asin (+ (* (sin phi1) (sin phi2)) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1)))))
* [misc]simplify:  Simplified (2 1 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1)))))))) R))
* * * * [misc]progress:  [ 71 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (- (/ PI 2) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))))) R))>
* [enter]simplify:  Simplifying (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (89 enodes)
* * [misc]simplify:  iters left: 3 (153 enodes)
* * [misc]simplify:  iters left: 2 (190 enodes)
* [exit]simplify:  Simplified to (asin (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1)))))
* [misc]simplify:  Simplified (2 1 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1)))))))) R))
* * * * [misc]progress:  [ 72 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (- (* 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))>
* [enter]simplify:  Simplifying (exp (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))))
* * [misc]simplify:  iters left: 6 (27 enodes)
* * [misc]simplify:  iters left: 5 (51 enodes)
* * [misc]simplify:  iters left: 4 (107 enodes)
* * [misc]simplify:  iters left: 3 (175 enodes)
* * [misc]simplify:  iters left: 2 (217 enodes)
* * [misc]simplify:  iters left: 1 (221 enodes)
* [exit]simplify:  Simplified to (exp (- (* 1/2 PI) (asin (+ (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi1) (sin phi2))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (- (* 1/2 PI) (asin (+ (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi1) (sin phi2))))))) R))
* * * * [misc]progress:  [ 73 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (- (* 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))>
* [enter]simplify:  Simplifying (exp (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))))
* * [misc]simplify:  iters left: 6 (27 enodes)
* * [misc]simplify:  iters left: 5 (51 enodes)
* * [misc]simplify:  iters left: 4 (107 enodes)
* * [misc]simplify:  iters left: 3 (175 enodes)
* * [misc]simplify:  iters left: 2 (217 enodes)
* * [misc]simplify:  iters left: 1 (221 enodes)
* [exit]simplify:  Simplified to (exp (- (* 1/2 PI) (asin (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi2) (cos phi1))) (* (sin phi1) (sin phi2))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (- (* 1/2 PI) (asin (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi2) (cos phi1))) (* (sin phi1) (sin phi2))))))) R))
* * * * [misc]progress:  [ 74 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (- (* 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))>
* [enter]simplify:  Simplifying (exp (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))))
* * [misc]simplify:  iters left: 6 (27 enodes)
* * [misc]simplify:  iters left: 5 (51 enodes)
* * [misc]simplify:  iters left: 4 (107 enodes)
* * [misc]simplify:  iters left: 3 (175 enodes)
* * [misc]simplify:  iters left: 2 (217 enodes)
* * [misc]simplify:  iters left: 1 (221 enodes)
* [exit]simplify:  Simplified to (exp (- (* 1/2 PI) (asin (+ (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi1) (sin phi2))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (- (* 1/2 PI) (asin (+ (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi1) (sin phi2))))))) R))
* * * [misc]progress:  adding candidates to table
* [misc]progress:  [Phase 3 of 3] Extracting.
* * [misc]regime-changes:  Finding splitpoints for: (#<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (pow (exp (sqrt (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))))) (sqrt (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (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 lambda2))))) R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))) (log (exp (* (cbrt (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))) (cbrt (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) R))> #<alt (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)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (* (cos phi1) (cos phi2)))))) (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (* (cos phi1) (cos phi2))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (/ (* (- (pow (/ PI 2) 3) (pow (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) 3)) R) (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (* (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (log (exp (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (- (/ PI 2) (* (sqrt (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))) (sqrt (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (- (/ PI 2) (* (* (cbrt (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))) (cbrt (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))) (cbrt (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (cbrt (* (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cbrt (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2)))) (cbrt (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))))) (cbrt (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) R)) (sqrt (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (- (* (/ PI 2) (/ PI 2)) (* (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) (+ (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (* (* (cbrt (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (/ (* (* (+ (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))) (/ PI 2)) R) (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))) (+ (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))))>)
* [misc]regimes:  Found splitpoints: (#s(sp 0 (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) +nan.0)) , with alts (#<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (log (exp (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))))) R))>)
* [enter]simplify:  Simplifying (* (- (/ PI 2) (log (exp (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))))) R)
* * [misc]simplify:  iters left: 6 (29 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* [exit]simplify:  Simplified to (* R (- (/ PI 2) (log (exp (asin (+ (* (sin phi2) (sin phi1)) (+ (* (* (cos phi2) (cos phi1)) (* (sin lambda2) (sin lambda1))) (* (* (cos phi2) (cos phi1)) (* (cos lambda1) (cos lambda2))))))))))
* * * * [misc]points:  Sampling 8000 additional inputs, on iter 0 have 0 / 8000
* * * * [misc]points:  Computing exacts on every 500 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 250 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 125 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 62 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 31 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 15 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 7 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 3 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Setting MPFR precision to 1600
* * * * [misc]points:  Setting MPFR precision to 1856
* * * * [misc]points:  Computing exacts for 8000 points
* * * * [misc]points:  Setting MPFR precision to 1600
* * * * [misc]points:  Setting MPFR precision to 1856
* * * * [misc]points:  Setting MPFR precision to 2112
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 4 additional inputs, on iter 1 have 7998 / 8000
* * * * [misc]points:  Computing exacts for 4 points
* * * * [misc]points:  Setting MPFR precision to 1856
* * * * [misc]points:  Setting MPFR precision to 2112
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [exit]points:  Sampled 8002 points with exact outputs