* [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:  Setting MPFR precision to 576
* * * * [misc]points:  Setting MPFR precision to 832
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Computing exacts on every 8 of 256 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 832
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Computing exacts on every 4 of 256 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 832
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Setting MPFR precision to 1600
* * * * [misc]points:  Computing exacts on every 2 of 256 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Setting MPFR precision to 1600
* * * * [misc]points:  Computing exacts for 256 points
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Setting MPFR precision to 1600
* * * * [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 1)
* * * [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 1)
* [misc]approximate:  Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0
* [misc]taylor:  Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (sin phi1) in phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (sin phi1) into (sin phi1)
* [misc]backup-simplify:  Simplify (cos phi1) into (cos phi1)
* [misc]taylor:  Taking taylor expansion of (sin 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 phi1) (sin phi2)) in phi1
* [misc]taylor:  Taking taylor expansion of (sin 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 (sin phi2) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (sin phi2) into (sin phi2)
* [misc]backup-simplify:  Simplify (cos phi2) into (cos phi2)
* [misc]taylor:  Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1
* [misc]taylor:  Taking taylor expansion of (sin 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 (sin phi2) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (sin phi2) into (sin phi2)
* [misc]backup-simplify:  Simplify (cos phi2) into (cos phi2)
* [misc]backup-simplify:  Simplify (* (sin phi2) 1) into (sin phi2)
* [misc]backup-simplify:  Simplify (* (cos phi2) 0) into 0
* [misc]backup-simplify:  Simplify (+ (sin phi2) 0) into (sin phi2)
* [misc]backup-simplify:  Simplify (* 0 (sin phi2)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi2
* [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 phi2) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos phi2) 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 phi2))) into (sin phi2)
* [misc]taylor:  Taking taylor expansion of (sin 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 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (* 0 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 (+ (* 0 0) (+ (* 1 0) (* 0 (sin phi2)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6)
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* (- 1/6) (sin phi2))))) into (- (* 1/6 (sin phi2)))
* [misc]taylor:  Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/6 (sin phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of 1/6 in phi2
* [misc]backup-simplify:  Simplify 1/6 into 1/6
* [misc]taylor:  Taking taylor expansion of (sin 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 (* 1/6 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 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* (- 1/6) 0) (* 0 (sin phi2)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1 (* phi2 phi1)) into (* phi1 phi2)
* [misc]approximate:  Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0
* [misc]taylor:  Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2
* [misc]taylor:  Taking taylor expansion of (sin (/ 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 (sin (/ 1 phi1)) into (sin (/ 1 phi1))
* [misc]backup-simplify:  Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1))
* [misc]taylor:  Taking taylor expansion of (sin (/ 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 (sin (/ 1 phi2)) into (sin (/ 1 phi2))
* [misc]taylor:  Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1
* [misc]taylor:  Taking taylor expansion of (sin (/ 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 (sin (/ 1 phi1)) into (sin (/ 1 phi1))
* [misc]taylor:  Taking taylor expansion of (sin (/ 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 (sin (/ 1 phi2)) into (sin (/ 1 phi2))
* [misc]backup-simplify:  Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2))
* [misc]taylor:  Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1
* [misc]taylor:  Taking taylor expansion of (sin (/ 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 (sin (/ 1 phi1)) into (sin (/ 1 phi1))
* [misc]taylor:  Taking taylor expansion of (sin (/ 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 (sin (/ 1 phi2)) into (sin (/ 1 phi2))
* [misc]backup-simplify:  Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 phi2)) 1) into (sin (/ 1 phi2))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 phi2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (sin (/ 1 phi2)) 0) into (sin (/ 1 phi2))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))
* [misc]taylor:  Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi2
* [misc]taylor:  Taking taylor expansion of (sin (/ 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 (sin (/ 1 phi2)) into (sin (/ 1 phi2))
* [misc]taylor:  Taking taylor expansion of (sin (/ 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 (sin (/ 1 phi1)) into (sin (/ 1 phi1))
* [misc]backup-simplify:  Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 phi1)) 1) into (sin (/ 1 phi1))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 phi1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (sin (/ 1 phi1)) 0) into (sin (/ 1 phi1))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 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 (+ (* (cos (/ 1 phi2)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 (sin (/ 1 phi2)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi2
* [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 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 (+ (* (cos (/ 1 phi1)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 (sin (/ 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 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 (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi2
* [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 (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 phi2)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) into (* (sin phi1) (sin phi2))
* [misc]approximate:  Taking taylor expansion of (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) in (phi1 phi2) around 0
* [misc]taylor:  Taking taylor expansion of (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (sin (/ 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 (sin (/ -1 phi1)) into (sin (/ -1 phi1))
* [misc]backup-simplify:  Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1))
* [misc]taylor:  Taking taylor expansion of (sin (/ 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 (sin (/ 1 (- phi2))) into (sin (/ -1 phi2))
* [misc]taylor:  Taking taylor expansion of (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) in phi1
* [misc]taylor:  Taking taylor expansion of (sin (/ 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 (sin (/ 1 (- phi1))) into (sin (/ -1 phi1))
* [misc]taylor:  Taking taylor expansion of (sin (/ 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 (sin (/ -1 phi2)) into (sin (/ -1 phi2))
* [misc]backup-simplify:  Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2))
* [misc]taylor:  Taking taylor expansion of (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) in phi1
* [misc]taylor:  Taking taylor expansion of (sin (/ 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 (sin (/ 1 (- phi1))) into (sin (/ -1 phi1))
* [misc]taylor:  Taking taylor expansion of (sin (/ 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 (sin (/ -1 phi2)) into (sin (/ -1 phi2))
* [misc]backup-simplify:  Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 phi2)) 1) into (sin (/ -1 phi2))
* [misc]backup-simplify:  Simplify (* (cos (/ -1 phi2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (sin (/ -1 phi2)) 0) into (sin (/ -1 phi2))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))
* [misc]taylor:  Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2
* [misc]taylor:  Taking taylor expansion of (sin (/ -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 (sin (/ -1 phi1)) into (sin (/ -1 phi1))
* [misc]backup-simplify:  Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1))
* [misc]taylor:  Taking taylor expansion of (sin (/ -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 (sin (/ -1 phi2)) into (sin (/ -1 phi2))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 phi1)) 1) into (sin (/ -1 phi1))
* [misc]backup-simplify:  Simplify (* (cos (/ -1 phi1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (sin (/ -1 phi1)) 0) into (sin (/ -1 phi1))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -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 (+ (* (cos (/ -1 phi2)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi2
* [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 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 (+ (* (cos (/ -1 phi1)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) 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 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 (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi2
* [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 (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 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 (- 0) into 0
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 phi2) (/ 0 (- phi2))) (* 0 (/ 0 (- phi2))) (* 0 (/ 0 (- phi2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) into (* (sin phi1) (sin phi2))
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 59 ] 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 / 59 ] 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 / 59 ] 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 / 59 ] 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 / 59 ] 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 / 59 ] 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 / 59 ] 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 / 59 ] 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 / 59 ] 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 / 59 ] 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 / 59 ] 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 / 59 ] 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 / 59 ] 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 / 59 ] 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 / 59 ] 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 / 59 ] 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 / 59 ] 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 / 59 ] 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 / 59 ] 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 / 59 ] 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 / 59 ] 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 / 59 ] 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 / 59 ] 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 / 59 ] 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 / 59 ] 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 / 59 ] 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 / 59 ] 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 (32 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 / 59 ] 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 / 59 ] 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 / 59 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (/ (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) 2) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
* [enter]simplify:  Simplifying (- (cos (- phi1 phi2)) (cos (+ phi1 phi2)))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* * [misc]simplify:  iters left: 3 (14 enodes)
* [exit]simplify:  Simplified to (- (cos (- phi1 phi2)) (cos (+ phi2 phi1)))
* [misc]simplify:  Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (/ (- (cos (- phi1 phi2)) (cos (+ phi2 phi1))) 2) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))
* * * * [misc]progress:  [ 31 / 59 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (pow (* (sin phi1) (sin phi2)) 1) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
* [enter]simplify:  Simplifying (* (sin phi1) (sin phi2))
* * [misc]simplify:  iters left: 3 (5 enodes)
* * [misc]simplify:  iters left: 2 (6 enodes)
* [exit]simplify:  Simplified to (* (sin phi2) (sin phi1))
* [misc]simplify:  Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (pow (* (sin phi2) (sin phi1)) 1) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))
* * * * [misc]progress:  [ 32 / 59 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (pow (* (sin phi1) (sin phi2)) 1) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
* * * * [misc]progress:  [ 33 / 59 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (exp (+ (log (sin phi1)) (log (sin phi2)))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
* [enter]simplify:  Simplifying (+ (log (sin phi1)) (log (sin phi2)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (+ (log (sin phi2)) (log (sin phi1)))
* [misc]simplify:  Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (exp (+ (log (sin phi2)) (log (sin phi1)))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))
* * * * [misc]progress:  [ 34 / 59 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (exp (log (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
* * * * [misc]progress:  [ 35 / 59 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
* * * * [misc]progress:  [ 36 / 59 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
* [enter]simplify:  Simplifying (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (75 enodes)
* * [misc]simplify:  iters left: 2 (99 enodes)
* * [misc]simplify:  iters left: 1 (102 enodes)
* [exit]simplify:  Simplified to (pow (* (sin phi2) (sin phi1)) 3)
* [misc]simplify:  Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (pow (* (sin phi2) (sin phi1)) 3)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))
* * * * [misc]progress:  [ 37 / 59 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
* * * * [misc]progress:  [ 38 / 59 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
* * * * [misc]progress:  [ 39 / 59 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
* * * * [misc]progress:  [ 40 / 59 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* 1 (* (sin phi1) (sin phi2))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
* * * * [misc]progress:  [ 41 / 59 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (cbrt (sin phi2))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
* [enter]simplify:  Simplifying (cbrt (sin phi2))
* * [misc]simplify:  iters left: 2 (3 enodes)
* [exit]simplify:  Simplified to (cbrt (sin phi2))
* [misc]simplify:  Simplified (2 1 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (cbrt (sin phi2))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))
* * * * [misc]progress:  [ 42 / 59 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sin phi1) (sqrt (sin phi2))) (sqrt (sin phi2))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
* [enter]simplify:  Simplifying (sqrt (sin phi2))
* * [misc]simplify:  iters left: 2 (3 enodes)
* [exit]simplify:  Simplified to (sqrt (sin phi2))
* [misc]simplify:  Simplified (2 1 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sin phi1) (sqrt (sin phi2))) (sqrt (sin phi2))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))
* * * * [misc]progress:  [ 43 / 59 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sin phi1) 1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
* [enter]simplify:  Simplifying (sin phi2)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (sin phi2)
* [misc]simplify:  Simplified (2 1 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sin phi1) 1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))
* * * * [misc]progress:  [ 44 / 59 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (cbrt (sin phi1)) (cbrt (sin phi1))) (* (cbrt (sin phi1)) (sin phi2))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
* [enter]simplify:  Simplifying (* (cbrt (sin phi1)) (cbrt (sin phi1)))
* * [misc]simplify:  iters left: 4 (4 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sin phi1)) (cbrt (sin phi1)))
* [misc]simplify:  Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (cbrt (sin phi1)) (cbrt (sin phi1))) (* (cbrt (sin phi1)) (sin phi2))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))
* * * * [misc]progress:  [ 45 / 59 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sqrt (sin phi1)) (* (sqrt (sin phi1)) (sin phi2))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
* [enter]simplify:  Simplifying (sqrt (sin phi1))
* * [misc]simplify:  iters left: 2 (3 enodes)
* [exit]simplify:  Simplified to (sqrt (sin phi1))
* [misc]simplify:  Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sqrt (sin phi1)) (* (sqrt (sin phi1)) (sin phi2))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))
* * * * [misc]progress:  [ 46 / 59 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* 1 (* (sin phi1) (sin phi2))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
* * * * [misc]progress:  [ 47 / 59 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
* * * * [misc]progress:  [ 48 / 59 ] 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 (39 enodes)
* * [misc]simplify:  iters left: 3 (57 enodes)
* * [misc]simplify:  iters left: 2 (73 enodes)
* * [misc]simplify:  iters left: 1 (82 enodes)
* [exit]simplify:  Simplified to (+ (+ (* lambda1 lambda2) 1) (* (* -1/2 lambda1) 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) (* (* -1/2 lambda1) lambda1))))) R))
* * * * [misc]progress:  [ 49 / 59 ] 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:  [ 50 / 59 ] 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:  [ 51 / 59 ] 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:  [ 52 / 59 ] 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:  [ 53 / 59 ] 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:  [ 54 / 59 ] 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:  [ 55 / 59 ] 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:  [ 56 / 59 ] 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:  [ 57 / 59 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* phi1 phi2) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
* [enter]simplify:  Simplifying (* phi1 phi2)
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to (* phi1 phi2)
* [misc]simplify:  Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* phi1 phi2) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))
* * * * [misc]progress:  [ 58 / 59 ] 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 (* (sin phi1) (sin phi2))
* * [misc]simplify:  iters left: 3 (5 enodes)
* * [misc]simplify:  iters left: 2 (6 enodes)
* [exit]simplify:  Simplified to (* (sin phi2) (sin phi1))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))
* * * * [misc]progress:  [ 59 / 59 ] 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 (* (sin phi1) (sin phi2))
* * [misc]simplify:  iters left: 3 (5 enodes)
* * [misc]simplify:  iters left: 2 (6 enodes)
* [exit]simplify:  Simplified to (* (sin phi2) (sin phi1))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))
* * * [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)) (* (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)
* * * * [misc]progress:  [ 3 / 4 ] rewriting at (2 1 1 1)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2 1 1 2)
* * * [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)) (* (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)) (* (sin lambda1) (sin lambda2)))))) in lambda2
* [misc]backup-simplify:  Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
* [misc]taylor:  Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) in lambda1
* [misc]backup-simplify:  Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
* [misc]taylor:  Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) in phi2
* [misc]backup-simplify:  Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
* [misc]taylor:  Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) in phi1
* [misc]backup-simplify:  Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
* [misc]taylor:  Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) in phi1
* [misc]backup-simplify:  Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
* [misc]taylor:  Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2
* [misc]backup-simplify:  Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
* [misc]taylor:  Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1
* [misc]backup-simplify:  Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
* [misc]taylor:  Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2
* [misc]backup-simplify:  Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
* [misc]backup-simplify:  Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
* [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) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
* [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))) (* (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))) (* (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))) (* (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))) (* (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))) (* (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))) (* (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))) (* (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))) (* (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))) (* (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))) (* (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))) (* (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)))) (* (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)))) (* (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)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))
* [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)))) (* (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)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))
* [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)))) (* (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)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))
* [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)))) (* (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)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))
* [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)))) (* (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)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))
* [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 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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]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 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 (- phi2)))) (cos (/ -1 (/ 1 (- lambda2)))))))))) 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)
* [misc]approximate:  Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (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)) (* (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)) (* (sin lambda1) (sin lambda2)))))) in R
* [misc]backup-simplify:  Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
* [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)) (* (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)) (* (sin lambda1) (sin lambda2)))))) in lambda2
* [misc]backup-simplify:  Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
* [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)) (* (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)) (* (sin lambda1) (sin lambda2)))))) in lambda1
* [misc]backup-simplify:  Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
* [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)) (* (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)) (* (sin lambda1) (sin lambda2)))))) in phi2
* [misc]backup-simplify:  Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
* [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)) (* (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)) (* (sin lambda1) (sin lambda2)))))) in phi1
* [misc]backup-simplify:  Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
* [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)) (* (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)) (* (sin lambda1) (sin lambda2)))))) in phi1
* [misc]backup-simplify:  Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
* [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) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) R) into (* R (acos (+ (* (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 (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos 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) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2
* [misc]backup-simplify:  Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
* [misc]backup-simplify:  Simplify (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
* [misc]taylor:  Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda1
* [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) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1
* [misc]backup-simplify:  Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
* [misc]backup-simplify:  Simplify (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
* [misc]taylor:  Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda2
* [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) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2
* [misc]backup-simplify:  Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
* [misc]backup-simplify:  Simplify (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
* [misc]taylor:  Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in R
* [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) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in R
* [misc]backup-simplify:  Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
* [misc]backup-simplify:  Simplify (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos 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) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos 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) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos 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) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos 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) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
* [misc]backup-simplify:  Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
* [misc]backup-simplify:  Simplify (+ (* (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos 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) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos 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) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos 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) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (* R (* 1 (* 1 (* 1 1))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
* [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))) (* (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))) (* (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))) (* (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))) (* (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))) (* (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))) (* (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))) (* (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))) (* (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))) (* (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))) (* (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))) (* (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))) (* (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))) (* (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))) (* (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))) (* (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))) (* (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))) (* (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))) (* (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))) (* (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)))) (* (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)))) (* (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)))) (* (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)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))
* [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)))) (* (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)))) (* (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)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))
* [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)))) (* (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)))) (* (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)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))
* [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)))) (* (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)))) (* (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)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))
* [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)))) (* (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)))) (* (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)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))
* [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)))) (* (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)))) (* (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)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))
* [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 (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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 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 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 lambda2)) (cos (/ -1 phi2)))))))) 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 lambda2)) (cos (/ -1 phi2)))))))) 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 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 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 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 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 phi2)) (cos (/ -1 lambda2)))))))) 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 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 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 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 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 lambda2)) (cos (/ -1 phi2)))))))) 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 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]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 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 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 phi2)) (cos (/ -1 lambda2)))))))) 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 phi2)) (cos (/ -1 lambda2)))))))) 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 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 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 lambda2)) (cos (/ -1 phi2)))))))) 1) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))
* [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 (* -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 (- 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 (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 0) (* 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 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 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 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 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 phi2)) (cos (/ -1 lambda2)))))))) (/ 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 phi2)) (cos (/ -1 lambda2)))))))))) 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 (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 0) (+ (* 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 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 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 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 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 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 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 phi2)) (cos (/ -1 lambda2)))))))) (/ 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 phi2)) (cos (/ -1 lambda2))))))))))) 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 (- phi2)))) (cos (/ -1 (/ 1 (- lambda2))))))))))) (* (/ 1 (/ 1 (- R))) (* 1 (* 1 (* 1 1))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
* * * * [misc]progress:  [ 3 / 4 ] generating series at (2 1 1 1)
* [misc]approximate:  Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0
* [misc]taylor:  Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (sin phi1) in phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (sin phi1) into (sin phi1)
* [misc]backup-simplify:  Simplify (cos phi1) into (cos phi1)
* [misc]taylor:  Taking taylor expansion of (sin 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 phi1) (sin phi2)) in phi1
* [misc]taylor:  Taking taylor expansion of (sin 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 (sin phi2) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (sin phi2) into (sin phi2)
* [misc]backup-simplify:  Simplify (cos phi2) into (cos phi2)
* [misc]taylor:  Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1
* [misc]taylor:  Taking taylor expansion of (sin 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 (sin phi2) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (sin phi2) into (sin phi2)
* [misc]backup-simplify:  Simplify (cos phi2) into (cos phi2)
* [misc]backup-simplify:  Simplify (* (sin phi2) 1) into (sin phi2)
* [misc]backup-simplify:  Simplify (* (cos phi2) 0) into 0
* [misc]backup-simplify:  Simplify (+ (sin phi2) 0) into (sin phi2)
* [misc]backup-simplify:  Simplify (* 0 (sin phi2)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi2
* [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 phi2) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos phi2) 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 phi2))) into (sin phi2)
* [misc]taylor:  Taking taylor expansion of (sin 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 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (* 0 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 (+ (* 0 0) (+ (* 1 0) (* 0 (sin phi2)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6)
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* (- 1/6) (sin phi2))))) into (- (* 1/6 (sin phi2)))
* [misc]taylor:  Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/6 (sin phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of 1/6 in phi2
* [misc]backup-simplify:  Simplify 1/6 into 1/6
* [misc]taylor:  Taking taylor expansion of (sin 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 (* 1/6 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 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* (- 1/6) 0) (* 0 (sin phi2)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1 (* phi2 phi1)) into (* phi1 phi2)
* [misc]approximate:  Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0
* [misc]taylor:  Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2
* [misc]taylor:  Taking taylor expansion of (sin (/ 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 (sin (/ 1 phi1)) into (sin (/ 1 phi1))
* [misc]backup-simplify:  Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1))
* [misc]taylor:  Taking taylor expansion of (sin (/ 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 (sin (/ 1 phi2)) into (sin (/ 1 phi2))
* [misc]taylor:  Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1
* [misc]taylor:  Taking taylor expansion of (sin (/ 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 (sin (/ 1 phi1)) into (sin (/ 1 phi1))
* [misc]taylor:  Taking taylor expansion of (sin (/ 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 (sin (/ 1 phi2)) into (sin (/ 1 phi2))
* [misc]backup-simplify:  Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2))
* [misc]taylor:  Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1
* [misc]taylor:  Taking taylor expansion of (sin (/ 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 (sin (/ 1 phi1)) into (sin (/ 1 phi1))
* [misc]taylor:  Taking taylor expansion of (sin (/ 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 (sin (/ 1 phi2)) into (sin (/ 1 phi2))
* [misc]backup-simplify:  Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 phi2)) 1) into (sin (/ 1 phi2))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 phi2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (sin (/ 1 phi2)) 0) into (sin (/ 1 phi2))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))
* [misc]taylor:  Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi2
* [misc]taylor:  Taking taylor expansion of (sin (/ 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 (sin (/ 1 phi2)) into (sin (/ 1 phi2))
* [misc]taylor:  Taking taylor expansion of (sin (/ 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 (sin (/ 1 phi1)) into (sin (/ 1 phi1))
* [misc]backup-simplify:  Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 phi1)) 1) into (sin (/ 1 phi1))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 phi1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (sin (/ 1 phi1)) 0) into (sin (/ 1 phi1))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 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 (+ (* (cos (/ 1 phi2)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 (sin (/ 1 phi2)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi2
* [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 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 (+ (* (cos (/ 1 phi1)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 (sin (/ 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 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 (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi2
* [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 (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 phi2)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) into (* (sin phi1) (sin phi2))
* [misc]approximate:  Taking taylor expansion of (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) in (phi1 phi2) around 0
* [misc]taylor:  Taking taylor expansion of (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (sin (/ 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 (sin (/ -1 phi1)) into (sin (/ -1 phi1))
* [misc]backup-simplify:  Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1))
* [misc]taylor:  Taking taylor expansion of (sin (/ 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 (sin (/ 1 (- phi2))) into (sin (/ -1 phi2))
* [misc]taylor:  Taking taylor expansion of (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) in phi1
* [misc]taylor:  Taking taylor expansion of (sin (/ 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 (sin (/ 1 (- phi1))) into (sin (/ -1 phi1))
* [misc]taylor:  Taking taylor expansion of (sin (/ 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 (sin (/ -1 phi2)) into (sin (/ -1 phi2))
* [misc]backup-simplify:  Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2))
* [misc]taylor:  Taking taylor expansion of (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) in phi1
* [misc]taylor:  Taking taylor expansion of (sin (/ 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 (sin (/ 1 (- phi1))) into (sin (/ -1 phi1))
* [misc]taylor:  Taking taylor expansion of (sin (/ 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 (sin (/ -1 phi2)) into (sin (/ -1 phi2))
* [misc]backup-simplify:  Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 phi2)) 1) into (sin (/ -1 phi2))
* [misc]backup-simplify:  Simplify (* (cos (/ -1 phi2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (sin (/ -1 phi2)) 0) into (sin (/ -1 phi2))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))
* [misc]taylor:  Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2
* [misc]taylor:  Taking taylor expansion of (sin (/ -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 (sin (/ -1 phi1)) into (sin (/ -1 phi1))
* [misc]backup-simplify:  Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1))
* [misc]taylor:  Taking taylor expansion of (sin (/ -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 (sin (/ -1 phi2)) into (sin (/ -1 phi2))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 phi1)) 1) into (sin (/ -1 phi1))
* [misc]backup-simplify:  Simplify (* (cos (/ -1 phi1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (sin (/ -1 phi1)) 0) into (sin (/ -1 phi1))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -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 (+ (* (cos (/ -1 phi2)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi2
* [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 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 (+ (* (cos (/ -1 phi1)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) 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 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 (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi2
* [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 (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 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 (- 0) into 0
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 phi2) (/ 0 (- phi2))) (* 0 (/ 0 (- phi2))) (* 0 (/ 0 (- phi2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) into (* (sin phi1) (sin phi2))
* * * * [misc]progress:  [ 4 / 4 ] generating series at (2 1 1 2)
* [misc]approximate:  Taking taylor expansion of (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) in (phi1 phi2 lambda1 lambda2) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (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 (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) in lambda2
* [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 (* (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)) (+ (* (cos lambda1) (cos lambda2)) (* (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 (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) in lambda1
* [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 (* (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)) (+ (* (cos lambda1) (cos lambda2)) (* (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 (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) in phi2
* [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 (* (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)) (+ (* (cos lambda1) (cos lambda2)) (* (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 (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) in phi1
* [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 (* (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)) (+ (* (cos lambda1) (cos lambda2)) (* (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 (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) in phi1
* [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 (* (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 (* (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 (* (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 lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) into (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))
* [misc]backup-simplify:  Simplify (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) into (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2))
* [misc]taylor:  Taking taylor expansion of (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) in phi2
* [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 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 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 (* (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 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 (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) into (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))
* [misc]backup-simplify:  Simplify (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) 1) into (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))
* [misc]taylor:  Taking taylor expansion of (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) in lambda1
* [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 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 (* (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 (* (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 (+ 0 (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 (+ (* (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 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 (+ (* (sin lambda1) (sin lambda2)) (* (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 (+ 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 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 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos 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 (+ (* (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]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]backup-simplify:  Simplify (+ (sin lambda2) 0) 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 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 (+ (* (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 (+ 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))) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))) into (- (+ (* 1/2 (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* 1/2 (* (cos phi2) (* (cos lambda1) (cos lambda2))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 1/2 (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* 1/2 (* (cos phi2) (* (cos lambda1) (cos lambda2)))))) in phi2
* [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* 1/2 (* (cos phi2) (* (cos lambda1) (cos 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]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 (* (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 (* (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 (* (sin lambda1) (sin lambda2))) (* 1/2 (* (cos lambda1) (cos lambda2)))) into (+ (* 1/2 (* (sin lambda1) (sin lambda2))) (* 1/2 (* (cos lambda1) (cos lambda2))))
* [misc]backup-simplify:  Simplify (- (+ (* 1/2 (* (sin lambda1) (sin lambda2))) (* 1/2 (* (cos lambda1) (cos lambda2))))) into (- (+ (* 1/2 (* (sin lambda1) (sin lambda2))) (* 1/2 (* (cos lambda1) (cos lambda2)))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 1/2 (* (sin lambda1) (sin lambda2))) (* 1/2 (* (cos lambda1) (cos lambda2))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (* (sin lambda1) (sin lambda2))) (* 1/2 (* (cos lambda1) (cos 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]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 (* (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 (* (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 (+ 0 (* 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 1 2) 2)) 0) into (- 1/2)
* [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 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 (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (- 1/2)) (+ (* 0 0) (* 0 1))) into (- (+ (* 1/2 (* (sin lambda1) (sin lambda2))) (* 1/2 (* (cos lambda1) (cos lambda2)))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 1/2 (* (sin lambda1) (sin lambda2))) (* 1/2 (* (cos lambda1) (cos lambda2))))) in lambda1
* [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (* (sin lambda1) (sin lambda2))) (* 1/2 (* (cos lambda1) (cos 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]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 (* (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 (* (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 (+ 0 (* 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))) (* (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))) (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (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 (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) in lambda2
* [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 (* (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))) (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (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 (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) in lambda1
* [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 (* (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))) (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (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 (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) in 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 (* (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))) (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (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 (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) in phi1
* [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 (* (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))) (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (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 (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) in phi1
* [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 (* (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 (* (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 (* (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 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))) into (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))
* [misc]backup-simplify:  Simplify (* (* (cos (/ 1 phi2)) (cos (/ 1 phi1))) (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))) into (* (cos (/ 1 phi2)) (* (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (cos (/ 1 phi1))))
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 phi2)) (* (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (cos (/ 1 phi1)))) in phi2
* [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 lambda2)) (cos (/ 1 lambda1)))) (cos (/ 1 phi1))) in phi2
* [misc]taylor:  Taking taylor expansion of (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) in phi2
* [misc]taylor:  Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 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)) 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 lambda2)) (cos (/ 1 lambda1))) 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)) 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 (* (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 (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 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)) 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)) (cos (/ 1 lambda1))) into (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) into (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))
* [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)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (cos (/ 1 phi1))) into (* (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (cos (/ 1 phi1)))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 phi2)) (* (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (cos (/ 1 phi1)))) into (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))))
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 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 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)) (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 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 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 lambda2)) (cos (/ 1 lambda1)))) in lambda1
* [misc]taylor:  Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 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)) 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 lambda2)) (cos (/ 1 lambda1))) 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)) 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]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 (* (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)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 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 lambda1))) into (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) into (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 phi2)) (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))) into (* (cos (/ 1 phi2)) (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))))) into (* (cos (/ 1 phi2)) (* (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (cos (/ 1 phi1))))
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 phi2)) (* (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (cos (/ 1 phi1)))) in lambda2
* [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 lambda2)) (cos (/ 1 lambda1)))) (cos (/ 1 phi1))) in lambda2
* [misc]taylor:  Taking taylor expansion of (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) in lambda2
* [misc]taylor:  Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 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)) 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 lambda2)) (cos (/ 1 lambda1))) 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)) 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 (* (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)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))
* [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)) (cos (/ 1 lambda1))) into (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) into (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))
* [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)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (cos (/ 1 phi1))) into (* (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (cos (/ 1 phi1)))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 phi2)) (* (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (cos (/ 1 phi1)))) into (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))))) into (* (cos (/ 1 phi2)) (* (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (cos (/ 1 phi1))))
* [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 (+ (* (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 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 (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (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 (+ (* (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 (+ 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)))) 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 (+ 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)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) 0) (* 0 (cos (/ 1 phi1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 (* (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (cos (/ 1 phi1))))) into 0
* [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 (- (+ (* (/ 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)))) 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)))) 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 phi2)) 0) (* 0 (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 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 (- (+ (* (/ 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)) (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 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 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 lambda2)) 0) (* 0 (sin (/ 1 lambda1)))) 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 lambda2)) 0) (* 0 (cos (/ 1 lambda1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) 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 (* (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (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 (+ (* (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 (+ 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 (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (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))) (* (+ (* (sin (/ 1 (/ 1 lambda2))) (sin (/ 1 (/ 1 lambda1)))) (* (cos (/ 1 (/ 1 lambda2))) (cos (/ 1 (/ 1 lambda1))))) (cos (/ 1 (/ 1 phi1))))) into (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))
* [misc]approximate:  Taking taylor expansion of (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (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)))) (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (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 (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) in lambda2
* [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 (* (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)))) (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (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 (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) in lambda1
* [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 (* (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)))) (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (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 (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) in 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 (* (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)))) (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (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 (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) in phi1
* [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 (* (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)))) (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (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 (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) in phi1
* [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 (* (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 (* (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 (* (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 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))) into (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))))
* [misc]backup-simplify:  Simplify (* (* (cos (/ -1 phi1)) (cos (/ -1 phi2))) (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))))) into (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))))))
* [misc]taylor:  Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2)))))) in phi2
* [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)) (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))))) 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 (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2)))) in 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 -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)) 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 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 -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)) 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]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 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -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 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 (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2)))) into (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))))
* [misc]backup-simplify:  Simplify (* (cos (/ -1 phi2)) (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))))) into (* (cos (/ -1 phi2)) (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2)))))
* [misc]backup-simplify:  Simplify (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2)))))) into (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))))))
* [misc]taylor:  Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2)))))) in lambda1
* [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)) (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))))) 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 (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2)))) in lambda1
* [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 -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)) 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 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 -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)) 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]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 (* (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 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 (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2)))) into (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))))
* [misc]backup-simplify:  Simplify (* (cos (/ -1 phi2)) (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))))) into (* (cos (/ -1 phi2)) (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2)))))
* [misc]backup-simplify:  Simplify (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2)))))) into (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))))))
* [misc]taylor:  Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2)))))) in lambda2
* [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)) (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))))) 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 (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2)))) in lambda2
* [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 -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)) 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 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 -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)) 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]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 (* (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 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -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 lambda1)) (cos (/ -1 lambda2))) into (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2)))
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2)))) into (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))))
* [misc]backup-simplify:  Simplify (* (cos (/ -1 phi2)) (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))))) into (* (cos (/ -1 phi2)) (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2)))))
* [misc]backup-simplify:  Simplify (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2)))))) into (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))))))
* [misc]backup-simplify:  Simplify (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2)))))) into (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))))))
* [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 (+ (* (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 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 (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (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 (+ (* (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 (+ 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 (sin (/ -1 lambda2)))) 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 (+ 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 lambda2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (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 phi2)) (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (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 (+ (* (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 lambda1)) 0) (* 0 (sin (/ -1 lambda2)))) 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 lambda1)) 0) (* 0 (cos (/ -1 lambda2)))) 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 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 (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (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 phi2)) (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (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 (+ (* (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 (sin (/ -1 lambda2)))) 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 lambda2)))) 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 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 (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (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 phi2)) (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (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 (+ (* (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 (+ 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 (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (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 (- phi2)))) (+ (* (sin (/ -1 (/ 1 (- lambda1)))) (sin (/ -1 (/ 1 (- lambda2))))) (* (cos (/ -1 (/ 1 (- lambda1)))) (cos (/ -1 (/ 1 (- lambda2)))))))) into (* (cos phi1) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)))
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 76 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R))>
* * * * [misc]progress:  [ 2 / 76 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (pow (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 1) R))>
* * * * [misc]progress:  [ 3 / 76 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))>
* * * * [misc]progress:  [ 4 / 76 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))>
* * * * [misc]progress:  [ 5 / 76 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))>
* * * * [misc]progress:  [ 6 / 76 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (cbrt (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))>
* * * * [misc]progress:  [ 7 / 76 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))>
* * * * [misc]progress:  [ 8 / 76 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* 1 (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R))>
* * * * [misc]progress:  [ 9 / 76 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) 1))>
* * * * [misc]progress:  [ 10 / 76 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (exp (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))))>
* * * * [misc]progress:  [ 11 / 76 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (log (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))))>
* * * * [misc]progress:  [ 12 / 76 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))))>
* * * * [misc]progress:  [ 13 / 76 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (cbrt (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))))>
* * * * [misc]progress:  [ 14 / 76 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))))>
* * * * [misc]progress:  [ 15 / 76 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* 1 (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)))>
* * * * [misc]progress:  [ 16 / 76 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R)))>
* [enter]simplify:  Simplifying (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (89 enodes)
* * [misc]simplify:  iters left: 3 (158 enodes)
* * [misc]simplify:  iters left: 2 (220 enodes)
* * [misc]simplify:  iters left: 1 (222 enodes)
* [exit]simplify:  Simplified to (* (cbrt (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1))))) (cbrt (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1))))))
* [misc]simplify:  Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1))))) (cbrt (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1)))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R)))
* * * * [misc]progress:  [ 17 / 76 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R)))>
* [enter]simplify:  Simplifying (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (88 enodes)
* * [misc]simplify:  iters left: 3 (158 enodes)
* * [misc]simplify:  iters left: 2 (225 enodes)
* * [misc]simplify:  iters left: 1 (226 enodes)
* [exit]simplify:  Simplified to (sqrt (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1)))))
* [misc]simplify:  Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1))))) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R)))
* * * * [misc]progress:  [ 18 / 76 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* 1 (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)))>
* * * * [misc]progress:  [ 19 / 76 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))>
* * * * [misc]progress:  [ 20 / 76 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (/ (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) 2) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
* [enter]simplify:  Simplifying (- (cos (- phi1 phi2)) (cos (+ phi1 phi2)))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* * [misc]simplify:  iters left: 3 (14 enodes)
* [exit]simplify:  Simplified to (- (cos (- phi1 phi2)) (cos (+ phi2 phi1)))
* [misc]simplify:  Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (/ (- (cos (- phi1 phi2)) (cos (+ phi2 phi1))) 2) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
* * * * [misc]progress:  [ 21 / 76 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (pow (* (sin phi1) (sin phi2)) 1) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
* [enter]simplify:  Simplifying (* (sin phi1) (sin phi2))
* * [misc]simplify:  iters left: 3 (5 enodes)
* * [misc]simplify:  iters left: 2 (6 enodes)
* [exit]simplify:  Simplified to (* (sin phi2) (sin phi1))
* [misc]simplify:  Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (pow (* (sin phi2) (sin phi1)) 1) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
* * * * [misc]progress:  [ 22 / 76 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (pow (* (sin phi1) (sin phi2)) 1) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
* * * * [misc]progress:  [ 23 / 76 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (exp (+ (log (sin phi1)) (log (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
* [enter]simplify:  Simplifying (+ (log (sin phi1)) (log (sin phi2)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (+ (log (sin phi2)) (log (sin phi1)))
* [misc]simplify:  Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (exp (+ (log (sin phi2)) (log (sin phi1)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
* * * * [misc]progress:  [ 24 / 76 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (exp (log (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
* * * * [misc]progress:  [ 25 / 76 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
* * * * [misc]progress:  [ 26 / 76 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
* [enter]simplify:  Simplifying (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (75 enodes)
* * [misc]simplify:  iters left: 2 (99 enodes)
* * [misc]simplify:  iters left: 1 (102 enodes)
* [exit]simplify:  Simplified to (pow (* (sin phi2) (sin phi1)) 3)
* [misc]simplify:  Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (pow (* (sin phi2) (sin phi1)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
* * * * [misc]progress:  [ 27 / 76 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
* * * * [misc]progress:  [ 28 / 76 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
* * * * [misc]progress:  [ 29 / 76 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
* * * * [misc]progress:  [ 30 / 76 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* 1 (* (sin phi1) (sin phi2))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
* * * * [misc]progress:  [ 31 / 76 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (cbrt (sin phi2))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
* [enter]simplify:  Simplifying (cbrt (sin phi2))
* * [misc]simplify:  iters left: 2 (3 enodes)
* [exit]simplify:  Simplified to (cbrt (sin phi2))
* [misc]simplify:  Simplified (2 1 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (cbrt (sin phi2))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
* * * * [misc]progress:  [ 32 / 76 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sin phi1) (sqrt (sin phi2))) (sqrt (sin phi2))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (sin phi2))
* * [misc]simplify:  iters left: 2 (3 enodes)
* [exit]simplify:  Simplified to (sqrt (sin phi2))
* [misc]simplify:  Simplified (2 1 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sin phi1) (sqrt (sin phi2))) (sqrt (sin phi2))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
* * * * [misc]progress:  [ 33 / 76 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sin phi1) 1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
* [enter]simplify:  Simplifying (sin phi2)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (sin phi2)
* [misc]simplify:  Simplified (2 1 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sin phi1) 1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
* * * * [misc]progress:  [ 34 / 76 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (cbrt (sin phi1)) (cbrt (sin phi1))) (* (cbrt (sin phi1)) (sin phi2))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
* [enter]simplify:  Simplifying (* (cbrt (sin phi1)) (cbrt (sin phi1)))
* * [misc]simplify:  iters left: 4 (4 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sin phi1)) (cbrt (sin phi1)))
* [misc]simplify:  Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (cbrt (sin phi1)) (cbrt (sin phi1))) (* (cbrt (sin phi1)) (sin phi2))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
* * * * [misc]progress:  [ 35 / 76 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sqrt (sin phi1)) (* (sqrt (sin phi1)) (sin phi2))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (sin phi1))
* * [misc]simplify:  iters left: 2 (3 enodes)
* [exit]simplify:  Simplified to (sqrt (sin phi1))
* [misc]simplify:  Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sqrt (sin phi1)) (* (sqrt (sin phi1)) (sin phi2))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
* * * * [misc]progress:  [ 36 / 76 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* 1 (* (sin phi1) (sin phi2))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
* * * * [misc]progress:  [ 37 / 76 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
* * * * [misc]progress:  [ 38 / 76 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (pow (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) 1))) R))>
* [enter]simplify:  Simplifying (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (72 enodes)
* * [misc]simplify:  iters left: 3 (133 enodes)
* * [misc]simplify:  iters left: 2 (181 enodes)
* [exit]simplify:  Simplified to (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos 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)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) 1))) R))
* * * * [misc]progress:  [ 39 / 76 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (pow (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) 1))) R))>
* [enter]simplify:  Simplifying (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (72 enodes)
* * [misc]simplify:  iters left: 3 (133 enodes)
* * [misc]simplify:  iters left: 2 (181 enodes)
* [exit]simplify:  Simplified to (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos 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)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) 1))) R))
* * * * [misc]progress:  [ 40 / 76 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (pow (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) 1))) R))>
* * * * [misc]progress:  [ 41 / 76 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (exp (+ (+ (log (cos phi1)) (log (cos phi2))) (log (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))>
* [enter]simplify:  Simplifying (+ (+ (log (cos phi1)) (log (cos phi2))) (log (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* [exit]simplify:  Simplified to (+ (+ (log (cos phi2)) (log (cos phi1))) (log (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))))
* [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) (cos lambda2)) (* (sin lambda2) (sin lambda1)))))))) R))
* * * * [misc]progress:  [ 42 / 76 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (exp (+ (log (* (cos phi1) (cos phi2))) (log (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))>
* [enter]simplify:  Simplifying (+ (log (* (cos phi1) (cos phi2))) (log (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* [exit]simplify:  Simplified to (+ (log (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (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 (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (log (* (cos phi2) (cos phi1))))))) R))
* * * * [misc]progress:  [ 43 / 76 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (exp (log (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))>
* * * * [misc]progress:  [ 44 / 76 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (log (exp (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))>
* * * * [misc]progress:  [ 45 / 76 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (cbrt (* (* (* (* (cos phi1) (cos phi1)) (cos phi1)) (* (* (cos phi2) (cos phi2)) (cos phi2))) (* (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))>
* [enter]simplify:  Simplifying (* (* (* (* (cos phi1) (cos phi1)) (cos phi1)) (* (* (cos phi2) (cos phi2)) (cos phi2))) (* (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (49 enodes)
* * [misc]simplify:  iters left: 4 (242 enodes)
* [exit]simplify:  Simplified to (* (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))) (* (* (pow (cos phi1) 3) (pow (cos phi2) 3)) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))))
* [misc]simplify:  Simplified (2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (cbrt (* (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))) (* (* (pow (cos phi1) 3) (pow (cos phi2) 3)) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))))))) R))
* * * * [misc]progress:  [ 46 / 76 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (cbrt (* (* (* (* (cos phi1) (cos phi2)) (* (cos phi1) (cos phi2))) (* (cos phi1) (cos phi2))) (* (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))>
* [enter]simplify:  Simplifying (* (* (* (* (cos phi1) (cos phi2)) (* (cos phi1) (cos phi2))) (* (cos phi1) (cos phi2))) (* (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (228 enodes)
* [exit]simplify:  Simplified to (* (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (pow (* (cos phi2) (cos phi1)) 3)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))))
* [misc]simplify:  Simplified (2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (cbrt (* (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (pow (* (cos phi2) (cos phi1)) 3)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))))))) R))
* * * * [misc]progress:  [ 47 / 76 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cbrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (cbrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (cbrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))>
* * * * [misc]progress:  [ 48 / 76 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (cbrt (* (* (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))>
* * * * [misc]progress:  [ 49 / 76 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (sqrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (sqrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))>
* * * * [misc]progress:  [ 50 / 76 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (/ (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (+ (* (+ (cos (+ lambda1 lambda2)) (cos (- lambda1 lambda2))) 2) (* 2 (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2)))))) (* 2 (* 2 2))))) R))>
* [enter]simplify:  Simplifying (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (+ (* (+ (cos (+ lambda1 lambda2)) (cos (- lambda1 lambda2))) 2) (* 2 (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (99 enodes)
* * [misc]simplify:  iters left: 3 (345 enodes)
* [exit]simplify:  Simplified to (* (* 2 (+ (cos (+ phi2 phi1)) (cos (- phi1 phi2)))) (+ (+ (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2)))))
* [misc]simplify:  Simplified (2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (/ (* (* 2 (+ (cos (+ phi2 phi1)) (cos (- phi1 phi2)))) (+ (+ (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))))) (* 2 (* 2 2))))) R))
* [enter]simplify:  Simplifying (* 2 (* 2 2))
* * [misc]simplify:  iters left: 4 (3 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to 8
* [misc]simplify:  Simplified (2 1 1 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (/ (* (* 2 (+ (cos (+ phi2 phi1)) (cos (- phi1 phi2)))) (+ (+ (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))))) 8))) R))
* * * * [misc]progress:  [ 51 / 76 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (/ (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (+ (pow (* (cos lambda1) (cos lambda2)) 3) (pow (* (sin lambda1) (sin lambda2)) 3))) (* 2 (+ (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (- (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) R))>
* [enter]simplify:  Simplifying (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (+ (pow (* (cos lambda1) (cos lambda2)) 3) (pow (* (sin lambda1) (sin lambda2)) 3)))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (143 enodes)
* [exit]simplify:  Simplified to (* (+ (pow (* (sin lambda2) (sin lambda1)) 3) (pow (* (cos lambda1) (cos lambda2)) 3)) (+ (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)) (/ (* (+ (pow (* (sin lambda2) (sin lambda1)) 3) (pow (* (cos lambda1) (cos lambda2)) 3)) (+ (cos (+ phi2 phi1)) (cos (- phi1 phi2)))) (* 2 (+ (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (- (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) R))
* [enter]simplify:  Simplifying (* 2 (+ (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (- (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (130 enodes)
* * [misc]simplify:  iters left: 3 (353 enodes)
* [exit]simplify:  Simplified to (+ (* (* (* (sin lambda1) 2) (sin lambda2)) (- (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (* (* (cos lambda2) (cos lambda1)) (* (* (cos lambda2) (cos lambda1)) 2)))
* [misc]simplify:  Simplified (2 1 1 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (/ (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (+ (pow (* (cos lambda1) (cos lambda2)) 3) (pow (* (sin lambda1) (sin lambda2)) 3))) (+ (* (* (* (sin lambda1) 2) (sin lambda2)) (- (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (* (* (cos lambda2) (cos lambda1)) (* (* (cos lambda2) (cos lambda1)) 2)))))) R))
* * * * [misc]progress:  [ 52 / 76 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (/ (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (- (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))))) (* 2 (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R))>
* [enter]simplify:  Simplifying (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (- (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (87 enodes)
* * [misc]simplify:  iters left: 3 (243 enodes)
* [exit]simplify:  Simplified to (* (* (+ (cos (+ phi2 phi1)) (cos (- phi1 phi2))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))))
* [misc]simplify:  Simplified (2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (/ (* (* (+ (cos (+ phi2 phi1)) (cos (- phi1 phi2))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))) (* 2 (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R))
* [enter]simplify:  Simplifying (* 2 (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (59 enodes)
* * [misc]simplify:  iters left: 2 (77 enodes)
* * [misc]simplify:  iters left: 1 (84 enodes)
* [exit]simplify:  Simplified to (* (- (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) 2)
* [misc]simplify:  Simplified (2 1 1 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (/ (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (- (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))))) (* (- (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) 2)))) R))
* * * * [misc]progress:  [ 53 / 76 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* 1 (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R))>
* * * * [misc]progress:  [ 54 / 76 ] 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 (79 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:  [ 55 / 76 ] 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 (79 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:  [ 56 / 76 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (* (cos phi1) (cos phi2)) (* (cbrt (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (cbrt (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (cbrt (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R))>
* [enter]simplify:  Simplifying (cbrt (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* [exit]simplify:  Simplified to (cbrt (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos 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)) (* (cbrt (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (cbrt (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (cbrt (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))))))) R))
* * * * [misc]progress:  [ 57 / 76 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (* (cos phi1) (cos phi2)) (sqrt (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (sqrt (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R))>
* [enter]simplify:  Simplifying (sqrt (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos 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)) (sqrt (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (sqrt (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))))))) R))
* * * * [misc]progress:  [ 58 / 76 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (* (cos phi1) (cos phi2)) 1) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
* [enter]simplify:  Simplifying (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))
* * [misc]simplify:  iters left: 5 (9 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* [exit]simplify:  Simplified to (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos 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)) 1) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))))) R))
* * * * [misc]progress:  [ 59 / 76 ] 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 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) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R))
* * * * [misc]progress:  [ 60 / 76 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (/ (* (* (cos phi1) (cos phi2)) (+ (* (+ (cos (+ lambda1 lambda2)) (cos (- lambda1 lambda2))) 2) (* 2 (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2)))))) (* 2 2)))) R))>
* [enter]simplify:  Simplifying (* 2 2)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (3 enodes)
* [exit]simplify:  Simplified to 4
* [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)) (cos (- lambda1 lambda2))) 2) (* 2 (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2)))))) 4))) R))
* * * * [misc]progress:  [ 61 / 76 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (/ (* (* (cos phi1) (cos phi2)) (+ (pow (* (cos lambda1) (cos lambda2)) 3) (pow (* (sin lambda1) (sin lambda2)) 3))) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (- (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))>
* [enter]simplify:  Simplifying (+ (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (- (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (97 enodes)
* * [misc]simplify:  iters left: 3 (219 enodes)
* * [misc]simplify:  iters left: 2 (368 enodes)
* * [misc]simplify:  iters left: 1 (455 enodes)
* [exit]simplify:  Simplified to (+ (* (* (cos lambda2) (cos lambda1)) (* (cos lambda2) (cos lambda1))) (* (- (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (* (sin lambda2) (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)) (+ (pow (* (cos lambda1) (cos lambda2)) 3) (pow (* (sin lambda1) (sin lambda2)) 3))) (+ (* (* (cos lambda2) (cos lambda1)) (* (cos lambda2) (cos lambda1))) (* (- (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (* (sin lambda2) (sin lambda1))))))) R))
* * * * [misc]progress:  [ 62 / 76 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (/ (* (* (cos phi1) (cos phi2)) (- (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
* [enter]simplify:  Simplifying (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))
* * [misc]simplify:  iters left: 5 (9 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* [exit]simplify:  Simplified to (- (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (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 lambda1) (cos lambda2))) (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))))) (- (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2)))))) R))
* * * * [misc]progress:  [ 63 / 76 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (/ (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) 2))) R))>
* [enter]simplify:  Simplifying (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (162 enodes)
* * [misc]simplify:  iters left: 2 (213 enodes)
* * [misc]simplify:  iters left: 1 (247 enodes)
* [exit]simplify:  Simplified to (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (+ (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) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (+ (cos (+ phi2 phi1)) (cos (- phi1 phi2)))) 2))) R))
* * * * [misc]progress:  [ 64 / 76 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))))) R))>
* * * * [misc]progress:  [ 65 / 76 ] 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:  [ 66 / 76 ] 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:  [ 67 / 76 ] 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:  [ 68 / 76 ] 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 (155 enodes)
* * [misc]simplify:  iters left: 2 (194 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:  [ 69 / 76 ] 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 (192 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:  [ 70 / 76 ] 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 (155 enodes)
* * [misc]simplify:  iters left: 2 (194 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:  [ 71 / 76 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* phi1 phi2) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
* [enter]simplify:  Simplifying (* phi1 phi2)
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to (* phi1 phi2)
* [misc]simplify:  Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* phi1 phi2) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
* * * * [misc]progress:  [ 72 / 76 ] 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 (* (sin phi1) (sin phi2))
* * [misc]simplify:  iters left: 3 (5 enodes)
* * [misc]simplify:  iters left: 2 (6 enodes)
* [exit]simplify:  Simplified to (* (sin phi2) (sin phi1))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
* * * * [misc]progress:  [ 73 / 76 ] 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 (* (sin phi1) (sin phi2))
* * [misc]simplify:  iters left: 3 (5 enodes)
* * [misc]simplify:  iters left: 2 (6 enodes)
* [exit]simplify:  Simplified to (* (sin phi2) (sin phi1))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
* * * * [misc]progress:  [ 74 / 76 ] 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 (48 enodes)
* * [misc]simplify:  iters left: 3 (89 enodes)
* * [misc]simplify:  iters left: 2 (124 enodes)
* * [misc]simplify:  iters left: 1 (156 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:  [ 75 / 76 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))) R))>
* [enter]simplify:  Simplifying (* (cos phi1) (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (72 enodes)
* * [misc]simplify:  iters left: 3 (151 enodes)
* * [misc]simplify:  iters left: 2 (196 enodes)
* [exit]simplify:  Simplified to (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (* (cos phi2) (cos phi1)))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (* (cos phi2) (cos phi1))))) R))
* * * * [misc]progress:  [ 76 / 76 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2))))) R))>
* [enter]simplify:  Simplifying (* (cos phi1) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (117 enodes)
* * [misc]simplify:  iters left: 2 (213 enodes)
* * [misc]simplify:  iters left: 1 (245 enodes)
* [exit]simplify:  Simplified to (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (cos phi2)))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (cos phi2))))) 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) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) 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 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 lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) in (phi1 phi2 lambda1 lambda2) around 0
* [misc]taylor:  Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) in lambda2
* [misc]backup-simplify:  Simplify (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos 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 (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) in lambda1
* [misc]backup-simplify:  Simplify (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos 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 (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) in phi2
* [misc]backup-simplify:  Simplify (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos 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 (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) in phi1
* [misc]backup-simplify:  Simplify (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos 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 (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) in phi1
* [misc]backup-simplify:  Simplify (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos 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 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 lambda1)) (cos (/ 1 lambda2))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2))))))) in (phi1 phi2 lambda1 lambda2) around 0
* [misc]taylor:  Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2))))))) in lambda2
* [misc]backup-simplify:  Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2))))))) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))))
* [misc]taylor:  Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2))))))) in lambda1
* [misc]backup-simplify:  Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2))))))) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))))
* [misc]taylor:  Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2))))))) in phi2
* [misc]backup-simplify:  Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2))))))) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))))
* [misc]taylor:  Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2))))))) in phi1
* [misc]backup-simplify:  Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2))))))) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))))
* [misc]taylor:  Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2))))))) in phi1
* [misc]backup-simplify:  Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2))))))) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))))
* [misc]taylor:  Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in phi2
* [misc]backup-simplify:  Simplify (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))))
* [misc]taylor:  Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in lambda1
* [misc]backup-simplify:  Simplify (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))))
* [misc]taylor:  Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in lambda2
* [misc]backup-simplify:  Simplify (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))))
* [misc]backup-simplify:  Simplify (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 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 lambda2))) (* (cos (/ 1 (/ 1 phi2))) (* (sin (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1)))))) (+ (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1)))))) (* (sin (/ 1 (/ 1 phi2))) (sin (/ 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 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))))))) in (phi1 phi2 lambda1 lambda2) around 0
* [misc]taylor:  Taking taylor expansion of (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (+ (* (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))))))) in lambda2
* [misc]backup-simplify:  Simplify (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (+ (* (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- phi1))) (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 (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (+ (* (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))))))) in lambda1
* [misc]backup-simplify:  Simplify (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (+ (* (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- phi1))) (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 (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (+ (* (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))))))) in phi2
* [misc]backup-simplify:  Simplify (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (+ (* (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- phi1))) (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 (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (+ (* (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))))))) in phi1
* [misc]backup-simplify:  Simplify (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (+ (* (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- phi1))) (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 (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (+ (* (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))))))) in phi1
* [misc]backup-simplify:  Simplify (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (+ (* (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- phi1))) (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 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 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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]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 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 (- phi2)))) (cos (/ -1 (/ 1 (- lambda2)))))))))) 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 (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))) in (lambda1 lambda2 phi1 phi2) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))) in phi2
* [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)) 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)) (* (cos phi1) (cos phi2))) in phi1
* [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)) 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)) (* (cos phi1) (cos phi2))) in lambda2
* [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)) 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)) (* (cos phi1) (cos phi2))) in lambda1
* [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)) 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)) (* (cos phi1) (cos phi2))) in lambda1
* [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)) 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]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 (* (cos phi1) 1) into (cos phi1)
* [misc]backup-simplify:  Simplify (* (sin phi1) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos phi1) 0) into (cos phi1)
* [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 (* (cos phi1) (cos phi2)) into (* (cos phi1) (cos phi2))
* [misc]backup-simplify:  Simplify (* 0 (* (cos phi1) (cos 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 phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi2
* [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 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 (+ (* (cos phi1) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin 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 phi1) 0) (* 0 (cos phi2))) 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]backup-simplify:  Simplify (+ (* 0 0) (* (sin lambda2) (* (cos phi1) (cos phi2)))) into (* (cos phi1) (* (cos phi2) (sin lambda2)))
* [misc]taylor:  Taking taylor expansion of (* (cos phi1) (* (cos phi2) (sin lambda2))) 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) (sin lambda2)) in lambda2
* [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 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 (* (cos phi1) 1) into (cos phi1)
* [misc]backup-simplify:  Simplify (* (sin phi1) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos phi1) 0) into (cos phi1)
* [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 (* (cos phi2) 0) into 0
* [misc]backup-simplify:  Simplify (* (cos phi1) 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 phi2
* [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 phi2
* [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]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 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 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos phi1) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin phi1) 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 phi1) 0) (+ (* 0 0) (* 0 (cos phi2)))) 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 (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin lambda2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* (sin lambda2) 0) (* 0 (* (cos phi1) (cos 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 phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi2
* [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 (* (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) in (lambda1 lambda2 phi1 phi2) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) in 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))) 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))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) in phi1
* [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))) 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))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) in lambda2
* [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))) 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))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) in lambda1
* [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))) 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))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) in lambda1
* [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))) 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]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 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 phi1)) (cos (/ 1 phi2))) into (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))
* [misc]backup-simplify:  Simplify (* (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) into (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1)))))
* [misc]taylor:  Taking taylor expansion of (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 (* (cos (/ 1 phi2)) (* (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 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 (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1)))) into (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) into (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1)))))
* [misc]taylor:  Taking taylor expansion of (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) in phi1
* [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 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1)))) in 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)) (cos (/ 1 phi1))) 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 (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]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 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 lambda1)) (cos (/ 1 phi1))) into (* (sin (/ 1 lambda1)) (cos (/ 1 phi1)))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1)))) into (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) into (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1)))))
* [misc]taylor:  Taking taylor expansion of (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 (* (cos (/ 1 phi2)) (* (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 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 (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1)))) into (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) into (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1)))))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) into (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1)))))
* [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 (+ 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 phi1)) 0) (* 0 (cos (/ 1 phi2)))) 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 lambda1)) 0) (* 0 (sin (/ 1 lambda2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 0) (* 0 (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) 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 phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi2
* [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 (+ (* (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 lambda1)) (cos (/ 1 phi1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1)))))) 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 phi2
* [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 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 (+ (* (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 lambda1)) (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 (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi2
* [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 (+ (* (cos (/ 1 phi2)) 0) (* 0 (* (sin (/ 1 lambda1)) (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 (* (cos (/ 1 phi2)) (* (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 (+ (* (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 (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 phi1)) 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 (+ (* -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 (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 0) (+ (* 0 0) (* 0 (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))) 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 phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi2
* [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 phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (sin (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 phi2))) (* (sin (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1)))))) into (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1))))
* [misc]approximate:  Taking taylor expansion of (* (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) in (lambda1 lambda2 phi1 phi2) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) in 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)))) 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)))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) in phi1
* [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)))) 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)))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) in lambda2
* [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)))) 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)))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) in lambda1
* [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)))) 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)))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) in lambda1
* [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)))) 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]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)) 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 phi1)) (cos (/ -1 phi2))) into (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))
* [misc]backup-simplify:  Simplify (* (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))) into (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))))
* [misc]taylor:  Taking taylor expansion of (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) 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)) (* (cos (/ -1 phi2)) (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 -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 (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))) 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 (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]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 (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda2)) (cos (/ -1 phi2)))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 lambda1)) (* (sin (/ -1 lambda2)) (cos (/ -1 phi2)))) into (* (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]taylor:  Taking taylor expansion of (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) 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 -1 in phi1
* [misc]backup-simplify:  Simplify -1 into -1
* [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 (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (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 -1 in phi1
* [misc]backup-simplify:  Simplify -1 into -1
* [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 (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))) in 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 -1 in phi1
* [misc]backup-simplify:  Simplify -1 into -1
* [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 lambda2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ -1 lambda2) in phi1
* [misc]taylor:  Taking taylor expansion of -1 in phi1
* [misc]backup-simplify:  Simplify -1 into -1
* [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 (* (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)) 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)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda2)) (cos (/ -1 phi2)))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 lambda1)) (* (sin (/ -1 lambda2)) (cos (/ -1 phi2)))) into (* (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]taylor:  Taking taylor expansion of (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) 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)) (* (cos (/ -1 phi2)) (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 -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 (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))) 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 (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]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 (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda2)) (cos (/ -1 phi2)))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 lambda1)) (* (sin (/ -1 lambda2)) (cos (/ -1 phi2)))) into (* (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 (* (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 (+ 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 (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [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 phi1)) 0) (* 0 (cos (/ -1 phi2)))) 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) 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 (+ (* (sin (/ -1 lambda1)) 0) (* 0 (sin (/ -1 lambda2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 0) (* 0 (* (cos (/ -1 phi1)) (cos (/ -1 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 phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi2
* [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 (sin (/ -1 lambda2)))) 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 (* (sin (/ -1 lambda2)) (cos (/ -1 phi2))))) 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)) (* (sin (/ -1 lambda2)) (cos (/ -1 phi2)))))) 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 phi2
* [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 (+ 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 (sin (/ -1 lambda2)))) 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 (* (sin (/ -1 lambda2)) (cos (/ -1 phi2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 (* (sin (/ -1 lambda1)) (* (sin (/ -1 lambda2)) (cos (/ -1 phi2)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi2
* [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 (+ (* (cos (/ -1 phi2)) 0) (* 0 (sin (/ -1 lambda2)))) 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 (* (sin (/ -1 lambda2)) (cos (/ -1 phi2))))) 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)) (* (sin (/ -1 lambda2)) (cos (/ -1 phi2)))))) 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 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 (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 phi1) (/ 0 (- phi1))) (* 0 (/ 0 (- phi1))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 phi1)) 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 (+ (* -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 (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 0) (+ (* 0 0) (* 0 (* (cos (/ -1 phi1)) (cos (/ -1 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 phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi2
* [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 phi2
* [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)))) (* (sin (/ -1 (/ 1 (- lambda2)))) (cos (/ -1 (/ 1 (- phi2))))))) 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 lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0
* [misc]taylor:  Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R) in R
* [misc]taylor:  Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) in R
* [misc]backup-simplify:  Simplify (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos 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 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 lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R) in lambda2
* [misc]taylor:  Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) in lambda2
* [misc]backup-simplify:  Simplify (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos 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 R in lambda2
* [misc]backup-simplify:  Simplify R into R
* [misc]taylor:  Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R) in lambda1
* [misc]taylor:  Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) in lambda1
* [misc]backup-simplify:  Simplify (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos 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 R in lambda1
* [misc]backup-simplify:  Simplify R into R
* [misc]taylor:  Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R) in phi2
* [misc]taylor:  Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) in phi2
* [misc]backup-simplify:  Simplify (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos 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 R in phi2
* [misc]backup-simplify:  Simplify R into R
* [misc]taylor:  Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R) in phi1
* [misc]taylor:  Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) in phi1
* [misc]backup-simplify:  Simplify (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos 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 R in phi1
* [misc]backup-simplify:  Simplify R into R
* [misc]taylor:  Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R) in phi1
* [misc]taylor:  Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) in phi1
* [misc]backup-simplify:  Simplify (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos 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 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 lambda1)) (cos (/ 1 lambda2))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2))))))) (/ 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 lambda1)) (cos (/ 1 lambda2))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2))))))) (/ 1 R)) in R
* [misc]taylor:  Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2))))))) in R
* [misc]backup-simplify:  Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2))))))) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 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 lambda1)) (cos (/ 1 lambda2))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2))))))) (/ 1 R)) in lambda2
* [misc]taylor:  Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2))))))) in lambda2
* [misc]backup-simplify:  Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2))))))) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 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 lambda1)) (cos (/ 1 lambda2))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2))))))) (/ 1 R)) in lambda1
* [misc]taylor:  Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2))))))) in lambda1
* [misc]backup-simplify:  Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2))))))) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 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 lambda1)) (cos (/ 1 lambda2))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2))))))) (/ 1 R)) in phi2
* [misc]taylor:  Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2))))))) in phi2
* [misc]backup-simplify:  Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2))))))) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 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 lambda1)) (cos (/ 1 lambda2))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2))))))) (/ 1 R)) in phi1
* [misc]taylor:  Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2))))))) in phi1
* [misc]backup-simplify:  Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2))))))) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 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 lambda1)) (cos (/ 1 lambda2))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2))))))) (/ 1 R)) in phi1
* [misc]taylor:  Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2))))))) in phi1
* [misc]backup-simplify:  Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2))))))) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 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 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) (/ 1 R)) into (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) R)
* [misc]taylor:  Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) R) in phi2
* [misc]taylor:  Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in phi2
* [misc]backup-simplify:  Simplify (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 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 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) R) into (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) R)
* [misc]taylor:  Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) R) in lambda1
* [misc]taylor:  Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in lambda1
* [misc]backup-simplify:  Simplify (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 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 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) R) into (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) R)
* [misc]taylor:  Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) R) in lambda2
* [misc]taylor:  Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in lambda2
* [misc]backup-simplify:  Simplify (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 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 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) R) into (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) R)
* [misc]taylor:  Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) R) in R
* [misc]taylor:  Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in R
* [misc]backup-simplify:  Simplify (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 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 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) 1) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))))
* [misc]backup-simplify:  Simplify (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 R) (/ 0 R)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 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 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 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 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 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 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 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 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 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 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 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 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 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 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 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 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 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 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (acos (+ (* (sin (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 phi2))) (* (sin (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1)))))) (+ (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1)))))) (* (sin (/ 1 (/ 1 phi2))) (sin (/ 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 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))))))) (/ 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 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))))))) (/ 1 (- R))) in R
* [misc]taylor:  Taking taylor expansion of (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (+ (* (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))))))) in R
* [misc]backup-simplify:  Simplify (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (+ (* (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- phi1))) (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 (/ 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 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))))))) (/ 1 (- R))) in lambda2
* [misc]taylor:  Taking taylor expansion of (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (+ (* (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))))))) in lambda2
* [misc]backup-simplify:  Simplify (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (+ (* (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- phi1))) (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 (/ 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 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))))))) (/ 1 (- R))) in lambda1
* [misc]taylor:  Taking taylor expansion of (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (+ (* (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))))))) in lambda1
* [misc]backup-simplify:  Simplify (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (+ (* (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- phi1))) (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 (/ 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 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))))))) (/ 1 (- R))) in phi2
* [misc]taylor:  Taking taylor expansion of (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (+ (* (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))))))) in phi2
* [misc]backup-simplify:  Simplify (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (+ (* (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- phi1))) (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 (/ 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 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))))))) (/ 1 (- R))) in phi1
* [misc]taylor:  Taking taylor expansion of (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (+ (* (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))))))) in phi1
* [misc]backup-simplify:  Simplify (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (+ (* (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- phi1))) (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 (/ 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 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))))))) (/ 1 (- R))) in phi1
* [misc]taylor:  Taking taylor expansion of (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (+ (* (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))))))) in phi1
* [misc]backup-simplify:  Simplify (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (+ (* (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- phi1))) (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 (/ 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 (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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 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 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 lambda2)) (cos (/ -1 phi2)))))))) 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 lambda2)) (cos (/ -1 phi2)))))))) 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 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 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 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 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 phi2)) (cos (/ -1 lambda2)))))))) 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 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 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 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 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 lambda2)) (cos (/ -1 phi2)))))))) 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 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]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 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 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 phi2)) (cos (/ -1 lambda2)))))))) 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 phi2)) (cos (/ -1 lambda2)))))))) 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 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 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 lambda2)) (cos (/ -1 phi2)))))))) 1) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))
* [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 (* -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 (- 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 (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 0) (* 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 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 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 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 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 phi2)) (cos (/ -1 lambda2)))))))) (/ 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 phi2)) (cos (/ -1 lambda2)))))))))) 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 (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 0) (+ (* 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 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 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 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 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 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 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 phi2)) (cos (/ -1 lambda2)))))))) (/ 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 phi2)) (cos (/ -1 lambda2))))))))))) 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 (- phi2)))) (cos (/ -1 (/ 1 (- lambda2))))))))))) (* (/ 1 (/ 1 (- R))) (* 1 (* 1 (* 1 1))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
* * * * [misc]progress:  [ 4 / 4 ] generating series at (2 1 1 1)
* [misc]approximate:  Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0
* [misc]taylor:  Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of (sin phi1) in phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (sin phi1) into (sin phi1)
* [misc]backup-simplify:  Simplify (cos phi1) into (cos phi1)
* [misc]taylor:  Taking taylor expansion of (sin 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 phi1) (sin phi2)) in phi1
* [misc]taylor:  Taking taylor expansion of (sin 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 (sin phi2) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (sin phi2) into (sin phi2)
* [misc]backup-simplify:  Simplify (cos phi2) into (cos phi2)
* [misc]taylor:  Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1
* [misc]taylor:  Taking taylor expansion of (sin 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 (sin phi2) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (sin phi2) into (sin phi2)
* [misc]backup-simplify:  Simplify (cos phi2) into (cos phi2)
* [misc]backup-simplify:  Simplify (* (sin phi2) 1) into (sin phi2)
* [misc]backup-simplify:  Simplify (* (cos phi2) 0) into 0
* [misc]backup-simplify:  Simplify (+ (sin phi2) 0) into (sin phi2)
* [misc]backup-simplify:  Simplify (* 0 (sin phi2)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi2
* [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 phi2) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos phi2) 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 phi2))) into (sin phi2)
* [misc]taylor:  Taking taylor expansion of (sin 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 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (* 0 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 (+ (* 0 0) (+ (* 1 0) (* 0 (sin phi2)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6)
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* (- 1/6) (sin phi2))))) into (- (* 1/6 (sin phi2)))
* [misc]taylor:  Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/6 (sin phi2)) in phi2
* [misc]taylor:  Taking taylor expansion of 1/6 in phi2
* [misc]backup-simplify:  Simplify 1/6 into 1/6
* [misc]taylor:  Taking taylor expansion of (sin 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 (* 1/6 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 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* (- 1/6) 0) (* 0 (sin phi2)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1 (* phi2 phi1)) into (* phi1 phi2)
* [misc]approximate:  Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0
* [misc]taylor:  Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2
* [misc]taylor:  Taking taylor expansion of (sin (/ 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 (sin (/ 1 phi1)) into (sin (/ 1 phi1))
* [misc]backup-simplify:  Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1))
* [misc]taylor:  Taking taylor expansion of (sin (/ 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 (sin (/ 1 phi2)) into (sin (/ 1 phi2))
* [misc]taylor:  Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1
* [misc]taylor:  Taking taylor expansion of (sin (/ 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 (sin (/ 1 phi1)) into (sin (/ 1 phi1))
* [misc]taylor:  Taking taylor expansion of (sin (/ 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 (sin (/ 1 phi2)) into (sin (/ 1 phi2))
* [misc]backup-simplify:  Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2))
* [misc]taylor:  Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1
* [misc]taylor:  Taking taylor expansion of (sin (/ 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 (sin (/ 1 phi1)) into (sin (/ 1 phi1))
* [misc]taylor:  Taking taylor expansion of (sin (/ 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 (sin (/ 1 phi2)) into (sin (/ 1 phi2))
* [misc]backup-simplify:  Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 phi2)) 1) into (sin (/ 1 phi2))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 phi2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (sin (/ 1 phi2)) 0) into (sin (/ 1 phi2))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))
* [misc]taylor:  Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi2
* [misc]taylor:  Taking taylor expansion of (sin (/ 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 (sin (/ 1 phi2)) into (sin (/ 1 phi2))
* [misc]taylor:  Taking taylor expansion of (sin (/ 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 (sin (/ 1 phi1)) into (sin (/ 1 phi1))
* [misc]backup-simplify:  Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 phi1)) 1) into (sin (/ 1 phi1))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 phi1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (sin (/ 1 phi1)) 0) into (sin (/ 1 phi1))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 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 (+ (* (cos (/ 1 phi2)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 (sin (/ 1 phi2)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi2
* [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 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 (+ (* (cos (/ 1 phi1)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 (sin (/ 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 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 (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi2
* [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 (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 phi2)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) into (* (sin phi1) (sin phi2))
* [misc]approximate:  Taking taylor expansion of (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) in (phi1 phi2) around 0
* [misc]taylor:  Taking taylor expansion of (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) in phi2
* [misc]taylor:  Taking taylor expansion of (sin (/ 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 (sin (/ -1 phi1)) into (sin (/ -1 phi1))
* [misc]backup-simplify:  Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1))
* [misc]taylor:  Taking taylor expansion of (sin (/ 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 (sin (/ 1 (- phi2))) into (sin (/ -1 phi2))
* [misc]taylor:  Taking taylor expansion of (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) in phi1
* [misc]taylor:  Taking taylor expansion of (sin (/ 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 (sin (/ 1 (- phi1))) into (sin (/ -1 phi1))
* [misc]taylor:  Taking taylor expansion of (sin (/ 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 (sin (/ -1 phi2)) into (sin (/ -1 phi2))
* [misc]backup-simplify:  Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2))
* [misc]taylor:  Taking taylor expansion of (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) in phi1
* [misc]taylor:  Taking taylor expansion of (sin (/ 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 (sin (/ 1 (- phi1))) into (sin (/ -1 phi1))
* [misc]taylor:  Taking taylor expansion of (sin (/ 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 (sin (/ -1 phi2)) into (sin (/ -1 phi2))
* [misc]backup-simplify:  Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 phi2)) 1) into (sin (/ -1 phi2))
* [misc]backup-simplify:  Simplify (* (cos (/ -1 phi2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (sin (/ -1 phi2)) 0) into (sin (/ -1 phi2))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))
* [misc]taylor:  Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2
* [misc]taylor:  Taking taylor expansion of (sin (/ -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 (sin (/ -1 phi1)) into (sin (/ -1 phi1))
* [misc]backup-simplify:  Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1))
* [misc]taylor:  Taking taylor expansion of (sin (/ -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 (sin (/ -1 phi2)) into (sin (/ -1 phi2))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 phi1)) 1) into (sin (/ -1 phi1))
* [misc]backup-simplify:  Simplify (* (cos (/ -1 phi1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (sin (/ -1 phi1)) 0) into (sin (/ -1 phi1))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -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 (+ (* (cos (/ -1 phi2)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi2
* [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 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 (+ (* (cos (/ -1 phi1)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) 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 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 (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi2
* [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 (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 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 (- 0) into 0
* [misc]backup-simplify:  Simplify (- phi2) into (- phi2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 phi2) (/ 0 (- phi2))) (* 0 (/ 0 (- phi2))) (* 0 (/ 0 (- phi2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) into (* (sin phi1) (sin phi2))
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) R))>
* * * * [misc]progress:  [ 2 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (pow (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) 1) R))>
* * * * [misc]progress:  [ 3 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R))>
* * * * [misc]progress:  [ 4 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R))>
* * * * [misc]progress:  [ 5 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R))>
* * * * [misc]progress:  [ 6 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (cbrt (* (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R))>
* * * * [misc]progress:  [ 7 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R))>
* * * * [misc]progress:  [ 8 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* 1 (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) R))>
* * * * [misc]progress:  [ 9 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (pow (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))) 1)))) 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 (79 enodes)
* [exit]simplify:  Simplified to (* (* (cos phi2) (sin lambda2)) (* (cos phi1) (sin lambda1)))
* [misc]simplify:  Simplified (2 1 1 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (pow (* (* (cos phi2) (sin lambda2)) (* (cos phi1) (sin lambda1))) 1)))) R))
* * * * [misc]progress:  [ 10 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (pow (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))) 1)))) 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 (79 enodes)
* [exit]simplify:  Simplified to (* (* (cos phi2) (sin lambda2)) (* (cos phi1) (sin lambda1)))
* [misc]simplify:  Simplified (2 1 1 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (pow (* (* (cos phi2) (sin lambda2)) (* (cos phi1) (sin lambda1))) 1)))) R))
* * * * [misc]progress:  [ 11 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (pow (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))) 1)))) 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 (79 enodes)
* [exit]simplify:  Simplified to (* (* (cos phi2) (sin lambda2)) (* (cos phi1) (sin lambda1)))
* [misc]simplify:  Simplified (2 1 1 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (pow (* (* (cos phi2) (sin lambda2)) (* (cos phi1) (sin lambda1))) 1)))) R))
* * * * [misc]progress:  [ 12 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (pow (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))) 1)))) 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 (79 enodes)
* [exit]simplify:  Simplified to (* (* (cos phi2) (sin lambda2)) (* (cos phi1) (sin lambda1)))
* [misc]simplify:  Simplified (2 1 1 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (pow (* (* (cos phi2) (sin lambda2)) (* (cos phi1) (sin lambda1))) 1)))) R))
* * * * [misc]progress:  [ 13 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (pow (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))) 1)))) R))>
* * * * [misc]progress:  [ 14 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (exp (+ (+ (log (sin lambda1)) (log (sin lambda2))) (+ (log (cos phi1)) (log (cos phi2)))))))) R))>
* [enter]simplify:  Simplifying (+ (+ (log (sin lambda1)) (log (sin lambda2))) (+ (log (cos phi1)) (log (cos phi2))))
* * [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 (81 enodes)
* [exit]simplify:  Simplified to (+ (+ (log (sin lambda2)) (log (cos phi2))) (+ (log (cos phi1)) (log (sin lambda1))))
* [misc]simplify:  Simplified (2 1 1 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (exp (+ (+ (log (sin lambda2)) (log (cos phi2))) (+ (log (cos phi1)) (log (sin lambda1)))))))) R))
* * * * [misc]progress:  [ 15 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (exp (+ (+ (log (sin lambda1)) (log (sin lambda2))) (log (* (cos phi1) (cos phi2)))))))) R))>
* [enter]simplify:  Simplifying (+ (+ (log (sin lambda1)) (log (sin lambda2))) (log (* (cos phi1) (cos phi2))))
* * [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 (60 enodes)
* * [misc]simplify:  iters left: 2 (74 enodes)
* [exit]simplify:  Simplified to (+ (log (* (cos phi1) (cos phi2))) (+ (log (sin lambda2)) (log (sin lambda1))))
* [misc]simplify:  Simplified (2 1 1 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (exp (+ (log (* (cos phi1) (cos phi2))) (+ (log (sin lambda2)) (log (sin lambda1)))))))) R))
* * * * [misc]progress:  [ 16 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (exp (+ (log (* (sin lambda1) (sin lambda2))) (+ (log (cos phi1)) (log (cos phi2)))))))) R))>
* [enter]simplify:  Simplifying (+ (log (* (sin lambda1) (sin lambda2))) (+ (log (cos phi1)) (log (cos phi2))))
* * [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 (* (sin lambda2) (sin lambda1))) (+ (log (cos phi1)) (log (cos phi2))))
* [misc]simplify:  Simplified (2 1 1 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (exp (+ (log (* (sin lambda2) (sin lambda1))) (+ (log (cos phi1)) (log (cos phi2)))))))) R))
* * * * [misc]progress:  [ 17 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (exp (+ (log (* (sin lambda1) (sin lambda2))) (log (* (cos phi1) (cos phi2)))))))) R))>
* [enter]simplify:  Simplifying (+ (log (* (sin lambda1) (sin lambda2))) (log (* (cos phi1) (cos phi2))))
* * [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 (* (sin lambda2) (sin lambda1))) (log (* (cos phi2) (cos phi1))))
* [misc]simplify:  Simplified (2 1 1 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (exp (+ (log (* (sin lambda2) (sin lambda1))) (log (* (cos phi2) (cos phi1)))))))) R))
* * * * [misc]progress:  [ 18 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (exp (log (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R))>
* * * * [misc]progress:  [ 19 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (log (exp (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R))>
* * * * [misc]progress:  [ 20 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (cbrt (* (* (* (* (sin lambda1) (sin lambda1)) (sin lambda1)) (* (* (sin lambda2) (sin lambda2)) (sin lambda2))) (* (* (* (cos phi1) (cos phi1)) (cos phi1)) (* (* (cos phi2) (cos phi2)) (cos phi2)))))))) R))>
* [enter]simplify:  Simplifying (* (* (* (* (sin lambda1) (sin lambda1)) (sin lambda1)) (* (* (sin lambda2) (sin lambda2)) (sin lambda2))) (* (* (* (cos phi1) (cos phi1)) (cos phi1)) (* (* (cos phi2) (cos phi2)) (cos phi2))))
* * [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 (sin lambda1) 3) (pow (sin lambda2) 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 lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (cbrt (* (* (pow (sin lambda1) 3) (pow (sin lambda2) 3)) (* (pow (cos phi1) 3) (pow (cos phi2) 3))))))) R))
* * * * [misc]progress:  [ 21 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (cbrt (* (* (* (* (sin lambda1) (sin lambda1)) (sin lambda1)) (* (* (sin lambda2) (sin lambda2)) (sin lambda2))) (* (* (* (cos phi1) (cos phi2)) (* (cos phi1) (cos phi2))) (* (cos phi1) (cos phi2)))))))) R))>
* [enter]simplify:  Simplifying (* (* (* (* (sin lambda1) (sin lambda1)) (sin lambda1)) (* (* (sin lambda2) (sin lambda2)) (sin lambda2))) (* (* (* (cos phi1) (cos phi2)) (* (cos phi1) (cos phi2))) (* (cos phi1) (cos phi2))))
* * [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 phi2) (cos phi1)) 3) (* (pow (sin lambda1) 3) (pow (sin lambda2) 3)))
* [misc]simplify:  Simplified (2 1 1 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (cbrt (* (pow (* (cos phi2) (cos phi1)) 3) (* (pow (sin lambda1) 3) (pow (sin lambda2) 3))))))) R))
* * * * [misc]progress:  [ 22 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (cbrt (* (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2))) (* (* (* (cos phi1) (cos phi1)) (cos phi1)) (* (* (cos phi2) (cos phi2)) (cos phi2)))))))) R))>
* [enter]simplify:  Simplifying (* (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2))) (* (* (* (cos phi1) (cos phi1)) (cos phi1)) (* (* (cos phi2) (cos phi2)) (cos phi2))))
* * [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 phi2) 3) (pow (cos phi1) 3)) (pow (* (sin lambda2) (sin lambda1)) 3))
* [misc]simplify:  Simplified (2 1 1 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (cbrt (* (* (pow (cos phi2) 3) (pow (cos phi1) 3)) (pow (* (sin lambda2) (sin lambda1)) 3)))))) R))
* * * * [misc]progress:  [ 23 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (cbrt (* (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2))) (* (* (* (cos phi1) (cos phi2)) (* (cos phi1) (cos phi2))) (* (cos phi1) (cos phi2)))))))) R))>
* [enter]simplify:  Simplifying (* (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2))) (* (* (* (cos phi1) (cos phi2)) (* (cos phi1) (cos phi2))) (* (cos phi1) (cos phi2))))
* * [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 (466 enodes)
* [exit]simplify:  Simplified to (* (pow (* (cos phi1) (cos phi2)) 3) (pow (* (sin lambda2) (sin lambda1)) 3))
* [misc]simplify:  Simplified (2 1 1 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (cbrt (* (pow (* (cos phi1) (cos phi2)) 3) (pow (* (sin lambda2) (sin lambda1)) 3)))))) R))
* * * * [misc]progress:  [ 24 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (cbrt (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))) (cbrt (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))) (cbrt (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R))>
* * * * [misc]progress:  [ 25 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (cbrt (* (* (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R))>
* * * * [misc]progress:  [ 26 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (sqrt (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))) (sqrt (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) R))>
* * * * [misc]progress:  [ 27 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (/ (* (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2)))) (* 2 2))))) R))>
* [enter]simplify:  Simplifying (* (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (95 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (241 enodes)
* [exit]simplify:  Simplified to (* (+ (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (- (cos (- lambda1 lambda2)) (cos (+ lambda2 lambda1))))
* [misc]simplify:  Simplified (2 1 1 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (/ (* (+ (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (- (cos (- lambda1 lambda2)) (cos (+ lambda2 lambda1)))) (* 2 2))))) R))
* [enter]simplify:  Simplifying (* 2 2)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (3 enodes)
* [exit]simplify:  Simplified to 4
* [misc]simplify:  Simplified (2 1 1 2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (/ (* (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2)))) 4)))) R))
* * * * [misc]progress:  [ 28 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* 1 (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) R))>
* * * * [misc]progress:  [ 29 / 74 ] 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 (cos phi2)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (cos phi2)
* [misc]simplify:  Simplified (2 1 1 2 2 2) to (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))
* * * * [misc]progress:  [ 30 / 74 ] 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)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (sin lambda1)
* [misc]simplify:  Simplified (2 1 1 2 2 1) to (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))
* * * * [misc]progress:  [ 31 / 74 ] 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 phi2)) (cos (- phi1 phi2)))) 2)))) R))>
* * * * [misc]progress:  [ 32 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (/ (* (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) (* (cos phi1) (cos phi2))) 2)))) R))>
* [enter]simplify:  Simplifying (* (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) (* (cos phi1) (cos phi2)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (68 enodes)
* * [misc]simplify:  iters left: 2 (101 enodes)
* * [misc]simplify:  iters left: 1 (153 enodes)
* [exit]simplify:  Simplified to (* (* (cos phi1) (cos phi2)) (- (cos (- lambda1 lambda2)) (cos (+ lambda2 lambda1))))
* [misc]simplify:  Simplified (2 1 1 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (/ (* (* (cos phi1) (cos phi2)) (- (cos (- lambda1 lambda2)) (cos (+ lambda2 lambda1)))) 2)))) R))
* * * * [misc]progress:  [ 33 / 74 ] 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:  [ 34 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R) 1))>
* * * * [misc]progress:  [ 35 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (exp (log (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))))>
* * * * [misc]progress:  [ 36 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (log (exp (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))))>
* * * * [misc]progress:  [ 37 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))))>
* * * * [misc]progress:  [ 38 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (cbrt (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R)) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))))>
* * * * [misc]progress:  [ 39 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))))>
* * * * [misc]progress:  [ 40 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* 1 (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R)))>
* * * * [misc]progress:  [ 41 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))) (* (cbrt (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 (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))))
* * [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 (177 enodes)
* [exit]simplify:  Simplified to (* (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))))))) (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))))))))
* [misc]simplify:  Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))))))) (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) R)))
* * * * [misc]progress:  [ 42 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) (* (sqrt (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 (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))))
* * [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 (156 enodes)
* * [misc]simplify:  iters left: 2 (182 enodes)
* [exit]simplify:  Simplified to (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))))))
* [misc]simplify:  Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))))))) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) R)))
* * * * [misc]progress:  [ 43 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* 1 (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R)))>
* * * * [misc]progress:  [ 44 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))))>
* * * * [misc]progress:  [ 45 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (/ (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) 2) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))>
* [enter]simplify:  Simplifying (- (cos (- phi1 phi2)) (cos (+ phi1 phi2)))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* * [misc]simplify:  iters left: 3 (14 enodes)
* [exit]simplify:  Simplified to (- (cos (- phi1 phi2)) (cos (+ phi2 phi1)))
* [misc]simplify:  Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (/ (- (cos (- phi1 phi2)) (cos (+ phi2 phi1))) 2) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))
* * * * [misc]progress:  [ 46 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (pow (* (sin phi1) (sin phi2)) 1) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))>
* [enter]simplify:  Simplifying (* (sin phi1) (sin phi2))
* * [misc]simplify:  iters left: 3 (5 enodes)
* * [misc]simplify:  iters left: 2 (6 enodes)
* [exit]simplify:  Simplified to (* (sin phi2) (sin phi1))
* [misc]simplify:  Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (pow (* (sin phi2) (sin phi1)) 1) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))
* * * * [misc]progress:  [ 47 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (pow (* (sin phi1) (sin phi2)) 1) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))>
* * * * [misc]progress:  [ 48 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (exp (+ (log (sin phi1)) (log (sin phi2)))) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))>
* [enter]simplify:  Simplifying (+ (log (sin phi1)) (log (sin phi2)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (+ (log (sin phi2)) (log (sin phi1)))
* [misc]simplify:  Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (exp (+ (log (sin phi2)) (log (sin phi1)))) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))
* * * * [misc]progress:  [ 49 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (exp (log (* (sin phi1) (sin phi2)))) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))>
* * * * [misc]progress:  [ 50 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))>
* * * * [misc]progress:  [ 51 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2)))) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))>
* [enter]simplify:  Simplifying (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (75 enodes)
* * [misc]simplify:  iters left: 2 (99 enodes)
* * [misc]simplify:  iters left: 1 (102 enodes)
* [exit]simplify:  Simplified to (pow (* (sin phi2) (sin phi1)) 3)
* [misc]simplify:  Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (pow (* (sin phi2) (sin phi1)) 3)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))
* * * * [misc]progress:  [ 52 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2)))) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))>
* * * * [misc]progress:  [ 53 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2)))) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))>
* * * * [misc]progress:  [ 54 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2)))) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))>
* * * * [misc]progress:  [ 55 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* 1 (* (sin phi1) (sin phi2))) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))>
* * * * [misc]progress:  [ 56 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (cbrt (sin phi2))) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))>
* [enter]simplify:  Simplifying (cbrt (sin phi2))
* * [misc]simplify:  iters left: 2 (3 enodes)
* [exit]simplify:  Simplified to (cbrt (sin phi2))
* [misc]simplify:  Simplified (2 1 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (cbrt (sin phi2))) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))
* * * * [misc]progress:  [ 57 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sin phi1) (sqrt (sin phi2))) (sqrt (sin phi2))) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (sin phi2))
* * [misc]simplify:  iters left: 2 (3 enodes)
* [exit]simplify:  Simplified to (sqrt (sin phi2))
* [misc]simplify:  Simplified (2 1 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sin phi1) (sqrt (sin phi2))) (sqrt (sin phi2))) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))
* * * * [misc]progress:  [ 58 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sin phi1) 1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))>
* [enter]simplify:  Simplifying (sin phi2)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (sin phi2)
* [misc]simplify:  Simplified (2 1 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sin phi1) 1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))
* * * * [misc]progress:  [ 59 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (cbrt (sin phi1)) (cbrt (sin phi1))) (* (cbrt (sin phi1)) (sin phi2))) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))>
* [enter]simplify:  Simplifying (* (cbrt (sin phi1)) (cbrt (sin phi1)))
* * [misc]simplify:  iters left: 4 (4 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sin phi1)) (cbrt (sin phi1)))
* [misc]simplify:  Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (cbrt (sin phi1)) (cbrt (sin phi1))) (* (cbrt (sin phi1)) (sin phi2))) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))
* * * * [misc]progress:  [ 60 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sqrt (sin phi1)) (* (sqrt (sin phi1)) (sin phi2))) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))>
* [enter]simplify:  Simplifying (sqrt (sin phi1))
* * [misc]simplify:  iters left: 2 (3 enodes)
* [exit]simplify:  Simplified to (sqrt (sin phi1))
* [misc]simplify:  Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sqrt (sin phi1)) (* (sqrt (sin phi1)) (sin phi2))) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))
* * * * [misc]progress:  [ 61 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* 1 (* (sin phi1) (sin phi2))) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))>
* * * * [misc]progress:  [ 62 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi2) (sin phi1)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))>
* * * * [misc]progress:  [ 63 / 74 ] 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:  [ 64 / 74 ] 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:  [ 65 / 74 ] 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:  [ 66 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) 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 lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) 0))) R))
* * * * [misc]progress:  [ 67 / 74 ] 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 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 lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (cos phi1) (sin lambda1)) (* (cos phi2) (sin lambda2)))))) R))
* * * * [misc]progress:  [ 68 / 74 ] 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))>
* [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 lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (cos phi1) (sin lambda2)) (* (cos phi2) (sin lambda1)))))) R))
* * * * [misc]progress:  [ 69 / 74 ] 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 (155 enodes)
* * [misc]simplify:  iters left: 2 (194 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:  [ 70 / 74 ] 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 (192 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:  [ 71 / 74 ] 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 (155 enodes)
* * [misc]simplify:  iters left: 2 (194 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:  [ 72 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* phi1 phi2) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))>
* [enter]simplify:  Simplifying (* phi1 phi2)
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to (* phi1 phi2)
* [misc]simplify:  Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* phi1 phi2) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))
* * * * [misc]progress:  [ 73 / 74 ] 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 phi1) (sin phi2))
* * [misc]simplify:  iters left: 3 (5 enodes)
* * [misc]simplify:  iters left: 2 (6 enodes)
* [exit]simplify:  Simplified to (* (sin phi2) (sin phi1))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi2) (sin phi1)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))
* * * * [misc]progress:  [ 74 / 74 ] 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 phi1) (sin phi2))
* * [misc]simplify:  iters left: 3 (5 enodes)
* * [misc]simplify:  iters left: 2 (6 enodes)
* [exit]simplify:  Simplified to (* (sin phi2) (sin phi1))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi2) (sin phi1)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) 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) (* (acos (+ (cbrt (pow (* (sin phi2) (sin phi1)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin 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 1)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 4 ] generating series at (2 1 1 1)
* [misc]approximate:  Taking taylor expansion of (cbrt (pow (* (sin phi2) (sin phi1)) 3)) in (phi2 phi1) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (pow (* (sin phi2) (sin phi1)) 3)) in phi1
* [misc]taylor:  Rewrote expression to (pow (pow (* (sin phi2) (sin phi1)) 3) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (pow (* (sin phi2) (sin phi1)) 3)))) in phi1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (pow (* (sin phi2) (sin phi1)) 3))) in phi1
* [misc]taylor:  Taking taylor expansion of 1/3 in phi1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (pow (* (sin phi2) (sin phi1)) 3)) in phi1
* [misc]taylor:  Taking taylor expansion of (pow (* (sin phi2) (sin phi1)) 3) in phi1
* [misc]taylor:  Taking taylor expansion of (* (sin phi2) (sin phi1)) in phi1
* [misc]taylor:  Taking taylor expansion of (sin phi2) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (sin phi2) into (sin phi2)
* [misc]backup-simplify:  Simplify (cos phi2) into (cos phi2)
* [misc]taylor:  Taking taylor expansion of (sin 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 (* (sin phi2) 1) into (sin phi2)
* [misc]backup-simplify:  Simplify (* (cos phi2) 0) into 0
* [misc]backup-simplify:  Simplify (+ (sin phi2) 0) into (sin phi2)
* [misc]backup-simplify:  Simplify (* (sin phi2) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin phi2) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos phi2) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin phi2) 1) (* 0 0)) into (sin phi2)
* [misc]backup-simplify:  Simplify (* (sin phi2) (sin phi2)) into (pow (sin phi2) 2)
* [misc]backup-simplify:  Simplify (* (sin phi2) (pow (sin phi2) 2)) into (pow (sin phi2) 3)
* [misc]backup-simplify:  Simplify (log (pow (sin phi2) 3)) into (log (pow (sin phi2) 3))
* [misc]backup-simplify:  Simplify (+ (* (- -3) (log phi1)) (log (pow (sin phi2) 3))) into (+ (* 3 (log phi1)) (log (pow (sin phi2) 3)))
* [misc]backup-simplify:  Simplify (* 1/3 (+ (* 3 (log phi1)) (log (pow (sin phi2) 3)))) into (* 1/3 (+ (* 3 (log phi1)) (log (pow (sin phi2) 3))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (+ (* 3 (log phi1)) (log (pow (sin phi2) 3))))) into (exp (* 1/3 (+ (* 3 (log phi1)) (log (pow (sin phi2) 3)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (pow (* (sin phi2) (sin phi1)) 3)) in phi2
* [misc]taylor:  Rewrote expression to (pow (pow (* (sin phi2) (sin phi1)) 3) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (pow (* (sin phi2) (sin phi1)) 3)))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (pow (* (sin phi2) (sin phi1)) 3))) in phi2
* [misc]taylor:  Taking taylor expansion of 1/3 in phi2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (pow (* (sin phi2) (sin phi1)) 3)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (* (sin phi2) (sin phi1)) 3) in phi2
* [misc]taylor:  Taking taylor expansion of (* (sin phi2) (sin phi1)) in phi2
* [misc]taylor:  Taking taylor expansion of (sin 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 phi1) in phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (sin phi1) into (sin phi1)
* [misc]backup-simplify:  Simplify (cos phi1) into (cos phi1)
* [misc]backup-simplify:  Simplify (* (sin phi1) 1) into (sin phi1)
* [misc]backup-simplify:  Simplify (* (cos phi1) 0) into 0
* [misc]backup-simplify:  Simplify (+ (sin phi1) 0) into (sin phi1)
* [misc]backup-simplify:  Simplify (* 0 (sin phi1)) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin phi1) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos phi1) 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 phi1))) into (sin phi1)
* [misc]backup-simplify:  Simplify (* (sin phi1) (sin phi1)) into (pow (sin phi1) 2)
* [misc]backup-simplify:  Simplify (* (sin phi1) (pow (sin phi1) 2)) into (pow (sin phi1) 3)
* [misc]backup-simplify:  Simplify (log (pow (sin phi1) 3)) into (log (pow (sin phi1) 3))
* [misc]backup-simplify:  Simplify (+ (* (- -3) (log phi2)) (log (pow (sin phi1) 3))) into (+ (log (pow (sin phi1) 3)) (* 3 (log phi2)))
* [misc]backup-simplify:  Simplify (* 1/3 (+ (log (pow (sin phi1) 3)) (* 3 (log phi2)))) into (* 1/3 (+ (log (pow (sin phi1) 3)) (* 3 (log phi2))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (+ (log (pow (sin phi1) 3)) (* 3 (log phi2))))) into (exp (* 1/3 (+ (log (pow (sin phi1) 3)) (* 3 (log phi2)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (pow (* (sin phi2) (sin phi1)) 3)) in phi2
* [misc]taylor:  Rewrote expression to (pow (pow (* (sin phi2) (sin phi1)) 3) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (pow (* (sin phi2) (sin phi1)) 3)))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (pow (* (sin phi2) (sin phi1)) 3))) in phi2
* [misc]taylor:  Taking taylor expansion of 1/3 in phi2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (pow (* (sin phi2) (sin phi1)) 3)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (* (sin phi2) (sin phi1)) 3) in phi2
* [misc]taylor:  Taking taylor expansion of (* (sin phi2) (sin phi1)) in phi2
* [misc]taylor:  Taking taylor expansion of (sin 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 phi1) in phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (sin phi1) into (sin phi1)
* [misc]backup-simplify:  Simplify (cos phi1) into (cos phi1)
* [misc]backup-simplify:  Simplify (* (sin phi1) 1) into (sin phi1)
* [misc]backup-simplify:  Simplify (* (cos phi1) 0) into 0
* [misc]backup-simplify:  Simplify (+ (sin phi1) 0) into (sin phi1)
* [misc]backup-simplify:  Simplify (* 0 (sin phi1)) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin phi1) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos phi1) 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 phi1))) into (sin phi1)
* [misc]backup-simplify:  Simplify (* (sin phi1) (sin phi1)) into (pow (sin phi1) 2)
* [misc]backup-simplify:  Simplify (* (sin phi1) (pow (sin phi1) 2)) into (pow (sin phi1) 3)
* [misc]backup-simplify:  Simplify (log (pow (sin phi1) 3)) into (log (pow (sin phi1) 3))
* [misc]backup-simplify:  Simplify (+ (* (- -3) (log phi2)) (log (pow (sin phi1) 3))) into (+ (log (pow (sin phi1) 3)) (* 3 (log phi2)))
* [misc]backup-simplify:  Simplify (* 1/3 (+ (log (pow (sin phi1) 3)) (* 3 (log phi2)))) into (* 1/3 (+ (log (pow (sin phi1) 3)) (* 3 (log phi2))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (+ (log (pow (sin phi1) 3)) (* 3 (log phi2))))) into (exp (* 1/3 (+ (log (pow (sin phi1) 3)) (* 3 (log phi2)))))
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (+ (log (pow (sin phi1) 3)) (* 3 (log phi2))))) in phi1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (+ (log (pow (sin phi1) 3)) (* 3 (log phi2)))) in phi1
* [misc]taylor:  Taking taylor expansion of 1/3 in phi1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (+ (log (pow (sin phi1) 3)) (* 3 (log phi2))) in phi1
* [misc]taylor:  Taking taylor expansion of (log (pow (sin phi1) 3)) in phi1
* [misc]taylor:  Taking taylor expansion of (pow (sin phi1) 3) in phi1
* [misc]taylor:  Taking taylor expansion of (sin 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 (/ (pow 1 1) 1))) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]taylor:  Taking taylor expansion of (* 3 (log phi2)) in phi1
* [misc]taylor:  Taking taylor expansion of 3 in phi1
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log phi2) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (log phi2) into (log phi2)
* [misc]backup-simplify:  Simplify (+ (* (- -3) (log phi1)) 0) into (* 3 (log phi1))
* [misc]backup-simplify:  Simplify (* 3 (log phi2)) into (* 3 (log phi2))
* [misc]backup-simplify:  Simplify (+ (* 3 (log phi1)) (* 3 (log phi2))) into (+ (* 3 (log phi1)) (* 3 (log phi2)))
* [misc]backup-simplify:  Simplify (* 1/3 (+ (* 3 (log phi1)) (* 3 (log phi2)))) into (* 1/3 (+ (* 3 (log phi1)) (* 3 (log phi2))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (+ (* 3 (log phi1)) (* 3 (log phi2))))) into (exp (* 1/3 (+ (* 3 (log phi1)) (* 3 (log phi2)))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (+ (* 3 (log phi1)) (* 3 (log phi2))))) into (exp (* 1/3 (+ (* 3 (log phi1)) (* 3 (log phi2)))))
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin phi1) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos phi1) 0) (+ (* 0 0) (* 0 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 (+ (* 0 0) (+ (* 1 0) (* 0 (sin phi1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin phi1) 0) (* 0 (sin phi1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin phi1) 0) (* 0 (pow (sin phi1) 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (sin phi1) 3) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -3) (log phi2)) (log (pow (sin phi1) 3))) into (+ (log (pow (sin phi1) 3)) (* 3 (log phi2)))
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (+ (log (pow (sin phi1) 3)) (* 3 (log phi2))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (+ (log (pow (sin phi1) 3)) (* 3 (log phi2))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow phi2 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log phi2))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (+ (* 3 (log phi1)) (* 3 (log phi2))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (+ (* 3 (log phi1)) (* 3 (log phi2))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin phi1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos phi1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6)
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* (- 1/6) (sin phi1))))) into (- (* 1/6 (sin phi1)))
* [misc]backup-simplify:  Simplify (+ (* (sin phi1) (- (* 1/6 (sin phi1)))) (+ (* 0 0) (* (- (* 1/6 (sin phi1))) (sin phi1)))) into (- (* 1/3 (pow (sin phi1) 2)))
* [misc]backup-simplify:  Simplify (+ (* (sin phi1) (- (* 1/3 (pow (sin phi1) 2)))) (+ (* 0 0) (* (- (* 1/6 (sin phi1))) (pow (sin phi1) 2)))) into (- (* 1/2 (pow (sin phi1) 3)))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (sin phi1) 3) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/2 (pow (sin phi1) 3)))) 1)) (pow (pow (sin phi1) 3) 1)))) 2) into -1/2
* [misc]backup-simplify:  Simplify (+ (* (- -3) (log phi2)) (log (pow (sin phi1) 3))) into (+ (log (pow (sin phi1) 3)) (* 3 (log phi2)))
* [misc]backup-simplify:  Simplify (+ (* 1/3 -1/2) (+ (* 0 0) (* 0 (+ (log (pow (sin phi1) 3)) (* 3 (log phi2)))))) into (- 1/6)
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (+ (log (pow (sin phi1) 3)) (* 3 (log phi2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/6 (exp (* 1/3 (+ (log (pow (sin phi1) 3)) (* 3 (log phi2))))))
* [misc]taylor:  Taking taylor expansion of (* -1/6 (exp (* 1/3 (+ (log (pow (sin phi1) 3)) (* 3 (log phi2)))))) in phi1
* [misc]taylor:  Taking taylor expansion of -1/6 in phi1
* [misc]backup-simplify:  Simplify -1/6 into -1/6
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (+ (log (pow (sin phi1) 3)) (* 3 (log phi2))))) in phi1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (+ (log (pow (sin phi1) 3)) (* 3 (log phi2)))) in phi1
* [misc]taylor:  Taking taylor expansion of 1/3 in phi1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (+ (log (pow (sin phi1) 3)) (* 3 (log phi2))) in phi1
* [misc]taylor:  Taking taylor expansion of (log (pow (sin phi1) 3)) in phi1
* [misc]taylor:  Taking taylor expansion of (pow (sin phi1) 3) in phi1
* [misc]taylor:  Taking taylor expansion of (sin 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 (/ (pow 1 1) 1))) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]taylor:  Taking taylor expansion of (* 3 (log phi2)) in phi1
* [misc]taylor:  Taking taylor expansion of 3 in phi1
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log phi2) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (log phi2) into (log phi2)
* [misc]backup-simplify:  Simplify (+ (* (- -3) (log phi1)) 0) into (* 3 (log phi1))
* [misc]backup-simplify:  Simplify (* 3 (log phi2)) into (* 3 (log phi2))
* [misc]backup-simplify:  Simplify (+ (* 3 (log phi1)) (* 3 (log phi2))) into (+ (* 3 (log phi1)) (* 3 (log phi2)))
* [misc]backup-simplify:  Simplify (* 1/3 (+ (* 3 (log phi1)) (* 3 (log phi2)))) into (* 1/3 (+ (* 3 (log phi1)) (* 3 (log phi2))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (+ (* 3 (log phi1)) (* 3 (log phi2))))) into (exp (* 1/3 (+ (* 3 (log phi1)) (* 3 (log phi2)))))
* [misc]backup-simplify:  Simplify (* -1/6 (exp (* 1/3 (+ (* 3 (log phi1)) (* 3 (log phi2)))))) into (* -1/6 (exp (* 1/3 (+ (* 3 (log phi1)) (* 3 (log phi2))))))
* [misc]backup-simplify:  Simplify (* -1/6 (exp (* 1/3 (+ (* 3 (log phi1)) (* 3 (log phi2)))))) into (* -1/6 (exp (* 1/3 (+ (* 3 (log phi1)) (* 3 (log phi2))))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6)
* [misc]backup-simplify:  Simplify (+ (* 1 (- 1/6)) (+ (* 0 0) (* (- 1/6) 1))) into -1/3
* [misc]backup-simplify:  Simplify (+ (* 1 -1/3) (+ (* 0 0) (* (- 1/6) 1))) into -1/2
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/2) 1)) (pow 1 1)))) 2) into -1/2
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow phi2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow phi2 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log phi2)))) into 0
* [misc]backup-simplify:  Simplify (+ -1/2 0) into -1/2
* [misc]backup-simplify:  Simplify (+ (* 1/3 -1/2) (+ (* 0 0) (* 0 (+ (* 3 (log phi1)) (* 3 (log phi2)))))) into (- 1/6)
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (+ (* 3 (log phi1)) (* 3 (log phi2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/6 (exp (* 1/3 (+ (* 3 (log phi1)) (* 3 (log phi2))))))
* [misc]backup-simplify:  Simplify (* -1/6 (exp (* 1/3 (+ (* 3 (log phi1)) (* 3 (log phi2)))))) into (* -1/6 (exp (* 1/3 (+ (* 3 (log phi1)) (* 3 (log phi2))))))
* [misc]backup-simplify:  Simplify (+ (* (* -1/6 (exp (* 1/3 (+ (* 3 (log phi1)) (* 3 (log phi2)))))) (pow (* phi1 1) 2)) (+ (* (* -1/6 (exp (* 1/3 (+ (* 3 (log phi1)) (* 3 (log phi2)))))) (pow (* 1 phi2) 2)) (exp (* 1/3 (+ (* 3 (log phi1)) (* 3 (log phi2))))))) into (- (exp (* 1/3 (+ (* 3 (log phi1)) (* 3 (log phi2))))) (+ (* 1/6 (* (exp (* 1/3 (+ (* 3 (log phi1)) (* 3 (log phi2))))) (pow phi1 2))) (* 1/6 (* (exp (* 1/3 (+ (* 3 (log phi1)) (* 3 (log phi2))))) (pow phi2 2)))))
* [misc]approximate:  Taking taylor expansion of (cbrt (pow (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 3)) in (phi2 phi1) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (pow (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 3)) in phi1
* [misc]taylor:  Rewrote expression to (pow (pow (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 3) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (pow (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 3)))) in phi1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (pow (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 3))) in phi1
* [misc]taylor:  Taking taylor expansion of 1/3 in phi1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (pow (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 3)) in phi1
* [misc]taylor:  Taking taylor expansion of (pow (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 3) in phi1
* [misc]taylor:  Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi1
* [misc]taylor:  Taking taylor expansion of (sin (/ 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 (sin (/ 1 phi2)) into (sin (/ 1 phi2))
* [misc]backup-simplify:  Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2))
* [misc]taylor:  Taking taylor expansion of (sin (/ 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 (sin (/ 1 phi1)) into (sin (/ 1 phi1))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 phi2)) 1) into (sin (/ 1 phi2))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 phi2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (sin (/ 1 phi2)) 0) into (sin (/ 1 phi2))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))
* [misc]backup-simplify:  Simplify (* (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))) into (* (pow (sin (/ 1 phi2)) 2) (pow (sin (/ 1 phi1)) 2))
* [misc]backup-simplify:  Simplify (* (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (pow (sin (/ 1 phi2)) 2) (pow (sin (/ 1 phi1)) 2))) into (* (pow (sin (/ 1 phi2)) 3) (pow (sin (/ 1 phi1)) 3))
* [misc]backup-simplify:  Simplify (log (* (pow (sin (/ 1 phi2)) 3) (pow (sin (/ 1 phi1)) 3))) into (log (* (pow (sin (/ 1 phi2)) 3) (pow (sin (/ 1 phi1)) 3)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (* (pow (sin (/ 1 phi2)) 3) (pow (sin (/ 1 phi1)) 3)))) into (* 1/3 (log (* (pow (sin (/ 1 phi2)) 3) (pow (sin (/ 1 phi1)) 3))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (* (pow (sin (/ 1 phi2)) 3) (pow (sin (/ 1 phi1)) 3))))) into (pow (* (pow (sin (/ 1 phi2)) 3) (pow (sin (/ 1 phi1)) 3)) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (pow (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 3)) in phi2
* [misc]taylor:  Rewrote expression to (pow (pow (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 3) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (pow (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 3)))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (pow (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 3))) in phi2
* [misc]taylor:  Taking taylor expansion of 1/3 in phi2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (pow (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 3)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 3) in phi2
* [misc]taylor:  Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi2
* [misc]taylor:  Taking taylor expansion of (sin (/ 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 (sin (/ 1 phi2)) into (sin (/ 1 phi2))
* [misc]taylor:  Taking taylor expansion of (sin (/ 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 (sin (/ 1 phi1)) into (sin (/ 1 phi1))
* [misc]backup-simplify:  Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 phi1)) 1) into (sin (/ 1 phi1))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 phi1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (sin (/ 1 phi1)) 0) into (sin (/ 1 phi1))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))
* [misc]backup-simplify:  Simplify (* (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))) into (* (pow (sin (/ 1 phi2)) 2) (pow (sin (/ 1 phi1)) 2))
* [misc]backup-simplify:  Simplify (* (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (pow (sin (/ 1 phi2)) 2) (pow (sin (/ 1 phi1)) 2))) into (* (pow (sin (/ 1 phi2)) 3) (pow (sin (/ 1 phi1)) 3))
* [misc]backup-simplify:  Simplify (log (* (pow (sin (/ 1 phi2)) 3) (pow (sin (/ 1 phi1)) 3))) into (log (* (pow (sin (/ 1 phi2)) 3) (pow (sin (/ 1 phi1)) 3)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (* (pow (sin (/ 1 phi2)) 3) (pow (sin (/ 1 phi1)) 3)))) into (* 1/3 (log (* (pow (sin (/ 1 phi2)) 3) (pow (sin (/ 1 phi1)) 3))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (* (pow (sin (/ 1 phi2)) 3) (pow (sin (/ 1 phi1)) 3))))) into (pow (* (pow (sin (/ 1 phi2)) 3) (pow (sin (/ 1 phi1)) 3)) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (pow (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 3)) in phi2
* [misc]taylor:  Rewrote expression to (pow (pow (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 3) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (pow (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 3)))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (pow (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 3))) in phi2
* [misc]taylor:  Taking taylor expansion of 1/3 in phi2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (pow (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 3)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 3) in phi2
* [misc]taylor:  Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi2
* [misc]taylor:  Taking taylor expansion of (sin (/ 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 (sin (/ 1 phi2)) into (sin (/ 1 phi2))
* [misc]taylor:  Taking taylor expansion of (sin (/ 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 (sin (/ 1 phi1)) into (sin (/ 1 phi1))
* [misc]backup-simplify:  Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 phi1)) 1) into (sin (/ 1 phi1))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 phi1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (sin (/ 1 phi1)) 0) into (sin (/ 1 phi1))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))
* [misc]backup-simplify:  Simplify (* (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))) into (* (pow (sin (/ 1 phi2)) 2) (pow (sin (/ 1 phi1)) 2))
* [misc]backup-simplify:  Simplify (* (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (pow (sin (/ 1 phi2)) 2) (pow (sin (/ 1 phi1)) 2))) into (* (pow (sin (/ 1 phi2)) 3) (pow (sin (/ 1 phi1)) 3))
* [misc]backup-simplify:  Simplify (log (* (pow (sin (/ 1 phi2)) 3) (pow (sin (/ 1 phi1)) 3))) into (log (* (pow (sin (/ 1 phi2)) 3) (pow (sin (/ 1 phi1)) 3)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (* (pow (sin (/ 1 phi2)) 3) (pow (sin (/ 1 phi1)) 3)))) into (* 1/3 (log (* (pow (sin (/ 1 phi2)) 3) (pow (sin (/ 1 phi1)) 3))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (* (pow (sin (/ 1 phi2)) 3) (pow (sin (/ 1 phi1)) 3))))) into (pow (* (pow (sin (/ 1 phi2)) 3) (pow (sin (/ 1 phi1)) 3)) 1/3)
* [misc]taylor:  Taking taylor expansion of (pow (* (pow (sin (/ 1 phi2)) 3) (pow (sin (/ 1 phi1)) 3)) 1/3) in phi1
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (pow (sin (/ 1 phi2)) 3) (pow (sin (/ 1 phi1)) 3))))) in phi1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (pow (sin (/ 1 phi2)) 3) (pow (sin (/ 1 phi1)) 3)))) in phi1
* [misc]taylor:  Taking taylor expansion of 1/3 in phi1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (pow (sin (/ 1 phi2)) 3) (pow (sin (/ 1 phi1)) 3))) in phi1
* [misc]taylor:  Taking taylor expansion of (* (pow (sin (/ 1 phi2)) 3) (pow (sin (/ 1 phi1)) 3)) in phi1
* [misc]taylor:  Taking taylor expansion of (pow (sin (/ 1 phi2)) 3) in phi1
* [misc]taylor:  Taking taylor expansion of (sin (/ 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 (sin (/ 1 phi2)) into (sin (/ 1 phi2))
* [misc]backup-simplify:  Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 phi2)) 1) into (sin (/ 1 phi2))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 phi2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (sin (/ 1 phi2)) 0) into (sin (/ 1 phi2))
* [misc]taylor:  Taking taylor expansion of (pow (sin (/ 1 phi1)) 3) in phi1
* [misc]taylor:  Taking taylor expansion of (sin (/ 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 (sin (/ 1 phi1)) into (sin (/ 1 phi1))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi2))) into (pow (sin (/ 1 phi2)) 2)
* [misc]backup-simplify:  Simplify (* (sin (/ 1 phi2)) (pow (sin (/ 1 phi2)) 2)) into (pow (sin (/ 1 phi2)) 3)
* [misc]backup-simplify:  Simplify (* (sin (/ 1 phi1)) (sin (/ 1 phi1))) into (pow (sin (/ 1 phi1)) 2)
* [misc]backup-simplify:  Simplify (* (sin (/ 1 phi1)) (pow (sin (/ 1 phi1)) 2)) into (pow (sin (/ 1 phi1)) 3)
* [misc]backup-simplify:  Simplify (* (pow (sin (/ 1 phi2)) 3) (pow (sin (/ 1 phi1)) 3)) into (* (pow (sin (/ 1 phi2)) 3) (pow (sin (/ 1 phi1)) 3))
* [misc]backup-simplify:  Simplify (log (* (pow (sin (/ 1 phi2)) 3) (pow (sin (/ 1 phi1)) 3))) into (log (* (pow (sin (/ 1 phi2)) 3) (pow (sin (/ 1 phi1)) 3)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (* (pow (sin (/ 1 phi2)) 3) (pow (sin (/ 1 phi1)) 3)))) into (* 1/3 (log (* (pow (sin (/ 1 phi2)) 3) (pow (sin (/ 1 phi1)) 3))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (* (pow (sin (/ 1 phi2)) 3) (pow (sin (/ 1 phi1)) 3))))) into (pow (* (pow (sin (/ 1 phi2)) 3) (pow (sin (/ 1 phi1)) 3)) 1/3)
* [misc]backup-simplify:  Simplify (pow (* (pow (sin (/ 1 phi2)) 3) (pow (sin (/ 1 phi1)) 3)) 1/3) into (pow (* (pow (sin (/ 1 phi2)) 3) (pow (sin (/ 1 phi1)) 3)) 1/3)
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 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 (+ (* (cos (/ 1 phi1)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 (sin (/ 1 phi1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 0) (* 0 (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 0) (* 0 (* (pow (sin (/ 1 phi2)) 2) (pow (sin (/ 1 phi1)) 2)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* (pow (sin (/ 1 phi2)) 3) (pow (sin (/ 1 phi1)) 3)) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (* (pow (sin (/ 1 phi2)) 3) (pow (sin (/ 1 phi1)) 3))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (* (pow (sin (/ 1 phi2)) 3) (pow (sin (/ 1 phi1)) 3))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 (sin (/ 1 phi1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 (pow (sin (/ 1 phi1)) 2))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 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 (+ (* (cos (/ 1 phi2)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 (sin (/ 1 phi2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 (pow (sin (/ 1 phi2)) 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (sin (/ 1 phi2)) 3) 0) (* 0 (pow (sin (/ 1 phi1)) 3))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* (pow (sin (/ 1 phi2)) 3) (pow (sin (/ 1 phi1)) 3)) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (* (pow (sin (/ 1 phi2)) 3) (pow (sin (/ 1 phi1)) 3))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (* (pow (sin (/ 1 phi2)) 3) (pow (sin (/ 1 phi1)) 3))))) (+ (* (/ (pow 0 1) 1)))) 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 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 0) (+ (* 0 0) (* 0 (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 0) (+ (* 0 0) (* 0 (* (pow (sin (/ 1 phi2)) 2) (pow (sin (/ 1 phi1)) 2))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* (pow (sin (/ 1 phi2)) 3) (pow (sin (/ 1 phi1)) 3)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* (pow (sin (/ 1 phi2)) 3) (pow (sin (/ 1 phi1)) 3)) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (* (pow (sin (/ 1 phi2)) 3) (pow (sin (/ 1 phi1)) 3)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (* (pow (sin (/ 1 phi2)) 3) (pow (sin (/ 1 phi1)) 3))))) (+ (* (/ (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]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (* 0 (pow (sin (/ 1 phi1)) 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 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 (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 (pow (sin (/ 1 phi2)) 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (sin (/ 1 phi2)) 3) 0) (+ (* 0 0) (* 0 (pow (sin (/ 1 phi1)) 3)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* (pow (sin (/ 1 phi2)) 3) (pow (sin (/ 1 phi1)) 3)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* (pow (sin (/ 1 phi2)) 3) (pow (sin (/ 1 phi1)) 3)) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (* (pow (sin (/ 1 phi2)) 3) (pow (sin (/ 1 phi1)) 3)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (* (pow (sin (/ 1 phi2)) 3) (pow (sin (/ 1 phi1)) 3))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 phi1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (pow (sin (/ 1 phi2)) 2) (pow (sin (/ 1 phi1)) 2)))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* (pow (sin (/ 1 phi2)) 3) (pow (sin (/ 1 phi1)) 3)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* (pow (sin (/ 1 phi2)) 3) (pow (sin (/ 1 phi1)) 3)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* (pow (sin (/ 1 phi2)) 3) (pow (sin (/ 1 phi1)) 3)) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* (pow (sin (/ 1 phi2)) 3) (pow (sin (/ 1 phi1)) 3))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (* (pow (sin (/ 1 phi2)) 3) (pow (sin (/ 1 phi1)) 3))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (pow (* (pow (sin (/ 1 (/ 1 phi2))) 3) (pow (sin (/ 1 (/ 1 phi1))) 3)) 1/3) into (pow (* (pow (sin phi1) 3) (pow (sin phi2) 3)) 1/3)
* [misc]approximate:  Taking taylor expansion of (cbrt (pow (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) 3)) in (phi2 phi1) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (pow (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) 3)) in phi1
* [misc]taylor:  Rewrote expression to (pow (pow (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) 3) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (pow (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) 3)))) in phi1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (pow (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) 3))) in phi1
* [misc]taylor:  Taking taylor expansion of 1/3 in phi1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (pow (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) 3)) in phi1
* [misc]taylor:  Taking taylor expansion of (pow (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) 3) in phi1
* [misc]taylor:  Taking taylor expansion of (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) in phi1
* [misc]taylor:  Taking taylor expansion of (sin (/ 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 (sin (/ -1 phi2)) into (sin (/ -1 phi2))
* [misc]backup-simplify:  Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2))
* [misc]taylor:  Taking taylor expansion of (sin (/ 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 (sin (/ 1 (- phi1))) into (sin (/ -1 phi1))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 phi2)) 1) into (sin (/ -1 phi2))
* [misc]backup-simplify:  Simplify (* (cos (/ -1 phi2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (sin (/ -1 phi2)) 0) into (sin (/ -1 phi2))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))
* [misc]backup-simplify:  Simplify (* (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) into (* (pow (sin (/ -1 phi1)) 2) (pow (sin (/ -1 phi2)) 2))
* [misc]backup-simplify:  Simplify (* (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (pow (sin (/ -1 phi1)) 2) (pow (sin (/ -1 phi2)) 2))) into (* (pow (sin (/ -1 phi1)) 3) (pow (sin (/ -1 phi2)) 3))
* [misc]backup-simplify:  Simplify (log (* (pow (sin (/ -1 phi1)) 3) (pow (sin (/ -1 phi2)) 3))) into (log (* (pow (sin (/ -1 phi1)) 3) (pow (sin (/ -1 phi2)) 3)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (* (pow (sin (/ -1 phi1)) 3) (pow (sin (/ -1 phi2)) 3)))) into (* 1/3 (log (* (pow (sin (/ -1 phi1)) 3) (pow (sin (/ -1 phi2)) 3))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (* (pow (sin (/ -1 phi1)) 3) (pow (sin (/ -1 phi2)) 3))))) into (pow (* (pow (sin (/ -1 phi1)) 3) (pow (sin (/ -1 phi2)) 3)) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (pow (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) 3)) in phi2
* [misc]taylor:  Rewrote expression to (pow (pow (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) 3) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (pow (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) 3)))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (pow (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) 3))) in phi2
* [misc]taylor:  Taking taylor expansion of 1/3 in phi2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (pow (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) 3)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) 3) in phi2
* [misc]taylor:  Taking taylor expansion of (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) in phi2
* [misc]taylor:  Taking taylor expansion of (sin (/ 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 (sin (/ 1 (- phi2))) into (sin (/ -1 phi2))
* [misc]taylor:  Taking taylor expansion of (sin (/ 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 (sin (/ -1 phi1)) into (sin (/ -1 phi1))
* [misc]backup-simplify:  Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 phi1)) 1) into (sin (/ -1 phi1))
* [misc]backup-simplify:  Simplify (* (cos (/ -1 phi1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (sin (/ -1 phi1)) 0) into (sin (/ -1 phi1))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))
* [misc]backup-simplify:  Simplify (* (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) into (* (pow (sin (/ -1 phi1)) 2) (pow (sin (/ -1 phi2)) 2))
* [misc]backup-simplify:  Simplify (* (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (pow (sin (/ -1 phi1)) 2) (pow (sin (/ -1 phi2)) 2))) into (* (pow (sin (/ -1 phi1)) 3) (pow (sin (/ -1 phi2)) 3))
* [misc]backup-simplify:  Simplify (log (* (pow (sin (/ -1 phi1)) 3) (pow (sin (/ -1 phi2)) 3))) into (log (* (pow (sin (/ -1 phi1)) 3) (pow (sin (/ -1 phi2)) 3)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (* (pow (sin (/ -1 phi1)) 3) (pow (sin (/ -1 phi2)) 3)))) into (* 1/3 (log (* (pow (sin (/ -1 phi1)) 3) (pow (sin (/ -1 phi2)) 3))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (* (pow (sin (/ -1 phi1)) 3) (pow (sin (/ -1 phi2)) 3))))) into (pow (* (pow (sin (/ -1 phi1)) 3) (pow (sin (/ -1 phi2)) 3)) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (pow (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) 3)) in phi2
* [misc]taylor:  Rewrote expression to (pow (pow (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) 3) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (pow (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) 3)))) in phi2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (pow (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) 3))) in phi2
* [misc]taylor:  Taking taylor expansion of 1/3 in phi2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (pow (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) 3)) in phi2
* [misc]taylor:  Taking taylor expansion of (pow (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) 3) in phi2
* [misc]taylor:  Taking taylor expansion of (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) in phi2
* [misc]taylor:  Taking taylor expansion of (sin (/ 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 (sin (/ 1 (- phi2))) into (sin (/ -1 phi2))
* [misc]taylor:  Taking taylor expansion of (sin (/ 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 (sin (/ -1 phi1)) into (sin (/ -1 phi1))
* [misc]backup-simplify:  Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 phi1)) 1) into (sin (/ -1 phi1))
* [misc]backup-simplify:  Simplify (* (cos (/ -1 phi1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (sin (/ -1 phi1)) 0) into (sin (/ -1 phi1))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))
* [misc]backup-simplify:  Simplify (* (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) into (* (pow (sin (/ -1 phi1)) 2) (pow (sin (/ -1 phi2)) 2))
* [misc]backup-simplify:  Simplify (* (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (pow (sin (/ -1 phi1)) 2) (pow (sin (/ -1 phi2)) 2))) into (* (pow (sin (/ -1 phi1)) 3) (pow (sin (/ -1 phi2)) 3))
* [misc]backup-simplify:  Simplify (log (* (pow (sin (/ -1 phi1)) 3) (pow (sin (/ -1 phi2)) 3))) into (log (* (pow (sin (/ -1 phi1)) 3) (pow (sin (/ -1 phi2)) 3)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (* (pow (sin (/ -1 phi1)) 3) (pow (sin (/ -1 phi2)) 3)))) into (* 1/3 (log (* (pow (sin (/ -1 phi1)) 3) (pow (sin (/ -1 phi2)) 3))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (* (pow (sin (/ -1 phi1)) 3) (pow (sin (/ -1 phi2)) 3))))) into (pow (* (pow (sin (/ -1 phi1)) 3) (pow (sin (/ -1 phi2)) 3)) 1/3)
* [misc]taylor:  Taking taylor expansion of (pow (* (pow (sin (/ -1 phi1)) 3) (pow (sin (/ -1 phi2)) 3)) 1/3) in phi1
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (pow (sin (/ -1 phi1)) 3) (pow (sin (/ -1 phi2)) 3))))) in phi1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (pow (sin (/ -1 phi1)) 3) (pow (sin (/ -1 phi2)) 3)))) in phi1
* [misc]taylor:  Taking taylor expansion of 1/3 in phi1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (pow (sin (/ -1 phi1)) 3) (pow (sin (/ -1 phi2)) 3))) in phi1
* [misc]taylor:  Taking taylor expansion of (* (pow (sin (/ -1 phi1)) 3) (pow (sin (/ -1 phi2)) 3)) in phi1
* [misc]taylor:  Taking taylor expansion of (pow (sin (/ -1 phi1)) 3) in phi1
* [misc]taylor:  Taking taylor expansion of (sin (/ -1 phi1)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ -1 phi1) in phi1
* [misc]taylor:  Taking taylor expansion of -1 in phi1
* [misc]backup-simplify:  Simplify -1 into -1
* [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 (sin (/ -1 phi1)) into (sin (/ -1 phi1))
* [misc]taylor:  Taking taylor expansion of (pow (sin (/ -1 phi2)) 3) in phi1
* [misc]taylor:  Taking taylor expansion of (sin (/ -1 phi2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ -1 phi2) in phi1
* [misc]taylor:  Taking taylor expansion of -1 in phi1
* [misc]backup-simplify:  Simplify -1 into -1
* [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 (sin (/ -1 phi2)) into (sin (/ -1 phi2))
* [misc]backup-simplify:  Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 phi2)) 1) into (sin (/ -1 phi2))
* [misc]backup-simplify:  Simplify (* (cos (/ -1 phi2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (sin (/ -1 phi2)) 0) into (sin (/ -1 phi2))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi1))) into (pow (sin (/ -1 phi1)) 2)
* [misc]backup-simplify:  Simplify (* (sin (/ -1 phi1)) (pow (sin (/ -1 phi1)) 2)) into (pow (sin (/ -1 phi1)) 3)
* [misc]backup-simplify:  Simplify (* (sin (/ -1 phi2)) (sin (/ -1 phi2))) into (pow (sin (/ -1 phi2)) 2)
* [misc]backup-simplify:  Simplify (* (sin (/ -1 phi2)) (pow (sin (/ -1 phi2)) 2)) into (pow (sin (/ -1 phi2)) 3)
* [misc]backup-simplify:  Simplify (* (pow (sin (/ -1 phi1)) 3) (pow (sin (/ -1 phi2)) 3)) into (* (pow (sin (/ -1 phi1)) 3) (pow (sin (/ -1 phi2)) 3))
* [misc]backup-simplify:  Simplify (log (* (pow (sin (/ -1 phi1)) 3) (pow (sin (/ -1 phi2)) 3))) into (log (* (pow (sin (/ -1 phi1)) 3) (pow (sin (/ -1 phi2)) 3)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (* (pow (sin (/ -1 phi1)) 3) (pow (sin (/ -1 phi2)) 3)))) into (* 1/3 (log (* (pow (sin (/ -1 phi1)) 3) (pow (sin (/ -1 phi2)) 3))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (* (pow (sin (/ -1 phi1)) 3) (pow (sin (/ -1 phi2)) 3))))) into (pow (* (pow (sin (/ -1 phi1)) 3) (pow (sin (/ -1 phi2)) 3)) 1/3)
* [misc]backup-simplify:  Simplify (pow (* (pow (sin (/ -1 phi1)) 3) (pow (sin (/ -1 phi2)) 3)) 1/3) into (pow (* (pow (sin (/ -1 phi1)) 3) (pow (sin (/ -1 phi2)) 3)) 1/3)
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [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 (+ (* (cos (/ -1 phi1)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 phi2)) 0) (* 0 (sin (/ -1 phi1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 0) (* 0 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 0) (* 0 (* (pow (sin (/ -1 phi1)) 2) (pow (sin (/ -1 phi2)) 2)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* (pow (sin (/ -1 phi1)) 3) (pow (sin (/ -1 phi2)) 3)) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (* (pow (sin (/ -1 phi1)) 3) (pow (sin (/ -1 phi2)) 3))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (* (pow (sin (/ -1 phi1)) 3) (pow (sin (/ -1 phi2)) 3))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi1
* [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 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 (+ (* (cos (/ -1 phi2)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 phi2)) 0) (* 0 (sin (/ -1 phi2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 phi2)) 0) (* 0 (pow (sin (/ -1 phi2)) 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (pow (sin (/ -1 phi1)) 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (sin (/ -1 phi1)) 3) 0) (* 0 (pow (sin (/ -1 phi2)) 3))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* (pow (sin (/ -1 phi1)) 3) (pow (sin (/ -1 phi2)) 3)) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (* (pow (sin (/ -1 phi1)) 3) (pow (sin (/ -1 phi2)) 3))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (* (pow (sin (/ -1 phi1)) 3) (pow (sin (/ -1 phi2)) 3))))) (+ (* (/ (pow 0 1) 1)))) 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 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 phi1) (/ 0 (- phi1))) (* 0 (/ 0 (- phi1))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 0) (+ (* 0 0) (* 0 (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 0) (+ (* 0 0) (* 0 (* (pow (sin (/ -1 phi1)) 2) (pow (sin (/ -1 phi2)) 2))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* (pow (sin (/ -1 phi1)) 3) (pow (sin (/ -1 phi2)) 3)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* (pow (sin (/ -1 phi1)) 3) (pow (sin (/ -1 phi2)) 3)) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (* (pow (sin (/ -1 phi1)) 3) (pow (sin (/ -1 phi2)) 3)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (* (pow (sin (/ -1 phi1)) 3) (pow (sin (/ -1 phi2)) 3))))) (+ (* (/ (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]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 (/ -1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 phi2) (+ (* (/ -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 (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 phi2)) 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 phi1)) 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (sin (/ -1 phi1)) 3) 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 phi2)) 3)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* (pow (sin (/ -1 phi1)) 3) (pow (sin (/ -1 phi2)) 3)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* (pow (sin (/ -1 phi1)) 3) (pow (sin (/ -1 phi2)) 3)) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (* (pow (sin (/ -1 phi1)) 3) (pow (sin (/ -1 phi2)) 3)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (* (pow (sin (/ -1 phi1)) 3) (pow (sin (/ -1 phi2)) 3))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 phi1) (/ 0 (- phi1))) (* 0 (/ 0 (- phi1))) (* 0 (/ 0 (- phi1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 phi1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 phi1)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (pow (sin (/ -1 phi1)) 2) (pow (sin (/ -1 phi2)) 2)))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* (pow (sin (/ -1 phi1)) 3) (pow (sin (/ -1 phi2)) 3)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* (pow (sin (/ -1 phi1)) 3) (pow (sin (/ -1 phi2)) 3)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* (pow (sin (/ -1 phi1)) 3) (pow (sin (/ -1 phi2)) 3)) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* (pow (sin (/ -1 phi1)) 3) (pow (sin (/ -1 phi2)) 3))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (* (pow (sin (/ -1 phi1)) 3) (pow (sin (/ -1 phi2)) 3))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (pow (* (pow (sin (/ -1 (/ 1 (- phi1)))) 3) (pow (sin (/ -1 (/ 1 (- phi2)))) 3)) 1/3) into (pow (* (pow (sin phi1) 3) (pow (sin phi2) 3)) 1/3)
* * * * [misc]progress:  [ 2 / 4 ] generating series at (2 1)
* [misc]approximate:  Taking taylor expansion of (acos (+ (cbrt (pow (* (sin phi2) (sin phi1)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) in (phi2 phi1 lambda1 lambda2) around 0
* [misc]taylor:  Taking taylor expansion of (acos (+ (cbrt (pow (* (sin phi2) (sin phi1)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) in lambda2
* [misc]backup-simplify:  Simplify (acos (+ (cbrt (pow (* (sin phi2) (sin phi1)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
* [misc]taylor:  Taking taylor expansion of (acos (+ (cbrt (pow (* (sin phi2) (sin phi1)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) in lambda1
* [misc]backup-simplify:  Simplify (acos (+ (cbrt (pow (* (sin phi2) (sin phi1)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
* [misc]taylor:  Taking taylor expansion of (acos (+ (cbrt (pow (* (sin phi2) (sin phi1)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) in phi1
* [misc]backup-simplify:  Simplify (acos (+ (cbrt (pow (* (sin phi2) (sin phi1)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
* [misc]taylor:  Taking taylor expansion of (acos (+ (cbrt (pow (* (sin phi2) (sin phi1)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) in phi2
* [misc]backup-simplify:  Simplify (acos (+ (cbrt (pow (* (sin phi2) (sin phi1)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
* [misc]taylor:  Taking taylor expansion of (acos (+ (cbrt (pow (* (sin phi2) (sin phi1)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) in phi2
* [misc]backup-simplify:  Simplify (acos (+ (cbrt (pow (* (sin phi2) (sin phi1)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
* [misc]taylor:  Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1
* [misc]backup-simplify:  Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
* [misc]taylor:  Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1
* [misc]backup-simplify:  Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
* [misc]taylor:  Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2
* [misc]backup-simplify:  Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
* [misc]backup-simplify:  Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
* [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 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
* [misc]approximate:  Taking taylor expansion of (acos (+ (cbrt (pow (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 3)) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))))) in (phi2 phi1 lambda1 lambda2) around 0
* [misc]taylor:  Taking taylor expansion of (acos (+ (cbrt (pow (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 3)) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))))) in lambda2
* [misc]backup-simplify:  Simplify (acos (+ (cbrt (pow (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 3)) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
* [misc]taylor:  Taking taylor expansion of (acos (+ (cbrt (pow (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 3)) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))))) in lambda1
* [misc]backup-simplify:  Simplify (acos (+ (cbrt (pow (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 3)) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
* [misc]taylor:  Taking taylor expansion of (acos (+ (cbrt (pow (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 3)) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))))) in phi1
* [misc]backup-simplify:  Simplify (acos (+ (cbrt (pow (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 3)) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
* [misc]taylor:  Taking taylor expansion of (acos (+ (cbrt (pow (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 3)) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))))) in phi2
* [misc]backup-simplify:  Simplify (acos (+ (cbrt (pow (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 3)) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
* [misc]taylor:  Taking taylor expansion of (acos (+ (cbrt (pow (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 3)) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))))) in phi2
* [misc]backup-simplify:  Simplify (acos (+ (cbrt (pow (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 3)) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
* [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 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 (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (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 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 (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 (+ (cbrt (pow (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) 3)) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) in (phi2 phi1 lambda1 lambda2) around 0
* [misc]taylor:  Taking taylor expansion of (acos (+ (cbrt (pow (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) 3)) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) in lambda2
* [misc]backup-simplify:  Simplify (acos (+ (cbrt (pow (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) 3)) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))
* [misc]taylor:  Taking taylor expansion of (acos (+ (cbrt (pow (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) 3)) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) in lambda1
* [misc]backup-simplify:  Simplify (acos (+ (cbrt (pow (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) 3)) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))
* [misc]taylor:  Taking taylor expansion of (acos (+ (cbrt (pow (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) 3)) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) in phi1
* [misc]backup-simplify:  Simplify (acos (+ (cbrt (pow (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) 3)) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))
* [misc]taylor:  Taking taylor expansion of (acos (+ (cbrt (pow (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) 3)) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) in phi2
* [misc]backup-simplify:  Simplify (acos (+ (cbrt (pow (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) 3)) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))
* [misc]taylor:  Taking taylor expansion of (acos (+ (cbrt (pow (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) 3)) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) in phi2
* [misc]backup-simplify:  Simplify (acos (+ (cbrt (pow (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) 3)) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))
* [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 phi1
* [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 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 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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]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 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 (acos (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (sin (/ -1 (/ 1 (- lambda2))))))) (+ (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (cos (/ -1 (/ 1 (- lambda2)))))))))) into (acos (+ (* (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 1)
* [misc]approximate:  Taking taylor expansion of (pow (* (sin phi2) (sin phi1)) 3) in (phi2 phi1) around 0
* [misc]taylor:  Taking taylor expansion of (pow (* (sin phi2) (sin phi1)) 3) in phi1
* [misc]taylor:  Taking taylor expansion of (* (sin phi2) (sin phi1)) in phi1
* [misc]taylor:  Taking taylor expansion of (sin phi2) in phi1
* [misc]taylor:  Taking taylor expansion of phi2 in phi1
* [misc]backup-simplify:  Simplify phi2 into phi2
* [misc]backup-simplify:  Simplify (sin phi2) into (sin phi2)
* [misc]backup-simplify:  Simplify (cos phi2) into (cos phi2)
* [misc]taylor:  Taking taylor expansion of (sin 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 (* (sin phi2) 1) into (sin phi2)
* [misc]backup-simplify:  Simplify (* (cos phi2) 0) into 0
* [misc]backup-simplify:  Simplify (+ (sin phi2) 0) into (sin phi2)
* [misc]backup-simplify:  Simplify (* (sin phi2) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin phi2) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos phi2) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin phi2) 1) (* 0 0)) into (sin phi2)
* [misc]taylor:  Taking taylor expansion of (pow (* (sin phi2) (sin phi1)) 3) in phi2
* [misc]taylor:  Taking taylor expansion of (* (sin phi2) (sin phi1)) in phi2
* [misc]taylor:  Taking taylor expansion of (sin 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 phi1) in phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (sin phi1) into (sin phi1)
* [misc]backup-simplify:  Simplify (cos phi1) into (cos phi1)
* [misc]backup-simplify:  Simplify (* (sin phi1) 1) into (sin phi1)
* [misc]backup-simplify:  Simplify (* (cos phi1) 0) into 0
* [misc]backup-simplify:  Simplify (+ (sin phi1) 0) into (sin phi1)
* [misc]backup-simplify:  Simplify (* 0 (sin phi1)) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin phi1) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos phi1) 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 phi1))) into (sin phi1)
* [misc]taylor:  Taking taylor expansion of (pow (* (sin phi2) (sin phi1)) 3) in phi2
* [misc]taylor:  Taking taylor expansion of (* (sin phi2) (sin phi1)) in phi2
* [misc]taylor:  Taking taylor expansion of (sin 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 phi1) in phi2
* [misc]taylor:  Taking taylor expansion of phi1 in phi2
* [misc]backup-simplify:  Simplify phi1 into phi1
* [misc]backup-simplify:  Simplify (sin phi1) into (sin phi1)
* [misc]backup-simplify:  Simplify (cos phi1) into (cos phi1)
* [misc]backup-simplify:  Simplify (* (sin phi1) 1) into (sin phi1)
* [misc]backup-simplify:  Simplify (* (cos phi1) 0) into 0
* [misc]backup-simplify:  Simplify (+ (sin phi1) 0) into (sin phi1)
* [misc]backup-simplify:  Simplify (* 0 (sin phi1)) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin phi1) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos phi1) 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 phi1))) into (sin phi1)
* [misc]backup-simplify:  Simplify (* (sin phi1) (sin phi1)) into (pow (sin phi1) 2)
* [misc]backup-simplify:  Simplify (* (sin phi1) (pow (sin phi1) 2)) into (pow (sin phi1) 3)
* [misc]taylor:  Taking taylor expansion of (pow (sin phi1) 3) in phi1
* [misc]taylor:  Taking taylor expansion of (sin 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 (/ (pow 1 1) 1))) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin phi1) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos phi1) 0) (+ (* 0 0) (* 0 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 (+ (* 0 0) (+ (* 1 0) (* 0 (sin phi1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin phi1) 0) (* 0 (sin phi1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin phi1) 0) (* 0 (pow (sin phi1) 2))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin phi1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos phi1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6)
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* (- 1/6) (sin phi1))))) into (- (* 1/6 (sin phi1)))
* [misc]backup-simplify:  Simplify (+ (* (sin phi1) (- (* 1/6 (sin phi1)))) (+ (* 0 0) (* (- (* 1/6 (sin phi1))) (sin phi1)))) into (- (* 1/3 (pow (sin phi1) 2)))
* [misc]backup-simplify:  Simplify (+ (* (sin phi1) (- (* 1/3 (pow (sin phi1) 2)))) (+ (* 0 0) (* (- (* 1/6 (sin phi1))) (pow (sin phi1) 2)))) into (- (* 1/2 (pow (sin phi1) 3)))
* [misc]taylor:  Taking taylor expansion of (- (* 1/2 (pow (sin phi1) 3))) in phi1
* [misc]taylor:  Taking taylor expansion of (* 1/2 (pow (sin phi1) 3)) 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 (pow (sin phi1) 3) in phi1
* [misc]taylor:  Taking taylor expansion of (sin 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 (/ (pow 1 1) 1))) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 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 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6)
* [misc]backup-simplify:  Simplify (+ (* 1 (- 1/6)) (+ (* 0 0) (* (- 1/6) 1))) into -1/3
* [misc]backup-simplify:  Simplify (+ (* 1 -1/3) (+ (* 0 0) (* (- 1/6) 1))) into -1/2
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]backup-simplify:  Simplify (+ (* -1/2 (* (pow phi1 5) (pow phi2 3))) (+ (* -1/2 (* (pow phi1 3) (pow phi2 5))) (* 1 (pow (* phi1 phi2) 3)))) into (- (* (pow phi1 3) (pow phi2 3)) (+ (* 1/2 (* (pow phi1 3) (pow phi2 5))) (* 1/2 (* (pow phi1 5) (pow phi2 3)))))
* [misc]approximate:  Taking taylor expansion of (pow (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 3) in (phi2 phi1) around 0
* [misc]taylor:  Taking taylor expansion of (pow (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 3) in phi1
* [misc]taylor:  Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi1
* [misc]taylor:  Taking taylor expansion of (sin (/ 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 (sin (/ 1 phi2)) into (sin (/ 1 phi2))
* [misc]backup-simplify:  Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2))
* [misc]taylor:  Taking taylor expansion of (sin (/ 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 (sin (/ 1 phi1)) into (sin (/ 1 phi1))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 phi2)) 1) into (sin (/ 1 phi2))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 phi2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (sin (/ 1 phi2)) 0) into (sin (/ 1 phi2))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))
* [misc]taylor:  Taking taylor expansion of (pow (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 3) in phi2
* [misc]taylor:  Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi2
* [misc]taylor:  Taking taylor expansion of (sin (/ 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 (sin (/ 1 phi2)) into (sin (/ 1 phi2))
* [misc]taylor:  Taking taylor expansion of (sin (/ 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 (sin (/ 1 phi1)) into (sin (/ 1 phi1))
* [misc]backup-simplify:  Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 phi1)) 1) into (sin (/ 1 phi1))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 phi1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (sin (/ 1 phi1)) 0) into (sin (/ 1 phi1))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))
* [misc]taylor:  Taking taylor expansion of (pow (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 3) in phi2
* [misc]taylor:  Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi2
* [misc]taylor:  Taking taylor expansion of (sin (/ 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 (sin (/ 1 phi2)) into (sin (/ 1 phi2))
* [misc]taylor:  Taking taylor expansion of (sin (/ 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 (sin (/ 1 phi1)) into (sin (/ 1 phi1))
* [misc]backup-simplify:  Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 phi1)) 1) into (sin (/ 1 phi1))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 phi1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (sin (/ 1 phi1)) 0) into (sin (/ 1 phi1))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))
* [misc]backup-simplify:  Simplify (* (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))) into (* (pow (sin (/ 1 phi2)) 2) (pow (sin (/ 1 phi1)) 2))
* [misc]backup-simplify:  Simplify (* (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (pow (sin (/ 1 phi2)) 2) (pow (sin (/ 1 phi1)) 2))) into (* (pow (sin (/ 1 phi2)) 3) (pow (sin (/ 1 phi1)) 3))
* [misc]taylor:  Taking taylor expansion of (* (pow (sin (/ 1 phi2)) 3) (pow (sin (/ 1 phi1)) 3)) in phi1
* [misc]taylor:  Taking taylor expansion of (pow (sin (/ 1 phi2)) 3) in phi1
* [misc]taylor:  Taking taylor expansion of (sin (/ 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 (sin (/ 1 phi2)) into (sin (/ 1 phi2))
* [misc]backup-simplify:  Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 phi2)) 1) into (sin (/ 1 phi2))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 phi2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (sin (/ 1 phi2)) 0) into (sin (/ 1 phi2))
* [misc]taylor:  Taking taylor expansion of (pow (sin (/ 1 phi1)) 3) in phi1
* [misc]taylor:  Taking taylor expansion of (sin (/ 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 (sin (/ 1 phi1)) into (sin (/ 1 phi1))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi2))) into (pow (sin (/ 1 phi2)) 2)
* [misc]backup-simplify:  Simplify (* (sin (/ 1 phi2)) (pow (sin (/ 1 phi2)) 2)) into (pow (sin (/ 1 phi2)) 3)
* [misc]backup-simplify:  Simplify (* (sin (/ 1 phi1)) (sin (/ 1 phi1))) into (pow (sin (/ 1 phi1)) 2)
* [misc]backup-simplify:  Simplify (* (sin (/ 1 phi1)) (pow (sin (/ 1 phi1)) 2)) into (pow (sin (/ 1 phi1)) 3)
* [misc]backup-simplify:  Simplify (* (pow (sin (/ 1 phi2)) 3) (pow (sin (/ 1 phi1)) 3)) into (* (pow (sin (/ 1 phi2)) 3) (pow (sin (/ 1 phi1)) 3))
* [misc]backup-simplify:  Simplify (* (pow (sin (/ 1 phi2)) 3) (pow (sin (/ 1 phi1)) 3)) into (* (pow (sin (/ 1 phi2)) 3) (pow (sin (/ 1 phi1)) 3))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 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 (+ (* (cos (/ 1 phi1)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 (sin (/ 1 phi1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 0) (* 0 (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 0) (* 0 (* (pow (sin (/ 1 phi2)) 2) (pow (sin (/ 1 phi1)) 2)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 (sin (/ 1 phi1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 (pow (sin (/ 1 phi1)) 2))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 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 (+ (* (cos (/ 1 phi2)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 (sin (/ 1 phi2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 (pow (sin (/ 1 phi2)) 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (sin (/ 1 phi2)) 3) 0) (* 0 (pow (sin (/ 1 phi1)) 3))) 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 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 0) (+ (* 0 0) (* 0 (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 0) (+ (* 0 0) (* 0 (* (pow (sin (/ 1 phi2)) 2) (pow (sin (/ 1 phi1)) 2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi1
* [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 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (* 0 (pow (sin (/ 1 phi1)) 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 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 (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 (pow (sin (/ 1 phi2)) 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (sin (/ 1 phi2)) 3) 0) (+ (* 0 0) (* 0 (pow (sin (/ 1 phi1)) 3)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 phi1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (pow (sin (/ 1 phi2)) 2) (pow (sin (/ 1 phi1)) 2)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (pow (sin (/ 1 (/ 1 phi2))) 3) (pow (sin (/ 1 (/ 1 phi1))) 3)) into (* (pow (sin phi1) 3) (pow (sin phi2) 3))
* [misc]approximate:  Taking taylor expansion of (pow (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) 3) in (phi2 phi1) around 0
* [misc]taylor:  Taking taylor expansion of (pow (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) 3) in phi1
* [misc]taylor:  Taking taylor expansion of (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) in phi1
* [misc]taylor:  Taking taylor expansion of (sin (/ 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 (sin (/ -1 phi2)) into (sin (/ -1 phi2))
* [misc]backup-simplify:  Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2))
* [misc]taylor:  Taking taylor expansion of (sin (/ 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 (sin (/ 1 (- phi1))) into (sin (/ -1 phi1))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 phi2)) 1) into (sin (/ -1 phi2))
* [misc]backup-simplify:  Simplify (* (cos (/ -1 phi2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (sin (/ -1 phi2)) 0) into (sin (/ -1 phi2))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))
* [misc]taylor:  Taking taylor expansion of (pow (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) 3) in phi2
* [misc]taylor:  Taking taylor expansion of (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) in phi2
* [misc]taylor:  Taking taylor expansion of (sin (/ 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 (sin (/ 1 (- phi2))) into (sin (/ -1 phi2))
* [misc]taylor:  Taking taylor expansion of (sin (/ 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 (sin (/ -1 phi1)) into (sin (/ -1 phi1))
* [misc]backup-simplify:  Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 phi1)) 1) into (sin (/ -1 phi1))
* [misc]backup-simplify:  Simplify (* (cos (/ -1 phi1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (sin (/ -1 phi1)) 0) into (sin (/ -1 phi1))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))
* [misc]taylor:  Taking taylor expansion of (pow (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) 3) in phi2
* [misc]taylor:  Taking taylor expansion of (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) in phi2
* [misc]taylor:  Taking taylor expansion of (sin (/ 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 (sin (/ 1 (- phi2))) into (sin (/ -1 phi2))
* [misc]taylor:  Taking taylor expansion of (sin (/ 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 (sin (/ -1 phi1)) into (sin (/ -1 phi1))
* [misc]backup-simplify:  Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 phi1)) 1) into (sin (/ -1 phi1))
* [misc]backup-simplify:  Simplify (* (cos (/ -1 phi1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (sin (/ -1 phi1)) 0) into (sin (/ -1 phi1))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))
* [misc]backup-simplify:  Simplify (* (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) into (* (pow (sin (/ -1 phi1)) 2) (pow (sin (/ -1 phi2)) 2))
* [misc]backup-simplify:  Simplify (* (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (pow (sin (/ -1 phi1)) 2) (pow (sin (/ -1 phi2)) 2))) into (* (pow (sin (/ -1 phi1)) 3) (pow (sin (/ -1 phi2)) 3))
* [misc]taylor:  Taking taylor expansion of (* (pow (sin (/ -1 phi1)) 3) (pow (sin (/ -1 phi2)) 3)) in phi1
* [misc]taylor:  Taking taylor expansion of (pow (sin (/ -1 phi1)) 3) in phi1
* [misc]taylor:  Taking taylor expansion of (sin (/ -1 phi1)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ -1 phi1) in phi1
* [misc]taylor:  Taking taylor expansion of -1 in phi1
* [misc]backup-simplify:  Simplify -1 into -1
* [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 (sin (/ -1 phi1)) into (sin (/ -1 phi1))
* [misc]taylor:  Taking taylor expansion of (pow (sin (/ -1 phi2)) 3) in phi1
* [misc]taylor:  Taking taylor expansion of (sin (/ -1 phi2)) in phi1
* [misc]taylor:  Taking taylor expansion of (/ -1 phi2) in phi1
* [misc]taylor:  Taking taylor expansion of -1 in phi1
* [misc]backup-simplify:  Simplify -1 into -1
* [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 (sin (/ -1 phi2)) into (sin (/ -1 phi2))
* [misc]backup-simplify:  Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 phi2)) 1) into (sin (/ -1 phi2))
* [misc]backup-simplify:  Simplify (* (cos (/ -1 phi2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (sin (/ -1 phi2)) 0) into (sin (/ -1 phi2))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi1))) into (pow (sin (/ -1 phi1)) 2)
* [misc]backup-simplify:  Simplify (* (sin (/ -1 phi1)) (pow (sin (/ -1 phi1)) 2)) into (pow (sin (/ -1 phi1)) 3)
* [misc]backup-simplify:  Simplify (* (sin (/ -1 phi2)) (sin (/ -1 phi2))) into (pow (sin (/ -1 phi2)) 2)
* [misc]backup-simplify:  Simplify (* (sin (/ -1 phi2)) (pow (sin (/ -1 phi2)) 2)) into (pow (sin (/ -1 phi2)) 3)
* [misc]backup-simplify:  Simplify (* (pow (sin (/ -1 phi1)) 3) (pow (sin (/ -1 phi2)) 3)) into (* (pow (sin (/ -1 phi1)) 3) (pow (sin (/ -1 phi2)) 3))
* [misc]backup-simplify:  Simplify (* (pow (sin (/ -1 phi1)) 3) (pow (sin (/ -1 phi2)) 3)) into (* (pow (sin (/ -1 phi1)) 3) (pow (sin (/ -1 phi2)) 3))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [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 (+ (* (cos (/ -1 phi1)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 phi2)) 0) (* 0 (sin (/ -1 phi1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 0) (* 0 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 0) (* 0 (* (pow (sin (/ -1 phi1)) 2) (pow (sin (/ -1 phi2)) 2)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi1
* [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 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 (+ (* (cos (/ -1 phi2)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 phi2)) 0) (* 0 (sin (/ -1 phi2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 phi2)) 0) (* 0 (pow (sin (/ -1 phi2)) 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (pow (sin (/ -1 phi1)) 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (sin (/ -1 phi1)) 3) 0) (* 0 (pow (sin (/ -1 phi2)) 3))) 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 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 phi1) (/ 0 (- phi1))) (* 0 (/ 0 (- phi1))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 0) (+ (* 0 0) (* 0 (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 0) (+ (* 0 0) (* 0 (* (pow (sin (/ -1 phi1)) 2) (pow (sin (/ -1 phi2)) 2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi1
* [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 (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 phi2) (+ (* (/ -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 (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 phi2)) 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 phi1)) 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (sin (/ -1 phi1)) 3) 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 phi2)) 3)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- phi1) into (- phi1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 phi1) (/ 0 (- phi1))) (* 0 (/ 0 (- phi1))) (* 0 (/ 0 (- phi1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 phi1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 phi1)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (pow (sin (/ -1 phi1)) 2) (pow (sin (/ -1 phi2)) 2)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in phi1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (pow (sin (/ -1 (/ 1 (- phi1)))) 3) (pow (sin (/ -1 (/ 1 (- phi2)))) 3)) into (* (pow (sin phi1) 3) (pow (sin phi2) 3))
* * * * [misc]progress:  [ 4 / 4 ] generating series at (2)
* [misc]approximate:  Taking taylor expansion of (* (acos (+ (cbrt (pow (* (sin phi2) (sin phi1)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) in (phi2 phi1 lambda1 lambda2 R) around 0
* [misc]taylor:  Taking taylor expansion of (* (acos (+ (cbrt (pow (* (sin phi2) (sin phi1)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) in R
* [misc]taylor:  Taking taylor expansion of (acos (+ (cbrt (pow (* (sin phi2) (sin phi1)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) in R
* [misc]backup-simplify:  Simplify (acos (+ (cbrt (pow (* (sin phi2) (sin phi1)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
* [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 (+ (cbrt (pow (* (sin phi2) (sin phi1)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) in lambda2
* [misc]taylor:  Taking taylor expansion of (acos (+ (cbrt (pow (* (sin phi2) (sin phi1)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) in lambda2
* [misc]backup-simplify:  Simplify (acos (+ (cbrt (pow (* (sin phi2) (sin phi1)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
* [misc]taylor:  Taking taylor expansion of R in lambda2
* [misc]backup-simplify:  Simplify R into R
* [misc]taylor:  Taking taylor expansion of (* (acos (+ (cbrt (pow (* (sin phi2) (sin phi1)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) in lambda1
* [misc]taylor:  Taking taylor expansion of (acos (+ (cbrt (pow (* (sin phi2) (sin phi1)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) in lambda1
* [misc]backup-simplify:  Simplify (acos (+ (cbrt (pow (* (sin phi2) (sin phi1)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
* [misc]taylor:  Taking taylor expansion of R in lambda1
* [misc]backup-simplify:  Simplify R into R
* [misc]taylor:  Taking taylor expansion of (* (acos (+ (cbrt (pow (* (sin phi2) (sin phi1)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) in phi1
* [misc]taylor:  Taking taylor expansion of (acos (+ (cbrt (pow (* (sin phi2) (sin phi1)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) in phi1
* [misc]backup-simplify:  Simplify (acos (+ (cbrt (pow (* (sin phi2) (sin phi1)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
* [misc]taylor:  Taking taylor expansion of R in phi1
* [misc]backup-simplify:  Simplify R into R
* [misc]taylor:  Taking taylor expansion of (* (acos (+ (cbrt (pow (* (sin phi2) (sin phi1)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) in phi2
* [misc]taylor:  Taking taylor expansion of (acos (+ (cbrt (pow (* (sin phi2) (sin phi1)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) in phi2
* [misc]backup-simplify:  Simplify (acos (+ (cbrt (pow (* (sin phi2) (sin phi1)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
* [misc]taylor:  Taking taylor expansion of R in phi2
* [misc]backup-simplify:  Simplify R into R
* [misc]taylor:  Taking taylor expansion of (* (acos (+ (cbrt (pow (* (sin phi2) (sin phi1)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) in phi2
* [misc]taylor:  Taking taylor expansion of (acos (+ (cbrt (pow (* (sin phi2) (sin phi1)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) in phi2
* [misc]backup-simplify:  Simplify (acos (+ (cbrt (pow (* (sin phi2) (sin phi1)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
* [misc]taylor:  Taking taylor expansion of R in phi2
* [misc]backup-simplify:  Simplify R into R
* [misc]backup-simplify:  Simplify (* (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) R) into (* R (acos (+ (* (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 (* R (acos (+ (* (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 R in phi1
* [misc]backup-simplify:  Simplify R into R
* [misc]taylor:  Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1
* [misc]backup-simplify:  Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
* [misc]backup-simplify:  Simplify (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
* [misc]taylor:  Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda1
* [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) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1
* [misc]backup-simplify:  Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
* [misc]backup-simplify:  Simplify (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
* [misc]taylor:  Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda2
* [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) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2
* [misc]backup-simplify:  Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
* [misc]backup-simplify:  Simplify (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
* [misc]taylor:  Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in R
* [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) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in R
* [misc]backup-simplify:  Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
* [misc]backup-simplify:  Simplify (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 0) (* 0 R)) 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]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) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos 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) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos 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) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos 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) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
* [misc]backup-simplify:  Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
* [misc]backup-simplify:  Simplify (+ (* (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 0) (+ (* 0 0) (* 0 R))) 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]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) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos 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) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos 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) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (* R (* 1 (* 1 (* 1 1))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
* [misc]approximate:  Taking taylor expansion of (* (acos (+ (cbrt (pow (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 3)) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))))) (/ 1 R)) in (phi2 phi1 lambda1 lambda2 R) around 0
* [misc]taylor:  Taking taylor expansion of (* (acos (+ (cbrt (pow (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 3)) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))))) (/ 1 R)) in R
* [misc]taylor:  Taking taylor expansion of (acos (+ (cbrt (pow (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 3)) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))))) in R
* [misc]backup-simplify:  Simplify (acos (+ (cbrt (pow (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 3)) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
* [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 (+ (cbrt (pow (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 3)) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))))) (/ 1 R)) in lambda2
* [misc]taylor:  Taking taylor expansion of (acos (+ (cbrt (pow (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 3)) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))))) in lambda2
* [misc]backup-simplify:  Simplify (acos (+ (cbrt (pow (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 3)) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
* [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 (+ (cbrt (pow (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 3)) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))))) (/ 1 R)) in lambda1
* [misc]taylor:  Taking taylor expansion of (acos (+ (cbrt (pow (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 3)) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))))) in lambda1
* [misc]backup-simplify:  Simplify (acos (+ (cbrt (pow (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 3)) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
* [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 (+ (cbrt (pow (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 3)) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))))) (/ 1 R)) in phi1
* [misc]taylor:  Taking taylor expansion of (acos (+ (cbrt (pow (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 3)) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))))) in phi1
* [misc]backup-simplify:  Simplify (acos (+ (cbrt (pow (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 3)) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
* [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 (+ (cbrt (pow (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 3)) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))))) (/ 1 R)) in phi2
* [misc]taylor:  Taking taylor expansion of (acos (+ (cbrt (pow (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 3)) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))))) in phi2
* [misc]backup-simplify:  Simplify (acos (+ (cbrt (pow (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 3)) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
* [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 (+ (cbrt (pow (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 3)) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))))) (/ 1 R)) in phi2
* [misc]taylor:  Taking taylor expansion of (acos (+ (cbrt (pow (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 3)) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))))) in phi2
* [misc]backup-simplify:  Simplify (acos (+ (cbrt (pow (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 3)) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
* [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]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 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 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 R in phi1
* [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 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]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 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]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 (+ (cbrt (pow (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) 3)) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) (/ 1 (- R))) in (phi2 phi1 lambda1 lambda2 R) around 0
* [misc]taylor:  Taking taylor expansion of (* (acos (+ (cbrt (pow (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) 3)) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) (/ 1 (- R))) in R
* [misc]taylor:  Taking taylor expansion of (acos (+ (cbrt (pow (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) 3)) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) in R
* [misc]backup-simplify:  Simplify (acos (+ (cbrt (pow (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) 3)) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))
* [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 (+ (cbrt (pow (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) 3)) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) (/ 1 (- R))) in lambda2
* [misc]taylor:  Taking taylor expansion of (acos (+ (cbrt (pow (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) 3)) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) in lambda2
* [misc]backup-simplify:  Simplify (acos (+ (cbrt (pow (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) 3)) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))
* [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 (+ (cbrt (pow (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) 3)) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) (/ 1 (- R))) in lambda1
* [misc]taylor:  Taking taylor expansion of (acos (+ (cbrt (pow (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) 3)) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) in lambda1
* [misc]backup-simplify:  Simplify (acos (+ (cbrt (pow (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) 3)) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))
* [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 (+ (cbrt (pow (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) 3)) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) (/ 1 (- R))) in phi1
* [misc]taylor:  Taking taylor expansion of (acos (+ (cbrt (pow (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) 3)) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) in phi1
* [misc]backup-simplify:  Simplify (acos (+ (cbrt (pow (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) 3)) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))
* [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 (+ (cbrt (pow (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) 3)) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) (/ 1 (- R))) in phi2
* [misc]taylor:  Taking taylor expansion of (acos (+ (cbrt (pow (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) 3)) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) in phi2
* [misc]backup-simplify:  Simplify (acos (+ (cbrt (pow (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) 3)) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))
* [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 (+ (cbrt (pow (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) 3)) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) (/ 1 (- R))) in phi2
* [misc]taylor:  Taking taylor expansion of (acos (+ (cbrt (pow (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) 3)) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) in phi2
* [misc]backup-simplify:  Simplify (acos (+ (cbrt (pow (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) 3)) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))
* [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]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 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 phi1
* [misc]taylor:  Taking taylor expansion of -1 in phi1
* [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 phi1
* [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 phi1
* [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 phi1
* [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 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 phi2)) (cos (/ -1 lambda2)))))))) 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 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 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 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 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 lambda2)) (cos (/ -1 phi2)))))))) 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 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]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 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 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 phi2)) (cos (/ -1 lambda2)))))))) 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 phi2)) (cos (/ -1 lambda2)))))))) 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 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 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 lambda2)) (cos (/ -1 phi2)))))))) 1) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))
* [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 (* -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 (- 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 (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 0) (* 0 (/ -1 R))) 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]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 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 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 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 phi2)) (cos (/ -1 lambda2)))))))) (/ 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 phi2)) (cos (/ -1 lambda2)))))))))) 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 (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 0) (+ (* 0 0) (* 0 (/ -1 R)))) 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]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 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 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 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 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 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 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 phi2)) (cos (/ -1 lambda2)))))))) (/ 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 phi2)) (cos (/ -1 lambda2))))))))))) 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 (- phi2)))) (cos (/ -1 (/ 1 (- lambda2))))))))))) (* (/ 1 (/ 1 (- R))) (* 1 (* 1 (* 1 1))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 67 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (pow (pow (* (sin phi2) (sin phi1)) 3) 1/3) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
* * * * [misc]progress:  [ 2 / 67 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (pow (cbrt (pow (* (sin phi2) (sin phi1)) 3)) 1) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
* * * * [misc]progress:  [ 3 / 67 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (exp (log (cbrt (pow (* (sin phi2) (sin phi1)) 3)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
* * * * [misc]progress:  [ 4 / 67 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (log (exp (cbrt (pow (* (sin phi2) (sin phi1)) 3)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
* * * * [misc]progress:  [ 5 / 67 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (cbrt (pow (sin phi2) 3)) (cbrt (pow (sin phi1) 3))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
* [enter]simplify:  Simplifying (cbrt (pow (sin phi2) 3))
* * [misc]simplify:  iters left: 3 (5 enodes)
* * [misc]simplify:  iters left: 2 (8 enodes)
* * [misc]simplify:  iters left: 1 (12 enodes)
* [exit]simplify:  Simplified to (sin phi2)
* [misc]simplify:  Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi2) (cbrt (pow (sin phi1) 3))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
* * * * [misc]progress:  [ 6 / 67 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (cbrt (* (* (sin phi2) (sin phi1)) (* (sin phi2) (sin phi1)))) (cbrt (* (sin phi2) (sin phi1)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
* [enter]simplify:  Simplifying (cbrt (* (* (sin phi2) (sin phi1)) (* (sin phi2) (sin phi1))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (24 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))))
* [misc]simplify:  Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (cbrt (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi2) (sin phi1)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
* * * * [misc]progress:  [ 7 / 67 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (cbrt (* (cbrt (pow (* (sin phi2) (sin phi1)) 3)) (cbrt (pow (* (sin phi2) (sin phi1)) 3)))) (cbrt (cbrt (pow (* (sin phi2) (sin phi1)) 3)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
* [enter]simplify:  Simplifying (cbrt (* (cbrt (pow (* (sin phi2) (sin phi1)) 3)) (cbrt (pow (* (sin phi2) (sin phi1)) 3))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))))
* [misc]simplify:  Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (cbrt (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)))) (cbrt (cbrt (pow (* (sin phi2) (sin phi1)) 3)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
* * * * [misc]progress:  [ 8 / 67 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (cbrt (pow (sin phi2) 3)) (cbrt (pow (sin phi1) 3))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
* [enter]simplify:  Simplifying (cbrt (pow (sin phi2) 3))
* * [misc]simplify:  iters left: 3 (5 enodes)
* * [misc]simplify:  iters left: 2 (8 enodes)
* * [misc]simplify:  iters left: 1 (12 enodes)
* [exit]simplify:  Simplified to (sin phi2)
* [misc]simplify:  Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi2) (cbrt (pow (sin phi1) 3))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
* * * * [misc]progress:  [ 9 / 67 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (cbrt (* (sin phi2) (sin phi1))) (cbrt (* (* (sin phi2) (sin phi1)) (* (sin phi2) (sin phi1))))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
* [enter]simplify:  Simplifying (cbrt (* (sin phi2) (sin phi1)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* [exit]simplify:  Simplified to (cbrt (* (sin phi1) (sin phi2)))
* [misc]simplify:  Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (* (sin phi2) (sin phi1)) (* (sin phi2) (sin phi1))))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
* * * * [misc]progress:  [ 10 / 67 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (cbrt (sqrt (pow (* (sin phi2) (sin phi1)) 3))) (cbrt (sqrt (pow (* (sin phi2) (sin phi1)) 3)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
* [enter]simplify:  Simplifying (cbrt (sqrt (pow (* (sin phi2) (sin phi1)) 3)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (75 enodes)
* * [misc]simplify:  iters left: 2 (99 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (pow (* (sin phi1) (sin phi2)) 3)))
* [misc]simplify:  Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (cbrt (sqrt (pow (* (sin phi1) (sin phi2)) 3))) (cbrt (sqrt (pow (* (sin phi2) (sin phi1)) 3)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
* * * * [misc]progress:  [ 11 / 67 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (cbrt 1) (cbrt (pow (* (sin phi2) (sin phi1)) 3))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
* [enter]simplify:  Simplifying (cbrt 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* 1 (cbrt (pow (* (sin phi2) (sin phi1)) 3))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
* * * * [misc]progress:  [ 12 / 67 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (/ (cbrt (pow (- (cos (- phi2 phi1)) (cos (+ phi2 phi1))) 3)) (cbrt (pow 2 3))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
* [enter]simplify:  Simplifying (cbrt (pow (- (cos (- phi2 phi1)) (cos (+ phi2 phi1))) 3))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (102 enodes)
* * [misc]simplify:  iters left: 2 (308 enodes)
* [exit]simplify:  Simplified to (- (cos (- phi2 phi1)) (cos (+ phi1 phi2)))
* [misc]simplify:  Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (/ (- (cos (- phi2 phi1)) (cos (+ phi1 phi2))) (cbrt (pow 2 3))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
* * * * [misc]progress:  [ 13 / 67 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (cbrt (cbrt (pow (* (sin phi2) (sin phi1)) 3))) (cbrt (cbrt (pow (* (sin phi2) (sin phi1)) 3)))) (cbrt (cbrt (pow (* (sin phi2) (sin phi1)) 3)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
* * * * [misc]progress:  [ 14 / 67 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (* (cbrt (pow (* (sin phi2) (sin phi1)) 3)) (cbrt (pow (* (sin phi2) (sin phi1)) 3))) (cbrt (pow (* (sin phi2) (sin phi1)) 3)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
* * * * [misc]progress:  [ 15 / 67 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
* [enter]simplify:  Simplifying (sin phi2)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (sin phi2)
* [misc]simplify:  Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
* * * * [misc]progress:  [ 16 / 67 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sqrt (cbrt (pow (* (sin phi2) (sin phi1)) 3))) (sqrt (cbrt (pow (* (sin phi2) (sin phi1)) 3)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
* * * * [misc]progress:  [ 17 / 67 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* 1 (cbrt (pow (* (sin phi2) (sin phi1)) 3))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
* * * * [misc]progress:  [ 18 / 67 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (cbrt (pow (* (sin phi2) (sin phi1)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R))>
* * * * [misc]progress:  [ 19 / 67 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (pow (acos (+ (cbrt (pow (* (sin phi2) (sin phi1)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 1) R))>
* * * * [misc]progress:  [ 20 / 67 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (exp (log (acos (+ (cbrt (pow (* (sin phi2) (sin phi1)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))>
* * * * [misc]progress:  [ 21 / 67 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (acos (+ (cbrt (pow (* (sin phi2) (sin phi1)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))>
* * * * [misc]progress:  [ 22 / 67 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (* (cbrt (acos (+ (cbrt (pow (* (sin phi2) (sin phi1)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (cbrt (pow (* (sin phi2) (sin phi1)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (acos (+ (cbrt (pow (* (sin phi2) (sin phi1)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))>
* * * * [misc]progress:  [ 23 / 67 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (cbrt (* (* (acos (+ (cbrt (pow (* (sin phi2) (sin phi1)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (cbrt (pow (* (sin phi2) (sin phi1)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (cbrt (pow (* (sin phi2) (sin phi1)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))>
* * * * [misc]progress:  [ 24 / 67 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (acos (+ (cbrt (pow (* (sin phi2) (sin phi1)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (cbrt (pow (* (sin phi2) (sin phi1)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))>
* * * * [misc]progress:  [ 25 / 67 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* 1 (acos (+ (cbrt (pow (* (sin phi2) (sin phi1)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R))>
* * * * [misc]progress:  [ 26 / 67 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (exp (* (+ (log (sin phi2)) (log (sin phi1))) 3))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
* [enter]simplify:  Simplifying (* (+ (log (sin phi2)) (log (sin phi1))) 3)
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (* 3 (+ (log (sin phi1)) (log (sin phi2))))
* [misc]simplify:  Simplified (2 1 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (exp (* 3 (+ (log (sin phi1)) (log (sin phi2)))))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
* * * * [misc]progress:  [ 27 / 67 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (exp (* (log (* (sin phi2) (sin phi1))) 3))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
* [enter]simplify:  Simplifying (* (log (* (sin phi2) (sin phi1))) 3)
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* [exit]simplify:  Simplified to (* (log (* (sin phi1) (sin phi2))) 3)
* [misc]simplify:  Simplified (2 1 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (exp (* (log (* (sin phi1) (sin phi2))) 3))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
* * * * [misc]progress:  [ 28 / 67 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (exp (* (log (* (sin phi2) (sin phi1))) 3))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
* * * * [misc]progress:  [ 29 / 67 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (pow (* (sin phi2) (sin phi1)) (* 1 3))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
* [enter]simplify:  Simplifying (* (sin phi2) (sin phi1))
* * [misc]simplify:  iters left: 3 (5 enodes)
* * [misc]simplify:  iters left: 2 (6 enodes)
* [exit]simplify:  Simplified to (* (sin phi1) (sin phi2))
* [misc]simplify:  Simplified (2 1 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) (* 1 3))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
* * * * [misc]progress:  [ 30 / 67 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (pow (* (sin phi2) (sin phi1)) (* 1 3))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
* [enter]simplify:  Simplifying (* (sin phi2) (sin phi1))
* * [misc]simplify:  iters left: 3 (5 enodes)
* * [misc]simplify:  iters left: 2 (6 enodes)
* [exit]simplify:  Simplified to (* (sin phi1) (sin phi2))
* [misc]simplify:  Simplified (2 1 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) (* 1 3))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
* * * * [misc]progress:  [ 31 / 67 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (pow (sin phi2) 3) (pow (sin phi1) 3))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
* [enter]simplify:  Simplifying (pow (sin phi2) 3)
* * [misc]simplify:  iters left: 2 (4 enodes)
* * [misc]simplify:  iters left: 1 (7 enodes)
* [exit]simplify:  Simplified to (pow (sin phi2) 3)
* [misc]simplify:  Simplified (2 1 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (pow (sin phi2) 3) (pow (sin phi1) 3))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
* * * * [misc]progress:  [ 32 / 67 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (* (* (sin phi2) (sin phi1)) (* (sin phi2) (sin phi1))) (* (sin phi2) (sin phi1)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
* * * * [misc]progress:  [ 33 / 67 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (pow (pow (* (sin phi2) (sin phi1)) 3) 1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
* * * * [misc]progress:  [ 34 / 67 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (exp (log (pow (* (sin phi2) (sin phi1)) 3)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
* * * * [misc]progress:  [ 35 / 67 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (log (exp (pow (* (sin phi2) (sin phi1)) 3)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
* * * * [misc]progress:  [ 36 / 67 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (* (cbrt (pow (* (sin phi2) (sin phi1)) 3)) (cbrt (pow (* (sin phi2) (sin phi1)) 3))) (cbrt (pow (* (sin phi2) (sin phi1)) 3)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
* * * * [misc]progress:  [ 37 / 67 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (cbrt (* (* (pow (* (sin phi2) (sin phi1)) 3) (pow (* (sin phi2) (sin phi1)) 3)) (pow (* (sin phi2) (sin phi1)) 3)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
* * * * [misc]progress:  [ 38 / 67 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (pow (sin phi2) 3) (pow (sin phi1) 3))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
* [enter]simplify:  Simplifying (pow (sin phi2) 3)
* * [misc]simplify:  iters left: 2 (4 enodes)
* * [misc]simplify:  iters left: 1 (7 enodes)
* [exit]simplify:  Simplified to (pow (sin phi2) 3)
* [misc]simplify:  Simplified (2 1 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (pow (sin phi2) 3) (pow (sin phi1) 3))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
* * * * [misc]progress:  [ 39 / 67 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (/ (pow (- (cos (- phi2 phi1)) (cos (+ phi2 phi1))) 3) (pow 2 3))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
* [enter]simplify:  Simplifying (pow (- (cos (- phi2 phi1)) (cos (+ phi2 phi1))) 3)
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (87 enodes)
* * [misc]simplify:  iters left: 2 (297 enodes)
* [exit]simplify:  Simplified to (pow (- (cos (- phi2 phi1)) (cos (+ phi1 phi2))) 3)
* [misc]simplify:  Simplified (2 1 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (/ (pow (- (cos (- phi2 phi1)) (cos (+ phi1 phi2))) 3) (pow 2 3))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
* * * * [misc]progress:  [ 40 / 67 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (* (sin phi2) (sin phi1)) (* (* (sin phi2) (sin phi1)) (* (sin phi2) (sin phi1))))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
* * * * [misc]progress:  [ 41 / 67 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (* (* (sin phi2) (sin phi2)) (sin phi2)) (* (* (sin phi1) (sin phi1)) (sin phi1)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
* [enter]simplify:  Simplifying (* (* (sin phi2) (sin phi2)) (sin phi2))
* * [misc]simplify:  iters left: 5 (4 enodes)
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* [exit]simplify:  Simplified to (pow (sin phi2) 3)
* [misc]simplify:  Simplified (2 1 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (pow (sin phi2) 3) (* (* (sin phi1) (sin phi1)) (sin phi1)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
* * * * [misc]progress:  [ 42 / 67 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (* (* (sin phi2) (sin phi1)) (* (sin phi2) (sin phi1))) (* (sin phi2) (sin phi1)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
* [enter]simplify:  Simplifying (* (* (sin phi2) (sin phi1)) (* (sin phi2) (sin phi1)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* * [misc]simplify:  iters left: 3 (18 enodes)
* * [misc]simplify:  iters left: 2 (22 enodes)
* * [misc]simplify:  iters left: 1 (23 enodes)
* [exit]simplify:  Simplified to (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)))
* [misc]simplify:  Simplified (2 1 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi2) (sin phi1)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
* * * * [misc]progress:  [ 43 / 67 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (sqrt (pow (* (sin phi2) (sin phi1)) 3)) (sqrt (pow (* (sin phi2) (sin phi1)) 3)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
* * * * [misc]progress:  [ 44 / 67 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* 1 (pow (* (sin phi2) (sin phi1)) 3))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
* * * * [misc]progress:  [ 45 / 67 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (pow (* (acos (+ (cbrt (pow (* (sin phi2) (sin phi1)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) 1))>
* * * * [misc]progress:  [ 46 / 67 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (exp (log (* (acos (+ (cbrt (pow (* (sin phi2) (sin phi1)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))))>
* * * * [misc]progress:  [ 47 / 67 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (log (exp (* (acos (+ (cbrt (pow (* (sin phi2) (sin phi1)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))))>
* * * * [misc]progress:  [ 48 / 67 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (* (acos (+ (cbrt (pow (* (sin phi2) (sin phi1)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (cbrt (* (acos (+ (cbrt (pow (* (sin phi2) (sin phi1)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))) (cbrt (* (acos (+ (cbrt (pow (* (sin phi2) (sin phi1)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))))>
* * * * [misc]progress:  [ 49 / 67 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (cbrt (* (* (* (acos (+ (cbrt (pow (* (sin phi2) (sin phi1)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (* (acos (+ (cbrt (pow (* (sin phi2) (sin phi1)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (acos (+ (cbrt (pow (* (sin phi2) (sin phi1)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))))>
* * * * [misc]progress:  [ 50 / 67 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (* (acos (+ (cbrt (pow (* (sin phi2) (sin phi1)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (sqrt (* (acos (+ (cbrt (pow (* (sin phi2) (sin phi1)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))))>
* * * * [misc]progress:  [ 51 / 67 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* 1 (* (acos (+ (cbrt (pow (* (sin phi2) (sin phi1)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)))>
* * * * [misc]progress:  [ 52 / 67 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (acos (+ (cbrt (pow (* (sin phi2) (sin phi1)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (cbrt (pow (* (sin phi2) (sin phi1)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (* (cbrt (acos (+ (cbrt (pow (* (sin phi2) (sin phi1)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R)))>
* [enter]simplify:  Simplifying (* (cbrt (acos (+ (cbrt (pow (* (sin phi2) (sin phi1)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (cbrt (pow (* (sin phi2) (sin phi1)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (125 enodes)
* * [misc]simplify:  iters left: 3 (230 enodes)
* * [misc]simplify:  iters left: 2 (322 enodes)
* * [misc]simplify:  iters left: 1 (325 enodes)
* [exit]simplify:  Simplified to (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))))
* [misc]simplify:  Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))) (* (cbrt (acos (+ (cbrt (pow (* (sin phi2) (sin phi1)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R)))
* * * * [misc]progress:  [ 53 / 67 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (acos (+ (cbrt (pow (* (sin phi2) (sin phi1)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (sqrt (acos (+ (cbrt (pow (* (sin phi2) (sin phi1)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R)))>
* [enter]simplify:  Simplifying (sqrt (acos (+ (cbrt (pow (* (sin phi2) (sin phi1)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (124 enodes)
* * [misc]simplify:  iters left: 3 (224 enodes)
* * [misc]simplify:  iters left: 2 (310 enodes)
* * [misc]simplify:  iters left: 1 (311 enodes)
* [exit]simplify:  Simplified to (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))
* [misc]simplify:  Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))) (* (sqrt (acos (+ (cbrt (pow (* (sin phi2) (sin phi1)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R)))
* * * * [misc]progress:  [ 54 / 67 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* 1 (* (acos (+ (cbrt (pow (* (sin phi2) (sin phi1)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)))>
* * * * [misc]progress:  [ 55 / 67 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (cbrt (pow (* (sin phi2) (sin phi1)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))>
* * * * [misc]progress:  [ 56 / 67 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (- (exp (* 1/3 (+ (* 3 (log phi1)) (* 3 (log phi2))))) (+ (* 1/6 (* (exp (* 1/3 (+ (* 3 (log phi1)) (* 3 (log phi2))))) (pow phi1 2))) (* 1/6 (* (exp (* 1/3 (+ (* 3 (log phi1)) (* 3 (log phi2))))) (pow phi2 2))))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
* [enter]simplify:  Simplifying (- (exp (* 1/3 (+ (* 3 (log phi1)) (* 3 (log phi2))))) (+ (* 1/6 (* (exp (* 1/3 (+ (* 3 (log phi1)) (* 3 (log phi2))))) (pow phi1 2))) (* 1/6 (* (exp (* 1/3 (+ (* 3 (log phi1)) (* 3 (log phi2))))) (pow phi2 2)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (51 enodes)
* * [misc]simplify:  iters left: 4 (124 enodes)
* * [misc]simplify:  iters left: 3 (340 enodes)
* [exit]simplify:  Simplified to (+ (* phi1 phi2) (* (* (* phi1 phi2) -1/6) (+ (* phi1 phi1) (* phi2 phi2))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (+ (* phi1 phi2) (* (* (* phi1 phi2) -1/6) (+ (* phi1 phi1) (* phi2 phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
* * * * [misc]progress:  [ 57 / 67 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (pow (* (pow (sin phi1) 3) (pow (sin phi2) 3)) 1/3) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
* [enter]simplify:  Simplifying (pow (* (pow (sin phi1) 3) (pow (sin phi2) 3)) 1/3)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* * [misc]simplify:  iters left: 2 (69 enodes)
* * [misc]simplify:  iters left: 1 (98 enodes)
* [exit]simplify:  Simplified to (cbrt (* (pow (sin phi1) 3) (pow (sin phi2) 3)))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (pow (sin phi1) 3) (pow (sin phi2) 3))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
* * * * [misc]progress:  [ 58 / 67 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (pow (* (pow (sin phi1) 3) (pow (sin phi2) 3)) 1/3) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
* [enter]simplify:  Simplifying (pow (* (pow (sin phi1) 3) (pow (sin phi2) 3)) 1/3)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* * [misc]simplify:  iters left: 2 (69 enodes)
* * [misc]simplify:  iters left: 1 (98 enodes)
* [exit]simplify:  Simplified to (cbrt (* (pow (sin phi1) 3) (pow (sin phi2) 3)))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (pow (sin phi1) 3) (pow (sin phi2) 3))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
* * * * [misc]progress:  [ 59 / 67 ] 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:  [ 60 / 67 ] 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:  [ 61 / 67 ] 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:  [ 62 / 67 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (- (* (pow phi1 3) (pow phi2 3)) (+ (* 1/2 (* (pow phi1 3) (pow phi2 5))) (* 1/2 (* (pow phi1 5) (pow phi2 3)))))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
* [enter]simplify:  Simplifying (- (* (pow phi1 3) (pow phi2 3)) (+ (* 1/2 (* (pow phi1 3) (pow phi2 5))) (* 1/2 (* (pow phi1 5) (pow phi2 3)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (106 enodes)
* * [misc]simplify:  iters left: 3 (266 enodes)
* [exit]simplify:  Simplified to (- (* (* phi1 phi1) (- (* (* phi2 phi2) (* phi2 phi1)) (* (* phi1 1/2) (pow phi2 5)))) (* (* (pow phi1 5) (* phi2 1/2)) (* phi2 phi2)))
* [misc]simplify:  Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (- (* (* phi1 phi1) (- (* (* phi2 phi2) (* phi2 phi1)) (* (* phi1 1/2) (pow phi2 5)))) (* (* (pow phi1 5) (* phi2 1/2)) (* phi2 phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
* * * * [misc]progress:  [ 63 / 67 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (pow (sin phi1) 3) (pow (sin phi2) 3))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
* [enter]simplify:  Simplifying (* (pow (sin phi1) 3) (pow (sin phi2) 3))
* * [misc]simplify:  iters left: 4 (8 enodes)
* * [misc]simplify:  iters left: 3 (15 enodes)
* * [misc]simplify:  iters left: 2 (31 enodes)
* * [misc]simplify:  iters left: 1 (66 enodes)
* [exit]simplify:  Simplified to (* (pow (sin phi1) 3) (pow (sin phi2) 3))
* [misc]simplify:  Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (pow (sin phi1) 3) (pow (sin phi2) 3))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
* * * * [misc]progress:  [ 64 / 67 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (pow (sin phi1) 3) (pow (sin phi2) 3))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
* [enter]simplify:  Simplifying (* (pow (sin phi1) 3) (pow (sin phi2) 3))
* * [misc]simplify:  iters left: 4 (8 enodes)
* * [misc]simplify:  iters left: 3 (15 enodes)
* * [misc]simplify:  iters left: 2 (31 enodes)
* * [misc]simplify:  iters left: 1 (66 enodes)
* [exit]simplify:  Simplified to (* (pow (sin phi1) 3) (pow (sin phi2) 3))
* [misc]simplify:  Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (pow (sin phi1) 3) (pow (sin phi2) 3))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
* * * * [misc]progress:  [ 65 / 67 ] 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 (155 enodes)
* * [misc]simplify:  iters left: 2 (194 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:  [ 66 / 67 ] 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 (192 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:  [ 67 / 67 ] 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 (155 enodes)
* * [misc]simplify:  iters left: 2 (194 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:  adding candidates to table
* [misc]progress:  [Phase 3 of 3] Extracting.
* * [misc]regime:  Finding splitpoints for: (#<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))))))) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (cbrt (* (* (acos (+ (cbrt (pow (* (sin phi2) (sin phi1)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (cbrt (pow (* (sin phi2) (sin phi1)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (cbrt (pow (* (sin phi2) (sin phi1)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (cbrt (* (* (* (acos (+ (cbrt (pow (* (sin phi2) (sin phi1)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (* (acos (+ (cbrt (pow (* (sin phi2) (sin phi1)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (acos (+ (cbrt (pow (* (sin phi2) (sin phi1)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (* (cos phi1) (cos phi2)) (sqrt (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (sqrt (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R))> #<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))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (cbrt (* (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))) (* (* (pow (cos phi1) 3) (pow (cos phi2) 3)) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))) (* (cbrt (acos (+ (cbrt (pow (* (sin phi2) (sin phi1)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sqrt (sin phi1)) (* (sqrt (sin phi1)) (sin phi2))) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))))>)
* * * [misc]regime-changes:  Trying 7 branch expressions: (R lambda2 lambda1 (- lambda1 lambda2) (cos (- lambda1 lambda2)) phi2 phi1)
* * * * [misc]regimes:  Trying to branch on R from (#<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))))))) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (cbrt (* (* (acos (+ (cbrt (pow (* (sin phi2) (sin phi1)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (cbrt (pow (* (sin phi2) (sin phi1)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (cbrt (pow (* (sin phi2) (sin phi1)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (cbrt (* (* (* (acos (+ (cbrt (pow (* (sin phi2) (sin phi1)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (* (acos (+ (cbrt (pow (* (sin phi2) (sin phi1)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (acos (+ (cbrt (pow (* (sin phi2) (sin phi1)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (* (cos phi1) (cos phi2)) (sqrt (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (sqrt (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R))> #<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))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (cbrt (* (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))) (* (* (pow (cos phi1) 3) (pow (cos phi2) 3)) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))) (* (cbrt (acos (+ (cbrt (pow (* (sin phi2) (sin phi1)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sqrt (sin phi1)) (* (sqrt (sin phi1)) (sin phi2))) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))))>)
* * * * [misc]regimes:  Trying to branch on lambda2 from (#<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))))))) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (cbrt (* (* (acos (+ (cbrt (pow (* (sin phi2) (sin phi1)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (cbrt (pow (* (sin phi2) (sin phi1)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (cbrt (pow (* (sin phi2) (sin phi1)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (cbrt (* (* (* (acos (+ (cbrt (pow (* (sin phi2) (sin phi1)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (* (acos (+ (cbrt (pow (* (sin phi2) (sin phi1)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (acos (+ (cbrt (pow (* (sin phi2) (sin phi1)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (* (cos phi1) (cos phi2)) (sqrt (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (sqrt (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R))> #<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))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (cbrt (* (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))) (* (* (pow (cos phi1) 3) (pow (cos phi2) 3)) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))) (* (cbrt (acos (+ (cbrt (pow (* (sin phi2) (sin phi1)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sqrt (sin phi1)) (* (sqrt (sin phi1)) (sin phi2))) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))))>)
* * * * [misc]regimes:  Trying to branch on lambda1 from (#<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))))))) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (cbrt (* (* (acos (+ (cbrt (pow (* (sin phi2) (sin phi1)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (cbrt (pow (* (sin phi2) (sin phi1)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (cbrt (pow (* (sin phi2) (sin phi1)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (cbrt (* (* (* (acos (+ (cbrt (pow (* (sin phi2) (sin phi1)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (* (acos (+ (cbrt (pow (* (sin phi2) (sin phi1)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (acos (+ (cbrt (pow (* (sin phi2) (sin phi1)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (* (cos phi1) (cos phi2)) (sqrt (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (sqrt (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R))> #<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))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (cbrt (* (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))) (* (* (pow (cos phi1) 3) (pow (cos phi2) 3)) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))) (* (cbrt (acos (+ (cbrt (pow (* (sin phi2) (sin phi1)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sqrt (sin phi1)) (* (sqrt (sin phi1)) (sin phi2))) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))))>)
* * * * [misc]regimes:  Trying to branch on (- lambda1 lambda2) from (#<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))))))) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (cbrt (* (* (acos (+ (cbrt (pow (* (sin phi2) (sin phi1)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (cbrt (pow (* (sin phi2) (sin phi1)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (cbrt (pow (* (sin phi2) (sin phi1)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (cbrt (* (* (* (acos (+ (cbrt (pow (* (sin phi2) (sin phi1)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (* (acos (+ (cbrt (pow (* (sin phi2) (sin phi1)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (acos (+ (cbrt (pow (* (sin phi2) (sin phi1)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (* (cos phi1) (cos phi2)) (sqrt (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (sqrt (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R))> #<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))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (cbrt (* (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))) (* (* (pow (cos phi1) 3) (pow (cos phi2) 3)) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))) (* (cbrt (acos (+ (cbrt (pow (* (sin phi2) (sin phi1)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sqrt (sin phi1)) (* (sqrt (sin phi1)) (sin phi2))) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))))>)
* * * * [misc]regimes:  Trying to branch on (cos (- lambda1 lambda2)) from (#<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))))))) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (cbrt (* (* (acos (+ (cbrt (pow (* (sin phi2) (sin phi1)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (cbrt (pow (* (sin phi2) (sin phi1)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (cbrt (pow (* (sin phi2) (sin phi1)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (cbrt (* (* (* (acos (+ (cbrt (pow (* (sin phi2) (sin phi1)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (* (acos (+ (cbrt (pow (* (sin phi2) (sin phi1)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (acos (+ (cbrt (pow (* (sin phi2) (sin phi1)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (* (cos phi1) (cos phi2)) (sqrt (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (sqrt (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R))> #<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))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (cbrt (* (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))) (* (* (pow (cos phi1) 3) (pow (cos phi2) 3)) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))) (* (cbrt (acos (+ (cbrt (pow (* (sin phi2) (sin phi1)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sqrt (sin phi1)) (* (sqrt (sin phi1)) (sin phi2))) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))))>)
* * * * [misc]regimes:  Trying to branch on phi2 from (#<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))))))) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (cbrt (* (* (acos (+ (cbrt (pow (* (sin phi2) (sin phi1)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (cbrt (pow (* (sin phi2) (sin phi1)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (cbrt (pow (* (sin phi2) (sin phi1)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (cbrt (* (* (* (acos (+ (cbrt (pow (* (sin phi2) (sin phi1)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (* (acos (+ (cbrt (pow (* (sin phi2) (sin phi1)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (acos (+ (cbrt (pow (* (sin phi2) (sin phi1)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (* (cos phi1) (cos phi2)) (sqrt (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (sqrt (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R))> #<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))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (cbrt (* (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))) (* (* (pow (cos phi1) 3) (pow (cos phi2) 3)) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))) (* (cbrt (acos (+ (cbrt (pow (* (sin phi2) (sin phi1)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sqrt (sin phi1)) (* (sqrt (sin phi1)) (sin phi2))) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))))>)
* * * * [misc]regimes:  Trying to branch on phi1 from (#<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))))))) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))))))) R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (cbrt (* (* (acos (+ (cbrt (pow (* (sin phi2) (sin phi1)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (cbrt (pow (* (sin phi2) (sin phi1)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (cbrt (pow (* (sin phi2) (sin phi1)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (cbrt (* (* (* (acos (+ (cbrt (pow (* (sin phi2) (sin phi1)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (* (acos (+ (cbrt (pow (* (sin phi2) (sin phi1)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (acos (+ (cbrt (pow (* (sin phi2) (sin phi1)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (* (cos phi1) (cos phi2)) (sqrt (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (sqrt (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R))> #<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))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (cbrt (* (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))) (* (* (pow (cos phi1) 3) (pow (cos phi2) 3)) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))) (* (cbrt (acos (+ (cbrt (pow (* (sin phi2) (sin phi1)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sqrt (sin phi1)) (* (sqrt (sin phi1)) (sin phi2))) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2)))))) R))))>)
* * * [misc]regime:  Found split indices: #<option (#s(si 6 256))>
* [enter]simplify:  Simplifying (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* [exit]simplify:  Simplified to (* (log (exp (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1)))))) R)
* * * * [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 1344
* * * * [misc]points:  Setting MPFR precision to 1600
* * * * [misc]points:  Computing exacts on every 250 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Setting MPFR precision to 1600
* * * * [misc]points:  Computing exacts on every 125 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Setting MPFR precision to 1600
* * * * [misc]points:  Computing exacts on every 62 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Setting MPFR precision to 1600
* * * * [misc]points:  Computing exacts on every 31 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Setting MPFR precision to 1600
* * * * [misc]points:  Computing exacts on every 15 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Setting MPFR precision to 1600
* * * * [misc]points:  Computing exacts on every 7 of 8000 points to ramp up precision
* * * * [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 on every 3 of 8000 points to ramp up precision
* * * * [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:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 4 additional inputs, on iter 1 have 7997 / 8000
* * * * [misc]points:  Computing exacts for 4 points
* * * * [misc]points:  Setting MPFR precision to 1600
* * * * [misc]points:  Setting MPFR precision to 1856
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [exit]points:  Sampled 8001 points with exact outputs