* [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: Computing exacts on every 2 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 256 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 256 points with exact outputs * * * [misc]progress: [2/2] Setting up program. * [misc]progress: [Phase 2 of 3] Improving. * [enter]simplify: Simplifying (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (* R (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) * * [misc]progress: iteration 1 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 1 1 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 1 1 1) * [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 2) * [misc]approximate: Taking taylor expansion of (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) in (lambda1 lambda2 phi1 phi2) around 0 * [misc]taylor: Taking taylor expansion of (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) in phi2 * [misc]backup-simplify: Simplify (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) * [misc]taylor: Taking taylor expansion of (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) in phi1 * [misc]backup-simplify: Simplify (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) * [misc]taylor: Taking taylor expansion of (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) in lambda2 * [misc]backup-simplify: Simplify (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) * [misc]taylor: Taking taylor expansion of (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) in lambda1 * [misc]backup-simplify: Simplify (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) * [misc]taylor: Taking taylor expansion of (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) in lambda1 * [misc]backup-simplify: Simplify (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) 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]taylor: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi1 * [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 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)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) * [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]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]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 (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 (+ (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))) in (lambda1 lambda2 phi1 phi2) around 0 * [misc]taylor: Taking taylor expansion of (acos (+ (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))) in phi2 * [misc]backup-simplify: Simplify (acos (+ (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 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 (+ (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))) in phi1 * [misc]backup-simplify: Simplify (acos (+ (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 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 (+ (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))) in lambda2 * [misc]backup-simplify: Simplify (acos (+ (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 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 (+ (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))) in lambda1 * [misc]backup-simplify: Simplify (acos (+ (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 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 (+ (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))) in lambda1 * [misc]backup-simplify: Simplify (acos (+ (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 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]taylor: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in phi1 * [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 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]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 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]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]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 (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 (+ (* (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2)))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))) in (lambda1 lambda2 phi1 phi2) around 0 * [misc]taylor: Taking taylor expansion of (acos (+ (* (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2)))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))) in phi2 * [misc]backup-simplify: Simplify (acos (+ (* (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2)))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))) 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 (+ (* (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2)))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))) in phi1 * [misc]backup-simplify: Simplify (acos (+ (* (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2)))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))) 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 (+ (* (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2)))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))) in lambda2 * [misc]backup-simplify: Simplify (acos (+ (* (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2)))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))) 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 (+ (* (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2)))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))) in lambda1 * [misc]backup-simplify: Simplify (acos (+ (* (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2)))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))) 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 (+ (* (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2)))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))) in lambda1 * [misc]backup-simplify: Simplify (acos (+ (* (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2)))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))) 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]taylor: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in phi1 * [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 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]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 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]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]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 (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 (* R (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) in (R lambda1 lambda2 phi1 phi2) around 0 * [misc]taylor: Taking taylor expansion of (* R (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) 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 (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) in phi2 * [misc]backup-simplify: Simplify (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) * [misc]taylor: Taking taylor expansion of (* R (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) 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 (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) in phi1 * [misc]backup-simplify: Simplify (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) * [misc]taylor: Taking taylor expansion of (* R (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) 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 (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) in lambda2 * [misc]backup-simplify: Simplify (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) * [misc]taylor: Taking taylor expansion of (* R (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) 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 (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) in lambda1 * [misc]backup-simplify: Simplify (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) * [misc]taylor: Taking taylor expansion of (* R (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) 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 (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) in R * [misc]backup-simplify: Simplify (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) * [misc]taylor: Taking taylor expansion of (* R (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) 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 (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) in R * [misc]backup-simplify: Simplify (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) * [misc]backup-simplify: Simplify (* 0 (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (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 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 0) (* 1 (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]taylor: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi1 * [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 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)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) * [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]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 (+ (* 0 0) (+ (* 1 0) (* 0 (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (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 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 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 (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) (* 1 (* 1 (* 1 (* 1 R))))) into (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) * [misc]approximate: Taking taylor expansion of (* (/ 1 R) (acos (+ (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in (R lambda1 lambda2 phi1 phi2) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 R) (acos (+ (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in phi2 * [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 (+ (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))) in phi2 * [misc]backup-simplify: Simplify (acos (+ (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 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 (* (/ 1 R) (acos (+ (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in 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 (+ (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))) in phi1 * [misc]backup-simplify: Simplify (acos (+ (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 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 (* (/ 1 R) (acos (+ (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in lambda2 * [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 (+ (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))) in lambda2 * [misc]backup-simplify: Simplify (acos (+ (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 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 (* (/ 1 R) (acos (+ (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in lambda1 * [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 (+ (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))) in lambda1 * [misc]backup-simplify: Simplify (acos (+ (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 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 (* (/ 1 R) (acos (+ (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in R * [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 (+ (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))) in R * [misc]backup-simplify: Simplify (acos (+ (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 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 (* (/ 1 R) (acos (+ (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in R * [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 (+ (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))) in R * [misc]backup-simplify: Simplify (acos (+ (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 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 (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]taylor: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in phi1 * [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 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]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 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 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]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 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (* (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 (* 1 (* 1 (/ 1 (/ 1 R))))))) into (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) * [misc]approximate: Taking taylor expansion of (* (/ 1 (- R)) (acos (+ (* (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2)))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1))))))) in (R lambda1 lambda2 phi1 phi2) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- R)) (acos (+ (* (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2)))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1))))))) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 (- R)) in phi2 * [misc]taylor: Taking taylor expansion of (- R) in phi2 * [misc]taylor: Taking taylor expansion of R in phi2 * [misc]backup-simplify: Simplify R into R * [misc]backup-simplify: Simplify (- R) into (- R) * [misc]backup-simplify: Simplify (- R) into (- R) * [misc]backup-simplify: Simplify (/ 1 (- R)) into (/ -1 R) * [misc]taylor: Taking taylor expansion of (acos (+ (* (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2)))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))) in phi2 * [misc]backup-simplify: Simplify (acos (+ (* (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2)))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))) 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)) (acos (+ (* (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2)))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1))))))) in phi1 * [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 (+ (* (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2)))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))) in phi1 * [misc]backup-simplify: Simplify (acos (+ (* (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2)))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))) 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)) (acos (+ (* (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2)))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1))))))) in 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 (+ (* (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2)))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))) in lambda2 * [misc]backup-simplify: Simplify (acos (+ (* (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2)))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))) 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)) (acos (+ (* (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2)))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1))))))) in 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 (+ (* (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2)))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))) in lambda1 * [misc]backup-simplify: Simplify (acos (+ (* (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2)))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))) 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)) (acos (+ (* (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2)))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1))))))) in R * [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 (+ (* (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2)))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))) in R * [misc]backup-simplify: Simplify (acos (+ (* (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2)))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))) 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)) (acos (+ (* (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2)))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1))))))) in R * [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 (+ (* (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2)))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))) in R * [misc]backup-simplify: Simplify (acos (+ (* (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2)))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))) 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]taylor: Taking taylor expansion of (* -1 (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 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 (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]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]taylor: Taking taylor expansion of (* -1 (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 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 (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 (* -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]taylor: Taking taylor expansion of (* -1 (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 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 (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in phi1 * [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 (* -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]taylor: Taking taylor expansion of (* -1 (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 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 (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]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 (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 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]taylor: Taking taylor expansion of 0 in lambda1 * [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 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 (+ (* -1 0) (* 0 (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (+ (* -1 0) (* 0 (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))))) 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 (+ (* -1 0) (* 0 (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))))) 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 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 (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 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]taylor: Taking taylor expansion of 0 in lambda1 * [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 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 (* (* -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 (* 1 (* 1 (/ 1 (/ 1 (- R)))))))) into (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 1 1) * [misc]approximate: Taking taylor expansion of (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) in (lambda1 lambda2 phi1 phi2) around 0 * [misc]taylor: Taking taylor expansion of (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) in phi2 * [misc]taylor: Taking taylor expansion of (cos (- lambda1 lambda2)) in phi2 * [misc]taylor: Taking taylor expansion of (- lambda1 lambda2) in phi2 * [misc]taylor: Taking taylor expansion of lambda1 in phi2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in phi2 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2) * [misc]backup-simplify: Simplify (cos (- lambda1 lambda2)) into (cos (- lambda1 lambda2)) * [misc]backup-simplify: Simplify (sin (- lambda1 lambda2)) into (sin (- lambda1 lambda2)) * [misc]taylor: Taking taylor expansion of (* (cos phi1) (cos phi2)) in phi2 * [misc]taylor: Taking taylor expansion of (cos phi1) in phi2 * [misc]taylor: Taking taylor expansion of phi1 in phi2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (cos phi1) into (cos phi1) * [misc]backup-simplify: Simplify (sin phi1) into (sin phi1) * [misc]taylor: Taking taylor expansion of (cos phi2) in phi2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) in phi1 * [misc]taylor: Taking taylor expansion of (cos (- lambda1 lambda2)) in phi1 * [misc]taylor: Taking taylor expansion of (- lambda1 lambda2) in phi1 * [misc]taylor: Taking taylor expansion of lambda1 in phi1 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in phi1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2) * [misc]backup-simplify: Simplify (cos (- lambda1 lambda2)) into (cos (- lambda1 lambda2)) * [misc]backup-simplify: Simplify (sin (- lambda1 lambda2)) into (sin (- lambda1 lambda2)) * [misc]taylor: Taking taylor expansion of (* (cos phi1) (cos phi2)) in phi1 * [misc]taylor: Taking taylor expansion of (cos phi1) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (cos phi2) into (cos phi2) * [misc]backup-simplify: Simplify (sin phi2) into (sin phi2) * [misc]taylor: Taking taylor expansion of (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) in lambda2 * [misc]taylor: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of (- lambda1 lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ lambda1 0) into lambda1 * [misc]backup-simplify: Simplify (cos lambda1) into (cos lambda1) * [misc]backup-simplify: Simplify (sin lambda1) into (sin lambda1) * [misc]taylor: Taking taylor expansion of (* (cos phi1) (cos phi2)) in lambda2 * [misc]taylor: Taking taylor expansion of (cos phi1) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (cos phi1) into (cos phi1) * [misc]backup-simplify: Simplify (sin phi1) into (sin phi1) * [misc]taylor: Taking taylor expansion of (cos phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (cos phi2) into (cos phi2) * [misc]backup-simplify: Simplify (sin phi2) into (sin phi2) * [misc]taylor: Taking taylor expansion of (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) in 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 phi1) (cos phi2)) in lambda1 * [misc]taylor: Taking taylor expansion of (cos phi1) in lambda1 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (cos phi1) into (cos phi1) * [misc]backup-simplify: Simplify (sin phi1) into (sin phi1) * [misc]taylor: Taking taylor expansion of (cos phi2) in lambda1 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (cos phi2) into (cos phi2) * [misc]backup-simplify: Simplify (sin phi2) into (sin phi2) * [misc]taylor: Taking taylor expansion of (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) in 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 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 (* (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 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 (* (cos (- lambda2)) (* (cos phi1) (cos phi2))) into (* (cos phi1) (* (cos phi2) (cos (- lambda2)))) * [misc]taylor: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (cos (- 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) (cos (- 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 (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 (* (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) 1) into (cos phi2) * [misc]backup-simplify: Simplify (* (cos phi1) (cos phi2)) into (* (cos phi1) (cos phi2)) * [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]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]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 1 into 1 * [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 (+ (* (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]backup-simplify: Simplify (+ (* (cos (- lambda2)) 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) (* (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]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 (* (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]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 (+ 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 (+ (* (cos phi2) 0) (* 0 1)) 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]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 (+ (* 1 0) (* 0 (cos 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 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 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]backup-simplify: Simplify (+ (* (cos (- lambda2)) 0) (+ (* (- (sin (- lambda2))) 0) (* (- (* 1/2 (cos (- lambda2)))) (* (cos phi1) (cos phi2))))) into (- (* 1/2 (* (cos phi1) (* (cos phi2) (cos (- lambda2)))))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (* (cos phi1) (* (cos phi2) (cos (- lambda2)))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/2 (* (cos phi1) (* (cos phi2) (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 phi1) (* (cos phi2) (cos (- 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) (cos (- 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 (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 (* (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) 1) into (cos phi2) * [misc]backup-simplify: Simplify (* (cos phi1) (cos phi2)) into (* (cos phi1) (cos phi2)) * [misc]backup-simplify: Simplify (* 1/2 (* (cos phi1) (cos phi2))) into (* 1/2 (* (cos phi1) (cos phi2))) * [misc]backup-simplify: Simplify (- (* 1/2 (* (cos phi1) (cos phi2)))) into (- (* 1/2 (* (cos phi1) (cos phi2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (* (cos phi1) (cos phi2)))) in phi1 * [misc]taylor: Taking taylor expansion of (* 1/2 (* (cos phi1) (cos phi2))) 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 (* (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]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 (* 1/2 (cos phi2)) into (* 1/2 (cos phi2)) * [misc]backup-simplify: Simplify (- (* 1/2 (cos phi2))) into (- (* 1/2 (cos phi2))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (cos phi2))) in phi2 * [misc]taylor: Taking taylor expansion of (* 1/2 (cos phi2)) in phi2 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (cos 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 (* 1/2 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 (+ 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 (+ (* (cos phi2) (- 1)) (* 0 0)) into (- (cos phi2)) * [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) (- (cos phi2))) (* 0 0)) into (- (* (cos phi1) (cos phi2))) * [misc]backup-simplify: Simplify (- (- (* (cos phi1) (cos phi2)))) into (* (cos phi1) (cos phi2)) * [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]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]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 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (* 1 (* 1 (* lambda2 lambda1)))) (+ (* -1/2 (pow (* 1 (* 1 (* 1 lambda1))) 2)) 1)) into (- (+ 1 (* lambda2 lambda1)) (* 1/2 (pow lambda1 2))) * [misc]approximate: Taking taylor expansion of (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) in (lambda1 lambda2 phi1 phi2) around 0 * [misc]taylor: Taking taylor expansion of (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) in phi2 * [misc]taylor: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in phi2 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in phi2 * [misc]taylor: Taking taylor expansion of lambda1 in phi2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (/ 1 lambda1) into (/ 1 lambda1) * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in phi2 * [misc]taylor: Taking taylor expansion of lambda2 in phi2 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (/ 1 lambda2) into (/ 1 lambda2) * [misc]backup-simplify: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) * [misc]backup-simplify: Simplify (+ (/ 1 lambda1) (- (/ 1 lambda2))) into (- (/ 1 lambda1) (/ 1 lambda2)) * [misc]backup-simplify: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) * [misc]backup-simplify: Simplify (sin (- (/ 1 lambda1) (/ 1 lambda2))) into (sin (- (/ 1 lambda1) (/ 1 lambda2))) * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) in phi2 * [misc]taylor: Taking taylor expansion of (cos (/ 1 phi1)) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi2 * [misc]taylor: Taking taylor expansion of phi1 in phi2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]backup-simplify: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) * [misc]backup-simplify: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 phi2)) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) * [misc]taylor: Taking taylor expansion of (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) in phi1 * [misc]taylor: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in phi1 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in phi1 * [misc]taylor: Taking taylor expansion of lambda1 in phi1 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (/ 1 lambda1) into (/ 1 lambda1) * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in phi1 * [misc]taylor: Taking taylor expansion of lambda2 in phi1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (/ 1 lambda2) into (/ 1 lambda2) * [misc]backup-simplify: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) * [misc]backup-simplify: Simplify (+ (/ 1 lambda1) (- (/ 1 lambda2))) into (- (/ 1 lambda1) (/ 1 lambda2)) * [misc]backup-simplify: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) * [misc]backup-simplify: Simplify (sin (- (/ 1 lambda1) (/ 1 lambda2))) into (sin (- (/ 1 lambda1) (/ 1 lambda2))) * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) in phi1 * [misc]taylor: Taking taylor expansion of (cos (/ 1 phi1)) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 phi2)) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]backup-simplify: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) * [misc]backup-simplify: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) * [misc]taylor: Taking taylor expansion of (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (/ 1 lambda1) into (/ 1 lambda1) * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) in lambda2 * [misc]taylor: Taking taylor expansion of (cos (/ 1 phi1)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]backup-simplify: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) * [misc]backup-simplify: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 phi2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]backup-simplify: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) * [misc]backup-simplify: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) * [misc]taylor: Taking taylor expansion of (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) in lambda1 * [misc]taylor: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (/ 1 lambda2) into (/ 1 lambda2) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) in lambda1 * [misc]taylor: Taking taylor expansion of (cos (/ 1 phi1)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda1 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]backup-simplify: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) * [misc]backup-simplify: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 phi2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda1 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]backup-simplify: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) * [misc]backup-simplify: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) * [misc]taylor: Taking taylor expansion of (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) in lambda1 * [misc]taylor: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (/ 1 lambda2) into (/ 1 lambda2) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 phi1)) (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 (* (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 (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) into (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))) in lambda2 * [misc]taylor: Taking taylor expansion of (cos (/ 1 phi2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]backup-simplify: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) * [misc]backup-simplify: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) * [misc]taylor: Taking taylor expansion of (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))) in lambda2 * [misc]taylor: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (/ 1 lambda1) into (/ 1 lambda1) * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) * [misc]taylor: Taking taylor expansion of (cos (/ 1 phi1)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]backup-simplify: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) * [misc]backup-simplify: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) * [misc]backup-simplify: Simplify (* (cos (/ 1 phi2)) 1) into (cos (/ 1 phi2)) * [misc]backup-simplify: Simplify (* (sin (/ 1 phi2)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1 phi2)) 0) into (cos (/ 1 phi2)) * [misc]backup-simplify: Simplify (* (cos (/ 1 phi1)) 1) into (cos (/ 1 phi1)) * [misc]backup-simplify: Simplify (* (sin (/ 1 phi1)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1 phi1)) 0) into (cos (/ 1 phi1)) * [misc]backup-simplify: Simplify (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))) into (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))) * [misc]backup-simplify: Simplify (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))) into (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (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 (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))) in phi1 * [misc]taylor: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in phi1 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in phi1 * [misc]taylor: Taking taylor expansion of lambda1 in phi1 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (/ 1 lambda1) into (/ 1 lambda1) * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in phi1 * [misc]taylor: Taking taylor expansion of lambda2 in phi1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (/ 1 lambda2) into (/ 1 lambda2) * [misc]backup-simplify: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) * [misc]backup-simplify: Simplify (+ (/ 1 lambda1) (- (/ 1 lambda2))) into (- (/ 1 lambda1) (/ 1 lambda2)) * [misc]backup-simplify: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) * [misc]backup-simplify: Simplify (sin (- (/ 1 lambda1) (/ 1 lambda2))) into (sin (- (/ 1 lambda1) (/ 1 lambda2))) * [misc]taylor: Taking taylor expansion of (cos (/ 1 phi1)) 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 (* (cos (/ 1 phi2)) 1) into (cos (/ 1 phi2)) * [misc]backup-simplify: Simplify (* (sin (/ 1 phi2)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1 phi2)) 0) into (cos (/ 1 phi2)) * [misc]backup-simplify: Simplify (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) 1) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) * [misc]backup-simplify: Simplify (* (sin (- (/ 1 lambda1) (/ 1 lambda2))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- (/ 1 lambda1) (/ 1 lambda2))) 0) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) * [misc]backup-simplify: Simplify (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))) into (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))) * [misc]backup-simplify: Simplify (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))) into (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))) in phi2 * [misc]taylor: Taking taylor expansion of (cos (/ 1 phi2)) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) * [misc]taylor: Taking taylor expansion of (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))) in phi2 * [misc]taylor: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in phi2 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in phi2 * [misc]taylor: Taking taylor expansion of lambda1 in phi2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (/ 1 lambda1) into (/ 1 lambda1) * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in phi2 * [misc]taylor: Taking taylor expansion of lambda2 in phi2 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (/ 1 lambda2) into (/ 1 lambda2) * [misc]backup-simplify: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) * [misc]backup-simplify: Simplify (+ (/ 1 lambda1) (- (/ 1 lambda2))) into (- (/ 1 lambda1) (/ 1 lambda2)) * [misc]backup-simplify: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) * [misc]backup-simplify: Simplify (sin (- (/ 1 lambda1) (/ 1 lambda2))) into (sin (- (/ 1 lambda1) (/ 1 lambda2))) * [misc]taylor: Taking taylor expansion of (cos (/ 1 phi1)) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi2 * [misc]taylor: Taking taylor expansion of phi1 in phi2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]backup-simplify: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) * [misc]backup-simplify: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) * [misc]backup-simplify: Simplify (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) 1) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) * [misc]backup-simplify: Simplify (* (sin (- (/ 1 lambda1) (/ 1 lambda2))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- (/ 1 lambda1) (/ 1 lambda2))) 0) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) * [misc]backup-simplify: Simplify (* (cos (/ 1 phi1)) 1) into (cos (/ 1 phi1)) * [misc]backup-simplify: Simplify (* (sin (/ 1 phi1)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1 phi1)) 0) into (cos (/ 1 phi1)) * [misc]backup-simplify: Simplify (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))) into (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))) * [misc]backup-simplify: Simplify (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))) into (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))) into (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 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 (+ (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) 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 (+ (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) 0) (* 0 (cos (/ 1 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in 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 lambda1) (/ 1 lambda2))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- (/ 1 lambda1) (/ 1 lambda2))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) 0) (* 0 (cos (/ 1 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in 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 (+ (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- (/ 1 lambda1) (/ 1 lambda2))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) 0) (* 0 (cos (/ 1 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))))) into 0 * [misc]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 (+ (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) 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 (* (cos (/ 1 (/ 1 phi2))) (* (cos (- (/ 1 (/ 1 lambda1)) (/ 1 (/ 1 lambda2)))) (cos (/ 1 (/ 1 phi1))))) into (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) * [misc]approximate: Taking taylor expansion of (* (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2)))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) in (lambda1 lambda2 phi1 phi2) around 0 * [misc]taylor: Taking taylor expansion of (* (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2)))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) in phi2 * [misc]taylor: Taking taylor expansion of (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2)))) in phi2 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda1)) in phi2 * [misc]taylor: Taking taylor expansion of (- lambda1) in phi2 * [misc]taylor: Taking taylor expansion of lambda1 in phi2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (/ 1 (- lambda1)) into (/ -1 lambda1) * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda2)) in phi2 * [misc]taylor: Taking taylor expansion of (- lambda2) in phi2 * [misc]taylor: Taking taylor expansion of lambda2 in phi2 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (/ 1 (- lambda2)) into (/ -1 lambda2) * [misc]backup-simplify: Simplify (- (/ -1 lambda2)) into (/ 1 lambda2) * [misc]backup-simplify: Simplify (+ (/ -1 lambda1) (/ 1 lambda2)) into (- (/ 1 lambda2) (/ 1 lambda1)) * [misc]backup-simplify: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) * [misc]backup-simplify: Simplify (sin (- (/ 1 lambda2) (/ 1 lambda1))) into (sin (- (/ 1 lambda2) (/ 1 lambda1))) * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) in phi2 * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- phi1))) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi1)) in phi2 * [misc]taylor: Taking taylor expansion of (- phi1) in phi2 * [misc]taylor: Taking taylor expansion of phi1 in phi2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (/ 1 (- phi1)) into (/ -1 phi1) * [misc]backup-simplify: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) * [misc]backup-simplify: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- phi2))) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi2)) in phi2 * [misc]taylor: Taking taylor expansion of (- phi2) in phi2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- phi2))) into (cos (/ -1 phi2)) * [misc]taylor: Taking taylor expansion of (* (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2)))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) in phi1 * [misc]taylor: Taking taylor expansion of (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2)))) in phi1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda1)) in phi1 * [misc]taylor: Taking taylor expansion of (- lambda1) in phi1 * [misc]taylor: Taking taylor expansion of lambda1 in phi1 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (/ 1 (- lambda1)) into (/ -1 lambda1) * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda2)) in phi1 * [misc]taylor: Taking taylor expansion of (- lambda2) in phi1 * [misc]taylor: Taking taylor expansion of lambda2 in phi1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (/ 1 (- lambda2)) into (/ -1 lambda2) * [misc]backup-simplify: Simplify (- (/ -1 lambda2)) into (/ 1 lambda2) * [misc]backup-simplify: Simplify (+ (/ -1 lambda1) (/ 1 lambda2)) into (- (/ 1 lambda2) (/ 1 lambda1)) * [misc]backup-simplify: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) * [misc]backup-simplify: Simplify (sin (- (/ 1 lambda2) (/ 1 lambda1))) into (sin (- (/ 1 lambda2) (/ 1 lambda1))) * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) in phi1 * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- phi1))) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi1)) in phi1 * [misc]taylor: Taking taylor expansion of (- phi1) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- phi1))) into (cos (/ -1 phi1)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- phi2))) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi2)) in phi1 * [misc]taylor: Taking taylor expansion of (- phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (/ 1 (- phi2)) into (/ -1 phi2) * [misc]backup-simplify: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) * [misc]backup-simplify: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) * [misc]taylor: Taking taylor expansion of (* (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2)))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) in lambda2 * [misc]taylor: Taking taylor expansion of (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda1)) in lambda2 * [misc]taylor: Taking taylor expansion of (- lambda1) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (/ 1 (- lambda1)) into (/ -1 lambda1) * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of (- lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2)))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- phi1))) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi1)) in lambda2 * [misc]taylor: Taking taylor expansion of (- phi1) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (/ 1 (- phi1)) into (/ -1 phi1) * [misc]backup-simplify: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) * [misc]backup-simplify: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- phi2))) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi2)) in lambda2 * [misc]taylor: Taking taylor expansion of (- phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (/ 1 (- phi2)) into (/ -1 phi2) * [misc]backup-simplify: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) * [misc]backup-simplify: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) * [misc]taylor: Taking taylor expansion of (* (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2)))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) in lambda1 * [misc]taylor: Taking taylor expansion of (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2)))) in lambda1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda1)) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda1) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda2)) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (/ 1 (- lambda2)) into (/ -1 lambda2) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2)))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) in lambda1 * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- phi1))) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi1)) in lambda1 * [misc]taylor: Taking taylor expansion of (- phi1) in lambda1 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (/ 1 (- phi1)) into (/ -1 phi1) * [misc]backup-simplify: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) * [misc]backup-simplify: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- phi2))) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi2)) in lambda1 * [misc]taylor: Taking taylor expansion of (- phi2) in lambda1 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (/ 1 (- phi2)) into (/ -1 phi2) * [misc]backup-simplify: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) * [misc]backup-simplify: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) * [misc]taylor: Taking taylor expansion of (* (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2)))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) in lambda1 * [misc]taylor: Taking taylor expansion of (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2)))) in lambda1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda1)) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda1) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda2)) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (/ 1 (- lambda2)) into (/ -1 lambda2) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2)))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) 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 (* (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 (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))) into (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) * [misc]taylor: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in lambda2 * [misc]taylor: Taking taylor expansion of (cos (/ -1 phi1)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ -1 phi1) in lambda2 * [misc]taylor: Taking taylor expansion of -1 in lambda2 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ -1 phi1) into (/ -1 phi1) * [misc]backup-simplify: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) * [misc]backup-simplify: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) * [misc]taylor: Taking taylor expansion of (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) in lambda2 * [misc]taylor: Taking taylor expansion of (cos (/ -1 phi2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ -1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of -1 in lambda2 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ -1 phi2) into (/ -1 phi2) * [misc]backup-simplify: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) * [misc]backup-simplify: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) * [misc]taylor: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (/ 1 lambda1) into (/ 1 lambda1) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) * [misc]backup-simplify: Simplify (* (cos (/ -1 phi1)) 1) into (cos (/ -1 phi1)) * [misc]backup-simplify: Simplify (* (sin (/ -1 phi1)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1 phi1)) 0) into (cos (/ -1 phi1)) * [misc]backup-simplify: Simplify (* (cos (/ -1 phi2)) 1) into (cos (/ -1 phi2)) * [misc]backup-simplify: Simplify (* (sin (/ -1 phi2)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1 phi2)) 0) into (cos (/ -1 phi2)) * [misc]backup-simplify: Simplify (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) into (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) * [misc]backup-simplify: Simplify (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) into (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) * [misc]taylor: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) 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 (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) 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 (cos (- (/ 1 lambda2) (/ 1 lambda1))) in phi1 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) 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]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 (- (/ 1 lambda1)) into (- (/ 1 lambda1)) * [misc]backup-simplify: Simplify (+ (/ 1 lambda2) (- (/ 1 lambda1))) into (- (/ 1 lambda2) (/ 1 lambda1)) * [misc]backup-simplify: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) * [misc]backup-simplify: Simplify (sin (- (/ 1 lambda2) (/ 1 lambda1))) into (sin (- (/ 1 lambda2) (/ 1 lambda1))) * [misc]backup-simplify: Simplify (* (cos (/ -1 phi2)) 1) into (cos (/ -1 phi2)) * [misc]backup-simplify: Simplify (* (sin (/ -1 phi2)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1 phi2)) 0) into (cos (/ -1 phi2)) * [misc]backup-simplify: Simplify (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) 1) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) * [misc]backup-simplify: Simplify (* (sin (- (/ 1 lambda2) (/ 1 lambda1))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- (/ 1 lambda2) (/ 1 lambda1))) 0) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) * [misc]backup-simplify: Simplify (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) into (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) * [misc]backup-simplify: Simplify (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) into (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) * [misc]taylor: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in phi2 * [misc]taylor: Taking taylor expansion of (cos (/ -1 phi1)) in phi2 * [misc]taylor: Taking taylor expansion of (/ -1 phi1) in phi2 * [misc]taylor: Taking taylor expansion of -1 in phi2 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of phi1 in phi2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ -1 phi1) into (/ -1 phi1) * [misc]backup-simplify: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) * [misc]backup-simplify: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) * [misc]taylor: Taking taylor expansion of (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) in phi2 * [misc]taylor: Taking taylor expansion of (cos (/ -1 phi2)) in phi2 * [misc]taylor: Taking taylor expansion of (/ -1 phi2) in phi2 * [misc]taylor: Taking taylor expansion of -1 in phi2 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) * [misc]taylor: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in phi2 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in phi2 * [misc]taylor: Taking taylor expansion of lambda2 in phi2 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (/ 1 lambda2) into (/ 1 lambda2) * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in phi2 * [misc]taylor: Taking taylor expansion of lambda1 in phi2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (/ 1 lambda1) into (/ 1 lambda1) * [misc]backup-simplify: Simplify (- (/ 1 lambda1)) into (- (/ 1 lambda1)) * [misc]backup-simplify: Simplify (+ (/ 1 lambda2) (- (/ 1 lambda1))) into (- (/ 1 lambda2) (/ 1 lambda1)) * [misc]backup-simplify: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) * [misc]backup-simplify: Simplify (sin (- (/ 1 lambda2) (/ 1 lambda1))) into (sin (- (/ 1 lambda2) (/ 1 lambda1))) * [misc]backup-simplify: Simplify (* (cos (/ -1 phi1)) 1) into (cos (/ -1 phi1)) * [misc]backup-simplify: Simplify (* (sin (/ -1 phi1)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1 phi1)) 0) into (cos (/ -1 phi1)) * [misc]backup-simplify: Simplify (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) 1) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) * [misc]backup-simplify: Simplify (* (sin (- (/ 1 lambda2) (/ 1 lambda1))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- (/ 1 lambda2) (/ 1 lambda1))) 0) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) * [misc]backup-simplify: Simplify (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) into (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) * [misc]backup-simplify: Simplify (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) into (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) * [misc]backup-simplify: Simplify (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) into (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 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 (+ (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) 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 (cos (- (/ 1 lambda2) (/ 1 lambda1))))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in 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 lambda2) (/ 1 lambda1))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- (/ 1 lambda2) (/ 1 lambda1))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 phi2)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 (cos (- (/ 1 lambda2) (/ 1 lambda1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))) 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 lambda2) (/ 1 lambda1))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- (/ 1 lambda2) (/ 1 lambda1))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 (cos (- (/ 1 lambda2) (/ 1 lambda1))))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))) into 0 * [misc]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 (+ (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) 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)))) (* (cos (/ -1 (/ 1 (- phi2)))) (cos (- (/ 1 (/ 1 (- lambda2))) (/ 1 (/ 1 (- lambda1))))))) into (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 60 ] simplifiying candidate # * [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 2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))) * * * * [misc]progress: [ 2 / 60 ] simplifiying candidate # * [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 2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))) * * * * [misc]progress: [ 3 / 60 ] simplifiying candidate # * [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 2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))) * * * * [misc]progress: [ 4 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) * * [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 (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi2) (cos phi1)) (cos (- lambda1 lambda2)))))) * [misc]simplify: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* R (* (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 phi2) (sin phi1)) (* (* (cos phi2) (cos phi1)) (cos (- lambda1 lambda2)))))))) * * * * [misc]progress: [ 27 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) * * [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 (+ (* (sin phi2) (sin phi1)) (* (* (cos phi2) (cos phi1)) (cos (- lambda1 lambda2)))))) * [misc]simplify: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* R (sqrt (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))) (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi2) (cos phi1)) (cos (- lambda1 lambda2)))))))) * * * * [misc]progress: [ 28 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) * * [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 phi2) (sin phi1)) (* (* (cos phi2) (cos phi1)) (cos (- lambda1 lambda2))))) * [misc]simplify: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* R 1) (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi2) (cos phi1)) (cos (- lambda1 lambda2))))))) * * * * [misc]progress: [ 29 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * [exit]simplify: Simplified to (* (* (cos phi2) (cos phi1)) (cos (- lambda1 lambda2))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (pow (* (* (cos phi2) (cos phi1)) (cos (- lambda1 lambda2))) 1) (* (sin phi2) (sin phi1)))))) * * * * [misc]progress: [ 31 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * [exit]simplify: Simplified to (* (* (cos phi2) (cos phi1)) (cos (- lambda1 lambda2))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (pow (* (* (cos phi2) (cos phi1)) (cos (- lambda1 lambda2))) 1) (* (sin phi2) (sin phi1)))))) * * * * [misc]progress: [ 32 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (cos (- lambda1 lambda2))) (+ (log (cos phi1)) (log (cos phi2)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * [exit]simplify: Simplified to (+ (log (cos (- lambda1 lambda2))) (+ (log (cos phi1)) (log (cos phi2)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (exp (+ (log (cos (- lambda1 lambda2))) (+ (log (cos phi1)) (log (cos phi2))))) (* (sin phi2) (sin phi1)))))) * * * * [misc]progress: [ 34 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (cos (- lambda1 lambda2))) (log (* (cos phi1) (cos phi2)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * [exit]simplify: Simplified to (+ (log (* (cos phi1) (cos phi2))) (log (cos (- lambda1 lambda2)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (exp (+ (log (* (cos phi1) (cos phi2))) (log (cos (- lambda1 lambda2))))) (* (sin phi2) (sin phi1)))))) * * * * [misc]progress: [ 35 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2))) (cos (- lambda1 lambda2))) (* (* (* (cos phi1) (cos phi1)) (cos phi1)) (* (* (cos phi2) (cos phi2)) (cos phi2)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (306 enodes) * [exit]simplify: Simplified to (* (* (pow (cos phi1) 3) (pow (cos phi2) 3)) (pow (cos (- lambda1 lambda2)) 3)) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (cbrt (* (* (pow (cos phi1) 3) (pow (cos phi2) 3)) (pow (cos (- lambda1 lambda2)) 3))) (* (sin phi2) (sin phi1)))))) * * * * [misc]progress: [ 38 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2))) (cos (- lambda1 lambda2))) (* (* (* (cos phi1) (cos phi2)) (* (cos phi1) (cos phi2))) (* (cos phi1) (cos phi2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (248 enodes) * [exit]simplify: Simplified to (* (pow (* (cos phi2) (cos phi1)) 3) (pow (cos (- lambda1 lambda2)) 3)) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (cbrt (* (pow (* (cos phi2) (cos phi1)) 3) (pow (cos (- lambda1 lambda2)) 3))) (* (sin phi2) (sin phi1)))))) * * * * [misc]progress: [ 39 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (cos phi2) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cos phi2) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (* (cos (- lambda1 lambda2)) (cos phi1)) (cos phi2)) (* (sin phi2) (sin phi1)))))) * * * * [misc]progress: [ 44 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cos (- lambda1 lambda2))) (cbrt (cos (- lambda1 lambda2)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (* (cbrt (cos (- lambda1 lambda2))) (cbrt (cos (- lambda1 lambda2)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (* (cbrt (cos (- lambda1 lambda2))) (cbrt (cos (- lambda1 lambda2)))) (* (cbrt (cos (- lambda1 lambda2))) (* (cos phi1) (cos phi2)))) (* (sin phi2) (sin phi1)))))) * * * * [misc]progress: [ 45 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cos (- lambda1 lambda2))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (sqrt (cos (- lambda1 lambda2))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sqrt (cos (- lambda1 lambda2))) (* (sqrt (cos (- lambda1 lambda2))) (* (cos phi1) (cos phi2)))) (* (sin phi2) (sin phi1)))))) * * * * [misc]progress: [ 46 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 60 ] simplifiying candidate # * [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 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (+ (+ (* lambda1 lambda2) 1) (* (* -1/2 lambda1) lambda1)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))) * * * * [misc]progress: [ 50 / 60 ] simplifiying candidate # * [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 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))) * * * * [misc]progress: [ 51 / 60 ] simplifiying candidate # * [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 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))) * * * * [misc]progress: [ 52 / 60 ] simplifiying candidate # * [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 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))) * * * * [misc]progress: [ 53 / 60 ] simplifiying candidate # * [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 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))) * * * * [misc]progress: [ 54 / 60 ] simplifiying candidate # * [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 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))) * * * * [misc]progress: [ 55 / 60 ] simplifiying candidate # * [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 / 60 ] simplifiying candidate # * [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 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) * [misc]simplify: Simplified (2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))) * * * * [misc]progress: [ 58 / 60 ] simplifiying candidate # * [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 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (+ (+ (* lambda1 lambda2) 1) (* (* -1/2 lambda1) lambda1)) (* (sin phi2) (sin phi1)))))) * * * * [misc]progress: [ 59 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))) * [misc]simplify: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))) (* (sin phi2) (sin phi1)))))) * * * * [misc]progress: [ 60 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))) * [misc]simplify: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))) (* (sin phi2) (sin phi1)))))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 1 1 1 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) in (lambda1 lambda2 phi1 phi2) around 0 * [misc]taylor: Taking taylor expansion of (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) in phi2 * [misc]backup-simplify: Simplify (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) 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 lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) in phi1 * [misc]backup-simplify: Simplify (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) 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 lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) in lambda2 * [misc]backup-simplify: Simplify (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) 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 lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) in lambda1 * [misc]backup-simplify: Simplify (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) 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 lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) in lambda1 * [misc]backup-simplify: Simplify (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) 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]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 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))))) 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 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]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]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 (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 (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))) in (lambda1 lambda2 phi1 phi2) around 0 * [misc]taylor: Taking taylor expansion of (acos (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))) in phi2 * [misc]backup-simplify: Simplify (acos (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (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 (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))) in phi1 * [misc]backup-simplify: Simplify (acos (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (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 (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))) in lambda2 * [misc]backup-simplify: Simplify (acos (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (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 (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))) in lambda1 * [misc]backup-simplify: Simplify (acos (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (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 (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))) in lambda1 * [misc]backup-simplify: Simplify (acos (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (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]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 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 (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]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 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]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]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 (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 (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))) in (lambda1 lambda2 phi1 phi2) around 0 * [misc]taylor: Taking taylor expansion of (acos (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))) in phi2 * [misc]backup-simplify: Simplify (acos (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))) 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 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))) in phi1 * [misc]backup-simplify: Simplify (acos (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))) 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 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))) in lambda2 * [misc]backup-simplify: Simplify (acos (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))) 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 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))) in lambda1 * [misc]backup-simplify: Simplify (acos (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))) 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 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))) in lambda1 * [misc]backup-simplify: Simplify (acos (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))) 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]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 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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]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 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]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]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 (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 (* R (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) in (R lambda1 lambda2 phi1 phi2) around 0 * [misc]taylor: Taking taylor expansion of (* R (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) 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 lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) in phi2 * [misc]backup-simplify: Simplify (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) 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 (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) 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 lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) in phi1 * [misc]backup-simplify: Simplify (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) 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 (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) 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 lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) in lambda2 * [misc]backup-simplify: Simplify (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) 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 (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) 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 lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) in lambda1 * [misc]backup-simplify: Simplify (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) 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 (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) 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 lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) in R * [misc]backup-simplify: Simplify (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) 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 (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) 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 lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) in R * [misc]backup-simplify: Simplify (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) 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]taylor: Taking taylor expansion of 0 in lambda1 * [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 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 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]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]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 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))))) 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 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]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 (+ (* 0 0) (+ (* 1 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 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 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 (* (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (* 1 (* 1 (* 1 (* 1 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]approximate: Taking taylor expansion of (* (/ 1 R) (acos (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in (R lambda1 lambda2 phi1 phi2) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 R) (acos (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in phi2 * [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 (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))) in phi2 * [misc]backup-simplify: Simplify (acos (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (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 (* (/ 1 R) (acos (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in 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 (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))) in phi1 * [misc]backup-simplify: Simplify (acos (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (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 (* (/ 1 R) (acos (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in lambda2 * [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 (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))) in lambda2 * [misc]backup-simplify: Simplify (acos (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (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 (* (/ 1 R) (acos (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in lambda1 * [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 (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))) in lambda1 * [misc]backup-simplify: Simplify (acos (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (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 (* (/ 1 R) (acos (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in R * [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 (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))) in R * [misc]backup-simplify: Simplify (acos (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (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 (* (/ 1 R) (acos (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in R * [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 (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))) in R * [misc]backup-simplify: Simplify (acos (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (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 (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]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 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 (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]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 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (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 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [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 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 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]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 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (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 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [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 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 (* (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 (* 1 (* 1 (/ 1 (/ 1 R))))))) 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 (* (/ 1 (- R)) (acos (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1))))))) in (R lambda1 lambda2 phi1 phi2) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- R)) (acos (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1))))))) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 (- R)) in phi2 * [misc]taylor: Taking taylor expansion of (- R) in phi2 * [misc]taylor: Taking taylor expansion of R in phi2 * [misc]backup-simplify: Simplify R into R * [misc]backup-simplify: Simplify (- R) into (- R) * [misc]backup-simplify: Simplify (- R) into (- R) * [misc]backup-simplify: Simplify (/ 1 (- R)) into (/ -1 R) * [misc]taylor: Taking taylor expansion of (acos (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))) in phi2 * [misc]backup-simplify: Simplify (acos (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))) 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)) (acos (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1))))))) in phi1 * [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 (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))) in phi1 * [misc]backup-simplify: Simplify (acos (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))) 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)) (acos (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1))))))) in 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 (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))) in lambda2 * [misc]backup-simplify: Simplify (acos (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))) 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)) (acos (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1))))))) in 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 (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))) in lambda1 * [misc]backup-simplify: Simplify (acos (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))) 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)) (acos (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1))))))) in R * [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 (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))) in R * [misc]backup-simplify: Simplify (acos (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))) 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)) (acos (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1))))))) in R * [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 (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))) in R * [misc]backup-simplify: Simplify (acos (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))) 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]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))))))))) in lambda1 * [misc]taylor: Taking taylor expansion of -1 in lambda1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 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]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]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))))))))) 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)))))))) in lambda2 * [misc]backup-simplify: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) * [misc]backup-simplify: Simplify (* -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]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))))))))) 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)))))))) 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]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]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))))))))) 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)))))))) 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]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 (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 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]taylor: Taking taylor expansion of 0 in lambda1 * [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 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 (+ (* -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]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 (+ (* -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]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 (+ (* -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]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 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 (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 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]taylor: Taking taylor expansion of 0 in lambda1 * [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 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 (* (* -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 (* 1 (* 1 (/ 1 (/ 1 (- 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]progress: [ 3 / 4 ] generating series at (2 2 1 1) * [misc]approximate: Taking taylor expansion of (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) in (lambda1 lambda2 phi1 phi2) around 0 * [misc]taylor: Taking taylor expansion of (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) in phi2 * [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)) 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))) (* (cos phi1) (cos phi2))) in phi1 * [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)) 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))) (* (cos phi1) (cos phi2))) in lambda2 * [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)) 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))) (* (cos phi1) (cos phi2))) in lambda1 * [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)) 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))) (* (cos phi1) (cos phi2))) in lambda1 * [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)) 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 (* (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 (* (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) 0) into (cos lambda2) * [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 (* (cos lambda2) (* (cos phi1) (cos phi2))) into (* (cos phi1) (* (cos phi2) (cos lambda2))) * [misc]taylor: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (cos 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) (cos 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 (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 (* (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) 1) into (cos phi2) * [misc]backup-simplify: Simplify (* (cos phi1) (cos phi2)) into (* (cos phi1) (cos phi2)) * [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]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]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 1 into 1 * [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 (+ (* (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 (+ 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 (sin lambda2)) into (sin lambda2) * [misc]backup-simplify: Simplify (+ (* (cos lambda2) 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]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 (+ (* (cos phi2) 0) (* 0 1)) 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]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 (+ (* 1 0) (* 0 (cos 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 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 (+ (* (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 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* (- 1/2) (cos lambda2)))) into (- (* 1/2 (cos lambda2))) * [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 (+ (- (* 1/2 (cos lambda2))) 0) into (- (* 1/2 (cos lambda2))) * [misc]backup-simplify: Simplify (+ (* (cos lambda2) 0) (+ (* (sin lambda2) 0) (* (- (* 1/2 (cos lambda2))) (* (cos phi1) (cos phi2))))) into (- (* 1/2 (* (cos phi1) (* (cos phi2) (cos lambda2))))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (* (cos phi1) (* (cos phi2) (cos lambda2))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/2 (* (cos phi1) (* (cos phi2) (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 phi1) (* (cos phi2) (cos 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) (cos 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 (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 (* (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) 1) into (cos phi2) * [misc]backup-simplify: Simplify (* (cos phi1) (cos phi2)) into (* (cos phi1) (cos phi2)) * [misc]backup-simplify: Simplify (* 1/2 (* (cos phi1) (cos phi2))) into (* 1/2 (* (cos phi1) (cos phi2))) * [misc]backup-simplify: Simplify (- (* 1/2 (* (cos phi1) (cos phi2)))) into (- (* 1/2 (* (cos phi1) (cos phi2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (* (cos phi1) (cos phi2)))) in phi1 * [misc]taylor: Taking taylor expansion of (* 1/2 (* (cos phi1) (cos phi2))) 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 (* (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]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 (* 1/2 (cos phi2)) into (* 1/2 (cos phi2)) * [misc]backup-simplify: Simplify (- (* 1/2 (cos phi2))) into (- (* 1/2 (cos phi2))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (cos phi2))) in phi2 * [misc]taylor: Taking taylor expansion of (* 1/2 (cos phi2)) in phi2 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (cos 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 (* 1/2 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 (/ (pow 1 1) 1))) into 1 * [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 (+ (* (cos phi2) 1) (* 0 0)) into (cos phi2) * [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) (cos phi2)) (* 0 0)) into (* (cos phi1) (cos phi2)) * [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]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]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 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (* 1 (* 1 (* lambda2 lambda1)))) (+ (* -1/2 (pow (* 1 (* 1 (* 1 lambda1))) 2)) 1)) into (- (+ 1 (* lambda2 lambda1)) (* 1/2 (pow lambda1 2))) * [misc]approximate: Taking taylor expansion of (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (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 (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) in 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))) 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)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) in phi1 * [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))) 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)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) in lambda2 * [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))) 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)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) in lambda1 * [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))) 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)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) in lambda1 * [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))) 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 (* (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 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 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 lambda2)) (cos (/ 1 lambda1)))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) into (* (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of (* (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (* (cos (/ 1 phi2)) (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 phi2)) (cos (/ 1 phi1))) in lambda2 * [misc]taylor: Taking taylor expansion of (cos (/ 1 phi2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]backup-simplify: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) * [misc]backup-simplify: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 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 (* (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 phi2)) 1) into (cos (/ 1 phi2)) * [misc]backup-simplify: Simplify (* (sin (/ 1 phi2)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1 phi2)) 0) into (cos (/ 1 phi2)) * [misc]backup-simplify: Simplify (* (cos (/ 1 phi1)) 1) into (cos (/ 1 phi1)) * [misc]backup-simplify: Simplify (* (sin (/ 1 phi1)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1 phi1)) 0) into (cos (/ 1 phi1)) * [misc]backup-simplify: Simplify (* (cos (/ 1 phi2)) (cos (/ 1 phi1))) into (* (cos (/ 1 phi2)) (cos (/ 1 phi1))) * [misc]backup-simplify: Simplify (* (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) into (* (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of (* (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) in phi1 * [misc]taylor: Taking taylor expansion of (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) in phi1 * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 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 (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 lambda2)) (cos (/ 1 lambda1))) in phi1 * [misc]taylor: Taking taylor expansion of (cos (/ 1 lambda2)) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in phi1 * [misc]taylor: Taking taylor expansion of lambda2 in phi1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (/ 1 lambda2) into (/ 1 lambda2) * [misc]backup-simplify: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) * [misc]backup-simplify: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 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 phi2)) (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 (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 (* (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 phi2)) 1) into (cos (/ 1 phi2)) * [misc]backup-simplify: Simplify (* (sin (/ 1 phi2)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1 phi2)) 0) into (cos (/ 1 phi2)) * [misc]backup-simplify: Simplify (* (cos (/ 1 phi2)) (cos (/ 1 phi1))) into (* (cos (/ 1 phi2)) (cos (/ 1 phi1))) * [misc]backup-simplify: Simplify (* (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) into (* (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of (* (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (* (cos (/ 1 phi2)) (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 phi2)) (cos (/ 1 phi1))) in phi2 * [misc]taylor: Taking taylor expansion of (cos (/ 1 phi2)) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 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 (* (cos (/ 1 phi2)) (cos (/ 1 phi1))) into (* (cos (/ 1 phi2)) (cos (/ 1 phi1))) * [misc]backup-simplify: Simplify (* (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) into (* (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) into (* (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (* (cos (/ 1 phi2)) (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 (+ (* (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 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 (+ (* (sin (/ 1 lambda1)) 0) (* 0 (sin (/ 1 lambda2)))) 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 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 (+ (* (cos (/ 1 phi2)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 (cos (/ 1 phi1)))) 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 phi2)) (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 (+ (* (cos (/ 1 phi2)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 (cos (/ 1 phi1)))) 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 phi2)) (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 (+ (* (cos (/ 1 phi2)) 0) (* 0 (cos (/ 1 phi1)))) 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 phi2)) (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 (+ (* (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 (+ (* (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 (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda2))))) 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 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))) (sin (/ 1 (/ 1 lambda1)))) (* (cos (/ 1 (/ 1 lambda2))) (cos (/ 1 (/ 1 lambda1))))) (* (cos (/ 1 (/ 1 phi2))) (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 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (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 (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) in 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)))) 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))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) in phi1 * [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)))) 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))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) in lambda2 * [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)))) 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))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) in lambda1 * [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)))) 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))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) in lambda1 * [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)))) 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 (* (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 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)) 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 lambda1)) (cos (/ -1 lambda2)))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))) 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]taylor: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2)))))) in phi1 * [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 (* (cos (/ -1 phi2)) (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -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 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2)))) 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 -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 (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]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 -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 (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 -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 (cos (/ -1 lambda2)) into (cos (/ -1 lambda2)) * [misc]backup-simplify: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) * [misc]backup-simplify: Simplify (* (cos (/ -1 phi2)) 1) into (cos (/ -1 phi2)) * [misc]backup-simplify: Simplify (* (sin (/ -1 phi2)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1 phi2)) 0) into (cos (/ -1 phi2)) * [misc]backup-simplify: Simplify (* (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 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]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 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 (+ (* (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 (+ (* (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 (+ (* (sin (/ -1 lambda1)) 0) (* 0 (sin (/ -1 lambda2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -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 (+ (* (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]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 (+ (* (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 (+ 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 (+ (* (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 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 (+ (* (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]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 (+ (* (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 (+ (* (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 (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -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)))) (* (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: [ 4 / 4 ] generating series at (2 2 1 1 1 2) * [misc]approximate: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in (lambda1 lambda2) around 0 * [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 (* (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 (* (sin lambda1) (sin lambda2)) in lambda1 * [misc]taylor: Taking taylor expansion of (sin lambda1) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sin lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (sin lambda2) into (sin lambda2) * [misc]backup-simplify: Simplify (cos lambda2) into (cos lambda2) * [misc]backup-simplify: Simplify (* (sin lambda2) 1) into (sin lambda2) * [misc]backup-simplify: Simplify (* (cos lambda2) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin lambda2) 0) into (sin lambda2) * [misc]backup-simplify: Simplify (* 0 (sin lambda2)) into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin lambda2) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos lambda2) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (sin lambda2))) into (sin lambda2) * [misc]taylor: Taking taylor expansion of (sin lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin lambda2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 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 lambda2) 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 lambda2) 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 lambda2))))) into (- (* 1/6 (sin lambda2))) * [misc]taylor: Taking taylor expansion of (- (* 1/6 (sin lambda2))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/6 (sin lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of 1/6 in lambda2 * [misc]backup-simplify: Simplify 1/6 into 1/6 * [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 (* 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 lambda2) 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 lambda2) 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 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 (* 1 (* lambda2 lambda1)) into (* lambda2 lambda1) * [misc]approximate: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in (lambda1 lambda2) around 0 * [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 (* (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 (* (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]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]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]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 (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) * [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]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 (- (+ (* (/ 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 (+ (* -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]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 (+ (* -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 lambda2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1))))) 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 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) 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 lambda2)) 0) (+ (* 0 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 0) (* 0 (sin (/ 1 lambda2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (sin (/ 1 (/ 1 lambda2))) (sin (/ 1 (/ 1 lambda1)))) into (* (sin lambda2) (sin lambda1)) * [misc]approximate: Taking taylor expansion of (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) in (lambda1 lambda2) around 0 * [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 (* (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 (* (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]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]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]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 (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 lambda2)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 lambda2) (/ 0 (- lambda2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 lambda2)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (sin (/ -1 lambda2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (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 (+ (* -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]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 (+ (* -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 lambda1) (+ (* (/ -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 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 lambda2)) 0) (+ (* 0 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 lambda2) (/ 0 (- lambda2))) (* 0 (/ 0 (- lambda2))) (* 0 (/ 0 (- lambda2))))) 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 lambda2)) 0) (+ (* 0 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 0) (* 0 (sin (/ -1 lambda2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (sin (/ -1 (/ 1 (- lambda1)))) (sin (/ -1 (/ 1 (- lambda2))))) into (* (sin lambda1) (sin lambda2)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (177 enodes) * * [misc]simplify: iters left: 1 (265 enodes) * [exit]simplify: Simplified to (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))))))) * [misc]simplify: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* R (* (cbrt (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) (cbrt (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))))) (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))))))))) * * * * [misc]progress: [ 17 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (177 enodes) * * [misc]simplify: iters left: 1 (265 enodes) * [exit]simplify: Simplified to (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))))))) * [misc]simplify: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* R (sqrt (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))) (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))))))))) * * * * [misc]progress: [ 18 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (177 enodes) * * [misc]simplify: iters left: 1 (265 enodes) * [exit]simplify: Simplified to (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1)))) * [misc]simplify: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* R 1) (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1)))))) * * * * [misc]progress: [ 19 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (142 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (pow (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) 1) (* (sin phi2) (sin phi1)))))) * * * * [misc]progress: [ 21 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (142 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (pow (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) 1) (* (sin phi2) (sin phi1)))))) * * * * [misc]progress: [ 22 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (+ (log (cos phi1)) (log (cos phi2)))) * * [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 (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (+ (log (cos phi2)) (log (cos phi1)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (exp (+ (log (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (+ (log (cos phi2)) (log (cos phi1))))) (* (sin phi2) (sin phi1)))))) * * * * [misc]progress: [ 24 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (log (* (cos phi1) (cos phi2)))) * * [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 phi1) (cos phi2)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (exp (+ (log (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (log (* (cos phi1) (cos phi2))))) (* (sin phi2) (sin phi1)))))) * * * * [misc]progress: [ 25 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (* (* (cos phi1) (cos phi1)) (cos phi1)) (* (* (cos phi2) (cos phi2)) (cos phi2)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (211 enodes) * [exit]simplify: Simplified to (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (pow (cos phi1) 3) (pow (cos phi2) 3)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (cbrt (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (pow (cos phi1) 3) (pow (cos phi2) 3))))) (* (sin phi2) (sin phi1)))))) * * * * [misc]progress: [ 28 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (* (* (cos phi1) (cos phi2)) (* (cos phi1) (cos phi2))) (* (cos phi1) (cos phi2)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (197 enodes) * [exit]simplify: Simplified to (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (pow (* (cos phi1) (cos phi2)) 3))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (cbrt (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (pow (* (cos phi1) (cos phi2)) 3)))) (* (sin phi2) (sin phi1)))))) * * * * [misc]progress: [ 29 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (+ (cos (+ lambda1 lambda2)) (cos (- lambda1 lambda2))) 2) (* 2 (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))))) (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (85 enodes) * * [misc]simplify: iters left: 3 (305 enodes) * [exit]simplify: Simplified to (* (* 2 (+ (cos (- phi1 phi2)) (cos (+ phi1 phi2)))) (+ (+ (cos (+ lambda2 lambda1)) (cos (- lambda1 lambda2))) (- (cos (- lambda1 lambda2)) (cos (+ lambda2 lambda1))))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (/ (* (* 2 (+ (cos (- phi1 phi2)) (cos (+ phi1 phi2)))) (+ (+ (cos (+ lambda2 lambda1)) (cos (- lambda1 lambda2))) (- (cos (- lambda1 lambda2)) (cos (+ lambda2 lambda1))))) (* (* 2 2) 2)) (* (sin phi2) (sin phi1)))))) * [enter]simplify: Simplifying (* (* 2 2) 2) * * [misc]simplify: iters left: 4 (3 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to 8 * [misc]simplify: Simplified (2 2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (/ (* (* 2 (+ (cos (- phi1 phi2)) (cos (+ phi1 phi2)))) (+ (+ (cos (+ lambda2 lambda1)) (cos (- lambda1 lambda2))) (- (cos (- lambda1 lambda2)) (cos (+ lambda2 lambda1))))) 8) (* (sin phi2) (sin phi1)))))) * * * * [misc]progress: [ 33 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (pow (* (cos lambda1) (cos lambda2)) 3) (pow (* (sin lambda1) (sin lambda2)) 3)) (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (119 enodes) * * [misc]simplify: iters left: 3 (397 enodes) * [exit]simplify: Simplified to (* (+ (pow (* (sin lambda1) (sin lambda2)) 3) (pow (* (cos lambda2) (cos lambda1)) 3)) (+ (cos (- phi1 phi2)) (cos (+ phi1 phi2)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (/ (* (+ (pow (* (sin lambda1) (sin lambda2)) 3) (pow (* (cos lambda2) (cos lambda1)) 3)) (+ (cos (- phi1 phi2)) (cos (+ phi1 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))))) 2)) (* (sin phi2) (sin phi1)))))) * [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))))) 2) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * * [misc]simplify: iters left: 3 (274 enodes) * [exit]simplify: Simplified to (+ (* (* (* (cos lambda2) (cos lambda1)) (* (cos lambda2) (cos lambda1))) 2) (* (- (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (* (* 2 (sin lambda1)) (sin lambda2)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (/ (* (+ (pow (* (cos lambda1) (cos lambda2)) 3) (pow (* (sin lambda1) (sin lambda2)) 3)) (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2)))) (+ (* (* (* (cos lambda2) (cos lambda1)) (* (cos lambda2) (cos lambda1))) 2) (* (- (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (* (* 2 (sin lambda1)) (sin lambda2))))) (* (sin phi2) (sin phi1)))))) * * * * [misc]progress: [ 34 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)))) (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (365 enodes) * [exit]simplify: Simplified to (* (- (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (+ (cos (- phi1 phi2)) (cos (+ phi2 phi1))) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (/ (* (- (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (+ (cos (- phi1 phi2)) (cos (+ phi2 phi1))) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))))) (* (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) 2)) (* (sin phi2) (sin phi1)))))) * [enter]simplify: Simplifying (* (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) 2) * * [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 (81 enodes) * [exit]simplify: Simplified to (* 2 (- (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (/ (* (- (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)))) (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2)))) (* 2 (- (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))))) (* (sin phi2) (sin phi1)))))) * * * * [misc]progress: [ 35 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (cos phi2) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cos phi2) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (cos phi1)) (cos phi2)) (* (sin phi2) (sin phi1)))))) * * * * [misc]progress: [ 37 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (cbrt (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (cbrt (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (* (cbrt (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (cbrt (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))))) (* (cbrt (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (cos phi1) (cos phi2)))) (* (sin phi2) (sin phi1)))))) * * * * [misc]progress: [ 38 / 74 ] simplifiying candidate # * [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 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sqrt (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (* (sqrt (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (cos phi1) (cos phi2)))) (* (sin phi2) (sin phi1)))))) * * * * [misc]progress: [ 39 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (+ (cos (+ lambda1 lambda2)) (cos (- lambda1 lambda2))) 2) (* 2 (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))))) (* (cos phi1) (cos phi2))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (190 enodes) * [exit]simplify: Simplified to (* (+ (+ (cos (+ lambda2 lambda1)) (cos (- lambda1 lambda2))) (- (cos (- lambda1 lambda2)) (cos (+ lambda2 lambda1)))) (* (cos phi2) (* 2 (cos phi1)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (/ (* (+ (+ (cos (+ lambda2 lambda1)) (cos (- lambda1 lambda2))) (- (cos (- lambda1 lambda2)) (cos (+ lambda2 lambda1)))) (* (cos phi2) (* 2 (cos phi1)))) (* 2 2)) (* (sin phi2) (sin phi1)))))) * * * * [misc]progress: [ 42 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (pow (* (cos lambda1) (cos lambda2)) 3) (pow (* (sin lambda1) (sin lambda2)) 3)) (* (cos phi1) (cos phi2))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (251 enodes) * [exit]simplify: Simplified to (+ (* (* (* (cos lambda2) (cos lambda1)) (* (cos lambda2) (cos lambda1))) (* (* (cos phi1) (cos phi2)) (* (cos lambda2) (cos lambda1)))) (* (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (/ (+ (* (* (* (cos lambda2) (cos lambda1)) (* (cos lambda2) (cos lambda1))) (* (* (cos phi1) (cos phi2)) (* (cos lambda2) (cos lambda1)))) (* (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))))) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (- (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (sin phi2) (sin phi1)))))) * * * * [misc]progress: [ 43 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)))) (* (cos phi1) (cos phi2))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (238 enodes) * [exit]simplify: Simplified to (* (* (- (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi1) (cos phi2))) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (/ (* (* (- (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi1) (cos phi2))) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (sin phi2) (sin phi1)))))) * * * * [misc]progress: [ 44 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) * * [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 (- lambda1 lambda2)) (cos (+ lambda2 lambda1))) * [misc]simplify: Simplified (2 2 1 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (/ (- (cos (- lambda1 lambda2)) (cos (+ lambda2 lambda1))) 2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))) * * * * [misc]progress: [ 46 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin lambda1) (sin lambda2)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (* (sin lambda2) (sin lambda1)) * [misc]simplify: Simplified (2 2 1 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (pow (* (sin lambda2) (sin lambda1)) 1)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))) * * * * [misc]progress: [ 47 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (sin lambda1)) (log (sin lambda2))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (+ (log (sin lambda2)) (log (sin lambda1))) * [misc]simplify: Simplified (2 2 1 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (exp (+ (log (sin lambda2)) (log (sin lambda1))))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))) * * * * [misc]progress: [ 49 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (sin lambda1) (sin lambda1)) (sin lambda1)) (* (* (sin lambda2) (sin lambda2)) (sin lambda2))) * * [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 lambda2) (sin lambda1)) 3) * [misc]simplify: Simplified (2 2 1 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda2) (sin lambda1)) 3))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))) * * * * [misc]progress: [ 52 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sin lambda2)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (cbrt (sin lambda2)) * [misc]simplify: Simplified (2 2 1 1 1 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (cbrt (sin lambda2)))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))) * * * * [misc]progress: [ 57 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sin lambda2)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (sin lambda2)) * [misc]simplify: Simplified (2 2 1 1 1 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (* (sin lambda1) (sqrt (sin lambda2))) (sqrt (sin lambda2)))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))) * * * * [misc]progress: [ 58 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (sin lambda2) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sin lambda2) * [misc]simplify: Simplified (2 2 1 1 1 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (* (sin lambda1) 1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))) * * * * [misc]progress: [ 59 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sin lambda1)) (cbrt (sin lambda1))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (* (cbrt (sin lambda1)) (cbrt (sin lambda1))) * [misc]simplify: Simplified (2 2 1 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (* (cbrt (sin lambda1)) (cbrt (sin lambda1))) (* (cbrt (sin lambda1)) (sin lambda2)))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))) * * * * [misc]progress: [ 60 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sin lambda1)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (sin lambda1)) * [misc]simplify: Simplified (2 2 1 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sqrt (sin lambda1)) (* (sqrt (sin lambda1)) (sin lambda2)))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))) * * * * [misc]progress: [ 61 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 74 ] simplifiying candidate # * [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 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))))) * * * * [misc]progress: [ 64 / 74 ] simplifiying candidate # * [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 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))))))) * * * * [misc]progress: [ 65 / 74 ] simplifiying candidate # * [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 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))))) * * * * [misc]progress: [ 66 / 74 ] simplifiying candidate # * [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: [ 67 / 74 ] simplifiying candidate # * [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: [ 68 / 74 ] simplifiying candidate # * [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 / 74 ] simplifiying candidate # * [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 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (+ (+ (* lambda1 lambda2) 1) (* (* -1/2 lambda1) lambda1)) (* (sin phi2) (sin phi1)))))) * * * * [misc]progress: [ 70 / 74 ] simplifiying candidate # * [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 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1)))))) * * * * [misc]progress: [ 71 / 74 ] simplifiying candidate # * [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 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))) * * * * [misc]progress: [ 72 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* lambda2 lambda1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* lambda2 lambda1) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* lambda2 lambda1)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))) * * * * [misc]progress: [ 73 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin lambda2) (sin lambda1)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (* (sin lambda1) (sin lambda2)) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))) * * * * [misc]progress: [ 74 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin lambda1) (sin lambda2)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (* (sin lambda2) (sin lambda1)) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 1 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 1 1) * [misc]approximate: Taking taylor expansion of (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) in (lambda1 lambda2 phi1 phi2) around 0 * [misc]taylor: Taking taylor expansion of (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) in phi2 * [misc]backup-simplify: Simplify (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) 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 lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) in phi1 * [misc]backup-simplify: Simplify (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) 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 lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) in lambda2 * [misc]backup-simplify: Simplify (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) 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 lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) in lambda1 * [misc]backup-simplify: Simplify (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) 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 lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) in lambda1 * [misc]backup-simplify: Simplify (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) 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]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 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))))) 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 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]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]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 (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 (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))) in (lambda1 lambda2 phi1 phi2) around 0 * [misc]taylor: Taking taylor expansion of (acos (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))) in phi2 * [misc]backup-simplify: Simplify (acos (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (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 (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))) in phi1 * [misc]backup-simplify: Simplify (acos (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (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 (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))) in lambda2 * [misc]backup-simplify: Simplify (acos (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (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 (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))) in lambda1 * [misc]backup-simplify: Simplify (acos (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (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 (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))) in lambda1 * [misc]backup-simplify: Simplify (acos (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (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]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 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 (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]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 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]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]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 (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 (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))) in (lambda1 lambda2 phi1 phi2) around 0 * [misc]taylor: Taking taylor expansion of (acos (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))) in phi2 * [misc]backup-simplify: Simplify (acos (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))) 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 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))) in phi1 * [misc]backup-simplify: Simplify (acos (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))) 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 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))) in lambda2 * [misc]backup-simplify: Simplify (acos (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))) 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 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))) in lambda1 * [misc]backup-simplify: Simplify (acos (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))) 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 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))) in lambda1 * [misc]backup-simplify: Simplify (acos (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))) 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]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 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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]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 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]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]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 (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 2) * [misc]approximate: Taking taylor expansion of (log (exp (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))) in (lambda1 lambda2 phi1 phi2) around 0 * [misc]taylor: Taking taylor expansion of (log (exp (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))) in phi2 * [misc]taylor: Taking taylor expansion of (exp (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) in phi2 * [misc]taylor: Taking taylor expansion of (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) in phi2 * [misc]backup-simplify: Simplify (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) 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 (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (exp (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 (log (exp (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 (log (exp (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))) in phi1 * [misc]taylor: Taking taylor expansion of (exp (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) in phi1 * [misc]taylor: Taking taylor expansion of (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) in phi1 * [misc]backup-simplify: Simplify (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) 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 (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (exp (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 (log (exp (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 (log (exp (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) in lambda2 * [misc]taylor: Taking taylor expansion of (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) in lambda2 * [misc]backup-simplify: Simplify (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) 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 (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (exp (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 (log (exp (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 (log (exp (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))) in lambda1 * [misc]taylor: Taking taylor expansion of (exp (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) in lambda1 * [misc]taylor: Taking taylor expansion of (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) in lambda1 * [misc]backup-simplify: Simplify (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) 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 (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (exp (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 (log (exp (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 (log (exp (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))) in lambda1 * [misc]taylor: Taking taylor expansion of (exp (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) in lambda1 * [misc]taylor: Taking taylor expansion of (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) in lambda1 * [misc]backup-simplify: Simplify (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) 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 (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (exp (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 (log (exp (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]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 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))))) 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 (* (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 1)))) 1) into 0 * [misc]taylor: Taking taylor expansion of 0 in 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]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 (* (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 1)))) 2) into 0 * [misc]taylor: Taking taylor expansion of 0 in 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 (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 (log (exp (acos (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))))) in (lambda1 lambda2 phi1 phi2) around 0 * [misc]taylor: Taking taylor expansion of (log (exp (acos (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))))) in phi2 * [misc]taylor: Taking taylor expansion of (exp (acos (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in phi2 * [misc]taylor: Taking taylor expansion of (acos (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))) in phi2 * [misc]backup-simplify: Simplify (acos (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (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 (exp (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 (exp (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 (log (exp (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 (log (exp (acos (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))))) in phi1 * [misc]taylor: Taking taylor expansion of (exp (acos (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in phi1 * [misc]taylor: Taking taylor expansion of (acos (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))) in phi1 * [misc]backup-simplify: Simplify (acos (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (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 (exp (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 (exp (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 (log (exp (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 (log (exp (acos (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))))) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (acos (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in lambda2 * [misc]taylor: Taking taylor expansion of (acos (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))) in lambda2 * [misc]backup-simplify: Simplify (acos (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (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 (exp (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 (exp (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 (log (exp (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 (log (exp (acos (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))))) in lambda1 * [misc]taylor: Taking taylor expansion of (exp (acos (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in lambda1 * [misc]taylor: Taking taylor expansion of (acos (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))) in lambda1 * [misc]backup-simplify: Simplify (acos (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (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 (exp (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 (exp (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 (log (exp (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 (log (exp (acos (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))))) in lambda1 * [misc]taylor: Taking taylor expansion of (exp (acos (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in lambda1 * [misc]taylor: Taking taylor expansion of (acos (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))) in lambda1 * [misc]backup-simplify: Simplify (acos (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (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 (exp (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 (exp (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 (log (exp (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]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 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 (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]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 (* (exp (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))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (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)))) 1) 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]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 (* (exp (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))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (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))))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (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)))) 2) 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 (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 (log (exp (acos (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))))) in (lambda1 lambda2 phi1 phi2) around 0 * [misc]taylor: Taking taylor expansion of (log (exp (acos (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))))) in phi2 * [misc]taylor: Taking taylor expansion of (exp (acos (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1))))))) in phi2 * [misc]taylor: Taking taylor expansion of (acos (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))) in phi2 * [misc]backup-simplify: Simplify (acos (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))) 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 (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) into (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) * [misc]backup-simplify: Simplify (log (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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 (log (exp (acos (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))))) in phi1 * [misc]taylor: Taking taylor expansion of (exp (acos (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1))))))) in phi1 * [misc]taylor: Taking taylor expansion of (acos (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))) in phi1 * [misc]backup-simplify: Simplify (acos (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))) 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 (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) into (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) * [misc]backup-simplify: Simplify (log (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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 (log (exp (acos (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))))) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (acos (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1))))))) in lambda2 * [misc]taylor: Taking taylor expansion of (acos (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))) in lambda2 * [misc]backup-simplify: Simplify (acos (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))) 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 (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) into (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) * [misc]backup-simplify: Simplify (log (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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 (log (exp (acos (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))))) in lambda1 * [misc]taylor: Taking taylor expansion of (exp (acos (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1))))))) in lambda1 * [misc]taylor: Taking taylor expansion of (acos (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))) in lambda1 * [misc]backup-simplify: Simplify (acos (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))) 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 (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) into (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) * [misc]backup-simplify: Simplify (log (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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 (log (exp (acos (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))))) in lambda1 * [misc]taylor: Taking taylor expansion of (exp (acos (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1))))))) in lambda1 * [misc]taylor: Taking taylor expansion of (acos (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))) in lambda1 * [misc]backup-simplify: Simplify (acos (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))) 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 (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) into (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) * [misc]backup-simplify: Simplify (log (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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]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 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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]backup-simplify: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) * [misc]backup-simplify: Simplify (* (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) 1)))) 1) into 0 * [misc]taylor: Taking taylor expansion of 0 in 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]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 (* (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) 1)))) 2) into 0 * [misc]taylor: Taking taylor expansion of 0 in 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 (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 2 1) * [misc]approximate: Taking taylor expansion of (exp (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) in (lambda1 lambda2 phi1 phi2) around 0 * [misc]taylor: Taking taylor expansion of (exp (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) in phi2 * [misc]taylor: Taking taylor expansion of (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) in phi2 * [misc]backup-simplify: Simplify (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) 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 (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (exp (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 (exp (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) in phi1 * [misc]taylor: Taking taylor expansion of (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) in phi1 * [misc]backup-simplify: Simplify (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) 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 (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (exp (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 (exp (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) in lambda2 * [misc]taylor: Taking taylor expansion of (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) in lambda2 * [misc]backup-simplify: Simplify (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) 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 (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (exp (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 (exp (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) in lambda1 * [misc]taylor: Taking taylor expansion of (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) in lambda1 * [misc]backup-simplify: Simplify (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) 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 (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (exp (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 (exp (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) in lambda1 * [misc]taylor: Taking taylor expansion of (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) in lambda1 * [misc]backup-simplify: Simplify (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) 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 (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (exp (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 (exp (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 (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 (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (exp (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 (exp (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 (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 (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (exp (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 (exp (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 (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 (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (exp (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 (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (exp (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 (* (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (* (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in 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 (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (exp (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 (exp (acos (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in (lambda1 lambda2 phi1 phi2) around 0 * [misc]taylor: Taking taylor expansion of (exp (acos (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in phi2 * [misc]taylor: Taking taylor expansion of (acos (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))) in phi2 * [misc]backup-simplify: Simplify (acos (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (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 (exp (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 (exp (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 (exp (acos (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in phi1 * [misc]taylor: Taking taylor expansion of (acos (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))) in phi1 * [misc]backup-simplify: Simplify (acos (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (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 (exp (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 (exp (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 (exp (acos (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in lambda2 * [misc]taylor: Taking taylor expansion of (acos (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))) in lambda2 * [misc]backup-simplify: Simplify (acos (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (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 (exp (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 (exp (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 (exp (acos (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in lambda1 * [misc]taylor: Taking taylor expansion of (acos (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))) in lambda1 * [misc]backup-simplify: Simplify (acos (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (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 (exp (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 (exp (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 (exp (acos (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in lambda1 * [misc]taylor: Taking taylor expansion of (acos (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))) in lambda1 * [misc]backup-simplify: Simplify (acos (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (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 (exp (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 (exp (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 (exp (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]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 (exp (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 (exp (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 (exp (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 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 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 (exp (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 (exp (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 (exp (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]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]backup-simplify: Simplify (exp (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 (exp (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 (exp (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 (exp (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 (* (exp (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))))))) (+ (* (/ (pow 0 1) 1)))) 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 (* (exp (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))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (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))))))) (+ (* (/ (pow 0 1) 1)))) 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 (* (exp (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))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (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))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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 (exp (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 (exp (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 (exp (acos (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1))))))) in (lambda1 lambda2 phi1 phi2) around 0 * [misc]taylor: Taking taylor expansion of (exp (acos (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1))))))) in phi2 * [misc]taylor: Taking taylor expansion of (acos (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))) in phi2 * [misc]backup-simplify: Simplify (acos (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))) 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 (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) into (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) * [misc]taylor: Taking taylor expansion of (exp (acos (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1))))))) in phi1 * [misc]taylor: Taking taylor expansion of (acos (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))) in phi1 * [misc]backup-simplify: Simplify (acos (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))) 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 (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) into (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) * [misc]taylor: Taking taylor expansion of (exp (acos (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1))))))) in lambda2 * [misc]taylor: Taking taylor expansion of (acos (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))) in lambda2 * [misc]backup-simplify: Simplify (acos (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))) 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 (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) into (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) * [misc]taylor: Taking taylor expansion of (exp (acos (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1))))))) in lambda1 * [misc]taylor: Taking taylor expansion of (acos (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))) in lambda1 * [misc]backup-simplify: Simplify (acos (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))) 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 (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) into (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) * [misc]taylor: Taking taylor expansion of (exp (acos (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1))))))) in lambda1 * [misc]taylor: Taking taylor expansion of (acos (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))) in lambda1 * [misc]backup-simplify: Simplify (acos (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))) 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 (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) into (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) * [misc]taylor: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) in lambda2 * [misc]taylor: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in lambda2 * [misc]backup-simplify: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) * [misc]backup-simplify: Simplify (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) into (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) * [misc]taylor: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) in phi1 * [misc]taylor: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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]backup-simplify: Simplify (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) into (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) * [misc]taylor: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) in phi2 * [misc]taylor: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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]backup-simplify: Simplify (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) into (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) * [misc]backup-simplify: Simplify (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) into (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) * [misc]backup-simplify: Simplify (* (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (* (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in 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 (exp (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 (exp (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) * [misc]approximate: Taking taylor expansion of (* R (log (exp (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))))) in (R lambda1 lambda2 phi1 phi2) around 0 * [misc]taylor: Taking taylor expansion of (* R (log (exp (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))))) in phi2 * [misc]taylor: Taking taylor expansion of R in phi2 * [misc]backup-simplify: Simplify R into R * [misc]taylor: Taking taylor expansion of (log (exp (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))) in phi2 * [misc]taylor: Taking taylor expansion of (exp (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) in phi2 * [misc]taylor: Taking taylor expansion of (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) in phi2 * [misc]backup-simplify: Simplify (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) 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 (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (exp (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 (log (exp (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 (* R (log (exp (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))))) in phi1 * [misc]taylor: Taking taylor expansion of R in phi1 * [misc]backup-simplify: Simplify R into R * [misc]taylor: Taking taylor expansion of (log (exp (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))) in phi1 * [misc]taylor: Taking taylor expansion of (exp (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) in phi1 * [misc]taylor: Taking taylor expansion of (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) in phi1 * [misc]backup-simplify: Simplify (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) 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 (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (exp (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 (log (exp (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 (* R (log (exp (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))))) in lambda2 * [misc]taylor: Taking taylor expansion of R in lambda2 * [misc]backup-simplify: Simplify R into R * [misc]taylor: Taking taylor expansion of (log (exp (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) in lambda2 * [misc]taylor: Taking taylor expansion of (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) in lambda2 * [misc]backup-simplify: Simplify (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) 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 (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (exp (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 (log (exp (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 (* R (log (exp (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))))) in lambda1 * [misc]taylor: Taking taylor expansion of R in lambda1 * [misc]backup-simplify: Simplify R into R * [misc]taylor: Taking taylor expansion of (log (exp (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))) in lambda1 * [misc]taylor: Taking taylor expansion of (exp (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) in lambda1 * [misc]taylor: Taking taylor expansion of (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) in lambda1 * [misc]backup-simplify: Simplify (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) 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 (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (exp (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 (log (exp (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 (* R (log (exp (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))))) 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 (log (exp (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))) in R * [misc]taylor: Taking taylor expansion of (exp (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) in R * [misc]taylor: Taking taylor expansion of (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) in R * [misc]backup-simplify: Simplify (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) 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 (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (exp (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 (log (exp (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 (* R (log (exp (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))))) 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 (log (exp (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))) in R * [misc]taylor: Taking taylor expansion of (exp (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) in R * [misc]taylor: Taking taylor expansion of (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) in R * [misc]backup-simplify: Simplify (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) 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 (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (exp (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 (log (exp (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]taylor: Taking taylor expansion of 0 in lambda1 * [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 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 (* (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 1)))) 1) into 0 * [misc]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]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]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 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))))) 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 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]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 (* (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 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 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 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 (* (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (* 1 (* 1 (* 1 (* 1 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]approximate: Taking taylor expansion of (* (/ 1 R) (log (exp (acos (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))))) in (R lambda1 lambda2 phi1 phi2) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 R) (log (exp (acos (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))))) in phi2 * [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 (log (exp (acos (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))))) in phi2 * [misc]taylor: Taking taylor expansion of (exp (acos (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in phi2 * [misc]taylor: Taking taylor expansion of (acos (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))) in phi2 * [misc]backup-simplify: Simplify (acos (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (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 (exp (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 (exp (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 (log (exp (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 (* (/ 1 R) (log (exp (acos (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))))) in 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 (log (exp (acos (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))))) in phi1 * [misc]taylor: Taking taylor expansion of (exp (acos (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in phi1 * [misc]taylor: Taking taylor expansion of (acos (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))) in phi1 * [misc]backup-simplify: Simplify (acos (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (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 (exp (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 (exp (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 (log (exp (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 (* (/ 1 R) (log (exp (acos (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))))) in lambda2 * [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 (log (exp (acos (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))))) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (acos (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in lambda2 * [misc]taylor: Taking taylor expansion of (acos (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))) in lambda2 * [misc]backup-simplify: Simplify (acos (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (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 (exp (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 (exp (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 (log (exp (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 (* (/ 1 R) (log (exp (acos (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))))) in lambda1 * [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 (log (exp (acos (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))))) in lambda1 * [misc]taylor: Taking taylor expansion of (exp (acos (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in lambda1 * [misc]taylor: Taking taylor expansion of (acos (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))) in lambda1 * [misc]backup-simplify: Simplify (acos (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (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 (exp (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 (exp (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 (log (exp (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 (* (/ 1 R) (log (exp (acos (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))))) in R * [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 (log (exp (acos (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))))) in R * [misc]taylor: Taking taylor expansion of (exp (acos (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in R * [misc]taylor: Taking taylor expansion of (acos (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))) in R * [misc]backup-simplify: Simplify (acos (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (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 (exp (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 (exp (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 (log (exp (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 (* (/ 1 R) (log (exp (acos (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))))) in R * [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 (log (exp (acos (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))))) in R * [misc]taylor: Taking taylor expansion of (exp (acos (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in R * [misc]taylor: Taking taylor expansion of (acos (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))) in R * [misc]backup-simplify: Simplify (acos (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (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 (exp (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 (exp (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 (log (exp (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 (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]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 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 (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]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 (* (exp (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))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (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)))) 1) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (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 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [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 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 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]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 (* (exp (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))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (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))))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (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)))) 2) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (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 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [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 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 (* (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 (* 1 (* 1 (/ 1 (/ 1 R))))))) 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 (* (/ 1 (- R)) (log (exp (acos (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1))))))))) in (R lambda1 lambda2 phi1 phi2) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- R)) (log (exp (acos (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1))))))))) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 (- R)) in phi2 * [misc]taylor: Taking taylor expansion of (- R) in phi2 * [misc]taylor: Taking taylor expansion of R in phi2 * [misc]backup-simplify: Simplify R into R * [misc]backup-simplify: Simplify (- R) into (- R) * [misc]backup-simplify: Simplify (- R) into (- R) * [misc]backup-simplify: Simplify (/ 1 (- R)) into (/ -1 R) * [misc]taylor: Taking taylor expansion of (log (exp (acos (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))))) in phi2 * [misc]taylor: Taking taylor expansion of (exp (acos (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1))))))) in phi2 * [misc]taylor: Taking taylor expansion of (acos (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))) in phi2 * [misc]backup-simplify: Simplify (acos (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))) 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 (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) into (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) * [misc]backup-simplify: Simplify (log (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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 (* (/ 1 (- R)) (log (exp (acos (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1))))))))) in phi1 * [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 (log (exp (acos (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))))) in phi1 * [misc]taylor: Taking taylor expansion of (exp (acos (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1))))))) in phi1 * [misc]taylor: Taking taylor expansion of (acos (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))) in phi1 * [misc]backup-simplify: Simplify (acos (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))) 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 (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) into (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) * [misc]backup-simplify: Simplify (log (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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 (* (/ 1 (- R)) (log (exp (acos (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1))))))))) in 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 (log (exp (acos (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))))) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (acos (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1))))))) in lambda2 * [misc]taylor: Taking taylor expansion of (acos (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))) in lambda2 * [misc]backup-simplify: Simplify (acos (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))) 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 (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) into (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) * [misc]backup-simplify: Simplify (log (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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 (* (/ 1 (- R)) (log (exp (acos (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1))))))))) in 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 (log (exp (acos (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))))) in lambda1 * [misc]taylor: Taking taylor expansion of (exp (acos (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1))))))) in lambda1 * [misc]taylor: Taking taylor expansion of (acos (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))) in lambda1 * [misc]backup-simplify: Simplify (acos (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))) 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 (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) into (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) * [misc]backup-simplify: Simplify (log (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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 (* (/ 1 (- R)) (log (exp (acos (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1))))))))) in R * [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 (log (exp (acos (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))))) in R * [misc]taylor: Taking taylor expansion of (exp (acos (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1))))))) in R * [misc]taylor: Taking taylor expansion of (acos (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))) in R * [misc]backup-simplify: Simplify (acos (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))) 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 (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) into (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) * [misc]backup-simplify: Simplify (log (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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 (* (/ 1 (- R)) (log (exp (acos (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1))))))))) in R * [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 (log (exp (acos (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))))) in R * [misc]taylor: Taking taylor expansion of (exp (acos (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1))))))) in R * [misc]taylor: Taking taylor expansion of (acos (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))) in R * [misc]backup-simplify: Simplify (acos (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))) 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 (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) into (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) * [misc]backup-simplify: Simplify (log (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) * [misc]backup-simplify: Simplify (* -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]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))))))))) in lambda1 * [misc]taylor: Taking taylor expansion of -1 in lambda1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 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]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]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))))))))) 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)))))))) in lambda2 * [misc]backup-simplify: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) * [misc]backup-simplify: Simplify (* -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]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))))))))) 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)))))))) 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]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]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))))))))) 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)))))))) 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]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 (* (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 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]taylor: Taking taylor expansion of 0 in lambda1 * [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 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 (+ (* -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]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 (+ (* -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]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 (+ (* -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]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 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 (* (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) 1)))) 2) into 0 * [misc]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 (/ 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]taylor: Taking taylor expansion of 0 in lambda1 * [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 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 (* (* -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 (* 1 (* 1 (/ 1 (/ 1 (- 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]progress: simplifying candidates * * * * [misc]progress: [ 1 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cbrt (exp (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))) (cbrt (exp (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (182 enodes) * * [misc]simplify: iters left: 1 (246 enodes) * [exit]simplify: Simplified to (log (* (cbrt (exp (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1)))))) (cbrt (exp (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1)))))))) * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (+ (log (* (cbrt (exp (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1)))))) (cbrt (exp (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1)))))))) (log (cbrt (exp (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))))))) * * * * [misc]progress: [ 10 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (exp (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (179 enodes) * * [misc]simplify: iters left: 1 (243 enodes) * [exit]simplify: Simplified to (log (sqrt (exp (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1))))))) * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (+ (log (sqrt (exp (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1))))))) (log (sqrt (exp (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))))))) * * * * [misc]progress: [ 11 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (log 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (+ 0 (log (exp (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))))))) * * * * [misc]progress: [ 12 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (log (exp (/ PI 2))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ PI 2) * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (- (/ PI 2) (log (exp (asin (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))))))) * * * * [misc]progress: [ 13 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (177 enodes) * * [misc]simplify: iters left: 1 (265 enodes) * [exit]simplify: Simplified to (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))))))) * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))))))) (log (exp (* (cbrt (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) (cbrt (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))))))))) * * * * [misc]progress: [ 15 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (177 enodes) * * [misc]simplify: iters left: 1 (265 enodes) * [exit]simplify: Simplified to (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))))))) * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))))))) (log (exp (sqrt (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))))))) * * * * [misc]progress: [ 16 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (177 enodes) * * [misc]simplify: iters left: 1 (265 enodes) * [exit]simplify: Simplified to (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1)))) * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1)))) (log (exp 1))))) * * * * [misc]progress: [ 17 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (174 enodes) * * [misc]simplify: iters left: 1 (241 enodes) * [exit]simplify: Simplified to (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1))) * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1)))))) * * * * [misc]progress: [ 19 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (cbrt (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) (cbrt (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (181 enodes) * * [misc]simplify: iters left: 1 (249 enodes) * [exit]simplify: Simplified to (exp (* (cbrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1))))) (cbrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1))))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (log (pow (exp (* (cbrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1))))) (cbrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1))))))) (cbrt (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))))))) * * * * [misc]progress: [ 27 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (179 enodes) * * [misc]simplify: iters left: 1 (267 enodes) * [exit]simplify: Simplified to (exp (sqrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1)))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (log (pow (exp (sqrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1)))))) (sqrt (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))))))) * * * * [misc]progress: [ 28 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (exp 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to E * [misc]simplify: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (log (pow E (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))))) * * * * [misc]progress: [ 29 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ PI 2)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (sqrt (exp PI)) * [misc]simplify: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (log (/ (sqrt (exp PI)) (exp (asin (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))))))) * * * * [misc]progress: [ 30 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (177 enodes) * * [misc]simplify: iters left: 1 (265 enodes) * [exit]simplify: Simplified to (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (log (exp (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1)))))))) * * * * [misc]progress: [ 31 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (* R (log (cbrt (exp (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (182 enodes) * * [misc]simplify: iters left: 1 (252 enodes) * [exit]simplify: Simplified to (* (log (cbrt (exp (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))))))))) R) * [misc]simplify: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (+ (* R (log (* (cbrt (exp (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))) (cbrt (exp (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))))))) (* (log (cbrt (exp (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))))))))) R))) * * * * [misc]progress: [ 45 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (* R (log (sqrt (exp (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (182 enodes) * * [misc]simplify: iters left: 1 (252 enodes) * [exit]simplify: Simplified to (* (log (sqrt (exp (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))))))))) R) * [misc]simplify: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (+ (* R (log (sqrt (exp (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))))) (* (log (sqrt (exp (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))))))))) R))) * * * * [misc]progress: [ 46 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (* R (log (exp (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (181 enodes) * * [misc]simplify: iters left: 1 (249 enodes) * [exit]simplify: Simplified to (* R (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))))))) * [misc]simplify: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (+ (* R (log 1)) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))))))))) * * * * [misc]progress: [ 47 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (cbrt (exp (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))))) R) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (182 enodes) * * [misc]simplify: iters left: 1 (246 enodes) * [exit]simplify: Simplified to (* R (log (cbrt (exp (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1)))))))) * [misc]simplify: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (+ (* (log (* (cbrt (exp (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))) (cbrt (exp (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))))) R) (* R (log (cbrt (exp (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1)))))))))) * * * * [misc]progress: [ 48 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (sqrt (exp (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))))) R) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (182 enodes) * * [misc]simplify: iters left: 1 (246 enodes) * [exit]simplify: Simplified to (* R (log (sqrt (exp (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1)))))))) * [misc]simplify: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (+ (* (log (sqrt (exp (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))))) R) (* R (log (sqrt (exp (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1)))))))))) * * * * [misc]progress: [ 49 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (exp (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))) R) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (181 enodes) * * [misc]simplify: iters left: 1 (249 enodes) * [exit]simplify: Simplified to (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1)))) R) * [misc]simplify: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (+ (* (log 1) R) (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1)))) R))) * * * * [misc]progress: [ 50 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (log (exp (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (179 enodes) * * [misc]simplify: iters left: 1 (267 enodes) * [exit]simplify: Simplified to (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1)))) * [misc]simplify: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* R 1) (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1)))))) * * * * [misc]progress: [ 51 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (log (exp (* (cbrt (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) (cbrt (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (186 enodes) * * [misc]simplify: iters left: 1 (250 enodes) * [exit]simplify: Simplified to (* (cbrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1))))) (cbrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1)))))) * [misc]simplify: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* R (cbrt (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))) (* (cbrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1))))) (cbrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1)))))))) * * * * [misc]progress: [ 52 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (log (exp (sqrt (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (179 enodes) * * [misc]simplify: iters left: 1 (243 enodes) * [exit]simplify: Simplified to (sqrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1))))) * [misc]simplify: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* R (sqrt (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))) (sqrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1))))))) * * * * [misc]progress: [ 53 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (log (exp 1)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* R (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) 1)) * * * * [misc]progress: [ 54 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (log (exp (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (179 enodes) * * [misc]simplify: iters left: 1 (243 enodes) * [exit]simplify: Simplified to (cbrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1))))) * [misc]simplify: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* R (* (cbrt (log (exp (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))))) (cbrt (log (exp (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))))))) (cbrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1))))))) * * * * [misc]progress: [ 55 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log (exp (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (179 enodes) * * [misc]simplify: iters left: 1 (243 enodes) * [exit]simplify: Simplified to (sqrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1))))) * [misc]simplify: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* R (sqrt (log (exp (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))))) (sqrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1))))))) * * * * [misc]progress: [ 56 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (log (exp (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (179 enodes) * * [misc]simplify: iters left: 1 (267 enodes) * [exit]simplify: Simplified to (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1)))) * [misc]simplify: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* R 1) (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1)))))) * * * * [misc]progress: [ 57 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 69 ] simplifiying candidate # * [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 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))))))) * * * * [misc]progress: [ 59 / 69 ] simplifiying candidate # * [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 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))))))))) * * * * [misc]progress: [ 60 / 69 ] simplifiying candidate # * [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 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))))))) * * * * [misc]progress: [ 61 / 69 ] simplifiying candidate # * [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 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))))) * * * * [misc]progress: [ 62 / 69 ] simplifiying candidate # * [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 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))))))) * * * * [misc]progress: [ 63 / 69 ] simplifiying candidate # * [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 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))))) * * * * [misc]progress: [ 64 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (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 (23 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (154 enodes) * * [misc]simplify: iters left: 2 (186 enodes) * [exit]simplify: Simplified to (exp (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi1) (sin phi2))))) * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (log (exp (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi1) (sin phi2)))))))) * * * * [misc]progress: [ 65 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (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 (23 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (154 enodes) * * [misc]simplify: iters left: 2 (186 enodes) * [exit]simplify: Simplified to (exp (acos (+ (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi1) (sin phi2))))) * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (log (exp (acos (+ (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi1) (sin phi2)))))))) * * * * [misc]progress: [ 66 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (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 (23 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (154 enodes) * * [misc]simplify: iters left: 2 (186 enodes) * [exit]simplify: Simplified to (exp (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi1) (sin phi2))))) * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (log (exp (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi1) (sin phi2)))))))) * * * * [misc]progress: [ 67 / 69 ] simplifiying candidate # * [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: [ 68 / 69 ] simplifiying candidate # * [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: [ 69 / 69 ] simplifiying candidate # * [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: iteration 4 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 2 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (- (/ PI 2) (asin (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) in (lambda1 lambda2 phi1 phi2) around 0 * [misc]taylor: Taking taylor expansion of (- (/ PI 2) (asin (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) in phi2 * [misc]taylor: Taking taylor expansion of (/ PI 2) in phi2 * [misc]taylor: Taking taylor expansion of PI in phi2 * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in phi2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (asin (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) in phi2 * [misc]backup-simplify: Simplify (asin (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) * [misc]taylor: Taking taylor expansion of (- (/ PI 2) (asin (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) in phi1 * [misc]taylor: Taking taylor expansion of (/ PI 2) in phi1 * [misc]taylor: Taking taylor expansion of PI in phi1 * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (asin (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) in phi1 * [misc]backup-simplify: Simplify (asin (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) * [misc]taylor: Taking taylor expansion of (- (/ PI 2) (asin (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) in lambda2 * [misc]taylor: Taking taylor expansion of (/ PI 2) in lambda2 * [misc]taylor: Taking taylor expansion of PI in lambda2 * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (asin (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) in lambda2 * [misc]backup-simplify: Simplify (asin (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) * [misc]taylor: Taking taylor expansion of (- (/ PI 2) (asin (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) in lambda1 * [misc]taylor: Taking taylor expansion of (/ PI 2) in lambda1 * [misc]taylor: Taking taylor expansion of PI in lambda1 * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (asin (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) in lambda1 * [misc]backup-simplify: Simplify (asin (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) * [misc]taylor: Taking taylor expansion of (- (/ PI 2) (asin (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) in lambda1 * [misc]taylor: Taking taylor expansion of (/ PI 2) in lambda1 * [misc]taylor: Taking taylor expansion of PI in lambda1 * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (asin (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) in lambda1 * [misc]backup-simplify: Simplify (asin (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) * [misc]backup-simplify: Simplify (- (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (- (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) * [misc]backup-simplify: Simplify (+ (* 1/2 PI) (- (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/2 PI) in lambda2 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of PI in lambda2 * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2 * [misc]backup-simplify: Simplify (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) * [misc]backup-simplify: Simplify (* 1/2 PI) into (* 1/2 PI) * [misc]backup-simplify: Simplify (- (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (- (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) * [misc]backup-simplify: Simplify (+ (* 1/2 PI) (- (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi1 * [misc]taylor: Taking taylor expansion of (* 1/2 PI) in phi1 * [misc]taylor: Taking taylor expansion of 1/2 in phi1 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of PI in phi1 * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1 * [misc]backup-simplify: Simplify (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) * [misc]backup-simplify: Simplify (* 1/2 PI) into (* 1/2 PI) * [misc]backup-simplify: Simplify (- (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (- (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) * [misc]backup-simplify: Simplify (+ (* 1/2 PI) (- (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi2 * [misc]taylor: Taking taylor expansion of (* 1/2 PI) in phi2 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of PI in phi2 * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2 * [misc]backup-simplify: Simplify (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) * [misc]backup-simplify: Simplify (* 1/2 PI) into (* 1/2 PI) * [misc]backup-simplify: Simplify (- (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (- (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) * [misc]backup-simplify: Simplify (+ (* 1/2 PI) (- (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) * [misc]backup-simplify: Simplify (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in 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 (+ (* 1/2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in 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 (+ (* 1/2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in 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 (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) * [misc]approximate: Taking taylor expansion of (- (/ PI 2) (asin (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in (lambda1 lambda2 phi1 phi2) around 0 * [misc]taylor: Taking taylor expansion of (- (/ PI 2) (asin (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in phi2 * [misc]taylor: Taking taylor expansion of (/ PI 2) in phi2 * [misc]taylor: Taking taylor expansion of PI in phi2 * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in phi2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (asin (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))) in phi2 * [misc]backup-simplify: Simplify (asin (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))) into (asin (+ (* (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 (- (/ PI 2) (asin (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in phi1 * [misc]taylor: Taking taylor expansion of (/ PI 2) in phi1 * [misc]taylor: Taking taylor expansion of PI in phi1 * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (asin (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))) in phi1 * [misc]backup-simplify: Simplify (asin (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))) into (asin (+ (* (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 (- (/ PI 2) (asin (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in lambda2 * [misc]taylor: Taking taylor expansion of (/ PI 2) in lambda2 * [misc]taylor: Taking taylor expansion of PI in lambda2 * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (asin (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))) in lambda2 * [misc]backup-simplify: Simplify (asin (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))) into (asin (+ (* (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 (- (/ PI 2) (asin (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in lambda1 * [misc]taylor: Taking taylor expansion of (/ PI 2) in lambda1 * [misc]taylor: Taking taylor expansion of PI in lambda1 * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (asin (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))) in lambda1 * [misc]backup-simplify: Simplify (asin (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))) into (asin (+ (* (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 (- (/ PI 2) (asin (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in lambda1 * [misc]taylor: Taking taylor expansion of (/ PI 2) in lambda1 * [misc]taylor: Taking taylor expansion of PI in lambda1 * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (asin (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))) in lambda1 * [misc]backup-simplify: Simplify (asin (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))) into (asin (+ (* (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 (- (asin (+ (* (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 (- (asin (+ (* (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 (+ (* 1/2 PI) (- (asin (+ (* (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 (- (* 1/2 PI) (asin (+ (* (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 (- (* 1/2 PI) (asin (+ (* (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]taylor: Taking taylor expansion of (* 1/2 PI) in lambda2 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of PI in lambda2 * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (asin (+ (* (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 (asin (+ (* (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 (asin (+ (* (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 (* 1/2 PI) into (* 1/2 PI) * [misc]backup-simplify: Simplify (- (asin (+ (* (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 (- (asin (+ (* (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 (+ (* 1/2 PI) (- (asin (+ (* (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 (- (* 1/2 PI) (asin (+ (* (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 (- (* 1/2 PI) (asin (+ (* (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 phi1 * [misc]taylor: Taking taylor expansion of (* 1/2 PI) in phi1 * [misc]taylor: Taking taylor expansion of 1/2 in phi1 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of PI in phi1 * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (asin (+ (* (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 phi1 * [misc]backup-simplify: Simplify (asin (+ (* (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 (asin (+ (* (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 (* 1/2 PI) into (* 1/2 PI) * [misc]backup-simplify: Simplify (- (asin (+ (* (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 (- (asin (+ (* (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 (+ (* 1/2 PI) (- (asin (+ (* (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 (- (* 1/2 PI) (asin (+ (* (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 (- (* 1/2 PI) (asin (+ (* (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]taylor: Taking taylor expansion of (* 1/2 PI) in phi2 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of PI in phi2 * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (asin (+ (* (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 (asin (+ (* (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 (asin (+ (* (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 (* 1/2 PI) into (* 1/2 PI) * [misc]backup-simplify: Simplify (- (asin (+ (* (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 (- (asin (+ (* (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 (+ (* 1/2 PI) (- (asin (+ (* (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 (- (* 1/2 PI) (asin (+ (* (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 (- (* 1/2 PI) (asin (+ (* (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 (- (* 1/2 PI) (asin (+ (* (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 (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in 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 (+ (* 1/2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in 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 (+ (* 1/2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in 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 (- (* 1/2 PI) (asin (+ (* (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 (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))) * [misc]approximate: Taking taylor expansion of (- (/ PI 2) (asin (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1))))))) in (lambda1 lambda2 phi1 phi2) around 0 * [misc]taylor: Taking taylor expansion of (- (/ PI 2) (asin (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1))))))) in phi2 * [misc]taylor: Taking taylor expansion of (/ PI 2) in phi2 * [misc]taylor: Taking taylor expansion of PI in phi2 * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in phi2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (asin (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))) in phi2 * [misc]backup-simplify: Simplify (asin (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))) into (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) * [misc]taylor: Taking taylor expansion of (- (/ PI 2) (asin (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1))))))) in phi1 * [misc]taylor: Taking taylor expansion of (/ PI 2) in phi1 * [misc]taylor: Taking taylor expansion of PI in phi1 * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (asin (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))) in phi1 * [misc]backup-simplify: Simplify (asin (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))) into (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) * [misc]taylor: Taking taylor expansion of (- (/ PI 2) (asin (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1))))))) in lambda2 * [misc]taylor: Taking taylor expansion of (/ PI 2) in lambda2 * [misc]taylor: Taking taylor expansion of PI in lambda2 * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (asin (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))) in lambda2 * [misc]backup-simplify: Simplify (asin (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))) into (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) * [misc]taylor: Taking taylor expansion of (- (/ PI 2) (asin (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1))))))) in lambda1 * [misc]taylor: Taking taylor expansion of (/ PI 2) in lambda1 * [misc]taylor: Taking taylor expansion of PI in lambda1 * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (asin (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))) in lambda1 * [misc]backup-simplify: Simplify (asin (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))) into (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) * [misc]taylor: Taking taylor expansion of (- (/ PI 2) (asin (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1))))))) in lambda1 * [misc]taylor: Taking taylor expansion of (/ PI 2) in lambda1 * [misc]taylor: Taking taylor expansion of PI in lambda1 * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (asin (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))) in lambda1 * [misc]backup-simplify: Simplify (asin (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))) into (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) * [misc]backup-simplify: Simplify (- (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) into (- (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) * [misc]backup-simplify: Simplify (+ (* 1/2 PI) (- (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))))) into (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/2 PI) in lambda2 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of PI in lambda2 * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda2 * [misc]backup-simplify: Simplify (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) * [misc]backup-simplify: Simplify (* 1/2 PI) into (* 1/2 PI) * [misc]backup-simplify: Simplify (- (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) into (- (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) * [misc]backup-simplify: Simplify (+ (* 1/2 PI) (- (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))))) into (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) in phi1 * [misc]taylor: Taking taylor expansion of (* 1/2 PI) in phi1 * [misc]taylor: Taking taylor expansion of 1/2 in phi1 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of PI in phi1 * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in phi1 * [misc]backup-simplify: Simplify (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) * [misc]backup-simplify: Simplify (* 1/2 PI) into (* 1/2 PI) * [misc]backup-simplify: Simplify (- (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) into (- (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) * [misc]backup-simplify: Simplify (+ (* 1/2 PI) (- (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))))) into (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) in phi2 * [misc]taylor: Taking taylor expansion of (* 1/2 PI) in phi2 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of PI in phi2 * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi2 * [misc]backup-simplify: Simplify (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) * [misc]backup-simplify: Simplify (* 1/2 PI) into (* 1/2 PI) * [misc]backup-simplify: Simplify (- (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) into (- (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) * [misc]backup-simplify: Simplify (+ (* 1/2 PI) (- (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))))) into (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) * [misc]backup-simplify: Simplify (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) into (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in 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 (+ (* 1/2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in 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 (+ (* 1/2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in 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 (- (* 1/2 PI) (asin (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (sin (/ -1 (/ 1 (- lambda2))))))) (+ (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (cos (/ -1 (/ 1 (- lambda2))))))))))) into (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 2) * [misc]approximate: Taking taylor expansion of (asin (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) in (lambda1 lambda2 phi1 phi2) around 0 * [misc]taylor: Taking taylor expansion of (asin (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) in phi2 * [misc]backup-simplify: Simplify (asin (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) * [misc]taylor: Taking taylor expansion of (asin (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) in phi1 * [misc]backup-simplify: Simplify (asin (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) * [misc]taylor: Taking taylor expansion of (asin (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) in lambda2 * [misc]backup-simplify: Simplify (asin (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) * [misc]taylor: Taking taylor expansion of (asin (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) in lambda1 * [misc]backup-simplify: Simplify (asin (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) * [misc]taylor: Taking taylor expansion of (asin (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) in lambda1 * [misc]backup-simplify: Simplify (asin (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) * [misc]taylor: Taking taylor expansion of (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2 * [misc]backup-simplify: Simplify (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) * [misc]taylor: Taking taylor expansion of (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1 * [misc]backup-simplify: Simplify (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) * [misc]taylor: Taking taylor expansion of (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2 * [misc]backup-simplify: Simplify (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) * [misc]backup-simplify: Simplify (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) * [misc]taylor: Taking taylor expansion of 0 in 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]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]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 (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) * [misc]approximate: Taking taylor expansion of (asin (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))) in (lambda1 lambda2 phi1 phi2) around 0 * [misc]taylor: Taking taylor expansion of (asin (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))) in phi2 * [misc]backup-simplify: Simplify (asin (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))) into (asin (+ (* (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 (asin (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))) in phi1 * [misc]backup-simplify: Simplify (asin (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))) into (asin (+ (* (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 (asin (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))) in lambda2 * [misc]backup-simplify: Simplify (asin (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))) into (asin (+ (* (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 (asin (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))) in lambda1 * [misc]backup-simplify: Simplify (asin (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))) into (asin (+ (* (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 (asin (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))) in lambda1 * [misc]backup-simplify: Simplify (asin (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))) into (asin (+ (* (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 (asin (+ (* (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 (asin (+ (* (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 (asin (+ (* (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 (asin (+ (* (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 phi1 * [misc]backup-simplify: Simplify (asin (+ (* (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 (asin (+ (* (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 (asin (+ (* (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 (asin (+ (* (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 (asin (+ (* (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 (asin (+ (* (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 (asin (+ (* (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 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]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]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 (asin (+ (* (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 (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) * [misc]approximate: Taking taylor expansion of (asin (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))) in (lambda1 lambda2 phi1 phi2) around 0 * [misc]taylor: Taking taylor expansion of (asin (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))) in phi2 * [misc]backup-simplify: Simplify (asin (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))) into (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) * [misc]taylor: Taking taylor expansion of (asin (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))) in phi1 * [misc]backup-simplify: Simplify (asin (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))) into (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) * [misc]taylor: Taking taylor expansion of (asin (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))) in lambda2 * [misc]backup-simplify: Simplify (asin (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))) into (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) * [misc]taylor: Taking taylor expansion of (asin (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))) in lambda1 * [misc]backup-simplify: Simplify (asin (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))) into (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) * [misc]taylor: Taking taylor expansion of (asin (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))) in lambda1 * [misc]backup-simplify: Simplify (asin (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))) into (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) * [misc]taylor: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda2 * [misc]backup-simplify: Simplify (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) * [misc]taylor: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in phi1 * [misc]backup-simplify: Simplify (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) * [misc]taylor: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi2 * [misc]backup-simplify: Simplify (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) * [misc]backup-simplify: Simplify (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) * [misc]taylor: Taking taylor expansion of 0 in 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]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]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 (asin (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (sin (/ -1 (/ 1 (- lambda2))))))) (+ (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (cos (/ -1 (/ 1 (- lambda2)))))))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (* R (- (/ PI 2) (asin (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))) in (R lambda1 lambda2 phi1 phi2) around 0 * [misc]taylor: Taking taylor expansion of (* R (- (/ PI 2) (asin (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))) in phi2 * [misc]taylor: Taking taylor expansion of R in phi2 * [misc]backup-simplify: Simplify R into R * [misc]taylor: Taking taylor expansion of (- (/ PI 2) (asin (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) in phi2 * [misc]taylor: Taking taylor expansion of (/ PI 2) in phi2 * [misc]taylor: Taking taylor expansion of PI in phi2 * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in phi2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (asin (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) in phi2 * [misc]backup-simplify: Simplify (asin (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) * [misc]taylor: Taking taylor expansion of (* R (- (/ PI 2) (asin (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))) in phi1 * [misc]taylor: Taking taylor expansion of R in phi1 * [misc]backup-simplify: Simplify R into R * [misc]taylor: Taking taylor expansion of (- (/ PI 2) (asin (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) in phi1 * [misc]taylor: Taking taylor expansion of (/ PI 2) in phi1 * [misc]taylor: Taking taylor expansion of PI in phi1 * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (asin (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) in phi1 * [misc]backup-simplify: Simplify (asin (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) * [misc]taylor: Taking taylor expansion of (* R (- (/ PI 2) (asin (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))) in lambda2 * [misc]taylor: Taking taylor expansion of R in lambda2 * [misc]backup-simplify: Simplify R into R * [misc]taylor: Taking taylor expansion of (- (/ PI 2) (asin (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) in lambda2 * [misc]taylor: Taking taylor expansion of (/ PI 2) in lambda2 * [misc]taylor: Taking taylor expansion of PI in lambda2 * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (asin (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) in lambda2 * [misc]backup-simplify: Simplify (asin (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) * [misc]taylor: Taking taylor expansion of (* R (- (/ PI 2) (asin (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))) in lambda1 * [misc]taylor: Taking taylor expansion of R in lambda1 * [misc]backup-simplify: Simplify R into R * [misc]taylor: Taking taylor expansion of (- (/ PI 2) (asin (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) in lambda1 * [misc]taylor: Taking taylor expansion of (/ PI 2) in lambda1 * [misc]taylor: Taking taylor expansion of PI in lambda1 * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (asin (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) in lambda1 * [misc]backup-simplify: Simplify (asin (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) * [misc]taylor: Taking taylor expansion of (* R (- (/ PI 2) (asin (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))) 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 (- (/ PI 2) (asin (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) in R * [misc]taylor: Taking taylor expansion of (/ PI 2) in R * [misc]taylor: Taking taylor expansion of PI in R * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in R * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (asin (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) in R * [misc]backup-simplify: Simplify (asin (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) * [misc]taylor: Taking taylor expansion of (* R (- (/ PI 2) (asin (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))) 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 (- (/ PI 2) (asin (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) in R * [misc]taylor: Taking taylor expansion of (/ PI 2) in R * [misc]taylor: Taking taylor expansion of PI in R * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in R * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (asin (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) in R * [misc]backup-simplify: Simplify (asin (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) * [misc]backup-simplify: Simplify (- (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (- (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) * [misc]backup-simplify: Simplify (+ (* 1/2 PI) (- (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) * [misc]backup-simplify: Simplify (* 0 (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [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 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 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))))) into (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda1 * [misc]taylor: Taking taylor expansion of (* 1/2 PI) in lambda1 * [misc]taylor: Taking taylor expansion of 1/2 in lambda1 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of PI in lambda1 * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1 * [misc]backup-simplify: Simplify (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) * [misc]backup-simplify: Simplify (* 1/2 PI) into (* 1/2 PI) * [misc]backup-simplify: Simplify (- (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (- (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) * [misc]backup-simplify: Simplify (+ (* 1/2 PI) (- (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/2 PI) in lambda2 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of PI in lambda2 * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2 * [misc]backup-simplify: Simplify (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) * [misc]backup-simplify: Simplify (* 1/2 PI) into (* 1/2 PI) * [misc]backup-simplify: Simplify (- (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (- (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) * [misc]backup-simplify: Simplify (+ (* 1/2 PI) (- (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi1 * [misc]taylor: Taking taylor expansion of (* 1/2 PI) in phi1 * [misc]taylor: Taking taylor expansion of 1/2 in phi1 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of PI in phi1 * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1 * [misc]backup-simplify: Simplify (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) * [misc]backup-simplify: Simplify (* 1/2 PI) into (* 1/2 PI) * [misc]backup-simplify: Simplify (- (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (- (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) * [misc]backup-simplify: Simplify (+ (* 1/2 PI) (- (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi2 * [misc]taylor: Taking taylor expansion of (* 1/2 PI) in phi2 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of PI in phi2 * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2 * [misc]backup-simplify: Simplify (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) * [misc]backup-simplify: Simplify (* 1/2 PI) into (* 1/2 PI) * [misc]backup-simplify: Simplify (- (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (- (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) * [misc]backup-simplify: Simplify (+ (* 1/2 PI) (- (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) * [misc]backup-simplify: Simplify (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) * [misc]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]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 (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [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 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 (+ (* 1/2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (* (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) (* 1 (* 1 (* 1 (* 1 R))))) into (* (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) R) * [misc]approximate: Taking taylor expansion of (* (/ 1 R) (- (/ PI 2) (asin (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))))) in (R lambda1 lambda2 phi1 phi2) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 R) (- (/ PI 2) (asin (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))))) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 R) in phi2 * [misc]taylor: Taking taylor expansion of R in phi2 * [misc]backup-simplify: Simplify R into R * [misc]backup-simplify: Simplify (/ 1 R) into (/ 1 R) * [misc]taylor: Taking taylor expansion of (- (/ PI 2) (asin (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in phi2 * [misc]taylor: Taking taylor expansion of (/ PI 2) in phi2 * [misc]taylor: Taking taylor expansion of PI in phi2 * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in phi2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (asin (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))) in phi2 * [misc]backup-simplify: Simplify (asin (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))) into (asin (+ (* (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) (- (/ PI 2) (asin (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))))) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 R) in phi1 * [misc]taylor: Taking taylor expansion of R in phi1 * [misc]backup-simplify: Simplify R into R * [misc]backup-simplify: Simplify (/ 1 R) into (/ 1 R) * [misc]taylor: Taking taylor expansion of (- (/ PI 2) (asin (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in phi1 * [misc]taylor: Taking taylor expansion of (/ PI 2) in phi1 * [misc]taylor: Taking taylor expansion of PI in phi1 * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (asin (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))) in phi1 * [misc]backup-simplify: Simplify (asin (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))) into (asin (+ (* (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) (- (/ PI 2) (asin (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))))) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 R) in lambda2 * [misc]taylor: Taking taylor expansion of R in lambda2 * [misc]backup-simplify: Simplify R into R * [misc]backup-simplify: Simplify (/ 1 R) into (/ 1 R) * [misc]taylor: Taking taylor expansion of (- (/ PI 2) (asin (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in lambda2 * [misc]taylor: Taking taylor expansion of (/ PI 2) in lambda2 * [misc]taylor: Taking taylor expansion of PI in lambda2 * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (asin (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))) in lambda2 * [misc]backup-simplify: Simplify (asin (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))) into (asin (+ (* (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) (- (/ PI 2) (asin (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))))) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 R) in lambda1 * [misc]taylor: Taking taylor expansion of R in lambda1 * [misc]backup-simplify: Simplify R into R * [misc]backup-simplify: Simplify (/ 1 R) into (/ 1 R) * [misc]taylor: Taking taylor expansion of (- (/ PI 2) (asin (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in lambda1 * [misc]taylor: Taking taylor expansion of (/ PI 2) in lambda1 * [misc]taylor: Taking taylor expansion of PI in lambda1 * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (asin (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))) in lambda1 * [misc]backup-simplify: Simplify (asin (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))) into (asin (+ (* (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) (- (/ PI 2) (asin (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))))) in R * [misc]taylor: Taking taylor expansion of (/ 1 R) in R * [misc]taylor: Taking taylor expansion of R in R * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (/ PI 2) (asin (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in R * [misc]taylor: Taking taylor expansion of (/ PI 2) in R * [misc]taylor: Taking taylor expansion of PI in R * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in R * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (asin (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))) in R * [misc]backup-simplify: Simplify (asin (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))) into (asin (+ (* (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) (- (/ PI 2) (asin (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))))) in R * [misc]taylor: Taking taylor expansion of (/ 1 R) in R * [misc]taylor: Taking taylor expansion of R in R * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (/ PI 2) (asin (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in R * [misc]taylor: Taking taylor expansion of (/ PI 2) in R * [misc]taylor: Taking taylor expansion of PI in R * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in R * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (asin (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))) in R * [misc]backup-simplify: Simplify (asin (+ (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))) into (asin (+ (* (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 (- (asin (+ (* (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 (- (asin (+ (* (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 (+ (* 1/2 PI) (- (asin (+ (* (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 (- (* 1/2 PI) (asin (+ (* (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 (- (* 1/2 PI) (asin (+ (* (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 (- (* 1/2 PI) (asin (+ (* (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 (- (* 1/2 PI) (asin (+ (* (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]taylor: Taking taylor expansion of (* 1/2 PI) in lambda1 * [misc]taylor: Taking taylor expansion of 1/2 in lambda1 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of PI in lambda1 * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (asin (+ (* (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 (asin (+ (* (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 (asin (+ (* (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 (* 1/2 PI) into (* 1/2 PI) * [misc]backup-simplify: Simplify (- (asin (+ (* (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 (- (asin (+ (* (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 (+ (* 1/2 PI) (- (asin (+ (* (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 (- (* 1/2 PI) (asin (+ (* (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 (- (* 1/2 PI) (asin (+ (* (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]taylor: Taking taylor expansion of (* 1/2 PI) in lambda2 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of PI in lambda2 * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (asin (+ (* (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 (asin (+ (* (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 (asin (+ (* (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 (* 1/2 PI) into (* 1/2 PI) * [misc]backup-simplify: Simplify (- (asin (+ (* (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 (- (asin (+ (* (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 (+ (* 1/2 PI) (- (asin (+ (* (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 (- (* 1/2 PI) (asin (+ (* (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 (- (* 1/2 PI) (asin (+ (* (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 phi1 * [misc]taylor: Taking taylor expansion of (* 1/2 PI) in phi1 * [misc]taylor: Taking taylor expansion of 1/2 in phi1 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of PI in phi1 * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (asin (+ (* (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 phi1 * [misc]backup-simplify: Simplify (asin (+ (* (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 (asin (+ (* (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 (* 1/2 PI) into (* 1/2 PI) * [misc]backup-simplify: Simplify (- (asin (+ (* (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 (- (asin (+ (* (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 (+ (* 1/2 PI) (- (asin (+ (* (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 (- (* 1/2 PI) (asin (+ (* (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 (- (* 1/2 PI) (asin (+ (* (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]taylor: Taking taylor expansion of (* 1/2 PI) in phi2 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of PI in phi2 * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (asin (+ (* (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 (asin (+ (* (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 (asin (+ (* (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 (* 1/2 PI) into (* 1/2 PI) * [misc]backup-simplify: Simplify (- (asin (+ (* (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 (- (asin (+ (* (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 (+ (* 1/2 PI) (- (asin (+ (* (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 (- (* 1/2 PI) (asin (+ (* (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 (- (* 1/2 PI) (asin (+ (* (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 (- (* 1/2 PI) (asin (+ (* (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 (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (- (* 1/2 PI) (asin (+ (* (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 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [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 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 (+ (* 1/2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (+ (* 1/2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in 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 (+ (* 1/2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (- (* 1/2 PI) (asin (+ (* (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 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [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 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 (* (- (* 1/2 PI) (asin (+ (* (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 (* 1 (* 1 (/ 1 (/ 1 R))))))) into (* R (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))))) * [misc]approximate: Taking taylor expansion of (* (/ 1 (- R)) (- (/ PI 2) (asin (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))))) in (R lambda1 lambda2 phi1 phi2) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- R)) (- (/ PI 2) (asin (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))))) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 (- R)) in phi2 * [misc]taylor: Taking taylor expansion of (- R) in phi2 * [misc]taylor: Taking taylor expansion of R in phi2 * [misc]backup-simplify: Simplify R into R * [misc]backup-simplify: Simplify (- R) into (- R) * [misc]backup-simplify: Simplify (- R) into (- R) * [misc]backup-simplify: Simplify (/ 1 (- R)) into (/ -1 R) * [misc]taylor: Taking taylor expansion of (- (/ PI 2) (asin (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1))))))) in phi2 * [misc]taylor: Taking taylor expansion of (/ PI 2) in phi2 * [misc]taylor: Taking taylor expansion of PI in phi2 * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in phi2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (asin (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))) in phi2 * [misc]backup-simplify: Simplify (asin (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))) into (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- R)) (- (/ PI 2) (asin (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))))) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 (- R)) in phi1 * [misc]taylor: Taking taylor expansion of (- R) in phi1 * [misc]taylor: Taking taylor expansion of R in phi1 * [misc]backup-simplify: Simplify R into R * [misc]backup-simplify: Simplify (- R) into (- R) * [misc]backup-simplify: Simplify (- R) into (- R) * [misc]backup-simplify: Simplify (/ 1 (- R)) into (/ -1 R) * [misc]taylor: Taking taylor expansion of (- (/ PI 2) (asin (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1))))))) in phi1 * [misc]taylor: Taking taylor expansion of (/ PI 2) in phi1 * [misc]taylor: Taking taylor expansion of PI in phi1 * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (asin (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))) in phi1 * [misc]backup-simplify: Simplify (asin (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))) into (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- R)) (- (/ PI 2) (asin (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))))) in 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 (- (/ PI 2) (asin (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1))))))) in lambda2 * [misc]taylor: Taking taylor expansion of (/ PI 2) in lambda2 * [misc]taylor: Taking taylor expansion of PI in lambda2 * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (asin (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))) in lambda2 * [misc]backup-simplify: Simplify (asin (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))) into (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- R)) (- (/ PI 2) (asin (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))))) in 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 (- (/ PI 2) (asin (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1))))))) in lambda1 * [misc]taylor: Taking taylor expansion of (/ PI 2) in lambda1 * [misc]taylor: Taking taylor expansion of PI in lambda1 * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (asin (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))) in lambda1 * [misc]backup-simplify: Simplify (asin (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))) into (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- R)) (- (/ PI 2) (asin (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))))) in R * [misc]taylor: Taking taylor expansion of (/ 1 (- R)) in R * [misc]taylor: Taking taylor expansion of (- R) in R * [misc]taylor: Taking taylor expansion of R in R * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (/ PI 2) (asin (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1))))))) in R * [misc]taylor: Taking taylor expansion of (/ PI 2) in R * [misc]taylor: Taking taylor expansion of PI in R * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in R * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (asin (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))) in R * [misc]backup-simplify: Simplify (asin (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))) into (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- R)) (- (/ PI 2) (asin (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))))) in R * [misc]taylor: Taking taylor expansion of (/ 1 (- R)) in R * [misc]taylor: Taking taylor expansion of (- R) in R * [misc]taylor: Taking taylor expansion of R in R * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (/ PI 2) (asin (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1))))))) in R * [misc]taylor: Taking taylor expansion of (/ PI 2) in R * [misc]taylor: Taking taylor expansion of PI in R * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in R * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (asin (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))) in R * [misc]backup-simplify: Simplify (asin (+ (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))) into (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) * [misc]backup-simplify: Simplify (- (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) into (- (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) * [misc]backup-simplify: Simplify (+ (* 1/2 PI) (- (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))))) into (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) * [misc]backup-simplify: Simplify (* -1 (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))))) into (* -1 (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))))) * [misc]taylor: Taking taylor expansion of (* -1 (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))))) in lambda1 * [misc]taylor: Taking taylor expansion of -1 in lambda1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) in lambda1 * [misc]taylor: Taking taylor expansion of (* 1/2 PI) in lambda1 * [misc]taylor: Taking taylor expansion of 1/2 in lambda1 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of PI in lambda1 * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in lambda1 * [misc]backup-simplify: Simplify (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) * [misc]backup-simplify: Simplify (* 1/2 PI) into (* 1/2 PI) * [misc]backup-simplify: Simplify (- (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) into (- (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) * [misc]backup-simplify: Simplify (+ (* 1/2 PI) (- (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))))) into (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) * [misc]backup-simplify: Simplify (* -1 (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))))) into (* -1 (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))))) * [misc]taylor: Taking taylor expansion of (* -1 (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))))) in lambda2 * [misc]taylor: Taking taylor expansion of -1 in lambda2 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/2 PI) in lambda2 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of PI in lambda2 * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in lambda2 * [misc]backup-simplify: Simplify (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) * [misc]backup-simplify: Simplify (* 1/2 PI) into (* 1/2 PI) * [misc]backup-simplify: Simplify (- (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) into (- (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) * [misc]backup-simplify: Simplify (+ (* 1/2 PI) (- (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))))) into (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) * [misc]backup-simplify: Simplify (* -1 (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))))) into (* -1 (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))))) * [misc]taylor: Taking taylor expansion of (* -1 (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))))) in phi1 * [misc]taylor: Taking taylor expansion of -1 in phi1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) in phi1 * [misc]taylor: Taking taylor expansion of (* 1/2 PI) in phi1 * [misc]taylor: Taking taylor expansion of 1/2 in phi1 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of PI in phi1 * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in phi1 * [misc]backup-simplify: Simplify (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) * [misc]backup-simplify: Simplify (* 1/2 PI) into (* 1/2 PI) * [misc]backup-simplify: Simplify (- (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) into (- (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) * [misc]backup-simplify: Simplify (+ (* 1/2 PI) (- (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))))) into (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) * [misc]backup-simplify: Simplify (* -1 (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))))) into (* -1 (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))))) * [misc]taylor: Taking taylor expansion of (* -1 (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))))) in phi2 * [misc]taylor: Taking taylor expansion of -1 in phi2 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) in phi2 * [misc]taylor: Taking taylor expansion of (* 1/2 PI) in phi2 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of PI in phi2 * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in phi2 * [misc]backup-simplify: Simplify (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) * [misc]backup-simplify: Simplify (* 1/2 PI) into (* 1/2 PI) * [misc]backup-simplify: Simplify (- (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) into (- (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) * [misc]backup-simplify: Simplify (+ (* 1/2 PI) (- (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))))) into (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) * [misc]backup-simplify: Simplify (* -1 (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))))) into (* -1 (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))))) * [misc]backup-simplify: Simplify (* -1 (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))))) into (* -1 (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))))) * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (+ (* 1/2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))))) into 0 * [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 (+ (* 1/2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))))) into 0 * [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 (+ (* 1/2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))))) into 0 * [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 (+ (* 1/2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 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 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (* (* -1 (- (* 1/2 PI) (asin (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (sin (/ -1 (/ 1 (- lambda2))))))) (+ (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (cos (/ -1 (/ 1 (- lambda2)))))))))))) (* 1 (* 1 (* 1 (* 1 (/ 1 (/ 1 (- R)))))))) into (* (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) R) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 2 1 1) * [misc]approximate: Taking taylor expansion of (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) in (lambda1 lambda2 phi1 phi2) around 0 * [misc]taylor: Taking taylor expansion of (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) in phi2 * [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)) 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))) (* (cos phi1) (cos phi2))) in phi1 * [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)) 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))) (* (cos phi1) (cos phi2))) in lambda2 * [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)) 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))) (* (cos phi1) (cos phi2))) in lambda1 * [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)) 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))) (* (cos phi1) (cos phi2))) in lambda1 * [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)) 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 (* (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 (* (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) 0) into (cos lambda2) * [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 (* (cos lambda2) (* (cos phi1) (cos phi2))) into (* (cos phi1) (* (cos phi2) (cos lambda2))) * [misc]taylor: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (cos 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) (cos 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 (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 (* (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) 1) into (cos phi2) * [misc]backup-simplify: Simplify (* (cos phi1) (cos phi2)) into (* (cos phi1) (cos phi2)) * [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]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]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 1 into 1 * [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 (+ (* (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 (+ 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 (sin lambda2)) into (sin lambda2) * [misc]backup-simplify: Simplify (+ (* (cos lambda2) 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]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 (+ (* (cos phi2) 0) (* 0 1)) 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]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 (+ (* 1 0) (* 0 (cos 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 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 (+ (* (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 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* (- 1/2) (cos lambda2)))) into (- (* 1/2 (cos lambda2))) * [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 (+ (- (* 1/2 (cos lambda2))) 0) into (- (* 1/2 (cos lambda2))) * [misc]backup-simplify: Simplify (+ (* (cos lambda2) 0) (+ (* (sin lambda2) 0) (* (- (* 1/2 (cos lambda2))) (* (cos phi1) (cos phi2))))) into (- (* 1/2 (* (cos phi1) (* (cos phi2) (cos lambda2))))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (* (cos phi1) (* (cos phi2) (cos lambda2))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/2 (* (cos phi1) (* (cos phi2) (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 phi1) (* (cos phi2) (cos 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) (cos 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 (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 (* (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) 1) into (cos phi2) * [misc]backup-simplify: Simplify (* (cos phi1) (cos phi2)) into (* (cos phi1) (cos phi2)) * [misc]backup-simplify: Simplify (* 1/2 (* (cos phi1) (cos phi2))) into (* 1/2 (* (cos phi1) (cos phi2))) * [misc]backup-simplify: Simplify (- (* 1/2 (* (cos phi1) (cos phi2)))) into (- (* 1/2 (* (cos phi1) (cos phi2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (* (cos phi1) (cos phi2)))) in phi1 * [misc]taylor: Taking taylor expansion of (* 1/2 (* (cos phi1) (cos phi2))) 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 (* (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]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 (* 1/2 (cos phi2)) into (* 1/2 (cos phi2)) * [misc]backup-simplify: Simplify (- (* 1/2 (cos phi2))) into (- (* 1/2 (cos phi2))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (cos phi2))) in phi2 * [misc]taylor: Taking taylor expansion of (* 1/2 (cos phi2)) in phi2 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (cos 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 (* 1/2 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 (/ (pow 1 1) 1))) into 1 * [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 (+ (* (cos phi2) 1) (* 0 0)) into (cos phi2) * [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) (cos phi2)) (* 0 0)) into (* (cos phi1) (cos phi2)) * [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]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]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 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (* 1 (* 1 (* lambda2 lambda1)))) (+ (* -1/2 (pow (* 1 (* 1 (* 1 lambda1))) 2)) 1)) into (- (+ 1 (* lambda2 lambda1)) (* 1/2 (pow lambda1 2))) * [misc]approximate: Taking taylor expansion of (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (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 (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) in 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))) 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)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) in phi1 * [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))) 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)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) in lambda2 * [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))) 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)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) in lambda1 * [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))) 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)))) (* (cos (/ 1 phi1)) (cos (/ 1 phi2)))) in lambda1 * [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))) 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 (* (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 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 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 lambda2)) (cos (/ 1 lambda1)))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) into (* (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of (* (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (* (cos (/ 1 phi2)) (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 phi2)) (cos (/ 1 phi1))) in lambda2 * [misc]taylor: Taking taylor expansion of (cos (/ 1 phi2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]backup-simplify: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) * [misc]backup-simplify: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 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 (* (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 phi2)) 1) into (cos (/ 1 phi2)) * [misc]backup-simplify: Simplify (* (sin (/ 1 phi2)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1 phi2)) 0) into (cos (/ 1 phi2)) * [misc]backup-simplify: Simplify (* (cos (/ 1 phi1)) 1) into (cos (/ 1 phi1)) * [misc]backup-simplify: Simplify (* (sin (/ 1 phi1)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1 phi1)) 0) into (cos (/ 1 phi1)) * [misc]backup-simplify: Simplify (* (cos (/ 1 phi2)) (cos (/ 1 phi1))) into (* (cos (/ 1 phi2)) (cos (/ 1 phi1))) * [misc]backup-simplify: Simplify (* (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) into (* (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of (* (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) in phi1 * [misc]taylor: Taking taylor expansion of (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) in phi1 * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 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 (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 lambda2)) (cos (/ 1 lambda1))) in phi1 * [misc]taylor: Taking taylor expansion of (cos (/ 1 lambda2)) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in phi1 * [misc]taylor: Taking taylor expansion of lambda2 in phi1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (/ 1 lambda2) into (/ 1 lambda2) * [misc]backup-simplify: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) * [misc]backup-simplify: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 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 phi2)) (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 (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 (* (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 phi2)) 1) into (cos (/ 1 phi2)) * [misc]backup-simplify: Simplify (* (sin (/ 1 phi2)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1 phi2)) 0) into (cos (/ 1 phi2)) * [misc]backup-simplify: Simplify (* (cos (/ 1 phi2)) (cos (/ 1 phi1))) into (* (cos (/ 1 phi2)) (cos (/ 1 phi1))) * [misc]backup-simplify: Simplify (* (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) into (* (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of (* (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (* (cos (/ 1 phi2)) (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 phi2)) (cos (/ 1 phi1))) in phi2 * [misc]taylor: Taking taylor expansion of (cos (/ 1 phi2)) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 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 (* (cos (/ 1 phi2)) (cos (/ 1 phi1))) into (* (cos (/ 1 phi2)) (cos (/ 1 phi1))) * [misc]backup-simplify: Simplify (* (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) into (* (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) into (* (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (* (cos (/ 1 phi2)) (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 (+ (* (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 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 (+ (* (sin (/ 1 lambda1)) 0) (* 0 (sin (/ 1 lambda2)))) 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 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 (+ (* (cos (/ 1 phi2)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 (cos (/ 1 phi1)))) 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 phi2)) (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 (+ (* (cos (/ 1 phi2)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 (cos (/ 1 phi1)))) 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 phi2)) (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 (+ (* (cos (/ 1 phi2)) 0) (* 0 (cos (/ 1 phi1)))) 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 phi2)) (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 (+ (* (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 (+ (* (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 (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda2))))) 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 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))) (sin (/ 1 (/ 1 lambda1)))) (* (cos (/ 1 (/ 1 lambda2))) (cos (/ 1 (/ 1 lambda1))))) (* (cos (/ 1 (/ 1 phi2))) (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 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (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 (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) in 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)))) 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))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) in phi1 * [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)))) 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))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) in lambda2 * [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)))) 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))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) in lambda1 * [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)))) 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))))) (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2))))) in lambda1 * [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)))) 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 (* (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 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)) 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 lambda1)) (cos (/ -1 lambda2)))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))) 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]taylor: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2)))))) in phi1 * [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 (* (cos (/ -1 phi2)) (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -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 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2)))) 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 -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 (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]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 -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 (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 -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 (cos (/ -1 lambda2)) into (cos (/ -1 lambda2)) * [misc]backup-simplify: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) * [misc]backup-simplify: Simplify (* (cos (/ -1 phi2)) 1) into (cos (/ -1 phi2)) * [misc]backup-simplify: Simplify (* (sin (/ -1 phi2)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1 phi2)) 0) into (cos (/ -1 phi2)) * [misc]backup-simplify: Simplify (* (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 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]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 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 (+ (* (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 (+ (* (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 (+ (* (sin (/ -1 lambda1)) 0) (* 0 (sin (/ -1 lambda2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -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 (+ (* (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]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 (+ (* (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 (+ 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 (+ (* (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 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 (+ (* (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]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 (+ (* (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 (+ (* (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 (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (cos (/ -1 lambda1)) (cos (/ -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)))) (* (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 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (/ PI 2)) (exp (asin (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (116 enodes) * * [misc]simplify: iters left: 2 (193 enodes) * * [misc]simplify: iters left: 1 (291 enodes) * [exit]simplify: Simplified to (exp (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))))))) * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (log (exp (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2)))))))))) * * * * [misc]progress: [ 2 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (/ PI 2)) (sqrt (asin (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (107 enodes) * * [misc]simplify: iters left: 2 (181 enodes) * * [misc]simplify: iters left: 1 (245 enodes) * [exit]simplify: Simplified to (+ (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))))))) * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (+ (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))))))) (- (sqrt (/ PI 2)) (sqrt (asin (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))))))) * [enter]simplify: Simplifying (- (sqrt (/ PI 2)) (sqrt (asin (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (109 enodes) * * [misc]simplify: iters left: 2 (184 enodes) * * [misc]simplify: iters left: 1 (248 enodes) * [exit]simplify: Simplified to (- (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))))))) * [misc]simplify: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (+ (sqrt (/ PI 2)) (sqrt (asin (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))) (- (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2)))))))))) * * * * [misc]progress: [ 13 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ PI 2) (asin (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (107 enodes) * * [misc]simplify: iters left: 2 (182 enodes) * * [misc]simplify: iters left: 1 (252 enodes) * [exit]simplify: Simplified to (- (/ PI 2) (asin (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) * [misc]simplify: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* 1 (- (/ PI 2) (asin (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))))) * * * * [misc]progress: [ 14 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (177 enodes) * * [misc]simplify: iters left: 1 (265 enodes) * [exit]simplify: Simplified to (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1)))) * [misc]simplify: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (+ (- (/ PI 2) (/ PI 2)) (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1))))))) * * * * [misc]progress: [ 15 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* R (- (asin (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (186 enodes) * * [misc]simplify: iters left: 1 (254 enodes) * [exit]simplify: Simplified to (* (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))))) (- R)) * [misc]simplify: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (+ (* R (/ PI 2)) (* (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))))) (- R)))) * * * * [misc]progress: [ 32 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* R (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (179 enodes) * * [misc]simplify: iters left: 1 (243 enodes) * [exit]simplify: Simplified to (* R (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))))))) * [misc]simplify: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (+ (* R (- (/ PI 2) (/ PI 2))) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))))))))) * * * * [misc]progress: [ 33 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* R (- (asin (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (186 enodes) * * [misc]simplify: iters left: 1 (254 enodes) * [exit]simplify: Simplified to (* (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))))) (- R)) * [misc]simplify: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (+ (* R (/ PI 2)) (* (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))))) (- R)))) * * * * [misc]progress: [ 34 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (asin (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) R) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (186 enodes) * * [misc]simplify: iters left: 1 (256 enodes) * [exit]simplify: Simplified to (* (- R) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1))))) * [misc]simplify: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (+ (* (/ PI 2) R) (* (- R) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1))))))) * * * * [misc]progress: [ 35 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) R) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (179 enodes) * * [misc]simplify: iters left: 1 (243 enodes) * [exit]simplify: Simplified to (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1)))) R) * [misc]simplify: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (+ (* (- (/ PI 2) (/ PI 2)) R) (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1)))) R))) * * * * [misc]progress: [ 36 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (asin (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) R) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (186 enodes) * * [misc]simplify: iters left: 1 (256 enodes) * [exit]simplify: Simplified to (* (- R) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1))))) * [misc]simplify: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (+ (* (/ PI 2) R) (* (- R) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1))))))) * * * * [misc]progress: [ 37 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (/ PI 2) (asin (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (182 enodes) * * [misc]simplify: iters left: 1 (249 enodes) * [exit]simplify: Simplified to (cbrt (- (/ PI 2) (asin (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))) * [misc]simplify: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* R (* (cbrt (- (/ PI 2) (asin (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))) (cbrt (- (/ PI 2) (asin (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))))) (cbrt (- (/ PI 2) (asin (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))))) * * * * [misc]progress: [ 38 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (/ PI 2) (asin (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (182 enodes) * * [misc]simplify: iters left: 1 (249 enodes) * [exit]simplify: Simplified to (sqrt (- (/ PI 2) (asin (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))) * [misc]simplify: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* R (sqrt (- (/ PI 2) (asin (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))))) (sqrt (- (/ PI 2) (asin (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))))) * * * * [misc]progress: [ 39 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ PI 2) (asin (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (107 enodes) * * [misc]simplify: iters left: 2 (182 enodes) * * [misc]simplify: iters left: 1 (252 enodes) * [exit]simplify: Simplified to (- (/ PI 2) (asin (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) * [misc]simplify: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* R 1) (- (/ PI 2) (asin (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))))) * * * * [misc]progress: [ 40 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqrt (/ PI 2)) (sqrt (asin (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (109 enodes) * * [misc]simplify: iters left: 2 (184 enodes) * * [misc]simplify: iters left: 1 (248 enodes) * [exit]simplify: Simplified to (- (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))))))) * [misc]simplify: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* R (+ (sqrt (/ PI 2)) (sqrt (asin (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))))) (- (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))))))))) * * * * [misc]progress: [ 41 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ PI 2) (asin (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (107 enodes) * * [misc]simplify: iters left: 2 (182 enodes) * * [misc]simplify: iters left: 1 (252 enodes) * [exit]simplify: Simplified to (- (/ PI 2) (asin (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) * [misc]simplify: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* R 1) (- (/ PI 2) (asin (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))))) * * * * [misc]progress: [ 42 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) (asin (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) (* (/ PI 2) (asin (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (148 enodes) * * [misc]simplify: iters left: 2 (229 enodes) * * [misc]simplify: iters left: 1 (299 enodes) * [exit]simplify: Simplified to (+ (* (/ PI 2) (+ (asin (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))))) (/ PI 2))) (* (asin (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))))) (asin (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))))))) * [misc]simplify: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (/ (* R (- (pow (/ PI 2) 3) (pow (asin (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) 3))) (+ (* (/ PI 2) (+ (asin (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))))) (/ PI 2))) (* (asin (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))))) (asin (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))))))))) * * * * [misc]progress: [ 43 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ PI 2) (asin (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (181 enodes) * * [misc]simplify: iters left: 1 (249 enodes) * [exit]simplify: Simplified to (+ (asin (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) (/ PI 2)) * [misc]simplify: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (/ (* R (- (* (/ PI 2) (/ PI 2)) (* (asin (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) (asin (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))))) (+ (asin (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) (/ PI 2)))) * * * * [misc]progress: [ 44 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (142 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) * [misc]simplify: Simplified (2 2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (- (/ PI 2) (asin (+ (pow (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) 1) (* (sin phi2) (sin phi1))))))) * * * * [misc]progress: [ 46 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (142 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) * [misc]simplify: Simplified (2 2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (- (/ PI 2) (asin (+ (pow (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) 1) (* (sin phi2) (sin phi1))))))) * * * * [misc]progress: [ 47 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (+ (log (cos phi1)) (log (cos phi2)))) * * [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 (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (+ (log (cos phi2)) (log (cos phi1)))) * [misc]simplify: Simplified (2 2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (- (/ PI 2) (asin (+ (exp (+ (log (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (+ (log (cos phi2)) (log (cos phi1))))) (* (sin phi2) (sin phi1))))))) * * * * [misc]progress: [ 49 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (log (* (cos phi1) (cos phi2)))) * * [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 phi1) (cos phi2)))) * [misc]simplify: Simplified (2 2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (- (/ PI 2) (asin (+ (exp (+ (log (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (log (* (cos phi1) (cos phi2))))) (* (sin phi2) (sin phi1))))))) * * * * [misc]progress: [ 50 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (* (* (cos phi1) (cos phi1)) (cos phi1)) (* (* (cos phi2) (cos phi2)) (cos phi2)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (211 enodes) * [exit]simplify: Simplified to (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (pow (cos phi1) 3) (pow (cos phi2) 3)))) * [misc]simplify: Simplified (2 2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (- (/ PI 2) (asin (+ (cbrt (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (pow (cos phi1) 3) (pow (cos phi2) 3))))) (* (sin phi2) (sin phi1))))))) * * * * [misc]progress: [ 53 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (* (* (cos phi1) (cos phi2)) (* (cos phi1) (cos phi2))) (* (cos phi1) (cos phi2)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (197 enodes) * [exit]simplify: Simplified to (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (pow (* (cos phi1) (cos phi2)) 3))) * [misc]simplify: Simplified (2 2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (- (/ PI 2) (asin (+ (cbrt (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (pow (* (cos phi1) (cos phi2)) 3)))) (* (sin phi2) (sin phi1))))))) * * * * [misc]progress: [ 54 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (+ (cos (+ lambda1 lambda2)) (cos (- lambda1 lambda2))) 2) (* 2 (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))))) (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (85 enodes) * * [misc]simplify: iters left: 3 (305 enodes) * [exit]simplify: Simplified to (* (* 2 (+ (cos (- phi1 phi2)) (cos (+ phi1 phi2)))) (+ (+ (cos (+ lambda2 lambda1)) (cos (- lambda1 lambda2))) (- (cos (- lambda1 lambda2)) (cos (+ lambda2 lambda1))))) * [misc]simplify: Simplified (2 2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (- (/ PI 2) (asin (+ (/ (* (* 2 (+ (cos (- phi1 phi2)) (cos (+ phi1 phi2)))) (+ (+ (cos (+ lambda2 lambda1)) (cos (- lambda1 lambda2))) (- (cos (- lambda1 lambda2)) (cos (+ lambda2 lambda1))))) (* (* 2 2) 2)) (* (sin phi2) (sin phi1))))))) * [enter]simplify: Simplifying (* (* 2 2) 2) * * [misc]simplify: iters left: 4 (3 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to 8 * [misc]simplify: Simplified (2 2 2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (- (/ PI 2) (asin (+ (/ (* (* 2 (+ (cos (- phi1 phi2)) (cos (+ phi1 phi2)))) (+ (+ (cos (+ lambda2 lambda1)) (cos (- lambda1 lambda2))) (- (cos (- lambda1 lambda2)) (cos (+ lambda2 lambda1))))) 8) (* (sin phi2) (sin phi1))))))) * * * * [misc]progress: [ 58 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (pow (* (cos lambda1) (cos lambda2)) 3) (pow (* (sin lambda1) (sin lambda2)) 3)) (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (119 enodes) * * [misc]simplify: iters left: 3 (397 enodes) * [exit]simplify: Simplified to (* (+ (pow (* (sin lambda1) (sin lambda2)) 3) (pow (* (cos lambda2) (cos lambda1)) 3)) (+ (cos (- phi1 phi2)) (cos (+ phi1 phi2)))) * [misc]simplify: Simplified (2 2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (- (/ PI 2) (asin (+ (/ (* (+ (pow (* (sin lambda1) (sin lambda2)) 3) (pow (* (cos lambda2) (cos lambda1)) 3)) (+ (cos (- phi1 phi2)) (cos (+ phi1 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))))) 2)) (* (sin phi2) (sin phi1))))))) * [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))))) 2) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * * [misc]simplify: iters left: 3 (274 enodes) * [exit]simplify: Simplified to (+ (* (* (* (cos lambda2) (cos lambda1)) (* (cos lambda2) (cos lambda1))) 2) (* (- (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (* (* 2 (sin lambda1)) (sin lambda2)))) * [misc]simplify: Simplified (2 2 2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (- (/ PI 2) (asin (+ (/ (* (+ (pow (* (cos lambda1) (cos lambda2)) 3) (pow (* (sin lambda1) (sin lambda2)) 3)) (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2)))) (+ (* (* (* (cos lambda2) (cos lambda1)) (* (cos lambda2) (cos lambda1))) 2) (* (- (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (* (* 2 (sin lambda1)) (sin lambda2))))) (* (sin phi2) (sin phi1))))))) * * * * [misc]progress: [ 59 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)))) (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (365 enodes) * [exit]simplify: Simplified to (* (- (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (+ (cos (- phi1 phi2)) (cos (+ phi2 phi1))) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))))) * [misc]simplify: Simplified (2 2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (- (/ PI 2) (asin (+ (/ (* (- (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (+ (cos (- phi1 phi2)) (cos (+ phi2 phi1))) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))))) (* (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) 2)) (* (sin phi2) (sin phi1))))))) * [enter]simplify: Simplifying (* (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) 2) * * [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 (81 enodes) * [exit]simplify: Simplified to (* 2 (- (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2)))) * [misc]simplify: Simplified (2 2 2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (- (/ PI 2) (asin (+ (/ (* (- (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)))) (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2)))) (* 2 (- (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))))) (* (sin phi2) (sin phi1))))))) * * * * [misc]progress: [ 60 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (cos phi2) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cos phi2) * [misc]simplify: Simplified (2 2 2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (- (/ PI 2) (asin (+ (* (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (cos phi1)) (cos phi2)) (* (sin phi2) (sin phi1))))))) * * * * [misc]progress: [ 62 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (cbrt (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (cbrt (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))))) * [misc]simplify: Simplified (2 2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (- (/ PI 2) (asin (+ (* (* (cbrt (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (cbrt (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))))) (* (cbrt (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (cos phi1) (cos phi2)))) (* (sin phi2) (sin phi1))))))) * * * * [misc]progress: [ 63 / 81 ] simplifiying candidate # * [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 2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (- (/ PI 2) (asin (+ (* (sqrt (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (* (sqrt (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (cos phi1) (cos phi2)))) (* (sin phi2) (sin phi1))))))) * * * * [misc]progress: [ 64 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 65 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 66 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (+ (cos (+ lambda1 lambda2)) (cos (- lambda1 lambda2))) 2) (* 2 (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))))) (* (cos phi1) (cos phi2))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (190 enodes) * [exit]simplify: Simplified to (* (+ (+ (cos (+ lambda2 lambda1)) (cos (- lambda1 lambda2))) (- (cos (- lambda1 lambda2)) (cos (+ lambda2 lambda1)))) (* (cos phi2) (* 2 (cos phi1)))) * [misc]simplify: Simplified (2 2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (- (/ PI 2) (asin (+ (/ (* (+ (+ (cos (+ lambda2 lambda1)) (cos (- lambda1 lambda2))) (- (cos (- lambda1 lambda2)) (cos (+ lambda2 lambda1)))) (* (cos phi2) (* 2 (cos phi1)))) (* 2 2)) (* (sin phi2) (sin phi1))))))) * * * * [misc]progress: [ 67 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (pow (* (cos lambda1) (cos lambda2)) 3) (pow (* (sin lambda1) (sin lambda2)) 3)) (* (cos phi1) (cos phi2))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (251 enodes) * [exit]simplify: Simplified to (+ (* (* (* (cos lambda2) (cos lambda1)) (* (cos lambda2) (cos lambda1))) (* (* (cos phi1) (cos phi2)) (* (cos lambda2) (cos lambda1)))) (* (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))))) * [misc]simplify: Simplified (2 2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (- (/ PI 2) (asin (+ (/ (+ (* (* (* (cos lambda2) (cos lambda1)) (* (cos lambda2) (cos lambda1))) (* (* (cos phi1) (cos phi2)) (* (cos lambda2) (cos lambda1)))) (* (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))))) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (- (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (sin phi2) (sin phi1))))))) * * * * [misc]progress: [ 68 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)))) (* (cos phi1) (cos phi2))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (238 enodes) * [exit]simplify: Simplified to (* (* (- (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi1) (cos phi2))) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) * [misc]simplify: Simplified (2 2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (- (/ PI 2) (asin (+ (/ (* (* (- (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi1) (cos phi2))) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (sin phi2) (sin phi1))))))) * * * * [misc]progress: [ 69 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 70 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (163 enodes) * * [misc]simplify: iters left: 2 (204 enodes) * [exit]simplify: Simplified to (- (* 1/2 PI) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (* (sin phi1) (sin phi2))))) * [misc]simplify: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (- (* 1/2 PI) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (* (sin phi1) (sin phi2))))))) * * * * [misc]progress: [ 71 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (163 enodes) * * [misc]simplify: iters left: 2 (204 enodes) * [exit]simplify: Simplified to (- (* 1/2 PI) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) * [misc]simplify: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (- (* 1/2 PI) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))))) * * * * [misc]progress: [ 72 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (163 enodes) * * [misc]simplify: iters left: 2 (204 enodes) * [exit]simplify: Simplified to (- (* 1/2 PI) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (* (sin phi1) (sin phi2))))) * [misc]simplify: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (- (* 1/2 PI) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (* (sin phi1) (sin phi2))))))) * * * * [misc]progress: [ 73 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (153 enodes) * * [misc]simplify: iters left: 2 (190 enodes) * [exit]simplify: Simplified to (asin (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))) * [misc]simplify: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1)))))))) * * * * [misc]progress: [ 74 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (153 enodes) * * [misc]simplify: iters left: 2 (190 enodes) * [exit]simplify: Simplified to (asin (+ (* (sin phi1) (sin phi2)) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))))) * [misc]simplify: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1)))))))) * * * * [misc]progress: [ 75 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (153 enodes) * * [misc]simplify: iters left: 2 (190 enodes) * [exit]simplify: Simplified to (asin (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))) * [misc]simplify: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1)))))))) * * * * [misc]progress: [ 76 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) R) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (184 enodes) * * [misc]simplify: iters left: 2 (234 enodes) * [exit]simplify: Simplified to (* (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))))))) R) * [misc]simplify: Simplified (2) to (λ (R lambda1 lambda2 phi1 phi2) (* (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))))))) R)) * * * * [misc]progress: [ 77 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* R (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (185 enodes) * * [misc]simplify: iters left: 2 (235 enodes) * [exit]simplify: Simplified to (* R (- (* PI 1/2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))) * [misc]simplify: Simplified (2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (- (* PI 1/2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))))) * * * * [misc]progress: [ 78 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) R) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (184 enodes) * * [misc]simplify: iters left: 2 (234 enodes) * [exit]simplify: Simplified to (* (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))))))) R) * [misc]simplify: Simplified (2) to (λ (R lambda1 lambda2 phi1 phi2) (* (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))))))) R)) * * * * [misc]progress: [ 79 / 81 ] simplifiying candidate # * [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 2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (- (/ PI 2) (asin (+ (+ (+ (* lambda1 lambda2) 1) (* (* -1/2 lambda1) lambda1)) (* (sin phi2) (sin phi1))))))) * * * * [misc]progress: [ 80 / 81 ] simplifiying candidate # * [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 2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (- (/ PI 2) (asin (+ (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1))))))) * * * * [misc]progress: [ 81 / 81 ] simplifiying candidate # * [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 2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (- (/ PI 2) (asin (+ (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))))) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime: Finding splitpoints for: (# # # # # # # # # # # # # #) * * * [misc]regime-changes: Trying 5 branch expressions: (R lambda2 lambda1 phi2 phi1) * * * * [misc]regimes: Trying to branch on R from (# # # # # # # # # # # # # #) * * * * [misc]regimes: Trying to branch on lambda2 from (# # # # # # # # # # # # # #) * * * * [misc]regimes: Trying to branch on lambda1 from (# # # # # # # # # # # # # #) * * * * [misc]regimes: Trying to branch on phi2 from (# # # # # # # # # # # # # #) * * * * [misc]regimes: Trying to branch on phi1 from (# # # # # # # # # # # # # #) * * * [misc]regime: Found split indices: #