0.617 * [progress]: [Phase 1 of 3] Setting up. 0.003 * * * [progress]: [1/2] Preparing points 1.729 * * * [progress]: [2/2] Setting up program. 1.742 * [progress]: [Phase 2 of 3] Improving. 1.742 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 1.745 * [simplify]: Simplifying: (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) 1.747 * * [simplify]: iteration 0: 17 enodes 1.759 * * [simplify]: iteration 1: 26 enodes 1.767 * * [simplify]: iteration 2: 33 enodes 1.777 * * [simplify]: iteration 3: 34 enodes 1.787 * * [simplify]: iteration complete: 34 enodes 1.788 * * [simplify]: Extracting #0: cost 1 inf + 0 1.788 * * [simplify]: Extracting #1: cost 3 inf + 0 1.789 * * [simplify]: Extracting #2: cost 3 inf + 1 1.789 * * [simplify]: Extracting #3: cost 5 inf + 1 1.789 * * [simplify]: Extracting #4: cost 13 inf + 1 1.789 * * [simplify]: Extracting #5: cost 16 inf + 1 1.789 * * [simplify]: Extracting #6: cost 15 inf + 125 1.789 * * [simplify]: Extracting #7: cost 10 inf + 411 1.789 * * [simplify]: Extracting #8: cost 5 inf + 961 1.790 * * [simplify]: Extracting #9: cost 2 inf + 1972 1.791 * * [simplify]: Extracting #10: cost 0 inf + 3201 1.791 * [simplify]: Simplified to: (* R (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) 1.795 * * [progress]: iteration 1 / 4 1.795 * * * [progress]: picking best candidate 1.844 * * * * [pick]: Picked # 1.844 * * * [progress]: localizing error 1.939 * * * [progress]: generating rewritten candidates 1.940 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 2) 1.966 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 1.970 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 1.983 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 2.011 * * * [progress]: generating series expansions 2.011 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 2) 2.014 * [backup-simplify]: Simplify (cos (- lambda1 lambda2)) into (cos (- lambda1 lambda2)) 2.014 * [approximate]: Taking taylor expansion of (cos (- lambda1 lambda2)) in (lambda1 lambda2) around 0 2.015 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda2 2.015 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda2 2.015 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.015 * [backup-simplify]: Simplify lambda1 into lambda1 2.015 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.015 * [backup-simplify]: Simplify 0 into 0 2.015 * [backup-simplify]: Simplify 1 into 1 2.017 * [backup-simplify]: Simplify (- 0) into 0 2.017 * [backup-simplify]: Simplify (+ lambda1 0) into lambda1 2.017 * [backup-simplify]: Simplify (cos lambda1) into (cos lambda1) 2.018 * [backup-simplify]: Simplify (sin lambda1) into (sin lambda1) 2.018 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 2.018 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 2.018 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.018 * [backup-simplify]: Simplify 0 into 0 2.018 * [backup-simplify]: Simplify 1 into 1 2.018 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.018 * [backup-simplify]: Simplify lambda2 into lambda2 2.018 * [backup-simplify]: Simplify (- lambda2) into (- lambda2) 2.018 * [backup-simplify]: Simplify (+ 0 (- lambda2)) into (- lambda2) 2.018 * [backup-simplify]: Simplify (cos (- lambda2)) into (cos (- lambda2)) 2.018 * [backup-simplify]: Simplify (sin (- lambda2)) into (sin (- lambda2)) 2.018 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 2.018 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 2.018 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.018 * [backup-simplify]: Simplify 0 into 0 2.018 * [backup-simplify]: Simplify 1 into 1 2.018 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.018 * [backup-simplify]: Simplify lambda2 into lambda2 2.018 * [backup-simplify]: Simplify (- lambda2) into (- lambda2) 2.018 * [backup-simplify]: Simplify (+ 0 (- lambda2)) into (- lambda2) 2.018 * [backup-simplify]: Simplify (cos (- lambda2)) into (cos (- lambda2)) 2.018 * [backup-simplify]: Simplify (sin (- lambda2)) into (sin (- lambda2)) 2.021 * [backup-simplify]: Simplify (* (cos (- lambda2)) 1) into (cos (- lambda2)) 2.021 * [backup-simplify]: Simplify (* (sin (- lambda2)) 0) into 0 2.022 * [backup-simplify]: Simplify (- 0) into 0 2.022 * [backup-simplify]: Simplify (+ (cos (- lambda2)) 0) into (cos (- lambda2)) 2.022 * [taylor]: Taking taylor expansion of (cos (- lambda2)) in lambda2 2.022 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 2.022 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.022 * [backup-simplify]: Simplify 0 into 0 2.022 * [backup-simplify]: Simplify 1 into 1 2.023 * [backup-simplify]: Simplify (- 0) into 0 2.023 * [backup-simplify]: Simplify (- 1) into -1 2.023 * [backup-simplify]: Simplify 1 into 1 2.025 * [backup-simplify]: Simplify (+ 0) into 0 2.025 * [backup-simplify]: Simplify (+ (* (cos (- lambda2)) 0) (* 0 1)) into 0 2.026 * [backup-simplify]: Simplify (- 0) into 0 2.027 * [backup-simplify]: Simplify (+ 1 0) into 1 2.027 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 2.028 * [backup-simplify]: Simplify (+ (* (sin (- lambda2)) 1) (* 0 0)) into (sin (- lambda2)) 2.028 * [backup-simplify]: Simplify (- (sin (- lambda2))) into (- (sin (- lambda2))) 2.028 * [backup-simplify]: Simplify (+ 0 (- (sin (- lambda2)))) into (- (sin (- lambda2))) 2.028 * [taylor]: Taking taylor expansion of (- (sin (- lambda2))) in lambda2 2.028 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2 2.028 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 2.028 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.028 * [backup-simplify]: Simplify 0 into 0 2.028 * [backup-simplify]: Simplify 1 into 1 2.029 * [backup-simplify]: Simplify (- 0) into 0 2.029 * [backup-simplify]: Simplify (- 1) into -1 2.029 * [backup-simplify]: Simplify (- 0) into 0 2.030 * [backup-simplify]: Simplify 0 into 0 2.030 * [backup-simplify]: Simplify (+ 0) into 0 2.030 * [backup-simplify]: Simplify 0 into 0 2.031 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 2.032 * [backup-simplify]: Simplify (+ (* (cos (- lambda2)) -1/2) (+ (* 0 0) (* 0 1))) into (- (* 1/2 (cos (- lambda2)))) 2.033 * [backup-simplify]: Simplify (- 0) into 0 2.033 * [backup-simplify]: Simplify (+ 0 0) into 0 2.034 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.034 * [backup-simplify]: Simplify (+ (* (sin (- lambda2)) 0) (+ (* 0 1) (* 0 0))) into 0 2.035 * [backup-simplify]: Simplify (- 0) into 0 2.035 * [backup-simplify]: Simplify (+ (- (* 1/2 (cos (- lambda2)))) 0) into (- (* 1/2 (cos (- lambda2)))) 2.035 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos (- lambda2)))) in lambda2 2.035 * [taylor]: Taking taylor expansion of (* 1/2 (cos (- lambda2))) in lambda2 2.035 * [taylor]: Taking taylor expansion of 1/2 in lambda2 2.035 * [backup-simplify]: Simplify 1/2 into 1/2 2.035 * [taylor]: Taking taylor expansion of (cos (- lambda2)) in lambda2 2.035 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 2.035 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.035 * [backup-simplify]: Simplify 0 into 0 2.035 * [backup-simplify]: Simplify 1 into 1 2.036 * [backup-simplify]: Simplify (- 0) into 0 2.036 * [backup-simplify]: Simplify (- 1) into -1 2.037 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 2.037 * [backup-simplify]: Simplify (- 1/2) into -1/2 2.037 * [backup-simplify]: Simplify -1/2 into -1/2 2.038 * [backup-simplify]: Simplify (- 1) into -1 2.039 * [backup-simplify]: Simplify (+ (* 1 (/ (pow -1 1) 1))) into -1 2.039 * [backup-simplify]: Simplify (- -1) into 1 2.039 * [backup-simplify]: Simplify 1 into 1 2.040 * [backup-simplify]: Simplify (+ (* 1 (* lambda2 lambda1)) (+ (* -1/2 (pow (* 1 lambda1) 2)) 1)) into (- (+ 1 (* lambda2 lambda1)) (* 1/2 (pow lambda1 2))) 2.040 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 2.040 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in (lambda1 lambda2) around 0 2.040 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 2.040 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 2.040 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 2.040 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.040 * [backup-simplify]: Simplify lambda1 into lambda1 2.040 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 2.040 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 2.040 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.040 * [backup-simplify]: Simplify 0 into 0 2.041 * [backup-simplify]: Simplify 1 into 1 2.041 * [backup-simplify]: Simplify (/ 1 1) into 1 2.042 * [backup-simplify]: Simplify (- 1) into -1 2.042 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.042 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 2.042 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 2.042 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 2.043 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 2.043 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.043 * [backup-simplify]: Simplify 0 into 0 2.043 * [backup-simplify]: Simplify 1 into 1 2.043 * [backup-simplify]: Simplify (/ 1 1) into 1 2.043 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 2.043 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.043 * [backup-simplify]: Simplify lambda2 into lambda2 2.043 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 2.043 * [backup-simplify]: Simplify (+ 1 0) into 1 2.044 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 2.044 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 2.044 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 2.044 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 2.044 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.044 * [backup-simplify]: Simplify 0 into 0 2.044 * [backup-simplify]: Simplify 1 into 1 2.044 * [backup-simplify]: Simplify (/ 1 1) into 1 2.044 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 2.044 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.044 * [backup-simplify]: Simplify lambda2 into lambda2 2.044 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 2.045 * [backup-simplify]: Simplify (+ 1 0) into 1 2.045 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 2.045 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 2.045 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 2.045 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 2.045 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.045 * [backup-simplify]: Simplify lambda1 into lambda1 2.045 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 2.045 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 2.045 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.045 * [backup-simplify]: Simplify 0 into 0 2.045 * [backup-simplify]: Simplify 1 into 1 2.046 * [backup-simplify]: Simplify (/ 1 1) into 1 2.046 * [backup-simplify]: Simplify (- 1) into -1 2.046 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.046 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 2.047 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 2.047 * [taylor]: Taking taylor expansion of 0 in lambda2 2.047 * [backup-simplify]: Simplify 0 into 0 2.047 * [backup-simplify]: Simplify 0 into 0 2.047 * [backup-simplify]: Simplify 0 into 0 2.047 * [taylor]: Taking taylor expansion of 0 in lambda2 2.047 * [backup-simplify]: Simplify 0 into 0 2.047 * [backup-simplify]: Simplify 0 into 0 2.047 * [backup-simplify]: Simplify 0 into 0 2.047 * [backup-simplify]: Simplify 0 into 0 2.047 * [taylor]: Taking taylor expansion of 0 in lambda2 2.047 * [backup-simplify]: Simplify 0 into 0 2.047 * [backup-simplify]: Simplify 0 into 0 2.047 * [backup-simplify]: Simplify (cos (- (/ 1 (/ 1 lambda1)) (/ 1 (/ 1 lambda2)))) into (cos (- lambda1 lambda2)) 2.047 * [backup-simplify]: Simplify (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2)))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 2.047 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in (lambda1 lambda2) around 0 2.047 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 2.047 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 2.047 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 2.047 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.047 * [backup-simplify]: Simplify 0 into 0 2.048 * [backup-simplify]: Simplify 1 into 1 2.048 * [backup-simplify]: Simplify (/ 1 1) into 1 2.048 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 2.048 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.048 * [backup-simplify]: Simplify lambda1 into lambda1 2.048 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 2.048 * [backup-simplify]: Simplify (+ 1 0) into 1 2.049 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 2.049 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 2.049 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 2.049 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 2.049 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.049 * [backup-simplify]: Simplify lambda2 into lambda2 2.049 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 2.049 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 2.049 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.049 * [backup-simplify]: Simplify 0 into 0 2.049 * [backup-simplify]: Simplify 1 into 1 2.049 * [backup-simplify]: Simplify (/ 1 1) into 1 2.050 * [backup-simplify]: Simplify (- 1) into -1 2.050 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.050 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 2.050 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 2.050 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 2.050 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 2.050 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.050 * [backup-simplify]: Simplify lambda2 into lambda2 2.050 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 2.050 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 2.050 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.050 * [backup-simplify]: Simplify 0 into 0 2.050 * [backup-simplify]: Simplify 1 into 1 2.051 * [backup-simplify]: Simplify (/ 1 1) into 1 2.051 * [backup-simplify]: Simplify (- 1) into -1 2.051 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.051 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 2.052 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 2.052 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 2.052 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 2.052 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.052 * [backup-simplify]: Simplify 0 into 0 2.052 * [backup-simplify]: Simplify 1 into 1 2.052 * [backup-simplify]: Simplify (/ 1 1) into 1 2.052 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 2.052 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.052 * [backup-simplify]: Simplify lambda1 into lambda1 2.052 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 2.052 * [backup-simplify]: Simplify (+ 1 0) into 1 2.053 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 2.053 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 2.053 * [taylor]: Taking taylor expansion of 0 in lambda2 2.053 * [backup-simplify]: Simplify 0 into 0 2.053 * [backup-simplify]: Simplify 0 into 0 2.053 * [backup-simplify]: Simplify 0 into 0 2.053 * [taylor]: Taking taylor expansion of 0 in lambda2 2.053 * [backup-simplify]: Simplify 0 into 0 2.053 * [backup-simplify]: Simplify 0 into 0 2.053 * [backup-simplify]: Simplify 0 into 0 2.053 * [backup-simplify]: Simplify 0 into 0 2.053 * [taylor]: Taking taylor expansion of 0 in lambda2 2.053 * [backup-simplify]: Simplify 0 into 0 2.053 * [backup-simplify]: Simplify 0 into 0 2.053 * [backup-simplify]: Simplify (cos (- (/ 1 (/ 1 (- lambda2))) (/ 1 (/ 1 (- lambda1))))) into (cos (- lambda1 lambda2)) 2.053 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 2.053 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 2.053 * [approximate]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in (phi1 phi2 lambda1 lambda2) around 0 2.053 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda2 2.055 * [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)))) 2.055 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda1 2.055 * [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)))) 2.055 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi2 2.055 * [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)))) 2.055 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi1 2.055 * [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)))) 2.055 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi1 2.055 * [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)))) 2.055 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi2 2.055 * [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)))) 2.056 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda1 2.056 * [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)))) 2.056 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda2 2.056 * [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)))) 2.056 * [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)))) 2.056 * [taylor]: Taking taylor expansion of 0 in phi2 2.056 * [backup-simplify]: Simplify 0 into 0 2.056 * [taylor]: Taking taylor expansion of 0 in lambda1 2.056 * [backup-simplify]: Simplify 0 into 0 2.056 * [taylor]: Taking taylor expansion of 0 in lambda2 2.056 * [backup-simplify]: Simplify 0 into 0 2.056 * [backup-simplify]: Simplify 0 into 0 2.056 * [taylor]: Taking taylor expansion of 0 in lambda1 2.056 * [backup-simplify]: Simplify 0 into 0 2.056 * [taylor]: Taking taylor expansion of 0 in lambda2 2.056 * [backup-simplify]: Simplify 0 into 0 2.056 * [backup-simplify]: Simplify 0 into 0 2.056 * [taylor]: Taking taylor expansion of 0 in lambda2 2.056 * [backup-simplify]: Simplify 0 into 0 2.056 * [backup-simplify]: Simplify 0 into 0 2.056 * [backup-simplify]: Simplify 0 into 0 2.056 * [taylor]: Taking taylor expansion of 0 in phi2 2.056 * [backup-simplify]: Simplify 0 into 0 2.056 * [taylor]: Taking taylor expansion of 0 in lambda1 2.056 * [backup-simplify]: Simplify 0 into 0 2.056 * [taylor]: Taking taylor expansion of 0 in lambda2 2.056 * [backup-simplify]: Simplify 0 into 0 2.056 * [backup-simplify]: Simplify 0 into 0 2.057 * [taylor]: Taking taylor expansion of 0 in lambda1 2.057 * [backup-simplify]: Simplify 0 into 0 2.057 * [taylor]: Taking taylor expansion of 0 in lambda2 2.057 * [backup-simplify]: Simplify 0 into 0 2.057 * [backup-simplify]: Simplify 0 into 0 2.057 * [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)))) 2.057 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (cos (- (/ 1 lambda1) (/ 1 lambda2)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) 2.057 * [approximate]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in (phi1 phi2 lambda1 lambda2) around 0 2.057 * [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 2.057 * [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)))))) 2.057 * [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 2.057 * [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)))))) 2.058 * [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 2.058 * [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)))))) 2.058 * [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 2.058 * [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)))))) 2.058 * [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 2.058 * [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)))))) 2.058 * [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 2.059 * [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)))))) 2.059 * [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 2.059 * [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)))))) 2.059 * [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 2.059 * [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)))))) 2.059 * [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)))))) 2.059 * [taylor]: Taking taylor expansion of 0 in phi2 2.059 * [backup-simplify]: Simplify 0 into 0 2.059 * [taylor]: Taking taylor expansion of 0 in lambda1 2.059 * [backup-simplify]: Simplify 0 into 0 2.059 * [taylor]: Taking taylor expansion of 0 in lambda2 2.059 * [backup-simplify]: Simplify 0 into 0 2.059 * [backup-simplify]: Simplify 0 into 0 2.059 * [taylor]: Taking taylor expansion of 0 in lambda1 2.059 * [backup-simplify]: Simplify 0 into 0 2.059 * [taylor]: Taking taylor expansion of 0 in lambda2 2.059 * [backup-simplify]: Simplify 0 into 0 2.059 * [backup-simplify]: Simplify 0 into 0 2.060 * [taylor]: Taking taylor expansion of 0 in lambda2 2.060 * [backup-simplify]: Simplify 0 into 0 2.060 * [backup-simplify]: Simplify 0 into 0 2.060 * [backup-simplify]: Simplify 0 into 0 2.060 * [taylor]: Taking taylor expansion of 0 in phi2 2.060 * [backup-simplify]: Simplify 0 into 0 2.060 * [taylor]: Taking taylor expansion of 0 in lambda1 2.060 * [backup-simplify]: Simplify 0 into 0 2.060 * [taylor]: Taking taylor expansion of 0 in lambda2 2.060 * [backup-simplify]: Simplify 0 into 0 2.060 * [backup-simplify]: Simplify 0 into 0 2.060 * [taylor]: Taking taylor expansion of 0 in lambda1 2.060 * [backup-simplify]: Simplify 0 into 0 2.060 * [taylor]: Taking taylor expansion of 0 in lambda2 2.060 * [backup-simplify]: Simplify 0 into 0 2.060 * [backup-simplify]: Simplify 0 into 0 2.060 * [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)))) 2.060 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) 2.060 * [approximate]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in (phi1 phi2 lambda1 lambda2) around 0 2.060 * [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 2.061 * [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))))))) 2.061 * [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 2.061 * [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))))))) 2.061 * [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 2.061 * [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))))))) 2.061 * [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 2.061 * [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))))))) 2.061 * [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 2.062 * [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))))))) 2.062 * [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 2.062 * [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))))))) 2.062 * [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 2.062 * [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))))))) 2.062 * [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 2.062 * [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))))))) 2.063 * [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))))))) 2.063 * [taylor]: Taking taylor expansion of 0 in phi2 2.063 * [backup-simplify]: Simplify 0 into 0 2.063 * [taylor]: Taking taylor expansion of 0 in lambda1 2.063 * [backup-simplify]: Simplify 0 into 0 2.063 * [taylor]: Taking taylor expansion of 0 in lambda2 2.063 * [backup-simplify]: Simplify 0 into 0 2.063 * [backup-simplify]: Simplify 0 into 0 2.063 * [taylor]: Taking taylor expansion of 0 in lambda1 2.063 * [backup-simplify]: Simplify 0 into 0 2.063 * [taylor]: Taking taylor expansion of 0 in lambda2 2.063 * [backup-simplify]: Simplify 0 into 0 2.063 * [backup-simplify]: Simplify 0 into 0 2.063 * [taylor]: Taking taylor expansion of 0 in lambda2 2.063 * [backup-simplify]: Simplify 0 into 0 2.063 * [backup-simplify]: Simplify 0 into 0 2.063 * [backup-simplify]: Simplify 0 into 0 2.063 * [taylor]: Taking taylor expansion of 0 in phi2 2.063 * [backup-simplify]: Simplify 0 into 0 2.063 * [taylor]: Taking taylor expansion of 0 in lambda1 2.063 * [backup-simplify]: Simplify 0 into 0 2.063 * [taylor]: Taking taylor expansion of 0 in lambda2 2.063 * [backup-simplify]: Simplify 0 into 0 2.063 * [backup-simplify]: Simplify 0 into 0 2.063 * [taylor]: Taking taylor expansion of 0 in lambda1 2.063 * [backup-simplify]: Simplify 0 into 0 2.063 * [taylor]: Taking taylor expansion of 0 in lambda2 2.063 * [backup-simplify]: Simplify 0 into 0 2.063 * [backup-simplify]: Simplify 0 into 0 2.063 * [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)))) 2.064 * * * * [progress]: [ 3 / 4 ] generating series at (2) 2.064 * [backup-simplify]: Simplify (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) into (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) 2.064 * [approximate]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 2.064 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in R 2.064 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in R 2.064 * [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)))) 2.064 * [taylor]: Taking taylor expansion of R in R 2.064 * [backup-simplify]: Simplify 0 into 0 2.064 * [backup-simplify]: Simplify 1 into 1 2.064 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in lambda2 2.064 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda2 2.064 * [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)))) 2.064 * [taylor]: Taking taylor expansion of R in lambda2 2.064 * [backup-simplify]: Simplify R into R 2.064 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in lambda1 2.064 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda1 2.064 * [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)))) 2.064 * [taylor]: Taking taylor expansion of R in lambda1 2.064 * [backup-simplify]: Simplify R into R 2.064 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in phi2 2.064 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi2 2.065 * [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)))) 2.065 * [taylor]: Taking taylor expansion of R in phi2 2.065 * [backup-simplify]: Simplify R into R 2.065 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in phi1 2.065 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi1 2.065 * [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)))) 2.065 * [taylor]: Taking taylor expansion of R in phi1 2.065 * [backup-simplify]: Simplify R into R 2.065 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in phi1 2.065 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi1 2.065 * [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)))) 2.065 * [taylor]: Taking taylor expansion of R in phi1 2.065 * [backup-simplify]: Simplify R into R 2.065 * [backup-simplify]: Simplify (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) into (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) 2.065 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in phi2 2.065 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi2 2.065 * [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)))) 2.065 * [taylor]: Taking taylor expansion of R in phi2 2.066 * [backup-simplify]: Simplify R into R 2.066 * [backup-simplify]: Simplify (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) into (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) 2.066 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in lambda1 2.066 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda1 2.066 * [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)))) 2.066 * [taylor]: Taking taylor expansion of R in lambda1 2.066 * [backup-simplify]: Simplify R into R 2.066 * [backup-simplify]: Simplify (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) into (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) 2.066 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in lambda2 2.066 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda2 2.066 * [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)))) 2.066 * [taylor]: Taking taylor expansion of R in lambda2 2.066 * [backup-simplify]: Simplify R into R 2.066 * [backup-simplify]: Simplify (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) into (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) 2.066 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in R 2.066 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in R 2.067 * [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)))) 2.067 * [taylor]: Taking taylor expansion of R in R 2.067 * [backup-simplify]: Simplify 0 into 0 2.067 * [backup-simplify]: Simplify 1 into 1 2.067 * [backup-simplify]: Simplify (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) into 0 2.067 * [backup-simplify]: Simplify 0 into 0 2.067 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) (* 0 R)) into 0 2.067 * [taylor]: Taking taylor expansion of 0 in phi2 2.067 * [backup-simplify]: Simplify 0 into 0 2.067 * [taylor]: Taking taylor expansion of 0 in lambda1 2.067 * [backup-simplify]: Simplify 0 into 0 2.067 * [taylor]: Taking taylor expansion of 0 in lambda2 2.067 * [backup-simplify]: Simplify 0 into 0 2.067 * [taylor]: Taking taylor expansion of 0 in R 2.067 * [backup-simplify]: Simplify 0 into 0 2.067 * [backup-simplify]: Simplify 0 into 0 2.067 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) (* 0 R)) into 0 2.067 * [taylor]: Taking taylor expansion of 0 in lambda1 2.067 * [backup-simplify]: Simplify 0 into 0 2.067 * [taylor]: Taking taylor expansion of 0 in lambda2 2.067 * [backup-simplify]: Simplify 0 into 0 2.068 * [taylor]: Taking taylor expansion of 0 in R 2.068 * [backup-simplify]: Simplify 0 into 0 2.068 * [backup-simplify]: Simplify 0 into 0 2.068 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) (* 0 R)) into 0 2.068 * [taylor]: Taking taylor expansion of 0 in lambda2 2.068 * [backup-simplify]: Simplify 0 into 0 2.068 * [taylor]: Taking taylor expansion of 0 in R 2.068 * [backup-simplify]: Simplify 0 into 0 2.068 * [backup-simplify]: Simplify 0 into 0 2.068 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) (* 0 R)) into 0 2.068 * [taylor]: Taking taylor expansion of 0 in R 2.068 * [backup-simplify]: Simplify 0 into 0 2.068 * [backup-simplify]: Simplify 0 into 0 2.069 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 1) (* 0 0)) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 2.069 * [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)))) 2.070 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) (+ (* 0 0) (* 0 R))) into 0 2.070 * [taylor]: Taking taylor expansion of 0 in phi2 2.070 * [backup-simplify]: Simplify 0 into 0 2.070 * [taylor]: Taking taylor expansion of 0 in lambda1 2.070 * [backup-simplify]: Simplify 0 into 0 2.070 * [taylor]: Taking taylor expansion of 0 in lambda2 2.070 * [backup-simplify]: Simplify 0 into 0 2.070 * [taylor]: Taking taylor expansion of 0 in R 2.070 * [backup-simplify]: Simplify 0 into 0 2.070 * [backup-simplify]: Simplify 0 into 0 2.070 * [taylor]: Taking taylor expansion of 0 in lambda1 2.070 * [backup-simplify]: Simplify 0 into 0 2.070 * [taylor]: Taking taylor expansion of 0 in lambda2 2.070 * [backup-simplify]: Simplify 0 into 0 2.070 * [taylor]: Taking taylor expansion of 0 in R 2.070 * [backup-simplify]: Simplify 0 into 0 2.070 * [backup-simplify]: Simplify 0 into 0 2.070 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) (+ (* 0 0) (* 0 R))) into 0 2.070 * [taylor]: Taking taylor expansion of 0 in lambda1 2.070 * [backup-simplify]: Simplify 0 into 0 2.070 * [taylor]: Taking taylor expansion of 0 in lambda2 2.070 * [backup-simplify]: Simplify 0 into 0 2.070 * [taylor]: Taking taylor expansion of 0 in R 2.071 * [backup-simplify]: Simplify 0 into 0 2.071 * [backup-simplify]: Simplify 0 into 0 2.071 * [taylor]: Taking taylor expansion of 0 in lambda2 2.071 * [backup-simplify]: Simplify 0 into 0 2.071 * [taylor]: Taking taylor expansion of 0 in R 2.071 * [backup-simplify]: Simplify 0 into 0 2.071 * [backup-simplify]: Simplify 0 into 0 2.071 * [taylor]: Taking taylor expansion of 0 in lambda2 2.071 * [backup-simplify]: Simplify 0 into 0 2.071 * [taylor]: Taking taylor expansion of 0 in R 2.071 * [backup-simplify]: Simplify 0 into 0 2.071 * [backup-simplify]: Simplify 0 into 0 2.071 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) (+ (* 0 0) (* 0 R))) into 0 2.071 * [taylor]: Taking taylor expansion of 0 in lambda2 2.071 * [backup-simplify]: Simplify 0 into 0 2.071 * [taylor]: Taking taylor expansion of 0 in R 2.071 * [backup-simplify]: Simplify 0 into 0 2.071 * [backup-simplify]: Simplify 0 into 0 2.072 * [backup-simplify]: Simplify (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) (* R (* 1 (* 1 (* 1 1))))) into (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) 2.072 * [backup-simplify]: Simplify (* (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (cos (- (/ 1 lambda1) (/ 1 lambda2)))))) (/ 1 R)) into (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) 2.072 * [approximate]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 2.072 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) in R 2.072 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in R 2.072 * [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)))))) 2.073 * [taylor]: Taking taylor expansion of R in R 2.073 * [backup-simplify]: Simplify 0 into 0 2.073 * [backup-simplify]: Simplify 1 into 1 2.073 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) 1) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) 2.073 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) in lambda2 2.073 * [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 2.073 * [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)))))) 2.073 * [taylor]: Taking taylor expansion of R in lambda2 2.073 * [backup-simplify]: Simplify R into R 2.073 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) into (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) 2.073 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) in lambda1 2.073 * [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 2.074 * [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)))))) 2.074 * [taylor]: Taking taylor expansion of R in lambda1 2.074 * [backup-simplify]: Simplify R into R 2.074 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) into (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) 2.074 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) in phi2 2.074 * [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 2.074 * [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)))))) 2.074 * [taylor]: Taking taylor expansion of R in phi2 2.074 * [backup-simplify]: Simplify R into R 2.074 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) into (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) 2.075 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) in phi1 2.075 * [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 2.075 * [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)))))) 2.075 * [taylor]: Taking taylor expansion of R in phi1 2.075 * [backup-simplify]: Simplify R into R 2.075 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) into (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) 2.075 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) in phi1 2.075 * [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 2.075 * [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)))))) 2.075 * [taylor]: Taking taylor expansion of R in phi1 2.075 * [backup-simplify]: Simplify R into R 2.076 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) into (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) 2.076 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) in phi2 2.076 * [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 2.076 * [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)))))) 2.076 * [taylor]: Taking taylor expansion of R in phi2 2.076 * [backup-simplify]: Simplify R into R 2.076 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) into (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) 2.076 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) in lambda1 2.076 * [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 2.076 * [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)))))) 2.076 * [taylor]: Taking taylor expansion of R in lambda1 2.076 * [backup-simplify]: Simplify R into R 2.077 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) into (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) 2.077 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) in lambda2 2.077 * [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 2.077 * [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)))))) 2.077 * [taylor]: Taking taylor expansion of R in lambda2 2.077 * [backup-simplify]: Simplify R into R 2.077 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) into (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) 2.077 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) in R 2.077 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in R 2.077 * [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)))))) 2.077 * [taylor]: Taking taylor expansion of R in R 2.077 * [backup-simplify]: Simplify 0 into 0 2.077 * [backup-simplify]: Simplify 1 into 1 2.078 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) 1) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) 2.078 * [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)))))) 2.079 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) (/ 0 R)))) into 0 2.079 * [taylor]: Taking taylor expansion of 0 in phi2 2.079 * [backup-simplify]: Simplify 0 into 0 2.079 * [taylor]: Taking taylor expansion of 0 in lambda1 2.079 * [backup-simplify]: Simplify 0 into 0 2.079 * [taylor]: Taking taylor expansion of 0 in lambda2 2.079 * [backup-simplify]: Simplify 0 into 0 2.079 * [taylor]: Taking taylor expansion of 0 in R 2.079 * [backup-simplify]: Simplify 0 into 0 2.079 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) (/ 0 R)))) into 0 2.079 * [taylor]: Taking taylor expansion of 0 in lambda1 2.079 * [backup-simplify]: Simplify 0 into 0 2.080 * [taylor]: Taking taylor expansion of 0 in lambda2 2.080 * [backup-simplify]: Simplify 0 into 0 2.080 * [taylor]: Taking taylor expansion of 0 in R 2.080 * [backup-simplify]: Simplify 0 into 0 2.080 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) (/ 0 R)))) into 0 2.080 * [taylor]: Taking taylor expansion of 0 in lambda2 2.080 * [backup-simplify]: Simplify 0 into 0 2.080 * [taylor]: Taking taylor expansion of 0 in R 2.080 * [backup-simplify]: Simplify 0 into 0 2.081 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) (/ 0 R)))) into 0 2.081 * [taylor]: Taking taylor expansion of 0 in R 2.081 * [backup-simplify]: Simplify 0 into 0 2.082 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) (/ 0 1)))) into 0 2.082 * [backup-simplify]: Simplify 0 into 0 2.083 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 2.083 * [taylor]: Taking taylor expansion of 0 in phi2 2.083 * [backup-simplify]: Simplify 0 into 0 2.083 * [taylor]: Taking taylor expansion of 0 in lambda1 2.083 * [backup-simplify]: Simplify 0 into 0 2.083 * [taylor]: Taking taylor expansion of 0 in lambda2 2.083 * [backup-simplify]: Simplify 0 into 0 2.083 * [taylor]: Taking taylor expansion of 0 in R 2.083 * [backup-simplify]: Simplify 0 into 0 2.083 * [taylor]: Taking taylor expansion of 0 in lambda1 2.083 * [backup-simplify]: Simplify 0 into 0 2.083 * [taylor]: Taking taylor expansion of 0 in lambda2 2.083 * [backup-simplify]: Simplify 0 into 0 2.083 * [taylor]: Taking taylor expansion of 0 in R 2.083 * [backup-simplify]: Simplify 0 into 0 2.084 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 2.084 * [taylor]: Taking taylor expansion of 0 in lambda1 2.084 * [backup-simplify]: Simplify 0 into 0 2.084 * [taylor]: Taking taylor expansion of 0 in lambda2 2.084 * [backup-simplify]: Simplify 0 into 0 2.084 * [taylor]: Taking taylor expansion of 0 in R 2.084 * [backup-simplify]: Simplify 0 into 0 2.084 * [taylor]: Taking taylor expansion of 0 in lambda2 2.084 * [backup-simplify]: Simplify 0 into 0 2.084 * [taylor]: Taking taylor expansion of 0 in R 2.084 * [backup-simplify]: Simplify 0 into 0 2.084 * [taylor]: Taking taylor expansion of 0 in lambda2 2.084 * [backup-simplify]: Simplify 0 into 0 2.084 * [taylor]: Taking taylor expansion of 0 in R 2.084 * [backup-simplify]: Simplify 0 into 0 2.085 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 2.085 * [taylor]: Taking taylor expansion of 0 in lambda2 2.085 * [backup-simplify]: Simplify 0 into 0 2.085 * [taylor]: Taking taylor expansion of 0 in R 2.085 * [backup-simplify]: Simplify 0 into 0 2.085 * [taylor]: Taking taylor expansion of 0 in R 2.085 * [backup-simplify]: Simplify 0 into 0 2.085 * [taylor]: Taking taylor expansion of 0 in R 2.085 * [backup-simplify]: Simplify 0 into 0 2.085 * [taylor]: Taking taylor expansion of 0 in R 2.085 * [backup-simplify]: Simplify 0 into 0 2.086 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 2.086 * [taylor]: Taking taylor expansion of 0 in R 2.086 * [backup-simplify]: Simplify 0 into 0 2.086 * [backup-simplify]: Simplify 0 into 0 2.086 * [backup-simplify]: Simplify 0 into 0 2.086 * [backup-simplify]: Simplify 0 into 0 2.086 * [backup-simplify]: Simplify 0 into 0 2.088 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.089 * [backup-simplify]: Simplify 0 into 0 2.090 * [backup-simplify]: Simplify (* (acos (+ (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (- (/ 1 (/ 1 lambda1)) (/ 1 (/ 1 lambda2)))) (cos (/ 1 (/ 1 phi1))))))) (* (/ 1 (/ 1 R)) (* 1 (* 1 (* 1 1))))) into (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) 2.090 * [backup-simplify]: Simplify (* (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2))))))) (/ 1 (- R))) into (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) 2.090 * [approximate]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) in (phi1 phi2 lambda1 lambda2 R) around 0 2.090 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) in R 2.090 * [taylor]: Taking taylor expansion of -1 in R 2.091 * [backup-simplify]: Simplify -1 into -1 2.091 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) in R 2.091 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in R 2.091 * [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))))))) 2.091 * [taylor]: Taking taylor expansion of R in R 2.091 * [backup-simplify]: Simplify 0 into 0 2.091 * [backup-simplify]: Simplify 1 into 1 2.092 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) 1) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) 2.092 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) in lambda2 2.092 * [taylor]: Taking taylor expansion of -1 in lambda2 2.092 * [backup-simplify]: Simplify -1 into -1 2.092 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) in lambda2 2.092 * [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 2.092 * [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))))))) 2.092 * [taylor]: Taking taylor expansion of R in lambda2 2.092 * [backup-simplify]: Simplify R into R 2.093 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) into (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) 2.093 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) in lambda1 2.093 * [taylor]: Taking taylor expansion of -1 in lambda1 2.093 * [backup-simplify]: Simplify -1 into -1 2.093 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) in lambda1 2.093 * [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 2.093 * [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))))))) 2.093 * [taylor]: Taking taylor expansion of R in lambda1 2.093 * [backup-simplify]: Simplify R into R 2.094 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) into (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) 2.094 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) in phi2 2.094 * [taylor]: Taking taylor expansion of -1 in phi2 2.094 * [backup-simplify]: Simplify -1 into -1 2.094 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) in phi2 2.094 * [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 2.094 * [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))))))) 2.094 * [taylor]: Taking taylor expansion of R in phi2 2.094 * [backup-simplify]: Simplify R into R 2.095 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) into (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) 2.095 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) in phi1 2.095 * [taylor]: Taking taylor expansion of -1 in phi1 2.095 * [backup-simplify]: Simplify -1 into -1 2.095 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) in phi1 2.095 * [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 2.095 * [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))))))) 2.095 * [taylor]: Taking taylor expansion of R in phi1 2.095 * [backup-simplify]: Simplify R into R 2.096 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) into (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) 2.096 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) in phi1 2.096 * [taylor]: Taking taylor expansion of -1 in phi1 2.096 * [backup-simplify]: Simplify -1 into -1 2.096 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) in phi1 2.096 * [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 2.097 * [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))))))) 2.097 * [taylor]: Taking taylor expansion of R in phi1 2.097 * [backup-simplify]: Simplify R into R 2.097 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) into (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) 2.098 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) into (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) 2.098 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) in phi2 2.098 * [taylor]: Taking taylor expansion of -1 in phi2 2.098 * [backup-simplify]: Simplify -1 into -1 2.098 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) in phi2 2.098 * [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 2.098 * [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))))))) 2.099 * [taylor]: Taking taylor expansion of R in phi2 2.099 * [backup-simplify]: Simplify R into R 2.099 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) into (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) 2.100 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) into (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) 2.100 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) in lambda1 2.100 * [taylor]: Taking taylor expansion of -1 in lambda1 2.100 * [backup-simplify]: Simplify -1 into -1 2.100 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) in lambda1 2.100 * [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 2.100 * [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))))))) 2.100 * [taylor]: Taking taylor expansion of R in lambda1 2.100 * [backup-simplify]: Simplify R into R 2.101 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) into (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) 2.101 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) into (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) 2.101 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) in lambda2 2.101 * [taylor]: Taking taylor expansion of -1 in lambda2 2.101 * [backup-simplify]: Simplify -1 into -1 2.101 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) in lambda2 2.101 * [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 2.102 * [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))))))) 2.102 * [taylor]: Taking taylor expansion of R in lambda2 2.102 * [backup-simplify]: Simplify R into R 2.102 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) into (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) 2.103 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) into (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) 2.103 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) in R 2.103 * [taylor]: Taking taylor expansion of -1 in R 2.103 * [backup-simplify]: Simplify -1 into -1 2.103 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) in R 2.103 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in R 2.103 * [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))))))) 2.103 * [taylor]: Taking taylor expansion of R in R 2.103 * [backup-simplify]: Simplify 0 into 0 2.103 * [backup-simplify]: Simplify 1 into 1 2.104 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) 1) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) 2.104 * [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)))))))) 2.105 * [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)))))))) 2.105 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) (/ 0 R)))) into 0 2.106 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R))) into 0 2.107 * [taylor]: Taking taylor expansion of 0 in phi2 2.107 * [backup-simplify]: Simplify 0 into 0 2.107 * [taylor]: Taking taylor expansion of 0 in lambda1 2.107 * [backup-simplify]: Simplify 0 into 0 2.107 * [taylor]: Taking taylor expansion of 0 in lambda2 2.107 * [backup-simplify]: Simplify 0 into 0 2.107 * [taylor]: Taking taylor expansion of 0 in R 2.107 * [backup-simplify]: Simplify 0 into 0 2.107 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) (/ 0 R)))) into 0 2.108 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R))) into 0 2.108 * [taylor]: Taking taylor expansion of 0 in lambda1 2.108 * [backup-simplify]: Simplify 0 into 0 2.108 * [taylor]: Taking taylor expansion of 0 in lambda2 2.108 * [backup-simplify]: Simplify 0 into 0 2.108 * [taylor]: Taking taylor expansion of 0 in R 2.108 * [backup-simplify]: Simplify 0 into 0 2.109 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) (/ 0 R)))) into 0 2.110 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R))) into 0 2.110 * [taylor]: Taking taylor expansion of 0 in lambda2 2.110 * [backup-simplify]: Simplify 0 into 0 2.110 * [taylor]: Taking taylor expansion of 0 in R 2.110 * [backup-simplify]: Simplify 0 into 0 2.111 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) (/ 0 R)))) into 0 2.112 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R))) into 0 2.112 * [taylor]: Taking taylor expansion of 0 in R 2.112 * [backup-simplify]: Simplify 0 into 0 2.114 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) (/ 0 1)))) into 0 2.114 * [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 2.115 * [backup-simplify]: Simplify 0 into 0 2.115 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 2.117 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)))) into 0 2.117 * [taylor]: Taking taylor expansion of 0 in phi2 2.117 * [backup-simplify]: Simplify 0 into 0 2.117 * [taylor]: Taking taylor expansion of 0 in lambda1 2.117 * [backup-simplify]: Simplify 0 into 0 2.117 * [taylor]: Taking taylor expansion of 0 in lambda2 2.117 * [backup-simplify]: Simplify 0 into 0 2.117 * [taylor]: Taking taylor expansion of 0 in R 2.117 * [backup-simplify]: Simplify 0 into 0 2.117 * [taylor]: Taking taylor expansion of 0 in lambda1 2.117 * [backup-simplify]: Simplify 0 into 0 2.117 * [taylor]: Taking taylor expansion of 0 in lambda2 2.117 * [backup-simplify]: Simplify 0 into 0 2.117 * [taylor]: Taking taylor expansion of 0 in R 2.117 * [backup-simplify]: Simplify 0 into 0 2.118 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 2.119 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)))) into 0 2.119 * [taylor]: Taking taylor expansion of 0 in lambda1 2.119 * [backup-simplify]: Simplify 0 into 0 2.120 * [taylor]: Taking taylor expansion of 0 in lambda2 2.120 * [backup-simplify]: Simplify 0 into 0 2.120 * [taylor]: Taking taylor expansion of 0 in R 2.120 * [backup-simplify]: Simplify 0 into 0 2.120 * [taylor]: Taking taylor expansion of 0 in lambda2 2.120 * [backup-simplify]: Simplify 0 into 0 2.120 * [taylor]: Taking taylor expansion of 0 in R 2.120 * [backup-simplify]: Simplify 0 into 0 2.120 * [taylor]: Taking taylor expansion of 0 in lambda2 2.120 * [backup-simplify]: Simplify 0 into 0 2.120 * [taylor]: Taking taylor expansion of 0 in R 2.120 * [backup-simplify]: Simplify 0 into 0 2.120 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 2.122 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)))) into 0 2.122 * [taylor]: Taking taylor expansion of 0 in lambda2 2.122 * [backup-simplify]: Simplify 0 into 0 2.122 * [taylor]: Taking taylor expansion of 0 in R 2.122 * [backup-simplify]: Simplify 0 into 0 2.122 * [taylor]: Taking taylor expansion of 0 in R 2.122 * [backup-simplify]: Simplify 0 into 0 2.122 * [taylor]: Taking taylor expansion of 0 in R 2.122 * [backup-simplify]: Simplify 0 into 0 2.122 * [taylor]: Taking taylor expansion of 0 in R 2.122 * [backup-simplify]: Simplify 0 into 0 2.123 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 2.132 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)))) into 0 2.133 * [taylor]: Taking taylor expansion of 0 in R 2.133 * [backup-simplify]: Simplify 0 into 0 2.133 * [backup-simplify]: Simplify 0 into 0 2.133 * [backup-simplify]: Simplify 0 into 0 2.133 * [backup-simplify]: Simplify 0 into 0 2.133 * [backup-simplify]: Simplify 0 into 0 2.135 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.136 * [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 2.136 * [backup-simplify]: Simplify 0 into 0 2.137 * [backup-simplify]: Simplify (* (* -1 (acos (+ (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (cos (- (/ 1 (/ 1 (- lambda2))) (/ 1 (/ 1 (- lambda1)))))))))) (* (/ 1 (/ 1 (- R))) (* 1 (* 1 (* 1 1))))) into (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) 2.137 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 2.137 * [backup-simplify]: Simplify (* (sin phi1) (sin phi2)) into (* (sin phi1) (sin phi2)) 2.138 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 2.138 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 2.138 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 2.138 * [taylor]: Taking taylor expansion of phi1 in phi2 2.138 * [backup-simplify]: Simplify phi1 into phi1 2.138 * [backup-simplify]: Simplify (sin phi1) into (sin phi1) 2.138 * [backup-simplify]: Simplify (cos phi1) into (cos phi1) 2.138 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 2.138 * [taylor]: Taking taylor expansion of phi2 in phi2 2.138 * [backup-simplify]: Simplify 0 into 0 2.138 * [backup-simplify]: Simplify 1 into 1 2.138 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 2.138 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 2.138 * [taylor]: Taking taylor expansion of phi1 in phi1 2.138 * [backup-simplify]: Simplify 0 into 0 2.138 * [backup-simplify]: Simplify 1 into 1 2.138 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 2.138 * [taylor]: Taking taylor expansion of phi2 in phi1 2.138 * [backup-simplify]: Simplify phi2 into phi2 2.138 * [backup-simplify]: Simplify (sin phi2) into (sin phi2) 2.138 * [backup-simplify]: Simplify (cos phi2) into (cos phi2) 2.138 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 2.138 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 2.138 * [taylor]: Taking taylor expansion of phi1 in phi1 2.138 * [backup-simplify]: Simplify 0 into 0 2.138 * [backup-simplify]: Simplify 1 into 1 2.138 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 2.138 * [taylor]: Taking taylor expansion of phi2 in phi1 2.138 * [backup-simplify]: Simplify phi2 into phi2 2.138 * [backup-simplify]: Simplify (sin phi2) into (sin phi2) 2.138 * [backup-simplify]: Simplify (cos phi2) into (cos phi2) 2.139 * [backup-simplify]: Simplify (* (sin phi2) 1) into (sin phi2) 2.139 * [backup-simplify]: Simplify (* (cos phi2) 0) into 0 2.139 * [backup-simplify]: Simplify (+ (sin phi2) 0) into (sin phi2) 2.139 * [backup-simplify]: Simplify (* 0 (sin phi2)) into 0 2.139 * [taylor]: Taking taylor expansion of 0 in phi2 2.139 * [backup-simplify]: Simplify 0 into 0 2.139 * [backup-simplify]: Simplify 0 into 0 2.139 * [backup-simplify]: Simplify (+ 0) into 0 2.140 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (* 0 1)) into 0 2.140 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.140 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (* 0 0)) into 0 2.141 * [backup-simplify]: Simplify (+ 0 0) into 0 2.141 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 2.141 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin phi2))) into (sin phi2) 2.141 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 2.141 * [taylor]: Taking taylor expansion of phi2 in phi2 2.141 * [backup-simplify]: Simplify 0 into 0 2.141 * [backup-simplify]: Simplify 1 into 1 2.141 * [backup-simplify]: Simplify 0 into 0 2.141 * [backup-simplify]: Simplify 0 into 0 2.142 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.142 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (* 0 1))) into 0 2.143 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.143 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (* 0 0))) into 0 2.144 * [backup-simplify]: Simplify (+ 0 0) into 0 2.144 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.145 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin phi2)))) into 0 2.145 * [taylor]: Taking taylor expansion of 0 in phi2 2.145 * [backup-simplify]: Simplify 0 into 0 2.145 * [backup-simplify]: Simplify 0 into 0 2.145 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 2.145 * [backup-simplify]: Simplify 1 into 1 2.145 * [backup-simplify]: Simplify 0 into 0 2.146 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.147 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.148 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 2.148 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 2.149 * [backup-simplify]: Simplify (+ 0 0) into 0 2.150 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 2.151 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* -1/6 (sin phi2))))) into (- (* 1/6 (sin phi2))) 2.151 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2 2.151 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 2.151 * [taylor]: Taking taylor expansion of 1/6 in phi2 2.151 * [backup-simplify]: Simplify 1/6 into 1/6 2.151 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 2.151 * [taylor]: Taking taylor expansion of phi2 in phi2 2.151 * [backup-simplify]: Simplify 0 into 0 2.151 * [backup-simplify]: Simplify 1 into 1 2.151 * [backup-simplify]: Simplify (* 1/6 0) into 0 2.151 * [backup-simplify]: Simplify (- 0) into 0 2.151 * [backup-simplify]: Simplify 0 into 0 2.151 * [backup-simplify]: Simplify 0 into 0 2.152 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.152 * [backup-simplify]: Simplify 0 into 0 2.152 * [backup-simplify]: Simplify 0 into 0 2.153 * [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 2.154 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.155 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 2.155 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 2.156 * [backup-simplify]: Simplify (+ 0 0) into 0 2.156 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 2.157 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* -1/6 0) (* 0 (sin phi2)))))) into 0 2.158 * [taylor]: Taking taylor expansion of 0 in phi2 2.158 * [backup-simplify]: Simplify 0 into 0 2.158 * [backup-simplify]: Simplify 0 into 0 2.158 * [backup-simplify]: Simplify (* 1 (* phi2 phi1)) into (* phi1 phi2) 2.158 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 2.158 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in (phi1 phi2) around 0 2.158 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi2 2.158 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 2.158 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 2.158 * [taylor]: Taking taylor expansion of phi2 in phi2 2.158 * [backup-simplify]: Simplify 0 into 0 2.158 * [backup-simplify]: Simplify 1 into 1 2.158 * [backup-simplify]: Simplify (/ 1 1) into 1 2.158 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 2.158 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 2.158 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 2.158 * [taylor]: Taking taylor expansion of phi1 in phi2 2.158 * [backup-simplify]: Simplify phi1 into phi1 2.158 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 2.158 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 2.159 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 2.159 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi1 2.159 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 2.159 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 2.159 * [taylor]: Taking taylor expansion of phi2 in phi1 2.159 * [backup-simplify]: Simplify phi2 into phi2 2.159 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 2.159 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 2.159 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 2.159 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 2.159 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 2.159 * [taylor]: Taking taylor expansion of phi1 in phi1 2.159 * [backup-simplify]: Simplify 0 into 0 2.159 * [backup-simplify]: Simplify 1 into 1 2.160 * [backup-simplify]: Simplify (/ 1 1) into 1 2.160 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 2.160 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi1 2.160 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 2.160 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 2.160 * [taylor]: Taking taylor expansion of phi2 in phi1 2.160 * [backup-simplify]: Simplify phi2 into phi2 2.160 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 2.160 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 2.160 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 2.160 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 2.160 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 2.160 * [taylor]: Taking taylor expansion of phi1 in phi1 2.160 * [backup-simplify]: Simplify 0 into 0 2.160 * [backup-simplify]: Simplify 1 into 1 2.161 * [backup-simplify]: Simplify (/ 1 1) into 1 2.161 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 2.161 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) 1) into (sin (/ 1 phi2)) 2.161 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) 0) into 0 2.161 * [backup-simplify]: Simplify (+ (sin (/ 1 phi2)) 0) into (sin (/ 1 phi2)) 2.161 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 2.161 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi2 2.161 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 2.161 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 2.161 * [taylor]: Taking taylor expansion of phi2 in phi2 2.161 * [backup-simplify]: Simplify 0 into 0 2.161 * [backup-simplify]: Simplify 1 into 1 2.162 * [backup-simplify]: Simplify (/ 1 1) into 1 2.162 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 2.162 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 2.162 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 2.162 * [taylor]: Taking taylor expansion of phi1 in phi2 2.162 * [backup-simplify]: Simplify phi1 into phi1 2.162 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 2.162 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 2.162 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 2.162 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) 1) into (sin (/ 1 phi1)) 2.162 * [backup-simplify]: Simplify (* (cos (/ 1 phi1)) 0) into 0 2.162 * [backup-simplify]: Simplify (+ (sin (/ 1 phi1)) 0) into (sin (/ 1 phi1)) 2.163 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 2.163 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 2.163 * [backup-simplify]: Simplify (+ 0) into 0 2.164 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 1)) into 0 2.164 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 2.165 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.165 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 0)) into 0 2.166 * [backup-simplify]: Simplify (+ 0 0) into 0 2.166 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 (sin (/ 1 phi1)))) into 0 2.166 * [taylor]: Taking taylor expansion of 0 in phi2 2.166 * [backup-simplify]: Simplify 0 into 0 2.166 * [backup-simplify]: Simplify 0 into 0 2.167 * [backup-simplify]: Simplify (+ 0) into 0 2.167 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 1)) into 0 2.167 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 2.168 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.168 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (* 0 0)) into 0 2.169 * [backup-simplify]: Simplify (+ 0 0) into 0 2.169 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 (sin (/ 1 phi1)))) into 0 2.169 * [backup-simplify]: Simplify 0 into 0 2.170 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.171 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0 2.171 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 2.172 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.172 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0 2.173 * [backup-simplify]: Simplify (+ 0 0) into 0 2.173 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1))))) into 0 2.173 * [taylor]: Taking taylor expansion of 0 in phi2 2.173 * [backup-simplify]: Simplify 0 into 0 2.173 * [backup-simplify]: Simplify 0 into 0 2.173 * [backup-simplify]: Simplify 0 into 0 2.174 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.175 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0 2.175 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 2.176 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.177 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0 2.177 * [backup-simplify]: Simplify (+ 0 0) into 0 2.178 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1))))) into 0 2.178 * [backup-simplify]: Simplify 0 into 0 2.179 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.180 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.180 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 2.182 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 2.182 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 2.183 * [backup-simplify]: Simplify (+ 0 0) into 0 2.184 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1)))))) into 0 2.184 * [taylor]: Taking taylor expansion of 0 in phi2 2.184 * [backup-simplify]: Simplify 0 into 0 2.184 * [backup-simplify]: Simplify 0 into 0 2.184 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) into (* (sin phi1) (sin phi2)) 2.184 * [backup-simplify]: Simplify (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 2.184 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 2.184 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 2.184 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 2.184 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 2.184 * [taylor]: Taking taylor expansion of -1 in phi2 2.184 * [backup-simplify]: Simplify -1 into -1 2.184 * [taylor]: Taking taylor expansion of phi1 in phi2 2.184 * [backup-simplify]: Simplify phi1 into phi1 2.185 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1) 2.185 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 2.185 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 2.185 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 2.185 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 2.185 * [taylor]: Taking taylor expansion of -1 in phi2 2.185 * [backup-simplify]: Simplify -1 into -1 2.185 * [taylor]: Taking taylor expansion of phi2 in phi2 2.185 * [backup-simplify]: Simplify 0 into 0 2.185 * [backup-simplify]: Simplify 1 into 1 2.185 * [backup-simplify]: Simplify (/ -1 1) into -1 2.186 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 2.186 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 2.186 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 2.186 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 2.186 * [taylor]: Taking taylor expansion of -1 in phi1 2.186 * [backup-simplify]: Simplify -1 into -1 2.186 * [taylor]: Taking taylor expansion of phi1 in phi1 2.186 * [backup-simplify]: Simplify 0 into 0 2.186 * [backup-simplify]: Simplify 1 into 1 2.186 * [backup-simplify]: Simplify (/ -1 1) into -1 2.186 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 2.186 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 2.186 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 2.186 * [taylor]: Taking taylor expansion of -1 in phi1 2.186 * [backup-simplify]: Simplify -1 into -1 2.186 * [taylor]: Taking taylor expansion of phi2 in phi1 2.186 * [backup-simplify]: Simplify phi2 into phi2 2.187 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2) 2.187 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 2.187 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 2.187 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 2.187 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 2.187 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 2.187 * [taylor]: Taking taylor expansion of -1 in phi1 2.187 * [backup-simplify]: Simplify -1 into -1 2.187 * [taylor]: Taking taylor expansion of phi1 in phi1 2.187 * [backup-simplify]: Simplify 0 into 0 2.187 * [backup-simplify]: Simplify 1 into 1 2.187 * [backup-simplify]: Simplify (/ -1 1) into -1 2.187 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 2.187 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 2.187 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 2.188 * [taylor]: Taking taylor expansion of -1 in phi1 2.188 * [backup-simplify]: Simplify -1 into -1 2.188 * [taylor]: Taking taylor expansion of phi2 in phi1 2.188 * [backup-simplify]: Simplify phi2 into phi2 2.188 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2) 2.188 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 2.188 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 2.188 * [backup-simplify]: Simplify (* (sin (/ -1 phi2)) 1) into (sin (/ -1 phi2)) 2.188 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) 0) into 0 2.188 * [backup-simplify]: Simplify (+ (sin (/ -1 phi2)) 0) into (sin (/ -1 phi2)) 2.188 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 2.188 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 2.188 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 2.188 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 2.188 * [taylor]: Taking taylor expansion of -1 in phi2 2.188 * [backup-simplify]: Simplify -1 into -1 2.188 * [taylor]: Taking taylor expansion of phi1 in phi2 2.188 * [backup-simplify]: Simplify phi1 into phi1 2.189 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1) 2.189 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 2.189 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 2.189 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 2.189 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 2.189 * [taylor]: Taking taylor expansion of -1 in phi2 2.189 * [backup-simplify]: Simplify -1 into -1 2.189 * [taylor]: Taking taylor expansion of phi2 in phi2 2.189 * [backup-simplify]: Simplify 0 into 0 2.189 * [backup-simplify]: Simplify 1 into 1 2.189 * [backup-simplify]: Simplify (/ -1 1) into -1 2.190 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 2.190 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) 1) into (sin (/ -1 phi1)) 2.190 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) 0) into 0 2.190 * [backup-simplify]: Simplify (+ (sin (/ -1 phi1)) 0) into (sin (/ -1 phi1)) 2.190 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 2.190 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 2.191 * [backup-simplify]: Simplify (+ 0) into 0 2.191 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (* 0 1)) into 0 2.191 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)))) into 0 2.192 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.192 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 0)) into 0 2.193 * [backup-simplify]: Simplify (+ 0 0) into 0 2.193 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) into 0 2.193 * [taylor]: Taking taylor expansion of 0 in phi2 2.193 * [backup-simplify]: Simplify 0 into 0 2.193 * [backup-simplify]: Simplify 0 into 0 2.194 * [backup-simplify]: Simplify (+ 0) into 0 2.195 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 1)) into 0 2.195 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)))) into 0 2.196 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.196 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 0)) into 0 2.197 * [backup-simplify]: Simplify (+ 0 0) into 0 2.197 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) into 0 2.197 * [backup-simplify]: Simplify 0 into 0 2.198 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.199 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0 2.199 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 2.200 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.201 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0 2.201 * [backup-simplify]: Simplify (+ 0 0) into 0 2.202 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0 2.202 * [taylor]: Taking taylor expansion of 0 in phi2 2.202 * [backup-simplify]: Simplify 0 into 0 2.202 * [backup-simplify]: Simplify 0 into 0 2.202 * [backup-simplify]: Simplify 0 into 0 2.203 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.203 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0 2.204 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 2.204 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.205 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0 2.205 * [backup-simplify]: Simplify (+ 0 0) into 0 2.206 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0 2.206 * [backup-simplify]: Simplify 0 into 0 2.207 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.208 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.209 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 2.210 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 2.211 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 2.211 * [backup-simplify]: Simplify (+ 0 0) into 0 2.212 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2)))))) into 0 2.212 * [taylor]: Taking taylor expansion of 0 in phi2 2.212 * [backup-simplify]: Simplify 0 into 0 2.212 * [backup-simplify]: Simplify 0 into 0 2.213 * [backup-simplify]: Simplify (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) into (* (sin phi1) (sin phi2)) 2.213 * * * [progress]: simplifying candidates 2.213 * * * * [progress]: [ 1 / 71 ] simplifiying candidate # 2.213 * * * * [progress]: [ 2 / 71 ] simplifiying candidate # 2.213 * * * * [progress]: [ 3 / 71 ] simplifiying candidate # 2.213 * * * * [progress]: [ 4 / 71 ] simplifiying candidate # 2.213 * * * * [progress]: [ 5 / 71 ] simplifiying candidate # 2.213 * * * * [progress]: [ 6 / 71 ] simplifiying candidate # 2.214 * * * * [progress]: [ 7 / 71 ] simplifiying candidate # 2.214 * * * * [progress]: [ 8 / 71 ] simplifiying candidate # 2.214 * * * * [progress]: [ 9 / 71 ] simplifiying candidate # 2.214 * * * * [progress]: [ 10 / 71 ] simplifiying candidate # 2.214 * * * * [progress]: [ 11 / 71 ] simplifiying candidate #real (real->posit16 (cos (- lambda1 lambda2))))))) R))> 2.214 * * * * [progress]: [ 12 / 71 ] simplifiying candidate # 2.214 * * * * [progress]: [ 13 / 71 ] simplifiying candidate # 2.214 * * * * [progress]: [ 14 / 71 ] simplifiying candidate # 2.214 * * * * [progress]: [ 15 / 71 ] simplifiying candidate # 2.214 * * * * [progress]: [ 16 / 71 ] simplifiying candidate # 2.214 * * * * [progress]: [ 17 / 71 ] simplifiying candidate # 2.214 * * * * [progress]: [ 18 / 71 ] simplifiying candidate # 2.214 * * * * [progress]: [ 19 / 71 ] simplifiying candidate # 2.214 * * * * [progress]: [ 20 / 71 ] simplifiying candidate #real (real->posit16 (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))) R))> 2.215 * * * * [progress]: [ 21 / 71 ] simplifiying candidate # 2.215 * * * * [progress]: [ 22 / 71 ] simplifiying candidate # 2.215 * * * * [progress]: [ 23 / 71 ] simplifiying candidate # 2.215 * * * * [progress]: [ 24 / 71 ] simplifiying candidate # 2.215 * * * * [progress]: [ 25 / 71 ] simplifiying candidate # 2.215 * * * * [progress]: [ 26 / 71 ] simplifiying candidate # 2.215 * * * * [progress]: [ 27 / 71 ] simplifiying candidate # 2.215 * * * * [progress]: [ 28 / 71 ] simplifiying candidate # 2.215 * * * * [progress]: [ 29 / 71 ] simplifiying candidate # 2.215 * * * * [progress]: [ 30 / 71 ] simplifiying candidate # 2.215 * * * * [progress]: [ 31 / 71 ] simplifiying candidate # 2.215 * * * * [progress]: [ 32 / 71 ] simplifiying candidate # 2.215 * * * * [progress]: [ 33 / 71 ] simplifiying candidate # 2.215 * * * * [progress]: [ 34 / 71 ] simplifiying candidate # 2.216 * * * * [progress]: [ 35 / 71 ] simplifiying candidate # 2.216 * * * * [progress]: [ 36 / 71 ] simplifiying candidate # 2.216 * * * * [progress]: [ 37 / 71 ] simplifiying candidate # 2.216 * * * * [progress]: [ 38 / 71 ] simplifiying candidate #real (real->posit16 (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))))> 2.216 * * * * [progress]: [ 39 / 71 ] simplifiying candidate # 2.216 * * * * [progress]: [ 40 / 71 ] simplifiying candidate # 2.216 * * * * [progress]: [ 41 / 71 ] simplifiying candidate # 2.216 * * * * [progress]: [ 42 / 71 ] simplifiying candidate # 2.216 * * * * [progress]: [ 43 / 71 ] simplifiying candidate # 2.216 * * * * [progress]: [ 44 / 71 ] simplifiying candidate # 2.216 * * * * [progress]: [ 45 / 71 ] simplifiying candidate # 2.216 * * * * [progress]: [ 46 / 71 ] simplifiying candidate # 2.216 * * * * [progress]: [ 47 / 71 ] simplifiying candidate # 2.217 * * * * [progress]: [ 48 / 71 ] simplifiying candidate # 2.217 * * * * [progress]: [ 49 / 71 ] simplifiying candidate # 2.217 * * * * [progress]: [ 50 / 71 ] simplifiying candidate # 2.217 * * * * [progress]: [ 51 / 71 ] simplifiying candidate # 2.217 * * * * [progress]: [ 52 / 71 ] simplifiying candidate # 2.217 * * * * [progress]: [ 53 / 71 ] simplifiying candidate # 2.217 * * * * [progress]: [ 54 / 71 ] simplifiying candidate # 2.217 * * * * [progress]: [ 55 / 71 ] simplifiying candidate # 2.217 * * * * [progress]: [ 56 / 71 ] simplifiying candidate # 2.217 * * * * [progress]: [ 57 / 71 ] simplifiying candidate # 2.217 * * * * [progress]: [ 58 / 71 ] simplifiying candidate #real (real->posit16 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))> 2.217 * * * * [progress]: [ 59 / 71 ] simplifiying candidate # 2.217 * * * * [progress]: [ 60 / 71 ] simplifiying candidate # 2.217 * * * * [progress]: [ 61 / 71 ] simplifiying candidate # 2.218 * * * * [progress]: [ 62 / 71 ] simplifiying candidate # 2.218 * * * * [progress]: [ 63 / 71 ] simplifiying candidate # 2.218 * * * * [progress]: [ 64 / 71 ] simplifiying candidate # 2.218 * * * * [progress]: [ 65 / 71 ] simplifiying candidate # 2.218 * * * * [progress]: [ 66 / 71 ] simplifiying candidate # 2.218 * * * * [progress]: [ 67 / 71 ] simplifiying candidate # 2.218 * * * * [progress]: [ 68 / 71 ] simplifiying candidate # 2.218 * * * * [progress]: [ 69 / 71 ] simplifiying candidate # 2.218 * * * * [progress]: [ 70 / 71 ] simplifiying candidate # 2.218 * * * * [progress]: [ 71 / 71 ] simplifiying candidate # 2.219 * [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)) (log (cos (- lambda1 lambda2))) (exp (cos (- lambda1 lambda2))) (* (cbrt (cos (- lambda1 lambda2))) (cbrt (cos (- lambda1 lambda2)))) (cbrt (cos (- lambda1 lambda2))) (* (* (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2))) (cos (- lambda1 lambda2))) (sqrt (cos (- lambda1 lambda2))) (sqrt (cos (- lambda1 lambda2))) (real->posit16 (cos (- lambda1 lambda2))) (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (real->posit16 (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) (+ (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (log R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (* R R) R)) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) 1) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) (real->posit16 (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)) (+ (log (sin phi1)) (log (sin phi2))) (log (* (sin phi1) (sin phi2))) (exp (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2))) (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (sin phi1) (sqrt (sin phi2))) (* (sin phi1) 1) (* (cbrt (sin phi1)) (sin phi2)) (* (sqrt (sin phi1)) (sin phi2)) (* (sin phi1) (sin phi2)) (real->posit16 (* (sin phi1) (sin phi2))) (- (+ 1 (* lambda2 lambda1)) (* 1/2 (pow lambda1 2))) (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2)) (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) (* phi1 phi2) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) 2.222 * * [simplify]: iteration 0: 115 enodes 2.265 * * [simplify]: iteration 1: 211 enodes 2.327 * * [simplify]: iteration 2: 432 enodes 2.532 * * [simplify]: iteration 3: 1060 enodes 3.159 * * [simplify]: iteration 4: 2710 enodes 4.361 * * [simplify]: iteration complete: 5008 enodes 4.361 * * [simplify]: Extracting #0: cost 51 inf + 0 4.362 * * [simplify]: Extracting #1: cost 354 inf + 0 4.365 * * [simplify]: Extracting #2: cost 797 inf + 2871 4.375 * * [simplify]: Extracting #3: cost 782 inf + 36821 4.404 * * [simplify]: Extracting #4: cost 510 inf + 98400 4.436 * * [simplify]: Extracting #5: cost 407 inf + 119087 4.486 * * [simplify]: Extracting #6: cost 387 inf + 126383 4.566 * * [simplify]: Extracting #7: cost 189 inf + 272322 4.689 * * [simplify]: Extracting #8: cost 18 inf + 401298 4.824 * * [simplify]: Extracting #9: cost 0 inf + 414945 4.960 * * [simplify]: Extracting #10: cost 0 inf + 414865 5.049 * [simplify]: Simplified to: (* (cos lambda1) (cos lambda2)) (* (sin (- lambda2)) (sin lambda1)) (* (cos lambda1) (cos lambda2)) (* (sin (- lambda2)) (sin lambda1)) (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)) (log (cos (- lambda1 lambda2))) (exp (cos (- lambda1 lambda2))) (* (cbrt (cos (- lambda1 lambda2))) (cbrt (cos (- lambda1 lambda2)))) (cbrt (cos (- lambda1 lambda2))) (* (cos (- lambda1 lambda2)) (* (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2)))) (sqrt (cos (- lambda1 lambda2))) (sqrt (cos (- lambda1 lambda2))) (real->posit16 (cos (- lambda1 lambda2))) (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (cos phi2) (* (cos (- lambda1 lambda2)) (cos phi1))))) (log (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi2) (* (cos (- lambda1 lambda2)) (cos phi1)))))) (exp (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi2) (* (cos (- lambda1 lambda2)) (cos phi1)))))) (* (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi2) (* (cos (- lambda1 lambda2)) (cos phi1)))))) (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi2) (* (cos (- lambda1 lambda2)) (cos phi1))))))) (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi2) (* (cos (- lambda1 lambda2)) (cos phi1)))))) (* (* (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi2) (* (cos (- lambda1 lambda2)) (cos phi1))))) (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi2) (* (cos (- lambda1 lambda2)) (cos phi1)))))) (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi2) (* (cos (- lambda1 lambda2)) (cos phi1)))))) (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi2) (* (cos (- lambda1 lambda2)) (cos phi1)))))) (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi2) (* (cos (- lambda1 lambda2)) (cos phi1)))))) (real->posit16 (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi2) (* (cos (- lambda1 lambda2)) (cos phi1)))))) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi2) (* (cos (- lambda1 lambda2)) (cos phi1)))))) (log (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi2) (* (cos (- lambda1 lambda2)) (cos phi1))))))) (log (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi2) (* (cos (- lambda1 lambda2)) (cos phi1))))))) (exp (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi2) (* (cos (- lambda1 lambda2)) (cos phi1))))))) (* (* (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi2) (* (cos (- lambda1 lambda2)) (cos phi1)))))) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi2) (* (cos (- lambda1 lambda2)) (cos phi1))))))) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi2) (* (cos (- lambda1 lambda2)) (cos phi1))))))) (* (cbrt (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi2) (* (cos (- lambda1 lambda2)) (cos phi1))))))) (cbrt (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi2) (* (cos (- lambda1 lambda2)) (cos phi1)))))))) (cbrt (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi2) (* (cos (- lambda1 lambda2)) (cos phi1))))))) (* (* (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi2) (* (cos (- lambda1 lambda2)) (cos phi1)))))) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi2) (* (cos (- lambda1 lambda2)) (cos phi1))))))) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi2) (* (cos (- lambda1 lambda2)) (cos phi1))))))) (sqrt (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi2) (* (cos (- lambda1 lambda2)) (cos phi1))))))) (sqrt (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi2) (* (cos (- lambda1 lambda2)) (cos phi1))))))) (* (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi2) (* (cos (- lambda1 lambda2)) (cos phi1)))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi2) (* (cos (- lambda1 lambda2)) (cos phi1)))))) (sqrt R)) (* (cbrt R) (* (cbrt R) (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi2) (* (cos (- lambda1 lambda2)) (cos phi1))))))) (* (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi2) (* (cos (- lambda1 lambda2)) (cos phi1))))) (sqrt R)) (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi2) (* (cos (- lambda1 lambda2)) (cos phi1))))) (* (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi2) (* (cos (- lambda1 lambda2)) (cos phi1)))))) R) (* (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi2) (* (cos (- lambda1 lambda2)) (cos phi1)))))) R) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi2) (* (cos (- lambda1 lambda2)) (cos phi1)))))) (real->posit16 (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi2) (* (cos (- lambda1 lambda2)) (cos phi1))))))) (- (cos (- phi1 phi2)) (cos (+ phi2 phi1))) (* (sin phi2) (sin phi1)) (log (* (sin phi2) (sin phi1))) (log (* (sin phi2) (sin phi1))) (exp (* (sin phi2) (sin phi1))) (* (* (* (sin phi2) (sin phi1)) (* (sin phi2) (sin phi1))) (* (sin phi2) (sin phi1))) (* (cbrt (* (sin phi2) (sin phi1))) (cbrt (* (sin phi2) (sin phi1)))) (cbrt (* (sin phi2) (sin phi1))) (* (* (* (sin phi2) (sin phi1)) (* (sin phi2) (sin phi1))) (* (sin phi2) (sin phi1))) (sqrt (* (sin phi2) (sin phi1))) (sqrt (* (sin phi2) (sin phi1))) (* (sqrt (sin phi2)) (sqrt (sin phi1))) (* (sqrt (sin phi2)) (sqrt (sin phi1))) (* (* (cbrt (sin phi2)) (sin phi1)) (cbrt (sin phi2))) (* (sqrt (sin phi2)) (sin phi1)) (sin phi1) (* (cbrt (sin phi1)) (sin phi2)) (* (sqrt (sin phi1)) (sin phi2)) (* (sin phi2) (sin phi1)) (real->posit16 (* (sin phi2) (sin phi1))) (+ 1 (* (- lambda2 (/ lambda1 2)) lambda1)) (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2)) (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi2) (* (cos (- lambda1 lambda2)) (cos phi1))))) (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi2) (* (cos (- lambda1 lambda2)) (cos phi1))))) (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi2) (* (cos (- lambda1 lambda2)) (cos phi1))))) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi2) (* (cos (- lambda1 lambda2)) (cos phi1)))))) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi2) (* (cos (- lambda1 lambda2)) (cos phi1)))))) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi2) (* (cos (- lambda1 lambda2)) (cos phi1)))))) (* phi2 phi1) (* (sin phi2) (sin phi1)) (* (sin phi2) (sin phi1)) 5.054 * * * [progress]: adding candidates to table 5.642 * * [progress]: iteration 2 / 4 5.642 * * * [progress]: picking best candidate 5.778 * * * * [pick]: Picked # 5.778 * * * [progress]: localizing error 5.891 * * * [progress]: generating rewritten candidates 5.891 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 5.895 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 5.910 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 5.935 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 2 2) 5.961 * * * [progress]: generating series expansions 5.961 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 5.962 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 5.962 * [approximate]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in (phi1 phi2 lambda1 lambda2) around 0 5.962 * [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 5.963 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 5.963 * [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 5.963 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 5.963 * [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 5.964 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 5.964 * [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 5.964 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 5.964 * [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 5.965 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 5.965 * [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 5.965 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 5.965 * [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 5.966 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 5.966 * [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 5.967 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 5.967 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 5.967 * [taylor]: Taking taylor expansion of 0 in phi2 5.967 * [backup-simplify]: Simplify 0 into 0 5.967 * [taylor]: Taking taylor expansion of 0 in lambda1 5.967 * [backup-simplify]: Simplify 0 into 0 5.967 * [taylor]: Taking taylor expansion of 0 in lambda2 5.967 * [backup-simplify]: Simplify 0 into 0 5.968 * [backup-simplify]: Simplify 0 into 0 5.968 * [taylor]: Taking taylor expansion of 0 in lambda1 5.968 * [backup-simplify]: Simplify 0 into 0 5.968 * [taylor]: Taking taylor expansion of 0 in lambda2 5.968 * [backup-simplify]: Simplify 0 into 0 5.968 * [backup-simplify]: Simplify 0 into 0 5.968 * [taylor]: Taking taylor expansion of 0 in lambda2 5.968 * [backup-simplify]: Simplify 0 into 0 5.968 * [backup-simplify]: Simplify 0 into 0 5.968 * [backup-simplify]: Simplify 0 into 0 5.968 * [taylor]: Taking taylor expansion of 0 in phi2 5.968 * [backup-simplify]: Simplify 0 into 0 5.968 * [taylor]: Taking taylor expansion of 0 in lambda1 5.968 * [backup-simplify]: Simplify 0 into 0 5.968 * [taylor]: Taking taylor expansion of 0 in lambda2 5.968 * [backup-simplify]: Simplify 0 into 0 5.968 * [backup-simplify]: Simplify 0 into 0 5.968 * [taylor]: Taking taylor expansion of 0 in lambda1 5.968 * [backup-simplify]: Simplify 0 into 0 5.968 * [taylor]: Taking taylor expansion of 0 in lambda2 5.968 * [backup-simplify]: Simplify 0 into 0 5.968 * [backup-simplify]: Simplify 0 into 0 5.969 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 5.969 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 5.970 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in (phi1 phi2 lambda1 lambda2) around 0 5.970 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2 5.970 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 5.970 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1 5.971 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 5.971 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2 5.972 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 5.972 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1 5.973 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 5.973 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1 5.973 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 5.974 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2 5.974 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 5.974 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1 5.975 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 5.975 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2 5.976 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 5.977 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 5.977 * [taylor]: Taking taylor expansion of 0 in phi2 5.977 * [backup-simplify]: Simplify 0 into 0 5.977 * [taylor]: Taking taylor expansion of 0 in lambda1 5.977 * [backup-simplify]: Simplify 0 into 0 5.977 * [taylor]: Taking taylor expansion of 0 in lambda2 5.977 * [backup-simplify]: Simplify 0 into 0 5.977 * [backup-simplify]: Simplify 0 into 0 5.977 * [taylor]: Taking taylor expansion of 0 in lambda1 5.977 * [backup-simplify]: Simplify 0 into 0 5.977 * [taylor]: Taking taylor expansion of 0 in lambda2 5.977 * [backup-simplify]: Simplify 0 into 0 5.977 * [backup-simplify]: Simplify 0 into 0 5.977 * [taylor]: Taking taylor expansion of 0 in lambda2 5.977 * [backup-simplify]: Simplify 0 into 0 5.977 * [backup-simplify]: Simplify 0 into 0 5.978 * [backup-simplify]: Simplify 0 into 0 5.978 * [taylor]: Taking taylor expansion of 0 in phi2 5.978 * [backup-simplify]: Simplify 0 into 0 5.978 * [taylor]: Taking taylor expansion of 0 in lambda1 5.978 * [backup-simplify]: Simplify 0 into 0 5.978 * [taylor]: Taking taylor expansion of 0 in lambda2 5.978 * [backup-simplify]: Simplify 0 into 0 5.978 * [backup-simplify]: Simplify 0 into 0 5.978 * [taylor]: Taking taylor expansion of 0 in lambda1 5.978 * [backup-simplify]: Simplify 0 into 0 5.978 * [taylor]: Taking taylor expansion of 0 in lambda2 5.978 * [backup-simplify]: Simplify 0 into 0 5.978 * [backup-simplify]: Simplify 0 into 0 5.979 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 (/ 1 phi2))) (* (sin (/ 1 (/ 1 lambda2))) (* (sin (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1)))))) (+ (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1))))))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 5.980 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 5.980 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in (phi1 phi2 lambda1 lambda2) around 0 5.980 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda2 5.981 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 5.981 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1 5.985 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 5.985 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi2 5.986 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 5.986 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1 5.987 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 5.987 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1 5.987 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 5.988 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in phi2 5.988 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 5.988 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1 5.989 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 5.989 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in lambda2 5.990 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 5.991 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 5.991 * [taylor]: Taking taylor expansion of 0 in phi2 5.991 * [backup-simplify]: Simplify 0 into 0 5.991 * [taylor]: Taking taylor expansion of 0 in lambda1 5.991 * [backup-simplify]: Simplify 0 into 0 5.991 * [taylor]: Taking taylor expansion of 0 in lambda2 5.991 * [backup-simplify]: Simplify 0 into 0 5.991 * [backup-simplify]: Simplify 0 into 0 5.991 * [taylor]: Taking taylor expansion of 0 in lambda1 5.991 * [backup-simplify]: Simplify 0 into 0 5.991 * [taylor]: Taking taylor expansion of 0 in lambda2 5.991 * [backup-simplify]: Simplify 0 into 0 5.991 * [backup-simplify]: Simplify 0 into 0 5.991 * [taylor]: Taking taylor expansion of 0 in lambda2 5.991 * [backup-simplify]: Simplify 0 into 0 5.992 * [backup-simplify]: Simplify 0 into 0 5.992 * [backup-simplify]: Simplify 0 into 0 5.992 * [taylor]: Taking taylor expansion of 0 in phi2 5.992 * [backup-simplify]: Simplify 0 into 0 5.992 * [taylor]: Taking taylor expansion of 0 in lambda1 5.992 * [backup-simplify]: Simplify 0 into 0 5.992 * [taylor]: Taking taylor expansion of 0 in lambda2 5.992 * [backup-simplify]: Simplify 0 into 0 5.992 * [backup-simplify]: Simplify 0 into 0 5.992 * [taylor]: Taking taylor expansion of 0 in lambda1 5.992 * [backup-simplify]: Simplify 0 into 0 5.992 * [taylor]: Taking taylor expansion of 0 in lambda2 5.992 * [backup-simplify]: Simplify 0 into 0 5.992 * [backup-simplify]: Simplify 0 into 0 5.993 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (sin (/ -1 (/ 1 (- lambda2))))))) (+ (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- lambda2)))) (cos (/ -1 (/ 1 (- phi2)))))))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 5.993 * * * * [progress]: [ 2 / 4 ] generating series at (2) 5.994 * [backup-simplify]: Simplify (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 5.994 * [approximate]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in (phi1 phi2 lambda1 lambda2 R) around 0 5.994 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in R 5.994 * [taylor]: Taking taylor expansion of R in R 5.994 * [backup-simplify]: Simplify 0 into 0 5.994 * [backup-simplify]: Simplify 1 into 1 5.994 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in R 5.994 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 5.994 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda2 5.994 * [taylor]: Taking taylor expansion of R in lambda2 5.994 * [backup-simplify]: Simplify R into R 5.994 * [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 5.995 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 5.995 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda1 5.995 * [taylor]: Taking taylor expansion of R in lambda1 5.995 * [backup-simplify]: Simplify R into R 5.995 * [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 5.996 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 5.996 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi2 5.996 * [taylor]: Taking taylor expansion of R in phi2 5.996 * [backup-simplify]: Simplify R into R 5.996 * [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 5.996 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 5.996 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi1 5.996 * [taylor]: Taking taylor expansion of R in phi1 5.996 * [backup-simplify]: Simplify R into R 5.997 * [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 5.997 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 5.997 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi1 5.997 * [taylor]: Taking taylor expansion of R in phi1 5.997 * [backup-simplify]: Simplify R into R 5.997 * [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 5.998 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 5.998 * [backup-simplify]: Simplify (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 5.998 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi2 5.999 * [taylor]: Taking taylor expansion of R in phi2 5.999 * [backup-simplify]: Simplify R into R 5.999 * [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 5.999 * [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))))) 6.000 * [backup-simplify]: Simplify (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 6.000 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda1 6.000 * [taylor]: Taking taylor expansion of R in lambda1 6.000 * [backup-simplify]: Simplify R into R 6.000 * [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 6.000 * [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))))) 6.001 * [backup-simplify]: Simplify (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 6.001 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda2 6.001 * [taylor]: Taking taylor expansion of R in lambda2 6.001 * [backup-simplify]: Simplify R into R 6.001 * [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 6.002 * [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))))) 6.002 * [backup-simplify]: Simplify (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 6.002 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in R 6.002 * [taylor]: Taking taylor expansion of R in R 6.002 * [backup-simplify]: Simplify 0 into 0 6.002 * [backup-simplify]: Simplify 1 into 1 6.002 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in R 6.003 * [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))))) 6.003 * [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 6.003 * [backup-simplify]: Simplify 0 into 0 6.004 * [backup-simplify]: Simplify (+ (* R 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into 0 6.004 * [taylor]: Taking taylor expansion of 0 in phi2 6.004 * [backup-simplify]: Simplify 0 into 0 6.004 * [taylor]: Taking taylor expansion of 0 in lambda1 6.004 * [backup-simplify]: Simplify 0 into 0 6.004 * [taylor]: Taking taylor expansion of 0 in lambda2 6.004 * [backup-simplify]: Simplify 0 into 0 6.005 * [taylor]: Taking taylor expansion of 0 in R 6.005 * [backup-simplify]: Simplify 0 into 0 6.005 * [backup-simplify]: Simplify 0 into 0 6.005 * [backup-simplify]: Simplify (+ (* R 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into 0 6.005 * [taylor]: Taking taylor expansion of 0 in lambda1 6.005 * [backup-simplify]: Simplify 0 into 0 6.005 * [taylor]: Taking taylor expansion of 0 in lambda2 6.005 * [backup-simplify]: Simplify 0 into 0 6.005 * [taylor]: Taking taylor expansion of 0 in R 6.005 * [backup-simplify]: Simplify 0 into 0 6.005 * [backup-simplify]: Simplify 0 into 0 6.006 * [backup-simplify]: Simplify (+ (* R 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into 0 6.006 * [taylor]: Taking taylor expansion of 0 in lambda2 6.006 * [backup-simplify]: Simplify 0 into 0 6.006 * [taylor]: Taking taylor expansion of 0 in R 6.006 * [backup-simplify]: Simplify 0 into 0 6.006 * [backup-simplify]: Simplify 0 into 0 6.007 * [backup-simplify]: Simplify (+ (* R 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into 0 6.007 * [taylor]: Taking taylor expansion of 0 in R 6.007 * [backup-simplify]: Simplify 0 into 0 6.007 * [backup-simplify]: Simplify 0 into 0 6.008 * [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))))) 6.009 * [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))))) 6.010 * [backup-simplify]: Simplify (+ (* R 0) (+ (* 0 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))))) into 0 6.010 * [taylor]: Taking taylor expansion of 0 in phi2 6.010 * [backup-simplify]: Simplify 0 into 0 6.010 * [taylor]: Taking taylor expansion of 0 in lambda1 6.010 * [backup-simplify]: Simplify 0 into 0 6.010 * [taylor]: Taking taylor expansion of 0 in lambda2 6.010 * [backup-simplify]: Simplify 0 into 0 6.010 * [taylor]: Taking taylor expansion of 0 in R 6.010 * [backup-simplify]: Simplify 0 into 0 6.010 * [backup-simplify]: Simplify 0 into 0 6.010 * [taylor]: Taking taylor expansion of 0 in lambda1 6.011 * [backup-simplify]: Simplify 0 into 0 6.011 * [taylor]: Taking taylor expansion of 0 in lambda2 6.011 * [backup-simplify]: Simplify 0 into 0 6.011 * [taylor]: Taking taylor expansion of 0 in R 6.011 * [backup-simplify]: Simplify 0 into 0 6.011 * [backup-simplify]: Simplify 0 into 0 6.012 * [backup-simplify]: Simplify (+ (* R 0) (+ (* 0 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))))) into 0 6.012 * [taylor]: Taking taylor expansion of 0 in lambda1 6.012 * [backup-simplify]: Simplify 0 into 0 6.012 * [taylor]: Taking taylor expansion of 0 in lambda2 6.012 * [backup-simplify]: Simplify 0 into 0 6.012 * [taylor]: Taking taylor expansion of 0 in R 6.012 * [backup-simplify]: Simplify 0 into 0 6.012 * [backup-simplify]: Simplify 0 into 0 6.012 * [taylor]: Taking taylor expansion of 0 in lambda2 6.012 * [backup-simplify]: Simplify 0 into 0 6.012 * [taylor]: Taking taylor expansion of 0 in R 6.012 * [backup-simplify]: Simplify 0 into 0 6.012 * [backup-simplify]: Simplify 0 into 0 6.012 * [taylor]: Taking taylor expansion of 0 in lambda2 6.012 * [backup-simplify]: Simplify 0 into 0 6.012 * [taylor]: Taking taylor expansion of 0 in R 6.012 * [backup-simplify]: Simplify 0 into 0 6.012 * [backup-simplify]: Simplify 0 into 0 6.014 * [backup-simplify]: Simplify (+ (* R 0) (+ (* 0 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))))) into 0 6.014 * [taylor]: Taking taylor expansion of 0 in lambda2 6.014 * [backup-simplify]: Simplify 0 into 0 6.014 * [taylor]: Taking taylor expansion of 0 in R 6.014 * [backup-simplify]: Simplify 0 into 0 6.014 * [backup-simplify]: Simplify 0 into 0 6.015 * [backup-simplify]: Simplify (* (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (* R (* 1 (* 1 (* 1 1))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 6.016 * [backup-simplify]: Simplify (* (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))))) (/ 1 R)) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) 6.016 * [approximate]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 6.016 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in R 6.016 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in R 6.017 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 6.017 * [taylor]: Taking taylor expansion of R in R 6.017 * [backup-simplify]: Simplify 0 into 0 6.017 * [backup-simplify]: Simplify 1 into 1 6.018 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 1) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 6.018 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in lambda2 6.018 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2 6.019 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 6.019 * [taylor]: Taking taylor expansion of R in lambda2 6.019 * [backup-simplify]: Simplify R into R 6.020 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) 6.020 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in lambda1 6.020 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1 6.021 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 6.021 * [taylor]: Taking taylor expansion of R in lambda1 6.021 * [backup-simplify]: Simplify R into R 6.022 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) 6.022 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in phi2 6.022 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2 6.023 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 6.023 * [taylor]: Taking taylor expansion of R in phi2 6.023 * [backup-simplify]: Simplify R into R 6.024 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) 6.024 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in phi1 6.024 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1 6.024 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 6.024 * [taylor]: Taking taylor expansion of R in phi1 6.024 * [backup-simplify]: Simplify R into R 6.025 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) 6.025 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in phi1 6.025 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1 6.026 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 6.026 * [taylor]: Taking taylor expansion of R in phi1 6.026 * [backup-simplify]: Simplify R into R 6.027 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) 6.027 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in phi2 6.027 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2 6.028 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 6.028 * [taylor]: Taking taylor expansion of R in phi2 6.028 * [backup-simplify]: Simplify R into R 6.029 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) 6.029 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in lambda1 6.029 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1 6.030 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 6.030 * [taylor]: Taking taylor expansion of R in lambda1 6.030 * [backup-simplify]: Simplify R into R 6.031 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) 6.031 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in lambda2 6.031 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2 6.032 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 6.032 * [taylor]: Taking taylor expansion of R in lambda2 6.032 * [backup-simplify]: Simplify R into R 6.032 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) 6.032 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in R 6.033 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in R 6.033 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 6.033 * [taylor]: Taking taylor expansion of R in R 6.033 * [backup-simplify]: Simplify 0 into 0 6.033 * [backup-simplify]: Simplify 1 into 1 6.034 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 1) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 6.035 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 6.036 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)))) into 0 6.036 * [taylor]: Taking taylor expansion of 0 in phi2 6.036 * [backup-simplify]: Simplify 0 into 0 6.036 * [taylor]: Taking taylor expansion of 0 in lambda1 6.036 * [backup-simplify]: Simplify 0 into 0 6.036 * [taylor]: Taking taylor expansion of 0 in lambda2 6.036 * [backup-simplify]: Simplify 0 into 0 6.036 * [taylor]: Taking taylor expansion of 0 in R 6.036 * [backup-simplify]: Simplify 0 into 0 6.038 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)))) into 0 6.038 * [taylor]: Taking taylor expansion of 0 in lambda1 6.038 * [backup-simplify]: Simplify 0 into 0 6.038 * [taylor]: Taking taylor expansion of 0 in lambda2 6.038 * [backup-simplify]: Simplify 0 into 0 6.038 * [taylor]: Taking taylor expansion of 0 in R 6.038 * [backup-simplify]: Simplify 0 into 0 6.039 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)))) into 0 6.039 * [taylor]: Taking taylor expansion of 0 in lambda2 6.039 * [backup-simplify]: Simplify 0 into 0 6.039 * [taylor]: Taking taylor expansion of 0 in R 6.039 * [backup-simplify]: Simplify 0 into 0 6.040 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)))) into 0 6.040 * [taylor]: Taking taylor expansion of 0 in R 6.040 * [backup-simplify]: Simplify 0 into 0 6.042 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) (/ 0 1)))) into 0 6.042 * [backup-simplify]: Simplify 0 into 0 6.044 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 6.044 * [taylor]: Taking taylor expansion of 0 in phi2 6.044 * [backup-simplify]: Simplify 0 into 0 6.044 * [taylor]: Taking taylor expansion of 0 in lambda1 6.044 * [backup-simplify]: Simplify 0 into 0 6.044 * [taylor]: Taking taylor expansion of 0 in lambda2 6.044 * [backup-simplify]: Simplify 0 into 0 6.044 * [taylor]: Taking taylor expansion of 0 in R 6.044 * [backup-simplify]: Simplify 0 into 0 6.044 * [taylor]: Taking taylor expansion of 0 in lambda1 6.044 * [backup-simplify]: Simplify 0 into 0 6.044 * [taylor]: Taking taylor expansion of 0 in lambda2 6.044 * [backup-simplify]: Simplify 0 into 0 6.044 * [taylor]: Taking taylor expansion of 0 in R 6.044 * [backup-simplify]: Simplify 0 into 0 6.045 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 6.045 * [taylor]: Taking taylor expansion of 0 in lambda1 6.045 * [backup-simplify]: Simplify 0 into 0 6.045 * [taylor]: Taking taylor expansion of 0 in lambda2 6.045 * [backup-simplify]: Simplify 0 into 0 6.045 * [taylor]: Taking taylor expansion of 0 in R 6.045 * [backup-simplify]: Simplify 0 into 0 6.045 * [taylor]: Taking taylor expansion of 0 in lambda2 6.045 * [backup-simplify]: Simplify 0 into 0 6.045 * [taylor]: Taking taylor expansion of 0 in R 6.045 * [backup-simplify]: Simplify 0 into 0 6.045 * [taylor]: Taking taylor expansion of 0 in lambda2 6.045 * [backup-simplify]: Simplify 0 into 0 6.045 * [taylor]: Taking taylor expansion of 0 in R 6.045 * [backup-simplify]: Simplify 0 into 0 6.046 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 6.047 * [taylor]: Taking taylor expansion of 0 in lambda2 6.047 * [backup-simplify]: Simplify 0 into 0 6.047 * [taylor]: Taking taylor expansion of 0 in R 6.047 * [backup-simplify]: Simplify 0 into 0 6.047 * [taylor]: Taking taylor expansion of 0 in R 6.047 * [backup-simplify]: Simplify 0 into 0 6.047 * [taylor]: Taking taylor expansion of 0 in R 6.047 * [backup-simplify]: Simplify 0 into 0 6.047 * [taylor]: Taking taylor expansion of 0 in R 6.047 * [backup-simplify]: Simplify 0 into 0 6.048 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 6.048 * [taylor]: Taking taylor expansion of 0 in R 6.048 * [backup-simplify]: Simplify 0 into 0 6.048 * [backup-simplify]: Simplify 0 into 0 6.048 * [backup-simplify]: Simplify 0 into 0 6.048 * [backup-simplify]: Simplify 0 into 0 6.048 * [backup-simplify]: Simplify 0 into 0 6.050 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.051 * [backup-simplify]: Simplify 0 into 0 6.052 * [backup-simplify]: Simplify (* (acos (+ (* (cos (/ 1 (/ 1 phi2))) (* (sin (/ 1 (/ 1 lambda2))) (* (sin (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1)))))) (+ (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1))))))))) (* (/ 1 (/ 1 R)) (* 1 (* 1 (* 1 1))))) into (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) 6.053 * [backup-simplify]: Simplify (* (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) (/ 1 (- R))) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) 6.053 * [approximate]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in (phi1 phi2 lambda1 lambda2 R) around 0 6.053 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in R 6.053 * [taylor]: Taking taylor expansion of -1 in R 6.053 * [backup-simplify]: Simplify -1 into -1 6.053 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in R 6.053 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in R 6.054 * [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)))))))) 6.054 * [taylor]: Taking taylor expansion of R in R 6.054 * [backup-simplify]: Simplify 0 into 0 6.054 * [backup-simplify]: Simplify 1 into 1 6.055 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 1) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 6.055 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in lambda2 6.055 * [taylor]: Taking taylor expansion of -1 in lambda2 6.055 * [backup-simplify]: Simplify -1 into -1 6.055 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in lambda2 6.055 * [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 6.056 * [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)))))))) 6.056 * [taylor]: Taking taylor expansion of R in lambda2 6.056 * [backup-simplify]: Simplify R into R 6.057 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) 6.057 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in lambda1 6.057 * [taylor]: Taking taylor expansion of -1 in lambda1 6.057 * [backup-simplify]: Simplify -1 into -1 6.057 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in lambda1 6.057 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1 6.058 * [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)))))))) 6.058 * [taylor]: Taking taylor expansion of R in lambda1 6.058 * [backup-simplify]: Simplify R into R 6.059 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) 6.059 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in phi2 6.059 * [taylor]: Taking taylor expansion of -1 in phi2 6.059 * [backup-simplify]: Simplify -1 into -1 6.059 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in phi2 6.059 * [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 6.060 * [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)))))))) 6.060 * [taylor]: Taking taylor expansion of R in phi2 6.060 * [backup-simplify]: Simplify R into R 6.060 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) 6.061 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in phi1 6.061 * [taylor]: Taking taylor expansion of -1 in phi1 6.061 * [backup-simplify]: Simplify -1 into -1 6.061 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in phi1 6.061 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1 6.061 * [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)))))))) 6.061 * [taylor]: Taking taylor expansion of R in phi1 6.062 * [backup-simplify]: Simplify R into R 6.062 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) 6.062 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in phi1 6.062 * [taylor]: Taking taylor expansion of -1 in phi1 6.062 * [backup-simplify]: Simplify -1 into -1 6.062 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in phi1 6.063 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1 6.063 * [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)))))))) 6.063 * [taylor]: Taking taylor expansion of R in phi1 6.063 * [backup-simplify]: Simplify R into R 6.064 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) 6.065 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)) 6.065 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)) in phi2 6.065 * [taylor]: Taking taylor expansion of -1 in phi2 6.065 * [backup-simplify]: Simplify -1 into -1 6.065 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) in phi2 6.065 * [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 6.066 * [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)))))))) 6.066 * [taylor]: Taking taylor expansion of R in phi2 6.066 * [backup-simplify]: Simplify R into R 6.067 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) 6.068 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) 6.068 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in lambda1 6.068 * [taylor]: Taking taylor expansion of -1 in lambda1 6.068 * [backup-simplify]: Simplify -1 into -1 6.068 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in lambda1 6.068 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1 6.069 * [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)))))))) 6.069 * [taylor]: Taking taylor expansion of R in lambda1 6.069 * [backup-simplify]: Simplify R into R 6.070 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) 6.071 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)) 6.071 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)) in lambda2 6.071 * [taylor]: Taking taylor expansion of -1 in lambda2 6.071 * [backup-simplify]: Simplify -1 into -1 6.071 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) in lambda2 6.071 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in lambda2 6.072 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 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)))))))) 6.072 * [taylor]: Taking taylor expansion of R in lambda2 6.072 * [backup-simplify]: Simplify R into R 6.073 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) 6.073 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) 6.074 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in R 6.074 * [taylor]: Taking taylor expansion of -1 in R 6.074 * [backup-simplify]: Simplify -1 into -1 6.074 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in R 6.074 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in R 6.074 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 6.074 * [taylor]: Taking taylor expansion of R in R 6.075 * [backup-simplify]: Simplify 0 into 0 6.075 * [backup-simplify]: Simplify 1 into 1 6.075 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 1) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 6.076 * [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))))))))) 6.077 * [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))))))))) 6.078 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) (/ 0 R)))) into 0 6.079 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R))) into 0 6.079 * [taylor]: Taking taylor expansion of 0 in phi2 6.079 * [backup-simplify]: Simplify 0 into 0 6.079 * [taylor]: Taking taylor expansion of 0 in lambda1 6.079 * [backup-simplify]: Simplify 0 into 0 6.079 * [taylor]: Taking taylor expansion of 0 in lambda2 6.079 * [backup-simplify]: Simplify 0 into 0 6.079 * [taylor]: Taking taylor expansion of 0 in R 6.079 * [backup-simplify]: Simplify 0 into 0 6.080 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) (/ 0 R)))) into 0 6.081 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R))) into 0 6.081 * [taylor]: Taking taylor expansion of 0 in lambda1 6.081 * [backup-simplify]: Simplify 0 into 0 6.081 * [taylor]: Taking taylor expansion of 0 in lambda2 6.081 * [backup-simplify]: Simplify 0 into 0 6.081 * [taylor]: Taking taylor expansion of 0 in R 6.081 * [backup-simplify]: Simplify 0 into 0 6.081 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) (/ 0 R)))) into 0 6.082 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R))) into 0 6.082 * [taylor]: Taking taylor expansion of 0 in lambda2 6.082 * [backup-simplify]: Simplify 0 into 0 6.082 * [taylor]: Taking taylor expansion of 0 in R 6.082 * [backup-simplify]: Simplify 0 into 0 6.083 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) (/ 0 R)))) into 0 6.083 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R))) into 0 6.083 * [taylor]: Taking taylor expansion of 0 in R 6.084 * [backup-simplify]: Simplify 0 into 0 6.084 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) (/ 0 1)))) into 0 6.085 * [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 6.085 * [backup-simplify]: Simplify 0 into 0 6.086 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 6.087 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)))) into 0 6.087 * [taylor]: Taking taylor expansion of 0 in phi2 6.087 * [backup-simplify]: Simplify 0 into 0 6.087 * [taylor]: Taking taylor expansion of 0 in lambda1 6.087 * [backup-simplify]: Simplify 0 into 0 6.087 * [taylor]: Taking taylor expansion of 0 in lambda2 6.087 * [backup-simplify]: Simplify 0 into 0 6.087 * [taylor]: Taking taylor expansion of 0 in R 6.087 * [backup-simplify]: Simplify 0 into 0 6.087 * [taylor]: Taking taylor expansion of 0 in lambda1 6.087 * [backup-simplify]: Simplify 0 into 0 6.087 * [taylor]: Taking taylor expansion of 0 in lambda2 6.087 * [backup-simplify]: Simplify 0 into 0 6.087 * [taylor]: Taking taylor expansion of 0 in R 6.087 * [backup-simplify]: Simplify 0 into 0 6.087 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 6.088 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)))) into 0 6.088 * [taylor]: Taking taylor expansion of 0 in lambda1 6.088 * [backup-simplify]: Simplify 0 into 0 6.088 * [taylor]: Taking taylor expansion of 0 in lambda2 6.089 * [backup-simplify]: Simplify 0 into 0 6.089 * [taylor]: Taking taylor expansion of 0 in R 6.089 * [backup-simplify]: Simplify 0 into 0 6.089 * [taylor]: Taking taylor expansion of 0 in lambda2 6.089 * [backup-simplify]: Simplify 0 into 0 6.089 * [taylor]: Taking taylor expansion of 0 in R 6.089 * [backup-simplify]: Simplify 0 into 0 6.089 * [taylor]: Taking taylor expansion of 0 in lambda2 6.089 * [backup-simplify]: Simplify 0 into 0 6.089 * [taylor]: Taking taylor expansion of 0 in R 6.089 * [backup-simplify]: Simplify 0 into 0 6.089 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 6.090 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)))) into 0 6.090 * [taylor]: Taking taylor expansion of 0 in lambda2 6.090 * [backup-simplify]: Simplify 0 into 0 6.090 * [taylor]: Taking taylor expansion of 0 in R 6.090 * [backup-simplify]: Simplify 0 into 0 6.090 * [taylor]: Taking taylor expansion of 0 in R 6.090 * [backup-simplify]: Simplify 0 into 0 6.090 * [taylor]: Taking taylor expansion of 0 in R 6.090 * [backup-simplify]: Simplify 0 into 0 6.090 * [taylor]: Taking taylor expansion of 0 in R 6.090 * [backup-simplify]: Simplify 0 into 0 6.091 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 6.092 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)))) into 0 6.092 * [taylor]: Taking taylor expansion of 0 in R 6.092 * [backup-simplify]: Simplify 0 into 0 6.092 * [backup-simplify]: Simplify 0 into 0 6.092 * [backup-simplify]: Simplify 0 into 0 6.092 * [backup-simplify]: Simplify 0 into 0 6.092 * [backup-simplify]: Simplify 0 into 0 6.093 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.094 * [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 6.094 * [backup-simplify]: Simplify 0 into 0 6.095 * [backup-simplify]: Simplify (* (* -1 (acos (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (sin (/ -1 (/ 1 (- lambda2))))))) (+ (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (cos (/ -1 (/ 1 (- lambda2))))))))))) (* (/ 1 (/ 1 (- R))) (* 1 (* 1 (* 1 1))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 6.095 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 6.095 * [backup-simplify]: Simplify (* (sin phi1) (sin phi2)) into (* (sin phi1) (sin phi2)) 6.095 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 6.095 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 6.095 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 6.095 * [taylor]: Taking taylor expansion of phi1 in phi2 6.095 * [backup-simplify]: Simplify phi1 into phi1 6.095 * [backup-simplify]: Simplify (sin phi1) into (sin phi1) 6.096 * [backup-simplify]: Simplify (cos phi1) into (cos phi1) 6.096 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 6.096 * [taylor]: Taking taylor expansion of phi2 in phi2 6.096 * [backup-simplify]: Simplify 0 into 0 6.096 * [backup-simplify]: Simplify 1 into 1 6.096 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 6.096 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 6.096 * [taylor]: Taking taylor expansion of phi1 in phi1 6.096 * [backup-simplify]: Simplify 0 into 0 6.096 * [backup-simplify]: Simplify 1 into 1 6.096 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 6.096 * [taylor]: Taking taylor expansion of phi2 in phi1 6.096 * [backup-simplify]: Simplify phi2 into phi2 6.096 * [backup-simplify]: Simplify (sin phi2) into (sin phi2) 6.096 * [backup-simplify]: Simplify (cos phi2) into (cos phi2) 6.096 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 6.096 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 6.096 * [taylor]: Taking taylor expansion of phi1 in phi1 6.096 * [backup-simplify]: Simplify 0 into 0 6.096 * [backup-simplify]: Simplify 1 into 1 6.096 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 6.096 * [taylor]: Taking taylor expansion of phi2 in phi1 6.096 * [backup-simplify]: Simplify phi2 into phi2 6.096 * [backup-simplify]: Simplify (sin phi2) into (sin phi2) 6.096 * [backup-simplify]: Simplify (cos phi2) into (cos phi2) 6.096 * [backup-simplify]: Simplify (* (sin phi2) 1) into (sin phi2) 6.096 * [backup-simplify]: Simplify (* (cos phi2) 0) into 0 6.096 * [backup-simplify]: Simplify (+ (sin phi2) 0) into (sin phi2) 6.096 * [backup-simplify]: Simplify (* 0 (sin phi2)) into 0 6.096 * [taylor]: Taking taylor expansion of 0 in phi2 6.096 * [backup-simplify]: Simplify 0 into 0 6.096 * [backup-simplify]: Simplify 0 into 0 6.096 * [backup-simplify]: Simplify (+ 0) into 0 6.097 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (* 0 1)) into 0 6.097 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.097 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (* 0 0)) into 0 6.098 * [backup-simplify]: Simplify (+ 0 0) into 0 6.098 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 6.098 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin phi2))) into (sin phi2) 6.098 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 6.098 * [taylor]: Taking taylor expansion of phi2 in phi2 6.098 * [backup-simplify]: Simplify 0 into 0 6.098 * [backup-simplify]: Simplify 1 into 1 6.098 * [backup-simplify]: Simplify 0 into 0 6.099 * [backup-simplify]: Simplify 0 into 0 6.099 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.099 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (* 0 1))) into 0 6.100 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.100 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (* 0 0))) into 0 6.100 * [backup-simplify]: Simplify (+ 0 0) into 0 6.101 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.101 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin phi2)))) into 0 6.101 * [taylor]: Taking taylor expansion of 0 in phi2 6.101 * [backup-simplify]: Simplify 0 into 0 6.102 * [backup-simplify]: Simplify 0 into 0 6.103 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 6.103 * [backup-simplify]: Simplify 1 into 1 6.103 * [backup-simplify]: Simplify 0 into 0 6.104 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 6.104 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.105 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 6.106 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 6.106 * [backup-simplify]: Simplify (+ 0 0) into 0 6.107 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 6.108 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* -1/6 (sin phi2))))) into (- (* 1/6 (sin phi2))) 6.108 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2 6.108 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 6.108 * [taylor]: Taking taylor expansion of 1/6 in phi2 6.108 * [backup-simplify]: Simplify 1/6 into 1/6 6.108 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 6.108 * [taylor]: Taking taylor expansion of phi2 in phi2 6.108 * [backup-simplify]: Simplify 0 into 0 6.108 * [backup-simplify]: Simplify 1 into 1 6.108 * [backup-simplify]: Simplify (* 1/6 0) into 0 6.108 * [backup-simplify]: Simplify (- 0) into 0 6.108 * [backup-simplify]: Simplify 0 into 0 6.108 * [backup-simplify]: Simplify 0 into 0 6.109 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.109 * [backup-simplify]: Simplify 0 into 0 6.109 * [backup-simplify]: Simplify 0 into 0 6.110 * [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 6.111 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.113 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 6.114 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 6.114 * [backup-simplify]: Simplify (+ 0 0) into 0 6.116 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 6.117 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* -1/6 0) (* 0 (sin phi2)))))) into 0 6.117 * [taylor]: Taking taylor expansion of 0 in phi2 6.117 * [backup-simplify]: Simplify 0 into 0 6.118 * [backup-simplify]: Simplify 0 into 0 6.118 * [backup-simplify]: Simplify (* 1 (* phi2 phi1)) into (* phi1 phi2) 6.118 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 6.118 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in (phi1 phi2) around 0 6.118 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi2 6.118 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 6.118 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 6.118 * [taylor]: Taking taylor expansion of phi2 in phi2 6.118 * [backup-simplify]: Simplify 0 into 0 6.118 * [backup-simplify]: Simplify 1 into 1 6.118 * [backup-simplify]: Simplify (/ 1 1) into 1 6.119 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 6.119 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 6.119 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 6.119 * [taylor]: Taking taylor expansion of phi1 in phi2 6.119 * [backup-simplify]: Simplify phi1 into phi1 6.119 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 6.119 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 6.119 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 6.119 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi1 6.119 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 6.119 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 6.119 * [taylor]: Taking taylor expansion of phi2 in phi1 6.119 * [backup-simplify]: Simplify phi2 into phi2 6.119 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 6.119 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 6.119 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 6.119 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 6.119 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 6.119 * [taylor]: Taking taylor expansion of phi1 in phi1 6.119 * [backup-simplify]: Simplify 0 into 0 6.119 * [backup-simplify]: Simplify 1 into 1 6.120 * [backup-simplify]: Simplify (/ 1 1) into 1 6.120 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 6.120 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi1 6.120 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 6.120 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 6.120 * [taylor]: Taking taylor expansion of phi2 in phi1 6.120 * [backup-simplify]: Simplify phi2 into phi2 6.121 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 6.121 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 6.121 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 6.121 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 6.121 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 6.121 * [taylor]: Taking taylor expansion of phi1 in phi1 6.121 * [backup-simplify]: Simplify 0 into 0 6.121 * [backup-simplify]: Simplify 1 into 1 6.122 * [backup-simplify]: Simplify (/ 1 1) into 1 6.122 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 6.122 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) 1) into (sin (/ 1 phi2)) 6.122 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) 0) into 0 6.122 * [backup-simplify]: Simplify (+ (sin (/ 1 phi2)) 0) into (sin (/ 1 phi2)) 6.122 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 6.122 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi2 6.122 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 6.122 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 6.122 * [taylor]: Taking taylor expansion of phi2 in phi2 6.122 * [backup-simplify]: Simplify 0 into 0 6.122 * [backup-simplify]: Simplify 1 into 1 6.123 * [backup-simplify]: Simplify (/ 1 1) into 1 6.123 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 6.123 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 6.123 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 6.123 * [taylor]: Taking taylor expansion of phi1 in phi2 6.123 * [backup-simplify]: Simplify phi1 into phi1 6.123 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 6.123 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 6.123 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 6.123 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) 1) into (sin (/ 1 phi1)) 6.123 * [backup-simplify]: Simplify (* (cos (/ 1 phi1)) 0) into 0 6.124 * [backup-simplify]: Simplify (+ (sin (/ 1 phi1)) 0) into (sin (/ 1 phi1)) 6.124 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 6.124 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 6.124 * [backup-simplify]: Simplify (+ 0) into 0 6.125 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 1)) into 0 6.125 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 6.126 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.126 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 0)) into 0 6.127 * [backup-simplify]: Simplify (+ 0 0) into 0 6.127 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 (sin (/ 1 phi1)))) into 0 6.127 * [taylor]: Taking taylor expansion of 0 in phi2 6.127 * [backup-simplify]: Simplify 0 into 0 6.127 * [backup-simplify]: Simplify 0 into 0 6.127 * [backup-simplify]: Simplify (+ 0) into 0 6.128 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 1)) into 0 6.128 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 6.129 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.129 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (* 0 0)) into 0 6.130 * [backup-simplify]: Simplify (+ 0 0) into 0 6.130 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 (sin (/ 1 phi1)))) into 0 6.130 * [backup-simplify]: Simplify 0 into 0 6.131 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.132 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0 6.132 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 6.133 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.133 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0 6.134 * [backup-simplify]: Simplify (+ 0 0) into 0 6.134 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1))))) into 0 6.134 * [taylor]: Taking taylor expansion of 0 in phi2 6.134 * [backup-simplify]: Simplify 0 into 0 6.134 * [backup-simplify]: Simplify 0 into 0 6.134 * [backup-simplify]: Simplify 0 into 0 6.135 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.136 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0 6.136 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 6.137 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.138 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0 6.138 * [backup-simplify]: Simplify (+ 0 0) into 0 6.139 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1))))) into 0 6.139 * [backup-simplify]: Simplify 0 into 0 6.140 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 6.141 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.141 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 6.142 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 6.143 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 6.144 * [backup-simplify]: Simplify (+ 0 0) into 0 6.144 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1)))))) into 0 6.145 * [taylor]: Taking taylor expansion of 0 in phi2 6.145 * [backup-simplify]: Simplify 0 into 0 6.145 * [backup-simplify]: Simplify 0 into 0 6.145 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) into (* (sin phi1) (sin phi2)) 6.145 * [backup-simplify]: Simplify (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 6.145 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 6.145 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 6.145 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 6.145 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 6.145 * [taylor]: Taking taylor expansion of -1 in phi2 6.145 * [backup-simplify]: Simplify -1 into -1 6.145 * [taylor]: Taking taylor expansion of phi1 in phi2 6.145 * [backup-simplify]: Simplify phi1 into phi1 6.145 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1) 6.145 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 6.145 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 6.145 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 6.145 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 6.145 * [taylor]: Taking taylor expansion of -1 in phi2 6.145 * [backup-simplify]: Simplify -1 into -1 6.146 * [taylor]: Taking taylor expansion of phi2 in phi2 6.146 * [backup-simplify]: Simplify 0 into 0 6.146 * [backup-simplify]: Simplify 1 into 1 6.146 * [backup-simplify]: Simplify (/ -1 1) into -1 6.146 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 6.146 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 6.146 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 6.146 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 6.146 * [taylor]: Taking taylor expansion of -1 in phi1 6.146 * [backup-simplify]: Simplify -1 into -1 6.146 * [taylor]: Taking taylor expansion of phi1 in phi1 6.146 * [backup-simplify]: Simplify 0 into 0 6.146 * [backup-simplify]: Simplify 1 into 1 6.147 * [backup-simplify]: Simplify (/ -1 1) into -1 6.147 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 6.147 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 6.147 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 6.147 * [taylor]: Taking taylor expansion of -1 in phi1 6.147 * [backup-simplify]: Simplify -1 into -1 6.147 * [taylor]: Taking taylor expansion of phi2 in phi1 6.147 * [backup-simplify]: Simplify phi2 into phi2 6.147 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2) 6.147 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 6.147 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 6.147 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 6.147 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 6.147 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 6.147 * [taylor]: Taking taylor expansion of -1 in phi1 6.147 * [backup-simplify]: Simplify -1 into -1 6.147 * [taylor]: Taking taylor expansion of phi1 in phi1 6.147 * [backup-simplify]: Simplify 0 into 0 6.148 * [backup-simplify]: Simplify 1 into 1 6.148 * [backup-simplify]: Simplify (/ -1 1) into -1 6.148 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 6.148 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 6.148 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 6.148 * [taylor]: Taking taylor expansion of -1 in phi1 6.148 * [backup-simplify]: Simplify -1 into -1 6.148 * [taylor]: Taking taylor expansion of phi2 in phi1 6.148 * [backup-simplify]: Simplify phi2 into phi2 6.148 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2) 6.148 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 6.148 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 6.149 * [backup-simplify]: Simplify (* (sin (/ -1 phi2)) 1) into (sin (/ -1 phi2)) 6.149 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) 0) into 0 6.149 * [backup-simplify]: Simplify (+ (sin (/ -1 phi2)) 0) into (sin (/ -1 phi2)) 6.149 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 6.149 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 6.149 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 6.149 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 6.149 * [taylor]: Taking taylor expansion of -1 in phi2 6.149 * [backup-simplify]: Simplify -1 into -1 6.149 * [taylor]: Taking taylor expansion of phi1 in phi2 6.149 * [backup-simplify]: Simplify phi1 into phi1 6.149 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1) 6.149 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 6.149 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 6.149 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 6.149 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 6.149 * [taylor]: Taking taylor expansion of -1 in phi2 6.149 * [backup-simplify]: Simplify -1 into -1 6.149 * [taylor]: Taking taylor expansion of phi2 in phi2 6.149 * [backup-simplify]: Simplify 0 into 0 6.149 * [backup-simplify]: Simplify 1 into 1 6.150 * [backup-simplify]: Simplify (/ -1 1) into -1 6.150 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 6.150 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) 1) into (sin (/ -1 phi1)) 6.150 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) 0) into 0 6.150 * [backup-simplify]: Simplify (+ (sin (/ -1 phi1)) 0) into (sin (/ -1 phi1)) 6.150 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 6.151 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 6.151 * [backup-simplify]: Simplify (+ 0) into 0 6.151 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (* 0 1)) into 0 6.152 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)))) into 0 6.152 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.153 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 0)) into 0 6.153 * [backup-simplify]: Simplify (+ 0 0) into 0 6.153 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) into 0 6.153 * [taylor]: Taking taylor expansion of 0 in phi2 6.153 * [backup-simplify]: Simplify 0 into 0 6.154 * [backup-simplify]: Simplify 0 into 0 6.154 * [backup-simplify]: Simplify (+ 0) into 0 6.154 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 1)) into 0 6.155 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)))) into 0 6.155 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.156 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 0)) into 0 6.156 * [backup-simplify]: Simplify (+ 0 0) into 0 6.156 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) into 0 6.156 * [backup-simplify]: Simplify 0 into 0 6.157 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.158 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0 6.158 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 6.159 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.159 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0 6.160 * [backup-simplify]: Simplify (+ 0 0) into 0 6.160 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0 6.160 * [taylor]: Taking taylor expansion of 0 in phi2 6.160 * [backup-simplify]: Simplify 0 into 0 6.160 * [backup-simplify]: Simplify 0 into 0 6.160 * [backup-simplify]: Simplify 0 into 0 6.161 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.162 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0 6.162 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 6.163 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.164 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0 6.164 * [backup-simplify]: Simplify (+ 0 0) into 0 6.164 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0 6.165 * [backup-simplify]: Simplify 0 into 0 6.165 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 6.166 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.167 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 6.168 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 6.169 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 6.169 * [backup-simplify]: Simplify (+ 0 0) into 0 6.170 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2)))))) into 0 6.170 * [taylor]: Taking taylor expansion of 0 in phi2 6.170 * [backup-simplify]: Simplify 0 into 0 6.170 * [backup-simplify]: Simplify 0 into 0 6.170 * [backup-simplify]: Simplify (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) into (* (sin phi1) (sin phi2)) 6.170 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 2 2) 6.171 * [backup-simplify]: Simplify (* (sin lambda1) (sin lambda2)) into (* (sin lambda1) (sin lambda2)) 6.171 * [approximate]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in (lambda1 lambda2) around 0 6.171 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda2 6.171 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 6.171 * [taylor]: Taking taylor expansion of lambda1 in lambda2 6.171 * [backup-simplify]: Simplify lambda1 into lambda1 6.171 * [backup-simplify]: Simplify (sin lambda1) into (sin lambda1) 6.171 * [backup-simplify]: Simplify (cos lambda1) into (cos lambda1) 6.171 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 6.171 * [taylor]: Taking taylor expansion of lambda2 in lambda2 6.171 * [backup-simplify]: Simplify 0 into 0 6.171 * [backup-simplify]: Simplify 1 into 1 6.171 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 6.171 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 6.171 * [taylor]: Taking taylor expansion of lambda1 in lambda1 6.171 * [backup-simplify]: Simplify 0 into 0 6.171 * [backup-simplify]: Simplify 1 into 1 6.171 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 6.171 * [taylor]: Taking taylor expansion of lambda2 in lambda1 6.171 * [backup-simplify]: Simplify lambda2 into lambda2 6.171 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2) 6.171 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2) 6.171 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 6.171 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 6.171 * [taylor]: Taking taylor expansion of lambda1 in lambda1 6.171 * [backup-simplify]: Simplify 0 into 0 6.171 * [backup-simplify]: Simplify 1 into 1 6.171 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 6.171 * [taylor]: Taking taylor expansion of lambda2 in lambda1 6.171 * [backup-simplify]: Simplify lambda2 into lambda2 6.172 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2) 6.172 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2) 6.172 * [backup-simplify]: Simplify (* (sin lambda2) 1) into (sin lambda2) 6.172 * [backup-simplify]: Simplify (* (cos lambda2) 0) into 0 6.172 * [backup-simplify]: Simplify (+ (sin lambda2) 0) into (sin lambda2) 6.172 * [backup-simplify]: Simplify (* 0 (sin lambda2)) into 0 6.172 * [taylor]: Taking taylor expansion of 0 in lambda2 6.172 * [backup-simplify]: Simplify 0 into 0 6.172 * [backup-simplify]: Simplify 0 into 0 6.172 * [backup-simplify]: Simplify (+ 0) into 0 6.173 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (* 0 1)) into 0 6.174 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.174 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (* 0 0)) into 0 6.175 * [backup-simplify]: Simplify (+ 0 0) into 0 6.175 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 6.176 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin lambda2))) into (sin lambda2) 6.176 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 6.176 * [taylor]: Taking taylor expansion of lambda2 in lambda2 6.176 * [backup-simplify]: Simplify 0 into 0 6.176 * [backup-simplify]: Simplify 1 into 1 6.176 * [backup-simplify]: Simplify 0 into 0 6.176 * [backup-simplify]: Simplify 0 into 0 6.177 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.177 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (* 0 1))) into 0 6.178 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.179 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (* 0 0))) into 0 6.179 * [backup-simplify]: Simplify (+ 0 0) into 0 6.180 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.181 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin lambda2)))) into 0 6.181 * [taylor]: Taking taylor expansion of 0 in lambda2 6.181 * [backup-simplify]: Simplify 0 into 0 6.181 * [backup-simplify]: Simplify 0 into 0 6.182 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 6.182 * [backup-simplify]: Simplify 1 into 1 6.182 * [backup-simplify]: Simplify 0 into 0 6.183 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 6.184 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.186 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 6.186 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 6.187 * [backup-simplify]: Simplify (+ 0 0) into 0 6.188 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 6.189 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* -1/6 (sin lambda2))))) into (- (* 1/6 (sin lambda2))) 6.190 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin lambda2))) in lambda2 6.190 * [taylor]: Taking taylor expansion of (* 1/6 (sin lambda2)) in lambda2 6.190 * [taylor]: Taking taylor expansion of 1/6 in lambda2 6.190 * [backup-simplify]: Simplify 1/6 into 1/6 6.190 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 6.190 * [taylor]: Taking taylor expansion of lambda2 in lambda2 6.190 * [backup-simplify]: Simplify 0 into 0 6.190 * [backup-simplify]: Simplify 1 into 1 6.190 * [backup-simplify]: Simplify (* 1/6 0) into 0 6.191 * [backup-simplify]: Simplify (- 0) into 0 6.191 * [backup-simplify]: Simplify 0 into 0 6.191 * [backup-simplify]: Simplify 0 into 0 6.192 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.192 * [backup-simplify]: Simplify 0 into 0 6.192 * [backup-simplify]: Simplify 0 into 0 6.194 * [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 6.195 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.197 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 6.197 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 6.198 * [backup-simplify]: Simplify (+ 0 0) into 0 6.199 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 6.201 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* -1/6 0) (* 0 (sin lambda2)))))) into 0 6.201 * [taylor]: Taking taylor expansion of 0 in lambda2 6.201 * [backup-simplify]: Simplify 0 into 0 6.201 * [backup-simplify]: Simplify 0 into 0 6.201 * [backup-simplify]: Simplify (* 1 (* lambda2 lambda1)) into (* lambda2 lambda1) 6.201 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 6.201 * [approximate]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in (lambda1 lambda2) around 0 6.201 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda2 6.201 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 6.201 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 6.201 * [taylor]: Taking taylor expansion of lambda2 in lambda2 6.202 * [backup-simplify]: Simplify 0 into 0 6.202 * [backup-simplify]: Simplify 1 into 1 6.202 * [backup-simplify]: Simplify (/ 1 1) into 1 6.202 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 6.202 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 6.202 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 6.202 * [taylor]: Taking taylor expansion of lambda1 in lambda2 6.202 * [backup-simplify]: Simplify lambda1 into lambda1 6.202 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 6.202 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 6.202 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) 6.202 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda1 6.202 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 6.202 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 6.202 * [taylor]: Taking taylor expansion of lambda2 in lambda1 6.202 * [backup-simplify]: Simplify lambda2 into lambda2 6.202 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 6.203 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 6.203 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) 6.203 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 6.203 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 6.203 * [taylor]: Taking taylor expansion of lambda1 in lambda1 6.203 * [backup-simplify]: Simplify 0 into 0 6.203 * [backup-simplify]: Simplify 1 into 1 6.203 * [backup-simplify]: Simplify (/ 1 1) into 1 6.203 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 6.203 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda1 6.203 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 6.203 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 6.203 * [taylor]: Taking taylor expansion of lambda2 in lambda1 6.203 * [backup-simplify]: Simplify lambda2 into lambda2 6.203 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 6.203 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 6.204 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) 6.204 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 6.204 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 6.204 * [taylor]: Taking taylor expansion of lambda1 in lambda1 6.204 * [backup-simplify]: Simplify 0 into 0 6.204 * [backup-simplify]: Simplify 1 into 1 6.204 * [backup-simplify]: Simplify (/ 1 1) into 1 6.204 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 6.204 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) 1) into (sin (/ 1 lambda2)) 6.204 * [backup-simplify]: Simplify (* (cos (/ 1 lambda2)) 0) into 0 6.204 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda2)) 0) into (sin (/ 1 lambda2)) 6.205 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 6.205 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda2 6.205 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 6.205 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 6.205 * [taylor]: Taking taylor expansion of lambda2 in lambda2 6.205 * [backup-simplify]: Simplify 0 into 0 6.205 * [backup-simplify]: Simplify 1 into 1 6.205 * [backup-simplify]: Simplify (/ 1 1) into 1 6.205 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 6.205 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 6.205 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 6.205 * [taylor]: Taking taylor expansion of lambda1 in lambda2 6.205 * [backup-simplify]: Simplify lambda1 into lambda1 6.205 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 6.205 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 6.206 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) 6.206 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) 1) into (sin (/ 1 lambda1)) 6.206 * [backup-simplify]: Simplify (* (cos (/ 1 lambda1)) 0) into 0 6.206 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda1)) 0) into (sin (/ 1 lambda1)) 6.206 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 6.206 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 6.206 * [backup-simplify]: Simplify (+ 0) into 0 6.207 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 1)) into 0 6.207 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0 6.208 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.208 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (* 0 0)) into 0 6.209 * [backup-simplify]: Simplify (+ 0 0) into 0 6.209 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 (sin (/ 1 lambda1)))) into 0 6.209 * [taylor]: Taking taylor expansion of 0 in lambda2 6.209 * [backup-simplify]: Simplify 0 into 0 6.209 * [backup-simplify]: Simplify 0 into 0 6.209 * [backup-simplify]: Simplify (+ 0) into 0 6.210 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 1)) into 0 6.210 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)))) into 0 6.211 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.211 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (* 0 0)) into 0 6.212 * [backup-simplify]: Simplify (+ 0 0) into 0 6.212 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 (sin (/ 1 lambda1)))) into 0 6.212 * [backup-simplify]: Simplify 0 into 0 6.213 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.213 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0 6.214 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 6.214 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.215 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0 6.215 * [backup-simplify]: Simplify (+ 0 0) into 0 6.215 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1))))) into 0 6.215 * [taylor]: Taking taylor expansion of 0 in lambda2 6.215 * [backup-simplify]: Simplify 0 into 0 6.215 * [backup-simplify]: Simplify 0 into 0 6.215 * [backup-simplify]: Simplify 0 into 0 6.216 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.216 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0 6.216 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0 6.217 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.217 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0 6.218 * [backup-simplify]: Simplify (+ 0 0) into 0 6.218 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1))))) into 0 6.218 * [backup-simplify]: Simplify 0 into 0 6.218 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 6.219 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.219 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 6.220 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 6.220 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 6.221 * [backup-simplify]: Simplify (+ 0 0) into 0 6.221 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1)))))) into 0 6.221 * [taylor]: Taking taylor expansion of 0 in lambda2 6.221 * [backup-simplify]: Simplify 0 into 0 6.221 * [backup-simplify]: Simplify 0 into 0 6.221 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 lambda2))) (sin (/ 1 (/ 1 lambda1)))) into (* (sin lambda2) (sin lambda1)) 6.221 * [backup-simplify]: Simplify (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 6.221 * [approximate]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in (lambda1 lambda2) around 0 6.221 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 6.221 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 6.221 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 6.221 * [taylor]: Taking taylor expansion of -1 in lambda2 6.221 * [backup-simplify]: Simplify -1 into -1 6.221 * [taylor]: Taking taylor expansion of lambda1 in lambda2 6.221 * [backup-simplify]: Simplify lambda1 into lambda1 6.222 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1) 6.222 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 6.222 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) 6.222 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 6.222 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 6.222 * [taylor]: Taking taylor expansion of -1 in lambda2 6.222 * [backup-simplify]: Simplify -1 into -1 6.222 * [taylor]: Taking taylor expansion of lambda2 in lambda2 6.222 * [backup-simplify]: Simplify 0 into 0 6.222 * [backup-simplify]: Simplify 1 into 1 6.222 * [backup-simplify]: Simplify (/ -1 1) into -1 6.222 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 6.222 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 6.222 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 6.222 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 6.222 * [taylor]: Taking taylor expansion of -1 in lambda1 6.222 * [backup-simplify]: Simplify -1 into -1 6.222 * [taylor]: Taking taylor expansion of lambda1 in lambda1 6.222 * [backup-simplify]: Simplify 0 into 0 6.222 * [backup-simplify]: Simplify 1 into 1 6.222 * [backup-simplify]: Simplify (/ -1 1) into -1 6.223 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 6.223 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 6.223 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 6.223 * [taylor]: Taking taylor expansion of -1 in lambda1 6.223 * [backup-simplify]: Simplify -1 into -1 6.223 * [taylor]: Taking taylor expansion of lambda2 in lambda1 6.223 * [backup-simplify]: Simplify lambda2 into lambda2 6.223 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2) 6.223 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 6.223 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2)) 6.223 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 6.223 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 6.223 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 6.223 * [taylor]: Taking taylor expansion of -1 in lambda1 6.223 * [backup-simplify]: Simplify -1 into -1 6.223 * [taylor]: Taking taylor expansion of lambda1 in lambda1 6.223 * [backup-simplify]: Simplify 0 into 0 6.223 * [backup-simplify]: Simplify 1 into 1 6.223 * [backup-simplify]: Simplify (/ -1 1) into -1 6.223 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 6.223 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 6.223 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 6.223 * [taylor]: Taking taylor expansion of -1 in lambda1 6.223 * [backup-simplify]: Simplify -1 into -1 6.223 * [taylor]: Taking taylor expansion of lambda2 in lambda1 6.223 * [backup-simplify]: Simplify lambda2 into lambda2 6.223 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2) 6.223 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 6.223 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2)) 6.223 * [backup-simplify]: Simplify (* (sin (/ -1 lambda2)) 1) into (sin (/ -1 lambda2)) 6.224 * [backup-simplify]: Simplify (* (cos (/ -1 lambda2)) 0) into 0 6.224 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda2)) 0) into (sin (/ -1 lambda2)) 6.224 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 6.224 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 6.224 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 6.224 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 6.224 * [taylor]: Taking taylor expansion of -1 in lambda2 6.224 * [backup-simplify]: Simplify -1 into -1 6.224 * [taylor]: Taking taylor expansion of lambda1 in lambda2 6.224 * [backup-simplify]: Simplify lambda1 into lambda1 6.224 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1) 6.224 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 6.224 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) 6.224 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 6.224 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 6.224 * [taylor]: Taking taylor expansion of -1 in lambda2 6.224 * [backup-simplify]: Simplify -1 into -1 6.224 * [taylor]: Taking taylor expansion of lambda2 in lambda2 6.224 * [backup-simplify]: Simplify 0 into 0 6.224 * [backup-simplify]: Simplify 1 into 1 6.224 * [backup-simplify]: Simplify (/ -1 1) into -1 6.224 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 6.224 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) 1) into (sin (/ -1 lambda1)) 6.224 * [backup-simplify]: Simplify (* (cos (/ -1 lambda1)) 0) into 0 6.224 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda1)) 0) into (sin (/ -1 lambda1)) 6.225 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 6.225 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 6.225 * [backup-simplify]: Simplify (+ 0) into 0 6.225 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (* 0 1)) into 0 6.225 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)))) into 0 6.226 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.226 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (* 0 0)) into 0 6.226 * [backup-simplify]: Simplify (+ 0 0) into 0 6.226 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (sin (/ -1 lambda2)))) into 0 6.226 * [taylor]: Taking taylor expansion of 0 in lambda2 6.226 * [backup-simplify]: Simplify 0 into 0 6.226 * [backup-simplify]: Simplify 0 into 0 6.227 * [backup-simplify]: Simplify (+ 0) into 0 6.227 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 1)) into 0 6.227 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)))) into 0 6.228 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.228 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (* 0 0)) into 0 6.228 * [backup-simplify]: Simplify (+ 0 0) into 0 6.228 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (sin (/ -1 lambda2)))) into 0 6.228 * [backup-simplify]: Simplify 0 into 0 6.229 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.229 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0 6.229 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 6.230 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.230 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0 6.230 * [backup-simplify]: Simplify (+ 0 0) into 0 6.231 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2))))) into 0 6.231 * [taylor]: Taking taylor expansion of 0 in lambda2 6.231 * [backup-simplify]: Simplify 0 into 0 6.231 * [backup-simplify]: Simplify 0 into 0 6.231 * [backup-simplify]: Simplify 0 into 0 6.231 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.232 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0 6.232 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0 6.232 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.233 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0 6.233 * [backup-simplify]: Simplify (+ 0 0) into 0 6.233 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2))))) into 0 6.233 * [backup-simplify]: Simplify 0 into 0 6.234 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 6.234 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.234 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 6.238 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 6.239 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 6.239 * [backup-simplify]: Simplify (+ 0 0) into 0 6.240 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2)))))) into 0 6.240 * [taylor]: Taking taylor expansion of 0 in lambda2 6.240 * [backup-simplify]: Simplify 0 into 0 6.240 * [backup-simplify]: Simplify 0 into 0 6.240 * [backup-simplify]: Simplify (* (sin (/ -1 (/ 1 (- lambda1)))) (sin (/ -1 (/ 1 (- lambda2))))) into (* (sin lambda1) (sin lambda2)) 6.240 * * * [progress]: simplifying candidates 6.240 * * * * [progress]: [ 1 / 80 ] simplifiying candidate # 6.240 * * * * [progress]: [ 2 / 80 ] simplifiying candidate # 6.240 * * * * [progress]: [ 3 / 80 ] simplifiying candidate # 6.240 * * * * [progress]: [ 4 / 80 ] simplifiying candidate # 6.240 * * * * [progress]: [ 5 / 80 ] simplifiying candidate # 6.240 * * * * [progress]: [ 6 / 80 ] simplifiying candidate # 6.240 * * * * [progress]: [ 7 / 80 ] simplifiying candidate # 6.240 * * * * [progress]: [ 8 / 80 ] simplifiying candidate # 6.240 * * * * [progress]: [ 9 / 80 ] simplifiying candidate #real (real->posit16 (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))> 6.240 * * * * [progress]: [ 10 / 80 ] simplifiying candidate # 6.240 * * * * [progress]: [ 11 / 80 ] simplifiying candidate # 6.240 * * * * [progress]: [ 12 / 80 ] simplifiying candidate # 6.240 * * * * [progress]: [ 13 / 80 ] simplifiying candidate # 6.240 * * * * [progress]: [ 14 / 80 ] simplifiying candidate # 6.240 * * * * [progress]: [ 15 / 80 ] simplifiying candidate # 6.241 * * * * [progress]: [ 16 / 80 ] simplifiying candidate # 6.241 * * * * [progress]: [ 17 / 80 ] simplifiying candidate # 6.241 * * * * [progress]: [ 18 / 80 ] simplifiying candidate # 6.241 * * * * [progress]: [ 19 / 80 ] simplifiying candidate # 6.241 * * * * [progress]: [ 20 / 80 ] simplifiying candidate # 6.241 * * * * [progress]: [ 21 / 80 ] simplifiying candidate # 6.241 * * * * [progress]: [ 22 / 80 ] simplifiying candidate # 6.241 * * * * [progress]: [ 23 / 80 ] simplifiying candidate # 6.241 * * * * [progress]: [ 24 / 80 ] simplifiying candidate # 6.241 * * * * [progress]: [ 25 / 80 ] simplifiying candidate # 6.241 * * * * [progress]: [ 26 / 80 ] simplifiying candidate # 6.241 * * * * [progress]: [ 27 / 80 ] simplifiying candidate #real (real->posit16 (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))))> 6.241 * * * * [progress]: [ 28 / 80 ] simplifiying candidate # 6.241 * * * * [progress]: [ 29 / 80 ] simplifiying candidate # 6.241 * * * * [progress]: [ 30 / 80 ] simplifiying candidate # 6.241 * * * * [progress]: [ 31 / 80 ] simplifiying candidate # 6.241 * * * * [progress]: [ 32 / 80 ] simplifiying candidate # 6.242 * * * * [progress]: [ 33 / 80 ] simplifiying candidate # 6.242 * * * * [progress]: [ 34 / 80 ] simplifiying candidate # 6.242 * * * * [progress]: [ 35 / 80 ] simplifiying candidate # 6.242 * * * * [progress]: [ 36 / 80 ] simplifiying candidate # 6.242 * * * * [progress]: [ 37 / 80 ] simplifiying candidate # 6.242 * * * * [progress]: [ 38 / 80 ] simplifiying candidate # 6.242 * * * * [progress]: [ 39 / 80 ] simplifiying candidate # 6.242 * * * * [progress]: [ 40 / 80 ] simplifiying candidate # 6.242 * * * * [progress]: [ 41 / 80 ] simplifiying candidate # 6.242 * * * * [progress]: [ 42 / 80 ] simplifiying candidate # 6.242 * * * * [progress]: [ 43 / 80 ] simplifiying candidate # 6.242 * * * * [progress]: [ 44 / 80 ] simplifiying candidate # 6.242 * * * * [progress]: [ 45 / 80 ] simplifiying candidate # 6.242 * * * * [progress]: [ 46 / 80 ] simplifiying candidate # 6.242 * * * * [progress]: [ 47 / 80 ] simplifiying candidate #real (real->posit16 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))> 6.242 * * * * [progress]: [ 48 / 80 ] simplifiying candidate # 6.242 * * * * [progress]: [ 49 / 80 ] simplifiying candidate # 6.242 * * * * [progress]: [ 50 / 80 ] simplifiying candidate # 6.242 * * * * [progress]: [ 51 / 80 ] simplifiying candidate # 6.242 * * * * [progress]: [ 52 / 80 ] simplifiying candidate # 6.243 * * * * [progress]: [ 53 / 80 ] simplifiying candidate # 6.243 * * * * [progress]: [ 54 / 80 ] simplifiying candidate # 6.243 * * * * [progress]: [ 55 / 80 ] simplifiying candidate # 6.243 * * * * [progress]: [ 56 / 80 ] simplifiying candidate # 6.243 * * * * [progress]: [ 57 / 80 ] simplifiying candidate # 6.243 * * * * [progress]: [ 58 / 80 ] simplifiying candidate # 6.243 * * * * [progress]: [ 59 / 80 ] simplifiying candidate # 6.243 * * * * [progress]: [ 60 / 80 ] simplifiying candidate # 6.243 * * * * [progress]: [ 61 / 80 ] simplifiying candidate # 6.243 * * * * [progress]: [ 62 / 80 ] simplifiying candidate # 6.243 * * * * [progress]: [ 63 / 80 ] simplifiying candidate # 6.243 * * * * [progress]: [ 64 / 80 ] simplifiying candidate # 6.243 * * * * [progress]: [ 65 / 80 ] simplifiying candidate # 6.243 * * * * [progress]: [ 66 / 80 ] simplifiying candidate # 6.244 * * * * [progress]: [ 67 / 80 ] simplifiying candidate #real (real->posit16 (* (sin lambda1) (sin lambda2)))))))) R))> 6.244 * * * * [progress]: [ 68 / 80 ] simplifiying candidate # 6.244 * * * * [progress]: [ 69 / 80 ] simplifiying candidate # 6.244 * * * * [progress]: [ 70 / 80 ] simplifiying candidate # 6.244 * * * * [progress]: [ 71 / 80 ] simplifiying candidate # 6.244 * * * * [progress]: [ 72 / 80 ] simplifiying candidate # 6.244 * * * * [progress]: [ 73 / 80 ] simplifiying candidate # 6.244 * * * * [progress]: [ 74 / 80 ] simplifiying candidate # 6.244 * * * * [progress]: [ 75 / 80 ] simplifiying candidate # 6.244 * * * * [progress]: [ 76 / 80 ] simplifiying candidate # 6.244 * * * * [progress]: [ 77 / 80 ] simplifiying candidate # 6.244 * * * * [progress]: [ 78 / 80 ] simplifiying candidate # 6.244 * * * * [progress]: [ 79 / 80 ] simplifiying candidate # 6.244 * * * * [progress]: [ 80 / 80 ] simplifiying candidate # 6.246 * [simplify]: Simplifying: (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (real->posit16 (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (+ (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (log R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (* R R) R)) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 1) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (real->posit16 (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)) (+ (log (sin phi1)) (log (sin phi2))) (log (* (sin phi1) (sin phi2))) (exp (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2))) (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (sin phi1) (sqrt (sin phi2))) (* (sin phi1) 1) (* (cbrt (sin phi1)) (sin phi2)) (* (sqrt (sin phi1)) (sin phi2)) (* (sin phi1) (sin phi2)) (real->posit16 (* (sin phi1) (sin phi2))) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) (* (sin lambda1) (sin lambda2)) (+ (log (sin lambda1)) (log (sin lambda2))) (log (* (sin lambda1) (sin lambda2))) (exp (* (sin lambda1) (sin lambda2))) (* (* (* (sin lambda1) (sin lambda1)) (sin lambda1)) (* (* (sin lambda2) (sin lambda2)) (sin lambda2))) (* (cbrt (* (sin lambda1) (sin lambda2))) (cbrt (* (sin lambda1) (sin lambda2)))) (cbrt (* (sin lambda1) (sin lambda2))) (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2))) (sqrt (* (sin lambda1) (sin lambda2))) (sqrt (* (sin lambda1) (sin lambda2))) (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (* (sin lambda1) (sqrt (sin lambda2))) (* (sin lambda1) 1) (* (cbrt (sin lambda1)) (sin lambda2)) (* (sqrt (sin lambda1)) (sin lambda2)) (* (sin lambda1) (sin lambda2)) (real->posit16 (* (sin lambda1) (sin lambda2))) (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) (* phi1 phi2) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) (* lambda2 lambda1) (* (sin lambda2) (sin lambda1)) (* (sin lambda1) (sin lambda2)) 6.249 * * [simplify]: iteration 0: 138 enodes 6.278 * * [simplify]: iteration 1: 281 enodes 6.352 * * [simplify]: iteration 2: 628 enodes 6.557 * * [simplify]: iteration 3: 1449 enodes 7.316 * * [simplify]: iteration 4: 2975 enodes 8.500 * * [simplify]: iteration complete: 5000 enodes 8.500 * * [simplify]: Extracting #0: cost 55 inf + 0 8.502 * * [simplify]: Extracting #1: cost 350 inf + 0 8.507 * * [simplify]: Extracting #2: cost 831 inf + 1252 8.519 * * [simplify]: Extracting #3: cost 840 inf + 32443 8.545 * * [simplify]: Extracting #4: cost 666 inf + 102571 8.575 * * [simplify]: Extracting #5: cost 464 inf + 166354 8.641 * * [simplify]: Extracting #6: cost 160 inf + 441715 8.767 * * [simplify]: Extracting #7: cost 13 inf + 595463 8.916 * * [simplify]: Extracting #8: cost 0 inf + 610466 9.062 * [simplify]: Simplified to: (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))) (log (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (exp (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (* (cbrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (cbrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) (cbrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (* (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))) (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (sqrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (sqrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (real->posit16 (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (* R (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (log (* R (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) (log (* R (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) (exp (* R (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) (* (* (* R (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (* R (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) (* R (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) (* (cbrt (* R (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) (cbrt (* R (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))))) (cbrt (* R (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) (* (* (* R (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (* R (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) (* R (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) (sqrt (* R (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) (sqrt (* R (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) (* (sqrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (sqrt R)) (* (sqrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (sqrt R)) (* (cbrt R) (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))) (cbrt R))) (* (sqrt R) (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))) (* (cbrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) R) (* R (sqrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) (* R (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (real->posit16 (* R (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi2) (sin phi1)) (log (* (sin phi2) (sin phi1))) (log (* (sin phi2) (sin phi1))) (exp (* (sin phi2) (sin phi1))) (* (* (sin phi2) (sin phi1)) (* (* (sin phi2) (sin phi1)) (* (sin phi2) (sin phi1)))) (* (cbrt (* (sin phi2) (sin phi1))) (cbrt (* (sin phi2) (sin phi1)))) (cbrt (* (sin phi2) (sin phi1))) (* (* (sin phi2) (sin phi1)) (* (* (sin phi2) (sin phi1)) (* (sin phi2) (sin phi1)))) (sqrt (* (sin phi2) (sin phi1))) (sqrt (* (sin phi2) (sin phi1))) (* (sqrt (sin phi2)) (sqrt (sin phi1))) (* (sqrt (sin phi2)) (sqrt (sin phi1))) (* (* (cbrt (sin phi2)) (cbrt (sin phi2))) (sin phi1)) (* (sqrt (sin phi2)) (sin phi1)) (sin phi1) (* (sin phi2) (cbrt (sin phi1))) (* (sqrt (sin phi1)) (sin phi2)) (* (sin phi2) (sin phi1)) (real->posit16 (* (sin phi2) (sin phi1))) (- (cos (- lambda1 lambda2)) (cos (+ lambda2 lambda1))) (* (sin lambda1) (sin lambda2)) (log (* (sin lambda1) (sin lambda2))) (log (* (sin lambda1) (sin lambda2))) (exp (* (sin lambda1) (sin lambda2))) (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2))) (* (cbrt (* (sin lambda1) (sin lambda2))) (cbrt (* (sin lambda1) (sin lambda2)))) (cbrt (* (sin lambda1) (sin lambda2))) (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2))) (sqrt (* (sin lambda1) (sin lambda2))) (sqrt (* (sin lambda1) (sin lambda2))) (* (sqrt (sin lambda2)) (sqrt (sin lambda1))) (* (sqrt (sin lambda2)) (sqrt (sin lambda1))) (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (* (sin lambda1) (sqrt (sin lambda2))) (sin lambda1) (* (cbrt (sin lambda1)) (sin lambda2)) (* (sqrt (sin lambda1)) (sin lambda2)) (* (sin lambda1) (sin lambda2)) (real->posit16 (* (sin lambda1) (sin lambda2))) (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))) (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))) (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))) (* R (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (* R (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (* R (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (* phi1 phi2) (* (sin phi2) (sin phi1)) (* (sin phi2) (sin phi1)) (* lambda1 lambda2) (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)) 9.071 * * * [progress]: adding candidates to table 9.896 * * [progress]: iteration 3 / 4 9.896 * * * [progress]: picking best candidate 10.130 * * * * [pick]: Picked # 10.130 * * * [progress]: localizing error 10.197 * * * [progress]: generating rewritten candidates 10.197 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 2 2) 10.202 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 10.204 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 10.211 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 10.230 * * * [progress]: generating series expansions 10.230 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 2 2) 10.230 * [backup-simplify]: Simplify (log (exp (* (sin lambda1) (sin lambda2)))) into (* (sin lambda1) (sin lambda2)) 10.230 * [approximate]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in (lambda1 lambda2) around 0 10.230 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda2 10.230 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 10.230 * [taylor]: Taking taylor expansion of lambda1 in lambda2 10.231 * [backup-simplify]: Simplify lambda1 into lambda1 10.231 * [backup-simplify]: Simplify (sin lambda1) into (sin lambda1) 10.231 * [backup-simplify]: Simplify (cos lambda1) into (cos lambda1) 10.231 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 10.231 * [taylor]: Taking taylor expansion of lambda2 in lambda2 10.231 * [backup-simplify]: Simplify 0 into 0 10.231 * [backup-simplify]: Simplify 1 into 1 10.231 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 10.231 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 10.231 * [taylor]: Taking taylor expansion of lambda1 in lambda1 10.231 * [backup-simplify]: Simplify 0 into 0 10.231 * [backup-simplify]: Simplify 1 into 1 10.231 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 10.231 * [taylor]: Taking taylor expansion of lambda2 in lambda1 10.231 * [backup-simplify]: Simplify lambda2 into lambda2 10.231 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2) 10.231 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2) 10.231 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 10.231 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 10.231 * [taylor]: Taking taylor expansion of lambda1 in lambda1 10.231 * [backup-simplify]: Simplify 0 into 0 10.231 * [backup-simplify]: Simplify 1 into 1 10.231 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 10.231 * [taylor]: Taking taylor expansion of lambda2 in lambda1 10.231 * [backup-simplify]: Simplify lambda2 into lambda2 10.231 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2) 10.231 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2) 10.231 * [backup-simplify]: Simplify (* (sin lambda2) 1) into (sin lambda2) 10.231 * [backup-simplify]: Simplify (* (cos lambda2) 0) into 0 10.231 * [backup-simplify]: Simplify (+ (sin lambda2) 0) into (sin lambda2) 10.231 * [backup-simplify]: Simplify (* 0 (sin lambda2)) into 0 10.231 * [taylor]: Taking taylor expansion of 0 in lambda2 10.231 * [backup-simplify]: Simplify 0 into 0 10.231 * [backup-simplify]: Simplify 0 into 0 10.232 * [backup-simplify]: Simplify (+ 0) into 0 10.232 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (* 0 1)) into 0 10.233 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.233 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (* 0 0)) into 0 10.233 * [backup-simplify]: Simplify (+ 0 0) into 0 10.234 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 10.234 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin lambda2))) into (sin lambda2) 10.234 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 10.234 * [taylor]: Taking taylor expansion of lambda2 in lambda2 10.234 * [backup-simplify]: Simplify 0 into 0 10.234 * [backup-simplify]: Simplify 1 into 1 10.234 * [backup-simplify]: Simplify 0 into 0 10.234 * [backup-simplify]: Simplify 0 into 0 10.235 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.235 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (* 0 1))) into 0 10.236 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.236 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (* 0 0))) into 0 10.236 * [backup-simplify]: Simplify (+ 0 0) into 0 10.237 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.238 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin lambda2)))) into 0 10.238 * [taylor]: Taking taylor expansion of 0 in lambda2 10.238 * [backup-simplify]: Simplify 0 into 0 10.238 * [backup-simplify]: Simplify 0 into 0 10.238 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 10.238 * [backup-simplify]: Simplify 1 into 1 10.238 * [backup-simplify]: Simplify 0 into 0 10.239 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 10.239 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.240 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 10.240 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 10.241 * [backup-simplify]: Simplify (+ 0 0) into 0 10.241 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 10.242 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* -1/6 (sin lambda2))))) into (- (* 1/6 (sin lambda2))) 10.242 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin lambda2))) in lambda2 10.242 * [taylor]: Taking taylor expansion of (* 1/6 (sin lambda2)) in lambda2 10.242 * [taylor]: Taking taylor expansion of 1/6 in lambda2 10.242 * [backup-simplify]: Simplify 1/6 into 1/6 10.242 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 10.242 * [taylor]: Taking taylor expansion of lambda2 in lambda2 10.242 * [backup-simplify]: Simplify 0 into 0 10.242 * [backup-simplify]: Simplify 1 into 1 10.243 * [backup-simplify]: Simplify (* 1/6 0) into 0 10.243 * [backup-simplify]: Simplify (- 0) into 0 10.243 * [backup-simplify]: Simplify 0 into 0 10.243 * [backup-simplify]: Simplify 0 into 0 10.243 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.243 * [backup-simplify]: Simplify 0 into 0 10.244 * [backup-simplify]: Simplify 0 into 0 10.245 * [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 10.245 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 10.246 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 10.247 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 10.247 * [backup-simplify]: Simplify (+ 0 0) into 0 10.248 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 10.249 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* -1/6 0) (* 0 (sin lambda2)))))) into 0 10.249 * [taylor]: Taking taylor expansion of 0 in lambda2 10.249 * [backup-simplify]: Simplify 0 into 0 10.249 * [backup-simplify]: Simplify 0 into 0 10.249 * [backup-simplify]: Simplify (* 1 (* lambda2 lambda1)) into (* lambda2 lambda1) 10.249 * [backup-simplify]: Simplify (log (exp (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 10.249 * [approximate]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in (lambda1 lambda2) around 0 10.249 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda2 10.249 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 10.249 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 10.249 * [taylor]: Taking taylor expansion of lambda2 in lambda2 10.249 * [backup-simplify]: Simplify 0 into 0 10.249 * [backup-simplify]: Simplify 1 into 1 10.249 * [backup-simplify]: Simplify (/ 1 1) into 1 10.249 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 10.250 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 10.250 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 10.250 * [taylor]: Taking taylor expansion of lambda1 in lambda2 10.250 * [backup-simplify]: Simplify lambda1 into lambda1 10.250 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 10.250 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 10.250 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) 10.250 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda1 10.250 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 10.250 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 10.250 * [taylor]: Taking taylor expansion of lambda2 in lambda1 10.250 * [backup-simplify]: Simplify lambda2 into lambda2 10.250 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 10.250 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 10.250 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) 10.250 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 10.250 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 10.250 * [taylor]: Taking taylor expansion of lambda1 in lambda1 10.250 * [backup-simplify]: Simplify 0 into 0 10.250 * [backup-simplify]: Simplify 1 into 1 10.250 * [backup-simplify]: Simplify (/ 1 1) into 1 10.250 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 10.250 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda1 10.250 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 10.250 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 10.250 * [taylor]: Taking taylor expansion of lambda2 in lambda1 10.250 * [backup-simplify]: Simplify lambda2 into lambda2 10.250 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 10.250 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 10.250 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) 10.250 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 10.250 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 10.251 * [taylor]: Taking taylor expansion of lambda1 in lambda1 10.251 * [backup-simplify]: Simplify 0 into 0 10.251 * [backup-simplify]: Simplify 1 into 1 10.251 * [backup-simplify]: Simplify (/ 1 1) into 1 10.251 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 10.251 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) 1) into (sin (/ 1 lambda2)) 10.251 * [backup-simplify]: Simplify (* (cos (/ 1 lambda2)) 0) into 0 10.251 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda2)) 0) into (sin (/ 1 lambda2)) 10.251 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 10.251 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda2 10.251 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 10.251 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 10.251 * [taylor]: Taking taylor expansion of lambda2 in lambda2 10.251 * [backup-simplify]: Simplify 0 into 0 10.251 * [backup-simplify]: Simplify 1 into 1 10.251 * [backup-simplify]: Simplify (/ 1 1) into 1 10.252 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 10.252 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 10.252 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 10.252 * [taylor]: Taking taylor expansion of lambda1 in lambda2 10.252 * [backup-simplify]: Simplify lambda1 into lambda1 10.252 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 10.252 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 10.252 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) 10.252 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) 1) into (sin (/ 1 lambda1)) 10.252 * [backup-simplify]: Simplify (* (cos (/ 1 lambda1)) 0) into 0 10.252 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda1)) 0) into (sin (/ 1 lambda1)) 10.252 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 10.252 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 10.252 * [backup-simplify]: Simplify (+ 0) into 0 10.253 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 1)) into 0 10.253 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0 10.253 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.253 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (* 0 0)) into 0 10.254 * [backup-simplify]: Simplify (+ 0 0) into 0 10.254 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 (sin (/ 1 lambda1)))) into 0 10.254 * [taylor]: Taking taylor expansion of 0 in lambda2 10.254 * [backup-simplify]: Simplify 0 into 0 10.254 * [backup-simplify]: Simplify 0 into 0 10.254 * [backup-simplify]: Simplify (+ 0) into 0 10.254 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 1)) into 0 10.254 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)))) into 0 10.255 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.255 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (* 0 0)) into 0 10.255 * [backup-simplify]: Simplify (+ 0 0) into 0 10.256 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 (sin (/ 1 lambda1)))) into 0 10.256 * [backup-simplify]: Simplify 0 into 0 10.256 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.257 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0 10.257 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 10.257 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.257 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0 10.258 * [backup-simplify]: Simplify (+ 0 0) into 0 10.258 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1))))) into 0 10.258 * [taylor]: Taking taylor expansion of 0 in lambda2 10.258 * [backup-simplify]: Simplify 0 into 0 10.258 * [backup-simplify]: Simplify 0 into 0 10.258 * [backup-simplify]: Simplify 0 into 0 10.259 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.259 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0 10.259 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0 10.260 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.260 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0 10.260 * [backup-simplify]: Simplify (+ 0 0) into 0 10.261 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1))))) into 0 10.261 * [backup-simplify]: Simplify 0 into 0 10.261 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 10.262 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.262 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 10.263 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 10.263 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 10.263 * [backup-simplify]: Simplify (+ 0 0) into 0 10.264 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1)))))) into 0 10.264 * [taylor]: Taking taylor expansion of 0 in lambda2 10.264 * [backup-simplify]: Simplify 0 into 0 10.264 * [backup-simplify]: Simplify 0 into 0 10.264 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 lambda2))) (sin (/ 1 (/ 1 lambda1)))) into (* (sin lambda2) (sin lambda1)) 10.264 * [backup-simplify]: Simplify (log (exp (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 10.264 * [approximate]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in (lambda1 lambda2) around 0 10.264 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 10.264 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 10.264 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 10.264 * [taylor]: Taking taylor expansion of -1 in lambda2 10.264 * [backup-simplify]: Simplify -1 into -1 10.264 * [taylor]: Taking taylor expansion of lambda1 in lambda2 10.264 * [backup-simplify]: Simplify lambda1 into lambda1 10.264 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1) 10.264 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 10.264 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) 10.264 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 10.265 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 10.265 * [taylor]: Taking taylor expansion of -1 in lambda2 10.265 * [backup-simplify]: Simplify -1 into -1 10.265 * [taylor]: Taking taylor expansion of lambda2 in lambda2 10.265 * [backup-simplify]: Simplify 0 into 0 10.265 * [backup-simplify]: Simplify 1 into 1 10.265 * [backup-simplify]: Simplify (/ -1 1) into -1 10.265 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 10.265 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 10.265 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 10.265 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 10.265 * [taylor]: Taking taylor expansion of -1 in lambda1 10.265 * [backup-simplify]: Simplify -1 into -1 10.265 * [taylor]: Taking taylor expansion of lambda1 in lambda1 10.265 * [backup-simplify]: Simplify 0 into 0 10.265 * [backup-simplify]: Simplify 1 into 1 10.265 * [backup-simplify]: Simplify (/ -1 1) into -1 10.265 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 10.265 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 10.265 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 10.265 * [taylor]: Taking taylor expansion of -1 in lambda1 10.265 * [backup-simplify]: Simplify -1 into -1 10.265 * [taylor]: Taking taylor expansion of lambda2 in lambda1 10.265 * [backup-simplify]: Simplify lambda2 into lambda2 10.266 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2) 10.266 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 10.266 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2)) 10.266 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 10.266 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 10.266 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 10.266 * [taylor]: Taking taylor expansion of -1 in lambda1 10.266 * [backup-simplify]: Simplify -1 into -1 10.266 * [taylor]: Taking taylor expansion of lambda1 in lambda1 10.266 * [backup-simplify]: Simplify 0 into 0 10.266 * [backup-simplify]: Simplify 1 into 1 10.266 * [backup-simplify]: Simplify (/ -1 1) into -1 10.266 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 10.266 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 10.266 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 10.266 * [taylor]: Taking taylor expansion of -1 in lambda1 10.266 * [backup-simplify]: Simplify -1 into -1 10.266 * [taylor]: Taking taylor expansion of lambda2 in lambda1 10.266 * [backup-simplify]: Simplify lambda2 into lambda2 10.266 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2) 10.266 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 10.266 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2)) 10.266 * [backup-simplify]: Simplify (* (sin (/ -1 lambda2)) 1) into (sin (/ -1 lambda2)) 10.266 * [backup-simplify]: Simplify (* (cos (/ -1 lambda2)) 0) into 0 10.266 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda2)) 0) into (sin (/ -1 lambda2)) 10.267 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 10.267 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 10.267 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 10.267 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 10.267 * [taylor]: Taking taylor expansion of -1 in lambda2 10.267 * [backup-simplify]: Simplify -1 into -1 10.267 * [taylor]: Taking taylor expansion of lambda1 in lambda2 10.267 * [backup-simplify]: Simplify lambda1 into lambda1 10.267 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1) 10.267 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 10.267 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) 10.267 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 10.267 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 10.267 * [taylor]: Taking taylor expansion of -1 in lambda2 10.267 * [backup-simplify]: Simplify -1 into -1 10.267 * [taylor]: Taking taylor expansion of lambda2 in lambda2 10.267 * [backup-simplify]: Simplify 0 into 0 10.267 * [backup-simplify]: Simplify 1 into 1 10.267 * [backup-simplify]: Simplify (/ -1 1) into -1 10.267 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 10.267 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) 1) into (sin (/ -1 lambda1)) 10.267 * [backup-simplify]: Simplify (* (cos (/ -1 lambda1)) 0) into 0 10.268 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda1)) 0) into (sin (/ -1 lambda1)) 10.268 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 10.268 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 10.268 * [backup-simplify]: Simplify (+ 0) into 0 10.268 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (* 0 1)) into 0 10.268 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)))) into 0 10.269 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.269 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (* 0 0)) into 0 10.269 * [backup-simplify]: Simplify (+ 0 0) into 0 10.269 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (sin (/ -1 lambda2)))) into 0 10.269 * [taylor]: Taking taylor expansion of 0 in lambda2 10.269 * [backup-simplify]: Simplify 0 into 0 10.270 * [backup-simplify]: Simplify 0 into 0 10.270 * [backup-simplify]: Simplify (+ 0) into 0 10.270 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 1)) into 0 10.270 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)))) into 0 10.271 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.271 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (* 0 0)) into 0 10.271 * [backup-simplify]: Simplify (+ 0 0) into 0 10.271 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (sin (/ -1 lambda2)))) into 0 10.271 * [backup-simplify]: Simplify 0 into 0 10.272 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.272 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0 10.272 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 10.273 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.273 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0 10.273 * [backup-simplify]: Simplify (+ 0 0) into 0 10.274 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2))))) into 0 10.274 * [taylor]: Taking taylor expansion of 0 in lambda2 10.274 * [backup-simplify]: Simplify 0 into 0 10.274 * [backup-simplify]: Simplify 0 into 0 10.274 * [backup-simplify]: Simplify 0 into 0 10.274 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.275 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0 10.275 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0 10.275 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.276 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0 10.276 * [backup-simplify]: Simplify (+ 0 0) into 0 10.276 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2))))) into 0 10.276 * [backup-simplify]: Simplify 0 into 0 10.277 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 10.277 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.278 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 10.278 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 10.279 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 10.279 * [backup-simplify]: Simplify (+ 0 0) into 0 10.280 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2)))))) into 0 10.280 * [taylor]: Taking taylor expansion of 0 in lambda2 10.280 * [backup-simplify]: Simplify 0 into 0 10.280 * [backup-simplify]: Simplify 0 into 0 10.280 * [backup-simplify]: Simplify (* (sin (/ -1 (/ 1 (- lambda1)))) (sin (/ -1 (/ 1 (- lambda2))))) into (* (sin lambda1) (sin lambda2)) 10.280 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 10.280 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 10.280 * [approximate]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in (phi1 phi2 lambda1 lambda2) around 0 10.280 * [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 10.280 * [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))))) 10.281 * [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 10.281 * [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))))) 10.281 * [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 10.281 * [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))))) 10.281 * [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 10.281 * [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))))) 10.281 * [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 10.282 * [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))))) 10.282 * [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 10.282 * [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))))) 10.282 * [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 10.282 * [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))))) 10.282 * [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 10.283 * [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))))) 10.283 * [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))))) 10.283 * [taylor]: Taking taylor expansion of 0 in phi2 10.283 * [backup-simplify]: Simplify 0 into 0 10.283 * [taylor]: Taking taylor expansion of 0 in lambda1 10.283 * [backup-simplify]: Simplify 0 into 0 10.283 * [taylor]: Taking taylor expansion of 0 in lambda2 10.283 * [backup-simplify]: Simplify 0 into 0 10.283 * [backup-simplify]: Simplify 0 into 0 10.283 * [taylor]: Taking taylor expansion of 0 in lambda1 10.283 * [backup-simplify]: Simplify 0 into 0 10.283 * [taylor]: Taking taylor expansion of 0 in lambda2 10.283 * [backup-simplify]: Simplify 0 into 0 10.283 * [backup-simplify]: Simplify 0 into 0 10.283 * [taylor]: Taking taylor expansion of 0 in lambda2 10.283 * [backup-simplify]: Simplify 0 into 0 10.283 * [backup-simplify]: Simplify 0 into 0 10.283 * [backup-simplify]: Simplify 0 into 0 10.283 * [taylor]: Taking taylor expansion of 0 in phi2 10.283 * [backup-simplify]: Simplify 0 into 0 10.283 * [taylor]: Taking taylor expansion of 0 in lambda1 10.283 * [backup-simplify]: Simplify 0 into 0 10.283 * [taylor]: Taking taylor expansion of 0 in lambda2 10.283 * [backup-simplify]: Simplify 0 into 0 10.283 * [backup-simplify]: Simplify 0 into 0 10.283 * [taylor]: Taking taylor expansion of 0 in lambda1 10.283 * [backup-simplify]: Simplify 0 into 0 10.283 * [taylor]: Taking taylor expansion of 0 in lambda2 10.283 * [backup-simplify]: Simplify 0 into 0 10.283 * [backup-simplify]: Simplify 0 into 0 10.284 * [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))))) 10.284 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (log (exp (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 10.284 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in (phi1 phi2 lambda1 lambda2) around 0 10.284 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2 10.285 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 10.285 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1 10.285 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 10.285 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2 10.286 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 10.286 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1 10.286 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 10.286 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1 10.286 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 10.287 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2 10.287 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 10.287 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1 10.287 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 10.287 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2 10.288 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 10.288 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 10.288 * [taylor]: Taking taylor expansion of 0 in phi2 10.288 * [backup-simplify]: Simplify 0 into 0 10.288 * [taylor]: Taking taylor expansion of 0 in lambda1 10.288 * [backup-simplify]: Simplify 0 into 0 10.288 * [taylor]: Taking taylor expansion of 0 in lambda2 10.288 * [backup-simplify]: Simplify 0 into 0 10.288 * [backup-simplify]: Simplify 0 into 0 10.288 * [taylor]: Taking taylor expansion of 0 in lambda1 10.288 * [backup-simplify]: Simplify 0 into 0 10.288 * [taylor]: Taking taylor expansion of 0 in lambda2 10.288 * [backup-simplify]: Simplify 0 into 0 10.288 * [backup-simplify]: Simplify 0 into 0 10.288 * [taylor]: Taking taylor expansion of 0 in lambda2 10.288 * [backup-simplify]: Simplify 0 into 0 10.288 * [backup-simplify]: Simplify 0 into 0 10.289 * [backup-simplify]: Simplify 0 into 0 10.289 * [taylor]: Taking taylor expansion of 0 in phi2 10.289 * [backup-simplify]: Simplify 0 into 0 10.289 * [taylor]: Taking taylor expansion of 0 in lambda1 10.289 * [backup-simplify]: Simplify 0 into 0 10.289 * [taylor]: Taking taylor expansion of 0 in lambda2 10.289 * [backup-simplify]: Simplify 0 into 0 10.289 * [backup-simplify]: Simplify 0 into 0 10.289 * [taylor]: Taking taylor expansion of 0 in lambda1 10.289 * [backup-simplify]: Simplify 0 into 0 10.289 * [taylor]: Taking taylor expansion of 0 in lambda2 10.289 * [backup-simplify]: Simplify 0 into 0 10.289 * [backup-simplify]: Simplify 0 into 0 10.289 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 (/ 1 phi2))) (* (sin (/ 1 (/ 1 lambda2))) (* (sin (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1)))))) (+ (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1))))))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 10.290 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (log (exp (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 10.290 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in (phi1 phi2 lambda1 lambda2) around 0 10.290 * [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 10.290 * [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)))))))) 10.290 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1 10.291 * [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)))))))) 10.291 * [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 10.291 * [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)))))))) 10.291 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1 10.291 * [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)))))))) 10.291 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1 10.292 * [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)))))))) 10.292 * [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 10.292 * [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)))))))) 10.292 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1 10.293 * [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)))))))) 10.293 * [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 10.293 * [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)))))))) 10.293 * [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)))))))) 10.294 * [taylor]: Taking taylor expansion of 0 in phi2 10.294 * [backup-simplify]: Simplify 0 into 0 10.294 * [taylor]: Taking taylor expansion of 0 in lambda1 10.294 * [backup-simplify]: Simplify 0 into 0 10.294 * [taylor]: Taking taylor expansion of 0 in lambda2 10.294 * [backup-simplify]: Simplify 0 into 0 10.294 * [backup-simplify]: Simplify 0 into 0 10.294 * [taylor]: Taking taylor expansion of 0 in lambda1 10.294 * [backup-simplify]: Simplify 0 into 0 10.294 * [taylor]: Taking taylor expansion of 0 in lambda2 10.294 * [backup-simplify]: Simplify 0 into 0 10.294 * [backup-simplify]: Simplify 0 into 0 10.294 * [taylor]: Taking taylor expansion of 0 in lambda2 10.294 * [backup-simplify]: Simplify 0 into 0 10.294 * [backup-simplify]: Simplify 0 into 0 10.294 * [backup-simplify]: Simplify 0 into 0 10.294 * [taylor]: Taking taylor expansion of 0 in phi2 10.294 * [backup-simplify]: Simplify 0 into 0 10.294 * [taylor]: Taking taylor expansion of 0 in lambda1 10.294 * [backup-simplify]: Simplify 0 into 0 10.294 * [taylor]: Taking taylor expansion of 0 in lambda2 10.294 * [backup-simplify]: Simplify 0 into 0 10.294 * [backup-simplify]: Simplify 0 into 0 10.294 * [taylor]: Taking taylor expansion of 0 in lambda1 10.294 * [backup-simplify]: Simplify 0 into 0 10.294 * [taylor]: Taking taylor expansion of 0 in lambda2 10.294 * [backup-simplify]: Simplify 0 into 0 10.294 * [backup-simplify]: Simplify 0 into 0 10.295 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (sin (/ -1 (/ 1 (- lambda2))))))) (+ (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- lambda2)))) (cos (/ -1 (/ 1 (- phi2)))))))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 10.295 * * * * [progress]: [ 3 / 4 ] generating series at (2) 10.295 * [backup-simplify]: Simplify (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 10.295 * [approximate]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in (phi1 phi2 lambda1 lambda2 R) around 0 10.295 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in R 10.295 * [taylor]: Taking taylor expansion of R in R 10.295 * [backup-simplify]: Simplify 0 into 0 10.295 * [backup-simplify]: Simplify 1 into 1 10.295 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in R 10.295 * [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))))) 10.295 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda2 10.295 * [taylor]: Taking taylor expansion of R in lambda2 10.296 * [backup-simplify]: Simplify R into R 10.296 * [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 10.296 * [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))))) 10.296 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda1 10.296 * [taylor]: Taking taylor expansion of R in lambda1 10.296 * [backup-simplify]: Simplify R into R 10.296 * [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 10.296 * [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))))) 10.296 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi2 10.296 * [taylor]: Taking taylor expansion of R in phi2 10.296 * [backup-simplify]: Simplify R into R 10.296 * [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 10.296 * [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))))) 10.296 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi1 10.297 * [taylor]: Taking taylor expansion of R in phi1 10.297 * [backup-simplify]: Simplify R into R 10.297 * [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 10.297 * [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))))) 10.297 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi1 10.297 * [taylor]: Taking taylor expansion of R in phi1 10.297 * [backup-simplify]: Simplify R into R 10.297 * [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 10.297 * [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))))) 10.297 * [backup-simplify]: Simplify (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 10.298 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi2 10.298 * [taylor]: Taking taylor expansion of R in phi2 10.298 * [backup-simplify]: Simplify R into R 10.298 * [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 10.298 * [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))))) 10.298 * [backup-simplify]: Simplify (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 10.298 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda1 10.298 * [taylor]: Taking taylor expansion of R in lambda1 10.298 * [backup-simplify]: Simplify R into R 10.298 * [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 10.299 * [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))))) 10.299 * [backup-simplify]: Simplify (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 10.299 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda2 10.299 * [taylor]: Taking taylor expansion of R in lambda2 10.299 * [backup-simplify]: Simplify R into R 10.299 * [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 10.299 * [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))))) 10.299 * [backup-simplify]: Simplify (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 10.299 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in R 10.299 * [taylor]: Taking taylor expansion of R in R 10.300 * [backup-simplify]: Simplify 0 into 0 10.300 * [backup-simplify]: Simplify 1 into 1 10.300 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in R 10.300 * [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))))) 10.300 * [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 10.300 * [backup-simplify]: Simplify 0 into 0 10.300 * [backup-simplify]: Simplify (+ (* R 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into 0 10.300 * [taylor]: Taking taylor expansion of 0 in phi2 10.301 * [backup-simplify]: Simplify 0 into 0 10.301 * [taylor]: Taking taylor expansion of 0 in lambda1 10.301 * [backup-simplify]: Simplify 0 into 0 10.301 * [taylor]: Taking taylor expansion of 0 in lambda2 10.301 * [backup-simplify]: Simplify 0 into 0 10.301 * [taylor]: Taking taylor expansion of 0 in R 10.301 * [backup-simplify]: Simplify 0 into 0 10.301 * [backup-simplify]: Simplify 0 into 0 10.301 * [backup-simplify]: Simplify (+ (* R 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into 0 10.301 * [taylor]: Taking taylor expansion of 0 in lambda1 10.301 * [backup-simplify]: Simplify 0 into 0 10.301 * [taylor]: Taking taylor expansion of 0 in lambda2 10.301 * [backup-simplify]: Simplify 0 into 0 10.301 * [taylor]: Taking taylor expansion of 0 in R 10.301 * [backup-simplify]: Simplify 0 into 0 10.301 * [backup-simplify]: Simplify 0 into 0 10.304 * [backup-simplify]: Simplify (+ (* R 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into 0 10.304 * [taylor]: Taking taylor expansion of 0 in lambda2 10.304 * [backup-simplify]: Simplify 0 into 0 10.304 * [taylor]: Taking taylor expansion of 0 in R 10.304 * [backup-simplify]: Simplify 0 into 0 10.304 * [backup-simplify]: Simplify 0 into 0 10.304 * [backup-simplify]: Simplify (+ (* R 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into 0 10.305 * [taylor]: Taking taylor expansion of 0 in R 10.305 * [backup-simplify]: Simplify 0 into 0 10.305 * [backup-simplify]: Simplify 0 into 0 10.305 * [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))))) 10.306 * [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))))) 10.306 * [backup-simplify]: Simplify (+ (* R 0) (+ (* 0 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))))) into 0 10.306 * [taylor]: Taking taylor expansion of 0 in phi2 10.306 * [backup-simplify]: Simplify 0 into 0 10.306 * [taylor]: Taking taylor expansion of 0 in lambda1 10.306 * [backup-simplify]: Simplify 0 into 0 10.306 * [taylor]: Taking taylor expansion of 0 in lambda2 10.306 * [backup-simplify]: Simplify 0 into 0 10.306 * [taylor]: Taking taylor expansion of 0 in R 10.307 * [backup-simplify]: Simplify 0 into 0 10.307 * [backup-simplify]: Simplify 0 into 0 10.307 * [taylor]: Taking taylor expansion of 0 in lambda1 10.307 * [backup-simplify]: Simplify 0 into 0 10.307 * [taylor]: Taking taylor expansion of 0 in lambda2 10.307 * [backup-simplify]: Simplify 0 into 0 10.307 * [taylor]: Taking taylor expansion of 0 in R 10.307 * [backup-simplify]: Simplify 0 into 0 10.307 * [backup-simplify]: Simplify 0 into 0 10.307 * [backup-simplify]: Simplify (+ (* R 0) (+ (* 0 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))))) into 0 10.307 * [taylor]: Taking taylor expansion of 0 in lambda1 10.307 * [backup-simplify]: Simplify 0 into 0 10.307 * [taylor]: Taking taylor expansion of 0 in lambda2 10.307 * [backup-simplify]: Simplify 0 into 0 10.307 * [taylor]: Taking taylor expansion of 0 in R 10.307 * [backup-simplify]: Simplify 0 into 0 10.307 * [backup-simplify]: Simplify 0 into 0 10.307 * [taylor]: Taking taylor expansion of 0 in lambda2 10.307 * [backup-simplify]: Simplify 0 into 0 10.307 * [taylor]: Taking taylor expansion of 0 in R 10.307 * [backup-simplify]: Simplify 0 into 0 10.307 * [backup-simplify]: Simplify 0 into 0 10.308 * [taylor]: Taking taylor expansion of 0 in lambda2 10.308 * [backup-simplify]: Simplify 0 into 0 10.308 * [taylor]: Taking taylor expansion of 0 in R 10.308 * [backup-simplify]: Simplify 0 into 0 10.308 * [backup-simplify]: Simplify 0 into 0 10.308 * [backup-simplify]: Simplify (+ (* R 0) (+ (* 0 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))))) into 0 10.308 * [taylor]: Taking taylor expansion of 0 in lambda2 10.308 * [backup-simplify]: Simplify 0 into 0 10.308 * [taylor]: Taking taylor expansion of 0 in R 10.308 * [backup-simplify]: Simplify 0 into 0 10.308 * [backup-simplify]: Simplify 0 into 0 10.309 * [backup-simplify]: Simplify (* (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (* R (* 1 (* 1 (* 1 1))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 10.309 * [backup-simplify]: Simplify (* (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (log (exp (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))))))) (/ 1 R)) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) 10.309 * [approximate]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 10.309 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in R 10.310 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in R 10.310 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 10.310 * [taylor]: Taking taylor expansion of R in R 10.310 * [backup-simplify]: Simplify 0 into 0 10.310 * [backup-simplify]: Simplify 1 into 1 10.310 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 1) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 10.310 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in lambda2 10.310 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2 10.311 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 10.311 * [taylor]: Taking taylor expansion of R in lambda2 10.311 * [backup-simplify]: Simplify R into R 10.311 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) 10.311 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in lambda1 10.311 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1 10.312 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 10.312 * [taylor]: Taking taylor expansion of R in lambda1 10.312 * [backup-simplify]: Simplify R into R 10.312 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) 10.312 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in phi2 10.312 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2 10.313 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 10.313 * [taylor]: Taking taylor expansion of R in phi2 10.313 * [backup-simplify]: Simplify R into R 10.313 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) 10.313 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in phi1 10.313 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1 10.313 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 10.313 * [taylor]: Taking taylor expansion of R in phi1 10.314 * [backup-simplify]: Simplify R into R 10.314 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) 10.314 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in phi1 10.314 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1 10.314 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 10.314 * [taylor]: Taking taylor expansion of R in phi1 10.314 * [backup-simplify]: Simplify R into R 10.315 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) 10.315 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in phi2 10.315 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2 10.315 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 10.315 * [taylor]: Taking taylor expansion of R in phi2 10.315 * [backup-simplify]: Simplify R into R 10.316 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) 10.316 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in lambda1 10.316 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1 10.316 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 10.316 * [taylor]: Taking taylor expansion of R in lambda1 10.316 * [backup-simplify]: Simplify R into R 10.317 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) 10.317 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in lambda2 10.317 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2 10.317 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 10.317 * [taylor]: Taking taylor expansion of R in lambda2 10.317 * [backup-simplify]: Simplify R into R 10.317 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) 10.318 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in R 10.318 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in R 10.318 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 10.318 * [taylor]: Taking taylor expansion of R in R 10.318 * [backup-simplify]: Simplify 0 into 0 10.318 * [backup-simplify]: Simplify 1 into 1 10.318 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 1) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 10.319 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 10.319 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)))) into 0 10.319 * [taylor]: Taking taylor expansion of 0 in phi2 10.319 * [backup-simplify]: Simplify 0 into 0 10.319 * [taylor]: Taking taylor expansion of 0 in lambda1 10.319 * [backup-simplify]: Simplify 0 into 0 10.319 * [taylor]: Taking taylor expansion of 0 in lambda2 10.320 * [backup-simplify]: Simplify 0 into 0 10.320 * [taylor]: Taking taylor expansion of 0 in R 10.320 * [backup-simplify]: Simplify 0 into 0 10.320 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)))) into 0 10.320 * [taylor]: Taking taylor expansion of 0 in lambda1 10.320 * [backup-simplify]: Simplify 0 into 0 10.320 * [taylor]: Taking taylor expansion of 0 in lambda2 10.320 * [backup-simplify]: Simplify 0 into 0 10.320 * [taylor]: Taking taylor expansion of 0 in R 10.320 * [backup-simplify]: Simplify 0 into 0 10.321 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)))) into 0 10.321 * [taylor]: Taking taylor expansion of 0 in lambda2 10.321 * [backup-simplify]: Simplify 0 into 0 10.321 * [taylor]: Taking taylor expansion of 0 in R 10.321 * [backup-simplify]: Simplify 0 into 0 10.321 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)))) into 0 10.321 * [taylor]: Taking taylor expansion of 0 in R 10.321 * [backup-simplify]: Simplify 0 into 0 10.322 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) (/ 0 1)))) into 0 10.322 * [backup-simplify]: Simplify 0 into 0 10.323 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 10.323 * [taylor]: Taking taylor expansion of 0 in phi2 10.323 * [backup-simplify]: Simplify 0 into 0 10.323 * [taylor]: Taking taylor expansion of 0 in lambda1 10.323 * [backup-simplify]: Simplify 0 into 0 10.323 * [taylor]: Taking taylor expansion of 0 in lambda2 10.323 * [backup-simplify]: Simplify 0 into 0 10.323 * [taylor]: Taking taylor expansion of 0 in R 10.323 * [backup-simplify]: Simplify 0 into 0 10.323 * [taylor]: Taking taylor expansion of 0 in lambda1 10.323 * [backup-simplify]: Simplify 0 into 0 10.323 * [taylor]: Taking taylor expansion of 0 in lambda2 10.323 * [backup-simplify]: Simplify 0 into 0 10.323 * [taylor]: Taking taylor expansion of 0 in R 10.323 * [backup-simplify]: Simplify 0 into 0 10.324 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 10.324 * [taylor]: Taking taylor expansion of 0 in lambda1 10.324 * [backup-simplify]: Simplify 0 into 0 10.324 * [taylor]: Taking taylor expansion of 0 in lambda2 10.324 * [backup-simplify]: Simplify 0 into 0 10.324 * [taylor]: Taking taylor expansion of 0 in R 10.324 * [backup-simplify]: Simplify 0 into 0 10.324 * [taylor]: Taking taylor expansion of 0 in lambda2 10.324 * [backup-simplify]: Simplify 0 into 0 10.324 * [taylor]: Taking taylor expansion of 0 in R 10.324 * [backup-simplify]: Simplify 0 into 0 10.324 * [taylor]: Taking taylor expansion of 0 in lambda2 10.324 * [backup-simplify]: Simplify 0 into 0 10.324 * [taylor]: Taking taylor expansion of 0 in R 10.324 * [backup-simplify]: Simplify 0 into 0 10.324 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 10.324 * [taylor]: Taking taylor expansion of 0 in lambda2 10.324 * [backup-simplify]: Simplify 0 into 0 10.325 * [taylor]: Taking taylor expansion of 0 in R 10.325 * [backup-simplify]: Simplify 0 into 0 10.325 * [taylor]: Taking taylor expansion of 0 in R 10.325 * [backup-simplify]: Simplify 0 into 0 10.325 * [taylor]: Taking taylor expansion of 0 in R 10.325 * [backup-simplify]: Simplify 0 into 0 10.325 * [taylor]: Taking taylor expansion of 0 in R 10.325 * [backup-simplify]: Simplify 0 into 0 10.325 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 10.325 * [taylor]: Taking taylor expansion of 0 in R 10.325 * [backup-simplify]: Simplify 0 into 0 10.325 * [backup-simplify]: Simplify 0 into 0 10.325 * [backup-simplify]: Simplify 0 into 0 10.325 * [backup-simplify]: Simplify 0 into 0 10.325 * [backup-simplify]: Simplify 0 into 0 10.327 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.327 * [backup-simplify]: Simplify 0 into 0 10.328 * [backup-simplify]: Simplify (* (acos (+ (* (cos (/ 1 (/ 1 phi2))) (* (sin (/ 1 (/ 1 lambda2))) (* (sin (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1)))))) (+ (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1))))))))) (* (/ 1 (/ 1 R)) (* 1 (* 1 (* 1 1))))) into (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) 10.328 * [backup-simplify]: Simplify (* (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (log (exp (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))))) (/ 1 (- R))) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) 10.328 * [approximate]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in (phi1 phi2 lambda1 lambda2 R) around 0 10.328 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in R 10.328 * [taylor]: Taking taylor expansion of -1 in R 10.329 * [backup-simplify]: Simplify -1 into -1 10.329 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in R 10.329 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in R 10.329 * [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)))))))) 10.329 * [taylor]: Taking taylor expansion of R in R 10.329 * [backup-simplify]: Simplify 0 into 0 10.329 * [backup-simplify]: Simplify 1 into 1 10.329 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 1) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 10.329 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in lambda2 10.329 * [taylor]: Taking taylor expansion of -1 in lambda2 10.329 * [backup-simplify]: Simplify -1 into -1 10.329 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in lambda2 10.330 * [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 10.330 * [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)))))))) 10.330 * [taylor]: Taking taylor expansion of R in lambda2 10.330 * [backup-simplify]: Simplify R into R 10.330 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) 10.330 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in lambda1 10.330 * [taylor]: Taking taylor expansion of -1 in lambda1 10.330 * [backup-simplify]: Simplify -1 into -1 10.330 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in lambda1 10.330 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1 10.331 * [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)))))))) 10.331 * [taylor]: Taking taylor expansion of R in lambda1 10.331 * [backup-simplify]: Simplify R into R 10.331 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) 10.331 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in phi2 10.331 * [taylor]: Taking taylor expansion of -1 in phi2 10.331 * [backup-simplify]: Simplify -1 into -1 10.331 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in phi2 10.331 * [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 10.332 * [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)))))))) 10.332 * [taylor]: Taking taylor expansion of R in phi2 10.332 * [backup-simplify]: Simplify R into R 10.332 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) 10.332 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in phi1 10.332 * [taylor]: Taking taylor expansion of -1 in phi1 10.332 * [backup-simplify]: Simplify -1 into -1 10.332 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in phi1 10.332 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1 10.333 * [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)))))))) 10.333 * [taylor]: Taking taylor expansion of R in phi1 10.333 * [backup-simplify]: Simplify R into R 10.333 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) 10.333 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in phi1 10.333 * [taylor]: Taking taylor expansion of -1 in phi1 10.333 * [backup-simplify]: Simplify -1 into -1 10.333 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in phi1 10.333 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1 10.334 * [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)))))))) 10.334 * [taylor]: Taking taylor expansion of R in phi1 10.334 * [backup-simplify]: Simplify R into R 10.334 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) 10.335 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)) 10.335 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)) in phi2 10.335 * [taylor]: Taking taylor expansion of -1 in phi2 10.335 * [backup-simplify]: Simplify -1 into -1 10.335 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) in phi2 10.335 * [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 10.335 * [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)))))))) 10.335 * [taylor]: Taking taylor expansion of R in phi2 10.335 * [backup-simplify]: Simplify R into R 10.336 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) 10.336 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) 10.336 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in lambda1 10.336 * [taylor]: Taking taylor expansion of -1 in lambda1 10.336 * [backup-simplify]: Simplify -1 into -1 10.336 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in lambda1 10.336 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1 10.337 * [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)))))))) 10.337 * [taylor]: Taking taylor expansion of R in lambda1 10.337 * [backup-simplify]: Simplify R into R 10.337 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) 10.338 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)) 10.338 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)) in lambda2 10.338 * [taylor]: Taking taylor expansion of -1 in lambda2 10.338 * [backup-simplify]: Simplify -1 into -1 10.338 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) in lambda2 10.338 * [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 10.338 * [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)))))))) 10.338 * [taylor]: Taking taylor expansion of R in lambda2 10.338 * [backup-simplify]: Simplify R into R 10.339 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) 10.339 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) 10.339 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in R 10.339 * [taylor]: Taking taylor expansion of -1 in R 10.339 * [backup-simplify]: Simplify -1 into -1 10.339 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in R 10.339 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in R 10.340 * [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)))))))) 10.340 * [taylor]: Taking taylor expansion of R in R 10.340 * [backup-simplify]: Simplify 0 into 0 10.340 * [backup-simplify]: Simplify 1 into 1 10.340 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 1) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 10.341 * [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))))))))) 10.341 * [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))))))))) 10.342 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) (/ 0 R)))) into 0 10.342 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R))) into 0 10.342 * [taylor]: Taking taylor expansion of 0 in phi2 10.342 * [backup-simplify]: Simplify 0 into 0 10.343 * [taylor]: Taking taylor expansion of 0 in lambda1 10.343 * [backup-simplify]: Simplify 0 into 0 10.343 * [taylor]: Taking taylor expansion of 0 in lambda2 10.343 * [backup-simplify]: Simplify 0 into 0 10.343 * [taylor]: Taking taylor expansion of 0 in R 10.343 * [backup-simplify]: Simplify 0 into 0 10.343 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) (/ 0 R)))) into 0 10.344 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R))) into 0 10.344 * [taylor]: Taking taylor expansion of 0 in lambda1 10.344 * [backup-simplify]: Simplify 0 into 0 10.344 * [taylor]: Taking taylor expansion of 0 in lambda2 10.344 * [backup-simplify]: Simplify 0 into 0 10.344 * [taylor]: Taking taylor expansion of 0 in R 10.344 * [backup-simplify]: Simplify 0 into 0 10.344 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) (/ 0 R)))) into 0 10.345 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R))) into 0 10.345 * [taylor]: Taking taylor expansion of 0 in lambda2 10.345 * [backup-simplify]: Simplify 0 into 0 10.345 * [taylor]: Taking taylor expansion of 0 in R 10.345 * [backup-simplify]: Simplify 0 into 0 10.346 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) (/ 0 R)))) into 0 10.347 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R))) into 0 10.347 * [taylor]: Taking taylor expansion of 0 in R 10.347 * [backup-simplify]: Simplify 0 into 0 10.348 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) (/ 0 1)))) into 0 10.348 * [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 10.348 * [backup-simplify]: Simplify 0 into 0 10.349 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 10.350 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)))) into 0 10.350 * [taylor]: Taking taylor expansion of 0 in phi2 10.350 * [backup-simplify]: Simplify 0 into 0 10.350 * [taylor]: Taking taylor expansion of 0 in lambda1 10.350 * [backup-simplify]: Simplify 0 into 0 10.350 * [taylor]: Taking taylor expansion of 0 in lambda2 10.350 * [backup-simplify]: Simplify 0 into 0 10.350 * [taylor]: Taking taylor expansion of 0 in R 10.350 * [backup-simplify]: Simplify 0 into 0 10.350 * [taylor]: Taking taylor expansion of 0 in lambda1 10.350 * [backup-simplify]: Simplify 0 into 0 10.350 * [taylor]: Taking taylor expansion of 0 in lambda2 10.350 * [backup-simplify]: Simplify 0 into 0 10.350 * [taylor]: Taking taylor expansion of 0 in R 10.350 * [backup-simplify]: Simplify 0 into 0 10.351 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 10.352 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)))) into 0 10.352 * [taylor]: Taking taylor expansion of 0 in lambda1 10.352 * [backup-simplify]: Simplify 0 into 0 10.352 * [taylor]: Taking taylor expansion of 0 in lambda2 10.352 * [backup-simplify]: Simplify 0 into 0 10.352 * [taylor]: Taking taylor expansion of 0 in R 10.352 * [backup-simplify]: Simplify 0 into 0 10.352 * [taylor]: Taking taylor expansion of 0 in lambda2 10.352 * [backup-simplify]: Simplify 0 into 0 10.352 * [taylor]: Taking taylor expansion of 0 in R 10.352 * [backup-simplify]: Simplify 0 into 0 10.352 * [taylor]: Taking taylor expansion of 0 in lambda2 10.352 * [backup-simplify]: Simplify 0 into 0 10.352 * [taylor]: Taking taylor expansion of 0 in R 10.352 * [backup-simplify]: Simplify 0 into 0 10.353 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 10.354 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)))) into 0 10.354 * [taylor]: Taking taylor expansion of 0 in lambda2 10.354 * [backup-simplify]: Simplify 0 into 0 10.354 * [taylor]: Taking taylor expansion of 0 in R 10.354 * [backup-simplify]: Simplify 0 into 0 10.354 * [taylor]: Taking taylor expansion of 0 in R 10.354 * [backup-simplify]: Simplify 0 into 0 10.354 * [taylor]: Taking taylor expansion of 0 in R 10.354 * [backup-simplify]: Simplify 0 into 0 10.354 * [taylor]: Taking taylor expansion of 0 in R 10.354 * [backup-simplify]: Simplify 0 into 0 10.354 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 10.355 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)))) into 0 10.355 * [taylor]: Taking taylor expansion of 0 in R 10.355 * [backup-simplify]: Simplify 0 into 0 10.355 * [backup-simplify]: Simplify 0 into 0 10.355 * [backup-simplify]: Simplify 0 into 0 10.355 * [backup-simplify]: Simplify 0 into 0 10.355 * [backup-simplify]: Simplify 0 into 0 10.357 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.358 * [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 10.358 * [backup-simplify]: Simplify 0 into 0 10.359 * [backup-simplify]: Simplify (* (* -1 (acos (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (sin (/ -1 (/ 1 (- lambda2))))))) (+ (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (cos (/ -1 (/ 1 (- lambda2))))))))))) (* (/ 1 (/ 1 (- R))) (* 1 (* 1 (* 1 1))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 10.359 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 10.359 * [backup-simplify]: Simplify (* (sin phi1) (sin phi2)) into (* (sin phi1) (sin phi2)) 10.359 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 10.359 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 10.359 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 10.359 * [taylor]: Taking taylor expansion of phi1 in phi2 10.359 * [backup-simplify]: Simplify phi1 into phi1 10.359 * [backup-simplify]: Simplify (sin phi1) into (sin phi1) 10.359 * [backup-simplify]: Simplify (cos phi1) into (cos phi1) 10.359 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 10.359 * [taylor]: Taking taylor expansion of phi2 in phi2 10.359 * [backup-simplify]: Simplify 0 into 0 10.359 * [backup-simplify]: Simplify 1 into 1 10.359 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 10.359 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 10.359 * [taylor]: Taking taylor expansion of phi1 in phi1 10.359 * [backup-simplify]: Simplify 0 into 0 10.359 * [backup-simplify]: Simplify 1 into 1 10.359 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 10.359 * [taylor]: Taking taylor expansion of phi2 in phi1 10.359 * [backup-simplify]: Simplify phi2 into phi2 10.359 * [backup-simplify]: Simplify (sin phi2) into (sin phi2) 10.359 * [backup-simplify]: Simplify (cos phi2) into (cos phi2) 10.359 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 10.359 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 10.359 * [taylor]: Taking taylor expansion of phi1 in phi1 10.359 * [backup-simplify]: Simplify 0 into 0 10.359 * [backup-simplify]: Simplify 1 into 1 10.359 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 10.359 * [taylor]: Taking taylor expansion of phi2 in phi1 10.359 * [backup-simplify]: Simplify phi2 into phi2 10.359 * [backup-simplify]: Simplify (sin phi2) into (sin phi2) 10.359 * [backup-simplify]: Simplify (cos phi2) into (cos phi2) 10.359 * [backup-simplify]: Simplify (* (sin phi2) 1) into (sin phi2) 10.359 * [backup-simplify]: Simplify (* (cos phi2) 0) into 0 10.359 * [backup-simplify]: Simplify (+ (sin phi2) 0) into (sin phi2) 10.360 * [backup-simplify]: Simplify (* 0 (sin phi2)) into 0 10.360 * [taylor]: Taking taylor expansion of 0 in phi2 10.360 * [backup-simplify]: Simplify 0 into 0 10.360 * [backup-simplify]: Simplify 0 into 0 10.360 * [backup-simplify]: Simplify (+ 0) into 0 10.360 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (* 0 1)) into 0 10.361 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.361 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (* 0 0)) into 0 10.361 * [backup-simplify]: Simplify (+ 0 0) into 0 10.362 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 10.362 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin phi2))) into (sin phi2) 10.362 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 10.362 * [taylor]: Taking taylor expansion of phi2 in phi2 10.362 * [backup-simplify]: Simplify 0 into 0 10.362 * [backup-simplify]: Simplify 1 into 1 10.362 * [backup-simplify]: Simplify 0 into 0 10.362 * [backup-simplify]: Simplify 0 into 0 10.362 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.363 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (* 0 1))) into 0 10.363 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.364 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (* 0 0))) into 0 10.364 * [backup-simplify]: Simplify (+ 0 0) into 0 10.364 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.365 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin phi2)))) into 0 10.365 * [taylor]: Taking taylor expansion of 0 in phi2 10.365 * [backup-simplify]: Simplify 0 into 0 10.365 * [backup-simplify]: Simplify 0 into 0 10.365 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 10.365 * [backup-simplify]: Simplify 1 into 1 10.365 * [backup-simplify]: Simplify 0 into 0 10.366 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 10.366 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.367 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 10.368 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 10.368 * [backup-simplify]: Simplify (+ 0 0) into 0 10.369 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 10.370 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* -1/6 (sin phi2))))) into (- (* 1/6 (sin phi2))) 10.370 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2 10.370 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 10.370 * [taylor]: Taking taylor expansion of 1/6 in phi2 10.370 * [backup-simplify]: Simplify 1/6 into 1/6 10.370 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 10.370 * [taylor]: Taking taylor expansion of phi2 in phi2 10.370 * [backup-simplify]: Simplify 0 into 0 10.370 * [backup-simplify]: Simplify 1 into 1 10.370 * [backup-simplify]: Simplify (* 1/6 0) into 0 10.370 * [backup-simplify]: Simplify (- 0) into 0 10.370 * [backup-simplify]: Simplify 0 into 0 10.370 * [backup-simplify]: Simplify 0 into 0 10.371 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.371 * [backup-simplify]: Simplify 0 into 0 10.371 * [backup-simplify]: Simplify 0 into 0 10.374 * [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 10.375 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 10.376 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 10.377 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 10.377 * [backup-simplify]: Simplify (+ 0 0) into 0 10.379 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 10.380 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* -1/6 0) (* 0 (sin phi2)))))) into 0 10.380 * [taylor]: Taking taylor expansion of 0 in phi2 10.380 * [backup-simplify]: Simplify 0 into 0 10.381 * [backup-simplify]: Simplify 0 into 0 10.381 * [backup-simplify]: Simplify (* 1 (* phi2 phi1)) into (* phi1 phi2) 10.381 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 10.381 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in (phi1 phi2) around 0 10.381 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi2 10.381 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 10.381 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 10.381 * [taylor]: Taking taylor expansion of phi2 in phi2 10.381 * [backup-simplify]: Simplify 0 into 0 10.381 * [backup-simplify]: Simplify 1 into 1 10.381 * [backup-simplify]: Simplify (/ 1 1) into 1 10.381 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 10.381 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 10.382 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 10.382 * [taylor]: Taking taylor expansion of phi1 in phi2 10.382 * [backup-simplify]: Simplify phi1 into phi1 10.382 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 10.382 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 10.382 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 10.382 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi1 10.382 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 10.382 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 10.382 * [taylor]: Taking taylor expansion of phi2 in phi1 10.382 * [backup-simplify]: Simplify phi2 into phi2 10.382 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 10.382 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 10.382 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 10.382 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 10.382 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 10.382 * [taylor]: Taking taylor expansion of phi1 in phi1 10.382 * [backup-simplify]: Simplify 0 into 0 10.382 * [backup-simplify]: Simplify 1 into 1 10.385 * [backup-simplify]: Simplify (/ 1 1) into 1 10.386 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 10.386 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi1 10.386 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 10.386 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 10.386 * [taylor]: Taking taylor expansion of phi2 in phi1 10.386 * [backup-simplify]: Simplify phi2 into phi2 10.386 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 10.386 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 10.386 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 10.386 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 10.386 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 10.386 * [taylor]: Taking taylor expansion of phi1 in phi1 10.386 * [backup-simplify]: Simplify 0 into 0 10.386 * [backup-simplify]: Simplify 1 into 1 10.387 * [backup-simplify]: Simplify (/ 1 1) into 1 10.387 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 10.387 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) 1) into (sin (/ 1 phi2)) 10.387 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) 0) into 0 10.387 * [backup-simplify]: Simplify (+ (sin (/ 1 phi2)) 0) into (sin (/ 1 phi2)) 10.387 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 10.387 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi2 10.387 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 10.387 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 10.387 * [taylor]: Taking taylor expansion of phi2 in phi2 10.388 * [backup-simplify]: Simplify 0 into 0 10.388 * [backup-simplify]: Simplify 1 into 1 10.388 * [backup-simplify]: Simplify (/ 1 1) into 1 10.388 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 10.388 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 10.388 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 10.388 * [taylor]: Taking taylor expansion of phi1 in phi2 10.388 * [backup-simplify]: Simplify phi1 into phi1 10.388 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 10.388 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 10.388 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 10.388 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) 1) into (sin (/ 1 phi1)) 10.389 * [backup-simplify]: Simplify (* (cos (/ 1 phi1)) 0) into 0 10.389 * [backup-simplify]: Simplify (+ (sin (/ 1 phi1)) 0) into (sin (/ 1 phi1)) 10.389 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 10.389 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 10.389 * [backup-simplify]: Simplify (+ 0) into 0 10.390 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 1)) into 0 10.390 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 10.391 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.391 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 0)) into 0 10.392 * [backup-simplify]: Simplify (+ 0 0) into 0 10.392 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 (sin (/ 1 phi1)))) into 0 10.392 * [taylor]: Taking taylor expansion of 0 in phi2 10.392 * [backup-simplify]: Simplify 0 into 0 10.392 * [backup-simplify]: Simplify 0 into 0 10.392 * [backup-simplify]: Simplify (+ 0) into 0 10.393 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 1)) into 0 10.393 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 10.394 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.394 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (* 0 0)) into 0 10.395 * [backup-simplify]: Simplify (+ 0 0) into 0 10.395 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 (sin (/ 1 phi1)))) into 0 10.395 * [backup-simplify]: Simplify 0 into 0 10.396 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.397 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0 10.397 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 10.398 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.399 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0 10.399 * [backup-simplify]: Simplify (+ 0 0) into 0 10.400 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1))))) into 0 10.400 * [taylor]: Taking taylor expansion of 0 in phi2 10.400 * [backup-simplify]: Simplify 0 into 0 10.400 * [backup-simplify]: Simplify 0 into 0 10.400 * [backup-simplify]: Simplify 0 into 0 10.401 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.401 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0 10.402 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 10.402 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.403 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0 10.403 * [backup-simplify]: Simplify (+ 0 0) into 0 10.404 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1))))) into 0 10.404 * [backup-simplify]: Simplify 0 into 0 10.405 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 10.406 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.406 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 10.408 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 10.408 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 10.409 * [backup-simplify]: Simplify (+ 0 0) into 0 10.410 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1)))))) into 0 10.410 * [taylor]: Taking taylor expansion of 0 in phi2 10.410 * [backup-simplify]: Simplify 0 into 0 10.410 * [backup-simplify]: Simplify 0 into 0 10.410 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) into (* (sin phi1) (sin phi2)) 10.410 * [backup-simplify]: Simplify (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 10.410 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 10.410 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 10.410 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 10.410 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 10.410 * [taylor]: Taking taylor expansion of -1 in phi2 10.410 * [backup-simplify]: Simplify -1 into -1 10.410 * [taylor]: Taking taylor expansion of phi1 in phi2 10.410 * [backup-simplify]: Simplify phi1 into phi1 10.410 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1) 10.411 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 10.411 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 10.411 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 10.411 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 10.411 * [taylor]: Taking taylor expansion of -1 in phi2 10.411 * [backup-simplify]: Simplify -1 into -1 10.411 * [taylor]: Taking taylor expansion of phi2 in phi2 10.411 * [backup-simplify]: Simplify 0 into 0 10.411 * [backup-simplify]: Simplify 1 into 1 10.411 * [backup-simplify]: Simplify (/ -1 1) into -1 10.411 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 10.411 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 10.411 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 10.412 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 10.412 * [taylor]: Taking taylor expansion of -1 in phi1 10.412 * [backup-simplify]: Simplify -1 into -1 10.412 * [taylor]: Taking taylor expansion of phi1 in phi1 10.412 * [backup-simplify]: Simplify 0 into 0 10.412 * [backup-simplify]: Simplify 1 into 1 10.412 * [backup-simplify]: Simplify (/ -1 1) into -1 10.412 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 10.412 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 10.412 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 10.412 * [taylor]: Taking taylor expansion of -1 in phi1 10.412 * [backup-simplify]: Simplify -1 into -1 10.412 * [taylor]: Taking taylor expansion of phi2 in phi1 10.412 * [backup-simplify]: Simplify phi2 into phi2 10.412 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2) 10.412 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 10.413 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 10.413 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 10.413 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 10.413 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 10.413 * [taylor]: Taking taylor expansion of -1 in phi1 10.413 * [backup-simplify]: Simplify -1 into -1 10.413 * [taylor]: Taking taylor expansion of phi1 in phi1 10.413 * [backup-simplify]: Simplify 0 into 0 10.413 * [backup-simplify]: Simplify 1 into 1 10.413 * [backup-simplify]: Simplify (/ -1 1) into -1 10.413 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 10.413 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 10.413 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 10.413 * [taylor]: Taking taylor expansion of -1 in phi1 10.413 * [backup-simplify]: Simplify -1 into -1 10.414 * [taylor]: Taking taylor expansion of phi2 in phi1 10.414 * [backup-simplify]: Simplify phi2 into phi2 10.414 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2) 10.414 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 10.414 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 10.414 * [backup-simplify]: Simplify (* (sin (/ -1 phi2)) 1) into (sin (/ -1 phi2)) 10.414 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) 0) into 0 10.414 * [backup-simplify]: Simplify (+ (sin (/ -1 phi2)) 0) into (sin (/ -1 phi2)) 10.414 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 10.414 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 10.414 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 10.414 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 10.414 * [taylor]: Taking taylor expansion of -1 in phi2 10.414 * [backup-simplify]: Simplify -1 into -1 10.414 * [taylor]: Taking taylor expansion of phi1 in phi2 10.414 * [backup-simplify]: Simplify phi1 into phi1 10.415 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1) 10.415 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 10.415 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 10.415 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 10.415 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 10.415 * [taylor]: Taking taylor expansion of -1 in phi2 10.415 * [backup-simplify]: Simplify -1 into -1 10.415 * [taylor]: Taking taylor expansion of phi2 in phi2 10.415 * [backup-simplify]: Simplify 0 into 0 10.415 * [backup-simplify]: Simplify 1 into 1 10.416 * [backup-simplify]: Simplify (/ -1 1) into -1 10.416 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 10.416 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) 1) into (sin (/ -1 phi1)) 10.416 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) 0) into 0 10.416 * [backup-simplify]: Simplify (+ (sin (/ -1 phi1)) 0) into (sin (/ -1 phi1)) 10.416 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 10.416 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 10.417 * [backup-simplify]: Simplify (+ 0) into 0 10.417 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (* 0 1)) into 0 10.417 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)))) into 0 10.418 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.418 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 0)) into 0 10.419 * [backup-simplify]: Simplify (+ 0 0) into 0 10.419 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) into 0 10.419 * [taylor]: Taking taylor expansion of 0 in phi2 10.419 * [backup-simplify]: Simplify 0 into 0 10.419 * [backup-simplify]: Simplify 0 into 0 10.420 * [backup-simplify]: Simplify (+ 0) into 0 10.420 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 1)) into 0 10.420 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)))) into 0 10.421 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.421 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 0)) into 0 10.422 * [backup-simplify]: Simplify (+ 0 0) into 0 10.422 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) into 0 10.422 * [backup-simplify]: Simplify 0 into 0 10.423 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.424 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0 10.424 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 10.425 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.425 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0 10.426 * [backup-simplify]: Simplify (+ 0 0) into 0 10.426 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0 10.426 * [taylor]: Taking taylor expansion of 0 in phi2 10.426 * [backup-simplify]: Simplify 0 into 0 10.426 * [backup-simplify]: Simplify 0 into 0 10.426 * [backup-simplify]: Simplify 0 into 0 10.427 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.428 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0 10.428 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 10.429 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.430 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0 10.430 * [backup-simplify]: Simplify (+ 0 0) into 0 10.431 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0 10.431 * [backup-simplify]: Simplify 0 into 0 10.432 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 10.432 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.433 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 10.434 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 10.435 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 10.436 * [backup-simplify]: Simplify (+ 0 0) into 0 10.437 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2)))))) into 0 10.437 * [taylor]: Taking taylor expansion of 0 in phi2 10.437 * [backup-simplify]: Simplify 0 into 0 10.437 * [backup-simplify]: Simplify 0 into 0 10.437 * [backup-simplify]: Simplify (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) into (* (sin phi1) (sin phi2)) 10.437 * * * [progress]: simplifying candidates 10.437 * * * * [progress]: [ 1 / 75 ] simplifiying candidate # 10.437 * * * * [progress]: [ 2 / 75 ] simplifiying candidate # 10.437 * * * * [progress]: [ 3 / 75 ] simplifiying candidate # 10.437 * * * * [progress]: [ 4 / 75 ] simplifiying candidate # 10.437 * * * * [progress]: [ 5 / 75 ] simplifiying candidate # 10.437 * * * * [progress]: [ 6 / 75 ] simplifiying candidate # 10.438 * * * * [progress]: [ 7 / 75 ] simplifiying candidate # 10.438 * * * * [progress]: [ 8 / 75 ] simplifiying candidate # 10.438 * * * * [progress]: [ 9 / 75 ] simplifiying candidate # 10.438 * * * * [progress]: [ 10 / 75 ] simplifiying candidate # 10.438 * * * * [progress]: [ 11 / 75 ] simplifiying candidate # 10.438 * * * * [progress]: [ 12 / 75 ] simplifiying candidate # 10.438 * * * * [progress]: [ 13 / 75 ] simplifiying candidate # 10.438 * * * * [progress]: [ 14 / 75 ] simplifiying candidate # 10.438 * * * * [progress]: [ 15 / 75 ] simplifiying candidate #real (real->posit16 (log (exp (* (sin lambda1) (sin lambda2)))))))))) R))> 10.438 * * * * [progress]: [ 16 / 75 ] simplifiying candidate # 10.438 * * * * [progress]: [ 17 / 75 ] simplifiying candidate # 10.438 * * * * [progress]: [ 18 / 75 ] simplifiying candidate # 10.438 * * * * [progress]: [ 19 / 75 ] simplifiying candidate # 10.439 * * * * [progress]: [ 20 / 75 ] simplifiying candidate # 10.439 * * * * [progress]: [ 21 / 75 ] simplifiying candidate # 10.439 * * * * [progress]: [ 22 / 75 ] simplifiying candidate # 10.439 * * * * [progress]: [ 23 / 75 ] simplifiying candidate # 10.439 * * * * [progress]: [ 24 / 75 ] simplifiying candidate #real (real->posit16 (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))))) R))> 10.439 * * * * [progress]: [ 25 / 75 ] simplifiying candidate # 10.439 * * * * [progress]: [ 26 / 75 ] simplifiying candidate # 10.439 * * * * [progress]: [ 27 / 75 ] simplifiying candidate # 10.439 * * * * [progress]: [ 28 / 75 ] simplifiying candidate # 10.439 * * * * [progress]: [ 29 / 75 ] simplifiying candidate # 10.439 * * * * [progress]: [ 30 / 75 ] simplifiying candidate # 10.439 * * * * [progress]: [ 31 / 75 ] simplifiying candidate # 10.440 * * * * [progress]: [ 32 / 75 ] simplifiying candidate # 10.440 * * * * [progress]: [ 33 / 75 ] simplifiying candidate # 10.440 * * * * [progress]: [ 34 / 75 ] simplifiying candidate # 10.440 * * * * [progress]: [ 35 / 75 ] simplifiying candidate # 10.440 * * * * [progress]: [ 36 / 75 ] simplifiying candidate # 10.440 * * * * [progress]: [ 37 / 75 ] simplifiying candidate # 10.440 * * * * [progress]: [ 38 / 75 ] simplifiying candidate # 10.440 * * * * [progress]: [ 39 / 75 ] simplifiying candidate # 10.440 * * * * [progress]: [ 40 / 75 ] simplifiying candidate # 10.440 * * * * [progress]: [ 41 / 75 ] simplifiying candidate # 10.440 * * * * [progress]: [ 42 / 75 ] simplifiying candidate #real (real->posit16 (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R))))> 10.440 * * * * [progress]: [ 43 / 75 ] simplifiying candidate # 10.441 * * * * [progress]: [ 44 / 75 ] simplifiying candidate # 10.441 * * * * [progress]: [ 45 / 75 ] simplifiying candidate # 10.441 * * * * [progress]: [ 46 / 75 ] simplifiying candidate # 10.441 * * * * [progress]: [ 47 / 75 ] simplifiying candidate # 10.441 * * * * [progress]: [ 48 / 75 ] simplifiying candidate # 10.441 * * * * [progress]: [ 49 / 75 ] simplifiying candidate # 10.441 * * * * [progress]: [ 50 / 75 ] simplifiying candidate # 10.441 * * * * [progress]: [ 51 / 75 ] simplifiying candidate # 10.441 * * * * [progress]: [ 52 / 75 ] simplifiying candidate # 10.441 * * * * [progress]: [ 53 / 75 ] simplifiying candidate # 10.441 * * * * [progress]: [ 54 / 75 ] simplifiying candidate # 10.441 * * * * [progress]: [ 55 / 75 ] simplifiying candidate # 10.441 * * * * [progress]: [ 56 / 75 ] simplifiying candidate # 10.442 * * * * [progress]: [ 57 / 75 ] simplifiying candidate # 10.442 * * * * [progress]: [ 58 / 75 ] simplifiying candidate # 10.442 * * * * [progress]: [ 59 / 75 ] simplifiying candidate # 10.442 * * * * [progress]: [ 60 / 75 ] simplifiying candidate # 10.442 * * * * [progress]: [ 61 / 75 ] simplifiying candidate # 10.442 * * * * [progress]: [ 62 / 75 ] simplifiying candidate #real (real->posit16 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R))> 10.442 * * * * [progress]: [ 63 / 75 ] simplifiying candidate # 10.442 * * * * [progress]: [ 64 / 75 ] simplifiying candidate # 10.442 * * * * [progress]: [ 65 / 75 ] simplifiying candidate # 10.442 * * * * [progress]: [ 66 / 75 ] simplifiying candidate # 10.442 * * * * [progress]: [ 67 / 75 ] simplifiying candidate # 10.442 * * * * [progress]: [ 68 / 75 ] simplifiying candidate # 10.442 * * * * [progress]: [ 69 / 75 ] simplifiying candidate # 10.442 * * * * [progress]: [ 70 / 75 ] simplifiying candidate # 10.442 * * * * [progress]: [ 71 / 75 ] simplifiying candidate # 10.443 * * * * [progress]: [ 72 / 75 ] simplifiying candidate # 10.443 * * * * [progress]: [ 73 / 75 ] simplifiying candidate # 10.443 * * * * [progress]: [ 74 / 75 ] simplifiying candidate # 10.443 * * * * [progress]: [ 75 / 75 ] simplifiying candidate # 10.444 * [simplify]: Simplifying: (log (* (cbrt (exp (* (sin lambda1) (sin lambda2)))) (cbrt (exp (* (sin lambda1) (sin lambda2)))))) (log (cbrt (exp (* (sin lambda1) (sin lambda2))))) (log (sqrt (exp (* (sin lambda1) (sin lambda2))))) (log (sqrt (exp (* (sin lambda1) (sin lambda2))))) (log 1) (log (exp (* (sin lambda1) (sin lambda2)))) (log (exp (sin lambda1))) (log (exp (* (sin lambda1) (sin lambda2)))) (log (exp (sin lambda1))) (log (log (exp (* (sin lambda1) (sin lambda2))))) (exp (log (exp (* (sin lambda1) (sin lambda2))))) (* (cbrt (log (exp (* (sin lambda1) (sin lambda2))))) (cbrt (log (exp (* (sin lambda1) (sin lambda2)))))) (cbrt (log (exp (* (sin lambda1) (sin lambda2))))) (* (* (log (exp (* (sin lambda1) (sin lambda2)))) (log (exp (* (sin lambda1) (sin lambda2))))) (log (exp (* (sin lambda1) (sin lambda2))))) (sqrt (log (exp (* (sin lambda1) (sin lambda2))))) (sqrt (log (exp (* (sin lambda1) (sin lambda2))))) (real->posit16 (log (exp (* (sin lambda1) (sin lambda2))))) (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (real->posit16 (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R) (+ (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (log R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R)) (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (* (* R R) R)) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) 1) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R) (real->posit16 (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R)) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)) (+ (log (sin phi1)) (log (sin phi2))) (log (* (sin phi1) (sin phi2))) (exp (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2))) (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (sin phi1) (sqrt (sin phi2))) (* (sin phi1) 1) (* (cbrt (sin phi1)) (sin phi2)) (* (sqrt (sin phi1)) (sin phi2)) (* (sin phi1) (sin phi2)) (real->posit16 (* (sin phi1) (sin phi2))) (* lambda2 lambda1) (* (sin lambda2) (sin lambda1)) (* (sin lambda1) (sin lambda2)) (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) (* phi1 phi2) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) 10.448 * * [simplify]: iteration 0: 125 enodes 10.485 * * [simplify]: iteration 1: 237 enodes 10.555 * * [simplify]: iteration 2: 535 enodes 10.808 * * [simplify]: iteration 3: 1105 enodes 11.344 * * [simplify]: iteration 4: 2144 enodes 12.314 * * [simplify]: iteration 5: 4205 enodes 13.301 * * [simplify]: iteration complete: 5001 enodes 13.301 * * [simplify]: Extracting #0: cost 53 inf + 0 13.302 * * [simplify]: Extracting #1: cost 309 inf + 1 13.307 * * [simplify]: Extracting #2: cost 790 inf + 4150 13.316 * * [simplify]: Extracting #3: cost 767 inf + 41277 13.332 * * [simplify]: Extracting #4: cost 563 inf + 135607 13.374 * * [simplify]: Extracting #5: cost 381 inf + 189335 13.423 * * [simplify]: Extracting #6: cost 255 inf + 280845 13.519 * * [simplify]: Extracting #7: cost 60 inf + 495796 13.646 * * [simplify]: Extracting #8: cost 2 inf + 558878 13.783 * * [simplify]: Extracting #9: cost 0 inf + 557106 13.907 * * [simplify]: Extracting #10: cost 0 inf + 555846 14.021 * [simplify]: Simplified to: (log (* (cbrt (exp (* (sin lambda2) (sin lambda1)))) (cbrt (exp (* (sin lambda2) (sin lambda1)))))) (log (cbrt (exp (* (sin lambda2) (sin lambda1))))) (log (sqrt (exp (* (sin lambda2) (sin lambda1))))) (log (sqrt (exp (* (sin lambda2) (sin lambda1))))) 0 (* (sin lambda2) (sin lambda1)) (sin lambda1) (* (sin lambda2) (sin lambda1)) (sin lambda1) (log (* (sin lambda2) (sin lambda1))) (exp (* (sin lambda2) (sin lambda1))) (* (cbrt (* (sin lambda2) (sin lambda1))) (cbrt (* (sin lambda2) (sin lambda1)))) (cbrt (* (sin lambda2) (sin lambda1))) (* (* (sin lambda2) (sin lambda1)) (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1)))) (sqrt (* (sin lambda2) (sin lambda1))) (sqrt (* (sin lambda2) (sin lambda1))) (real->posit16 (* (sin lambda2) (sin lambda1))) (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))) (log (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1)))))) (exp (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1)))))) (* (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1)))))) (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))))) (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1)))))) (* (* (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))) (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1)))))) (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1)))))) (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1)))))) (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1)))))) (real->posit16 (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1)))))) (* (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))) R) (log (* (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))) R)) (log (* (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))) R)) (exp (* (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))) R)) (* (* (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))) R) (* (* (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))) R) (* (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))) R))) (* (cbrt (* (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))) R)) (cbrt (* (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))) R))) (cbrt (* (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))) R)) (* (* (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))) R) (* (* (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))) R) (* (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))) R))) (sqrt (* (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))) R)) (sqrt (* (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))) R)) (* (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1)))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1)))))) (sqrt R)) (* (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))) (sqrt R)) (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))) (* (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1)))))) R) (* (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1)))))) R) (* (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))) R) (real->posit16 (* (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))) R)) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi2) (sin phi1)) (log (* (sin phi2) (sin phi1))) (log (* (sin phi2) (sin phi1))) (exp (* (sin phi2) (sin phi1))) (* (* (* (sin phi2) (sin phi1)) (* (sin phi2) (sin phi1))) (* (sin phi2) (sin phi1))) (* (cbrt (* (sin phi2) (sin phi1))) (cbrt (* (sin phi2) (sin phi1)))) (cbrt (* (sin phi2) (sin phi1))) (* (* (* (sin phi2) (sin phi1)) (* (sin phi2) (sin phi1))) (* (sin phi2) (sin phi1))) (sqrt (* (sin phi2) (sin phi1))) (sqrt (* (sin phi2) (sin phi1))) (* (sqrt (sin phi2)) (sqrt (sin phi1))) (* (sqrt (sin phi2)) (sqrt (sin phi1))) (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (sin phi1) (sqrt (sin phi2))) (sin phi1) (* (cbrt (sin phi1)) (sin phi2)) (* (sin phi2) (sqrt (sin phi1))) (* (sin phi2) (sin phi1)) (real->posit16 (* (sin phi2) (sin phi1))) (* lambda1 lambda2) (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1)) (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))) (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))) (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))) (* (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))) R) (* (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))) R) (* (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))) R) (* phi1 phi2) (* (sin phi2) (sin phi1)) (* (sin phi2) (sin phi1)) 14.036 * * * [progress]: adding candidates to table 14.843 * * [progress]: iteration 4 / 4 14.843 * * * [progress]: picking best candidate 15.091 * * * * [pick]: Picked # 15.091 * * * [progress]: localizing error 15.187 * * * [progress]: generating rewritten candidates 15.188 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1) 15.190 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 15.195 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 15.199 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 15.219 * * * [progress]: generating series expansions 15.219 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1) 15.219 * [backup-simplify]: Simplify (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 15.220 * [approximate]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in (phi2 phi1 lambda1 lambda2) around 0 15.220 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in lambda2 15.220 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 15.220 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in lambda1 15.221 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 15.221 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in phi1 15.221 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 15.221 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in phi2 15.222 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 15.222 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in phi2 15.222 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 15.223 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in phi1 15.223 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 15.223 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in lambda1 15.224 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 15.224 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in lambda2 15.224 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 15.225 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 15.225 * [taylor]: Taking taylor expansion of 0 in phi1 15.225 * [backup-simplify]: Simplify 0 into 0 15.225 * [taylor]: Taking taylor expansion of 0 in lambda1 15.225 * [backup-simplify]: Simplify 0 into 0 15.225 * [taylor]: Taking taylor expansion of 0 in lambda2 15.225 * [backup-simplify]: Simplify 0 into 0 15.225 * [backup-simplify]: Simplify 0 into 0 15.225 * [taylor]: Taking taylor expansion of 0 in lambda1 15.225 * [backup-simplify]: Simplify 0 into 0 15.225 * [taylor]: Taking taylor expansion of 0 in lambda2 15.225 * [backup-simplify]: Simplify 0 into 0 15.225 * [backup-simplify]: Simplify 0 into 0 15.225 * [taylor]: Taking taylor expansion of 0 in lambda2 15.225 * [backup-simplify]: Simplify 0 into 0 15.225 * [backup-simplify]: Simplify 0 into 0 15.225 * [backup-simplify]: Simplify 0 into 0 15.225 * [taylor]: Taking taylor expansion of 0 in phi1 15.225 * [backup-simplify]: Simplify 0 into 0 15.225 * [taylor]: Taking taylor expansion of 0 in lambda1 15.226 * [backup-simplify]: Simplify 0 into 0 15.226 * [taylor]: Taking taylor expansion of 0 in lambda2 15.226 * [backup-simplify]: Simplify 0 into 0 15.226 * [backup-simplify]: Simplify 0 into 0 15.226 * [taylor]: Taking taylor expansion of 0 in lambda1 15.226 * [backup-simplify]: Simplify 0 into 0 15.226 * [taylor]: Taking taylor expansion of 0 in lambda2 15.226 * [backup-simplify]: Simplify 0 into 0 15.226 * [backup-simplify]: Simplify 0 into 0 15.226 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 15.227 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))) (* (cos (/ 1 phi2)) (cos (/ 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)))))) 15.227 * [approximate]: 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 phi1 lambda1 lambda2) around 0 15.227 * [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 15.228 * [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)))))) 15.228 * [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 15.229 * [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)))))) 15.229 * [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 15.229 * [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)))))) 15.229 * [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 15.230 * [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)))))) 15.230 * [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 15.231 * [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)))))) 15.231 * [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 15.232 * [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)))))) 15.232 * [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 15.233 * [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)))))) 15.233 * [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 15.233 * [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)))))) 15.234 * [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)))))) 15.234 * [taylor]: Taking taylor expansion of 0 in phi1 15.234 * [backup-simplify]: Simplify 0 into 0 15.234 * [taylor]: Taking taylor expansion of 0 in lambda1 15.234 * [backup-simplify]: Simplify 0 into 0 15.235 * [taylor]: Taking taylor expansion of 0 in lambda2 15.235 * [backup-simplify]: Simplify 0 into 0 15.235 * [backup-simplify]: Simplify 0 into 0 15.235 * [taylor]: Taking taylor expansion of 0 in lambda1 15.235 * [backup-simplify]: Simplify 0 into 0 15.235 * [taylor]: Taking taylor expansion of 0 in lambda2 15.235 * [backup-simplify]: Simplify 0 into 0 15.235 * [backup-simplify]: Simplify 0 into 0 15.235 * [taylor]: Taking taylor expansion of 0 in lambda2 15.235 * [backup-simplify]: Simplify 0 into 0 15.235 * [backup-simplify]: Simplify 0 into 0 15.235 * [backup-simplify]: Simplify 0 into 0 15.235 * [taylor]: Taking taylor expansion of 0 in phi1 15.235 * [backup-simplify]: Simplify 0 into 0 15.235 * [taylor]: Taking taylor expansion of 0 in lambda1 15.235 * [backup-simplify]: Simplify 0 into 0 15.235 * [taylor]: Taking taylor expansion of 0 in lambda2 15.235 * [backup-simplify]: Simplify 0 into 0 15.235 * [backup-simplify]: Simplify 0 into 0 15.235 * [taylor]: Taking taylor expansion of 0 in lambda1 15.235 * [backup-simplify]: Simplify 0 into 0 15.235 * [taylor]: Taking taylor expansion of 0 in lambda2 15.235 * [backup-simplify]: Simplify 0 into 0 15.235 * [backup-simplify]: Simplify 0 into 0 15.236 * [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))))) 15.237 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda2))) (sin (/ 1 (- lambda1))))) (* (cos (/ 1 (- phi2))) (cos (/ 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)))))))) 15.237 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in (phi2 phi1 lambda1 lambda2) around 0 15.237 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda2 15.238 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 15.238 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1 15.239 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 15.239 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1 15.239 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 15.239 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi2 15.240 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 15.240 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi2 15.241 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 15.241 * [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 15.242 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 15.242 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1 15.243 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 15.243 * [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 15.244 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 15.245 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 15.245 * [taylor]: Taking taylor expansion of 0 in phi1 15.245 * [backup-simplify]: Simplify 0 into 0 15.245 * [taylor]: Taking taylor expansion of 0 in lambda1 15.245 * [backup-simplify]: Simplify 0 into 0 15.245 * [taylor]: Taking taylor expansion of 0 in lambda2 15.245 * [backup-simplify]: Simplify 0 into 0 15.245 * [backup-simplify]: Simplify 0 into 0 15.245 * [taylor]: Taking taylor expansion of 0 in lambda1 15.245 * [backup-simplify]: Simplify 0 into 0 15.245 * [taylor]: Taking taylor expansion of 0 in lambda2 15.245 * [backup-simplify]: Simplify 0 into 0 15.245 * [backup-simplify]: Simplify 0 into 0 15.245 * [taylor]: Taking taylor expansion of 0 in lambda2 15.245 * [backup-simplify]: Simplify 0 into 0 15.245 * [backup-simplify]: Simplify 0 into 0 15.245 * [backup-simplify]: Simplify 0 into 0 15.245 * [taylor]: Taking taylor expansion of 0 in phi1 15.245 * [backup-simplify]: Simplify 0 into 0 15.245 * [taylor]: Taking taylor expansion of 0 in lambda1 15.245 * [backup-simplify]: Simplify 0 into 0 15.245 * [taylor]: Taking taylor expansion of 0 in lambda2 15.246 * [backup-simplify]: Simplify 0 into 0 15.246 * [backup-simplify]: Simplify 0 into 0 15.246 * [taylor]: Taking taylor expansion of 0 in lambda1 15.246 * [backup-simplify]: Simplify 0 into 0 15.246 * [taylor]: Taking taylor expansion of 0 in lambda2 15.246 * [backup-simplify]: Simplify 0 into 0 15.246 * [backup-simplify]: Simplify 0 into 0 15.247 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (sin (/ -1 (/ 1 (- lambda2))))))) (+ (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- lambda2)))) (cos (/ -1 (/ 1 (- phi2)))))))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 15.247 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 15.248 * [backup-simplify]: Simplify (log (exp (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 15.248 * [approximate]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in (phi2 phi1 lambda1 lambda2) around 0 15.248 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in lambda2 15.248 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 15.248 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in lambda1 15.249 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 15.249 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in phi1 15.249 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 15.249 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in phi2 15.250 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 15.250 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in phi2 15.251 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 15.251 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in phi1 15.251 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 15.251 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in lambda1 15.252 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 15.252 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in lambda2 15.253 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 15.254 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 15.254 * [taylor]: Taking taylor expansion of 0 in phi1 15.254 * [backup-simplify]: Simplify 0 into 0 15.254 * [taylor]: Taking taylor expansion of 0 in lambda1 15.254 * [backup-simplify]: Simplify 0 into 0 15.254 * [taylor]: Taking taylor expansion of 0 in lambda2 15.254 * [backup-simplify]: Simplify 0 into 0 15.254 * [backup-simplify]: Simplify 0 into 0 15.254 * [taylor]: Taking taylor expansion of 0 in lambda1 15.254 * [backup-simplify]: Simplify 0 into 0 15.254 * [taylor]: Taking taylor expansion of 0 in lambda2 15.254 * [backup-simplify]: Simplify 0 into 0 15.254 * [backup-simplify]: Simplify 0 into 0 15.254 * [taylor]: Taking taylor expansion of 0 in lambda2 15.255 * [backup-simplify]: Simplify 0 into 0 15.255 * [backup-simplify]: Simplify 0 into 0 15.255 * [backup-simplify]: Simplify 0 into 0 15.255 * [taylor]: Taking taylor expansion of 0 in phi1 15.255 * [backup-simplify]: Simplify 0 into 0 15.255 * [taylor]: Taking taylor expansion of 0 in lambda1 15.255 * [backup-simplify]: Simplify 0 into 0 15.255 * [taylor]: Taking taylor expansion of 0 in lambda2 15.255 * [backup-simplify]: Simplify 0 into 0 15.255 * [backup-simplify]: Simplify 0 into 0 15.255 * [taylor]: Taking taylor expansion of 0 in lambda1 15.255 * [backup-simplify]: Simplify 0 into 0 15.255 * [taylor]: Taking taylor expansion of 0 in lambda2 15.255 * [backup-simplify]: Simplify 0 into 0 15.255 * [backup-simplify]: Simplify 0 into 0 15.256 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 15.256 * [backup-simplify]: Simplify (log (exp (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))) (* (cos (/ 1 phi2)) (cos (/ 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)))))) 15.257 * [approximate]: 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 phi1 lambda1 lambda2) around 0 15.257 * [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 15.257 * [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)))))) 15.257 * [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 15.258 * [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)))))) 15.258 * [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 15.259 * [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)))))) 15.259 * [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 15.260 * [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)))))) 15.260 * [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 15.261 * [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)))))) 15.261 * [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 15.261 * [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)))))) 15.262 * [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 15.262 * [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)))))) 15.262 * [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 15.263 * [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)))))) 15.264 * [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)))))) 15.264 * [taylor]: Taking taylor expansion of 0 in phi1 15.264 * [backup-simplify]: Simplify 0 into 0 15.264 * [taylor]: Taking taylor expansion of 0 in lambda1 15.264 * [backup-simplify]: Simplify 0 into 0 15.264 * [taylor]: Taking taylor expansion of 0 in lambda2 15.264 * [backup-simplify]: Simplify 0 into 0 15.264 * [backup-simplify]: Simplify 0 into 0 15.264 * [taylor]: Taking taylor expansion of 0 in lambda1 15.264 * [backup-simplify]: Simplify 0 into 0 15.264 * [taylor]: Taking taylor expansion of 0 in lambda2 15.264 * [backup-simplify]: Simplify 0 into 0 15.264 * [backup-simplify]: Simplify 0 into 0 15.264 * [taylor]: Taking taylor expansion of 0 in lambda2 15.264 * [backup-simplify]: Simplify 0 into 0 15.264 * [backup-simplify]: Simplify 0 into 0 15.265 * [backup-simplify]: Simplify 0 into 0 15.265 * [taylor]: Taking taylor expansion of 0 in phi1 15.265 * [backup-simplify]: Simplify 0 into 0 15.265 * [taylor]: Taking taylor expansion of 0 in lambda1 15.265 * [backup-simplify]: Simplify 0 into 0 15.265 * [taylor]: Taking taylor expansion of 0 in lambda2 15.265 * [backup-simplify]: Simplify 0 into 0 15.265 * [backup-simplify]: Simplify 0 into 0 15.265 * [taylor]: Taking taylor expansion of 0 in lambda1 15.265 * [backup-simplify]: Simplify 0 into 0 15.265 * [taylor]: Taking taylor expansion of 0 in lambda2 15.265 * [backup-simplify]: Simplify 0 into 0 15.265 * [backup-simplify]: Simplify 0 into 0 15.266 * [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))))) 15.267 * [backup-simplify]: Simplify (log (exp (acos (+ (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda2))) (sin (/ 1 (- lambda1))))) (* (cos (/ 1 (- phi2))) (cos (/ 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)))))))) 15.267 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in (phi2 phi1 lambda1 lambda2) around 0 15.267 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda2 15.268 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 15.268 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1 15.268 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 15.268 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1 15.269 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 15.269 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi2 15.270 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 15.270 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi2 15.271 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 15.271 * [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 15.273 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 15.273 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1 15.274 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 15.274 * [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 15.275 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 15.276 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 15.276 * [taylor]: Taking taylor expansion of 0 in phi1 15.276 * [backup-simplify]: Simplify 0 into 0 15.276 * [taylor]: Taking taylor expansion of 0 in lambda1 15.276 * [backup-simplify]: Simplify 0 into 0 15.276 * [taylor]: Taking taylor expansion of 0 in lambda2 15.276 * [backup-simplify]: Simplify 0 into 0 15.276 * [backup-simplify]: Simplify 0 into 0 15.276 * [taylor]: Taking taylor expansion of 0 in lambda1 15.276 * [backup-simplify]: Simplify 0 into 0 15.276 * [taylor]: Taking taylor expansion of 0 in lambda2 15.276 * [backup-simplify]: Simplify 0 into 0 15.276 * [backup-simplify]: Simplify 0 into 0 15.277 * [taylor]: Taking taylor expansion of 0 in lambda2 15.277 * [backup-simplify]: Simplify 0 into 0 15.277 * [backup-simplify]: Simplify 0 into 0 15.277 * [backup-simplify]: Simplify 0 into 0 15.277 * [taylor]: Taking taylor expansion of 0 in phi1 15.277 * [backup-simplify]: Simplify 0 into 0 15.277 * [taylor]: Taking taylor expansion of 0 in lambda1 15.277 * [backup-simplify]: Simplify 0 into 0 15.277 * [taylor]: Taking taylor expansion of 0 in lambda2 15.277 * [backup-simplify]: Simplify 0 into 0 15.277 * [backup-simplify]: Simplify 0 into 0 15.277 * [taylor]: Taking taylor expansion of 0 in lambda1 15.277 * [backup-simplify]: Simplify 0 into 0 15.277 * [taylor]: Taking taylor expansion of 0 in lambda2 15.277 * [backup-simplify]: Simplify 0 into 0 15.277 * [backup-simplify]: Simplify 0 into 0 15.278 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (sin (/ -1 (/ 1 (- lambda2))))))) (+ (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- lambda2)))) (cos (/ -1 (/ 1 (- phi2)))))))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 15.278 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 15.279 * [backup-simplify]: Simplify (exp (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1)))))) into (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))) 15.279 * [approximate]: Taking taylor expansion of (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))) in (phi2 phi1 lambda1 lambda2) around 0 15.279 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))) in lambda2 15.279 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in lambda2 15.280 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 15.280 * [backup-simplify]: Simplify (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))) into (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))) 15.280 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))) in lambda1 15.281 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in lambda1 15.281 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 15.282 * [backup-simplify]: Simplify (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))) into (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))) 15.282 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))) in phi1 15.282 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in phi1 15.282 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 15.283 * [backup-simplify]: Simplify (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))) into (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))) 15.283 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))) in phi2 15.283 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in phi2 15.283 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 15.284 * [backup-simplify]: Simplify (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))) into (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))) 15.284 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))) in phi2 15.284 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in phi2 15.285 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 15.285 * [backup-simplify]: Simplify (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))) into (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))) 15.285 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))) in phi1 15.285 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in phi1 15.286 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 15.289 * [backup-simplify]: Simplify (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))) into (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))) 15.289 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))) in lambda1 15.289 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in lambda1 15.289 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 15.290 * [backup-simplify]: Simplify (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))) into (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))) 15.290 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))) in lambda2 15.290 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in lambda2 15.290 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 15.291 * [backup-simplify]: Simplify (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))) into (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))) 15.292 * [backup-simplify]: Simplify (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))) into (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))) 15.294 * [backup-simplify]: Simplify (* (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))) (+ (* (/ (pow 0 1) 1)))) into 0 15.294 * [taylor]: Taking taylor expansion of 0 in phi1 15.294 * [backup-simplify]: Simplify 0 into 0 15.294 * [taylor]: Taking taylor expansion of 0 in lambda1 15.294 * [backup-simplify]: Simplify 0 into 0 15.294 * [taylor]: Taking taylor expansion of 0 in lambda2 15.294 * [backup-simplify]: Simplify 0 into 0 15.294 * [backup-simplify]: Simplify 0 into 0 15.296 * [backup-simplify]: Simplify (* (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))) (+ (* (/ (pow 0 1) 1)))) into 0 15.296 * [taylor]: Taking taylor expansion of 0 in lambda1 15.296 * [backup-simplify]: Simplify 0 into 0 15.296 * [taylor]: Taking taylor expansion of 0 in lambda2 15.296 * [backup-simplify]: Simplify 0 into 0 15.296 * [backup-simplify]: Simplify 0 into 0 15.297 * [backup-simplify]: Simplify (* (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))) (+ (* (/ (pow 0 1) 1)))) into 0 15.297 * [taylor]: Taking taylor expansion of 0 in lambda2 15.298 * [backup-simplify]: Simplify 0 into 0 15.298 * [backup-simplify]: Simplify 0 into 0 15.299 * [backup-simplify]: Simplify (* (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))) (+ (* (/ (pow 0 1) 1)))) into 0 15.299 * [backup-simplify]: Simplify 0 into 0 15.301 * [backup-simplify]: Simplify (* (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 15.301 * [taylor]: Taking taylor expansion of 0 in phi1 15.301 * [backup-simplify]: Simplify 0 into 0 15.301 * [taylor]: Taking taylor expansion of 0 in lambda1 15.301 * [backup-simplify]: Simplify 0 into 0 15.301 * [taylor]: Taking taylor expansion of 0 in lambda2 15.302 * [backup-simplify]: Simplify 0 into 0 15.302 * [backup-simplify]: Simplify 0 into 0 15.302 * [taylor]: Taking taylor expansion of 0 in lambda1 15.302 * [backup-simplify]: Simplify 0 into 0 15.302 * [taylor]: Taking taylor expansion of 0 in lambda2 15.302 * [backup-simplify]: Simplify 0 into 0 15.302 * [backup-simplify]: Simplify 0 into 0 15.302 * [backup-simplify]: Simplify (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))) into (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))) 15.303 * [backup-simplify]: Simplify (exp (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))) (* (cos (/ 1 phi2)) (cos (/ 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))))))) 15.303 * [approximate]: 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 phi1 lambda1 lambda2) around 0 15.303 * [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 15.303 * [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 15.304 * [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)))))) 15.305 * [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))))))) 15.305 * [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 lambda1 15.305 * [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 15.306 * [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)))))) 15.307 * [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))))))) 15.307 * [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 15.307 * [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 15.308 * [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)))))) 15.308 * [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))))))) 15.308 * [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 15.308 * [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 15.309 * [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)))))) 15.310 * [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))))))) 15.310 * [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 15.310 * [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 15.311 * [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)))))) 15.312 * [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))))))) 15.312 * [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 15.312 * [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 15.313 * [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)))))) 15.314 * [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))))))) 15.314 * [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 lambda1 15.314 * [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 15.315 * [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)))))) 15.316 * [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))))))) 15.316 * [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 15.316 * [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 15.316 * [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)))))) 15.317 * [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))))))) 15.318 * [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))))))) 15.319 * [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 15.319 * [taylor]: Taking taylor expansion of 0 in phi1 15.319 * [backup-simplify]: Simplify 0 into 0 15.319 * [taylor]: Taking taylor expansion of 0 in lambda1 15.319 * [backup-simplify]: Simplify 0 into 0 15.319 * [taylor]: Taking taylor expansion of 0 in lambda2 15.319 * [backup-simplify]: Simplify 0 into 0 15.320 * [backup-simplify]: Simplify 0 into 0 15.320 * [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 15.320 * [taylor]: Taking taylor expansion of 0 in lambda1 15.321 * [backup-simplify]: Simplify 0 into 0 15.321 * [taylor]: Taking taylor expansion of 0 in lambda2 15.321 * [backup-simplify]: Simplify 0 into 0 15.321 * [backup-simplify]: Simplify 0 into 0 15.321 * [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 15.322 * [taylor]: Taking taylor expansion of 0 in lambda2 15.322 * [backup-simplify]: Simplify 0 into 0 15.322 * [backup-simplify]: Simplify 0 into 0 15.322 * [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 15.323 * [backup-simplify]: Simplify 0 into 0 15.324 * [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 15.324 * [taylor]: Taking taylor expansion of 0 in phi1 15.324 * [backup-simplify]: Simplify 0 into 0 15.324 * [taylor]: Taking taylor expansion of 0 in lambda1 15.324 * [backup-simplify]: Simplify 0 into 0 15.324 * [taylor]: Taking taylor expansion of 0 in lambda2 15.324 * [backup-simplify]: Simplify 0 into 0 15.324 * [backup-simplify]: Simplify 0 into 0 15.324 * [taylor]: Taking taylor expansion of 0 in lambda1 15.324 * [backup-simplify]: Simplify 0 into 0 15.324 * [taylor]: Taking taylor expansion of 0 in lambda2 15.324 * [backup-simplify]: Simplify 0 into 0 15.324 * [backup-simplify]: Simplify 0 into 0 15.325 * [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)))))) 15.325 * [backup-simplify]: Simplify (exp (acos (+ (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda2))) (sin (/ 1 (- lambda1))))) (* (cos (/ 1 (- phi2))) (cos (/ 1 (- phi1)))))))) 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))))))))) 15.325 * [approximate]: 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 phi2)) (cos (/ -1 lambda2))))))))) in (phi2 phi1 lambda1 lambda2) around 0 15.325 * [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 phi2)) (cos (/ -1 lambda2))))))))) in lambda2 15.325 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda2 15.325 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 15.326 * [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))))))))) 15.326 * [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 phi2)) (cos (/ -1 lambda2))))))))) in lambda1 15.326 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1 15.326 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 15.327 * [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))))))))) 15.327 * [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 phi2)) (cos (/ -1 lambda2))))))))) in phi1 15.327 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1 15.327 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 15.328 * [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))))))))) 15.328 * [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 phi2)) (cos (/ -1 lambda2))))))))) in phi2 15.328 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi2 15.328 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 15.328 * [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))))))))) 15.328 * [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 phi2)) (cos (/ -1 lambda2))))))))) in phi2 15.329 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi2 15.329 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 15.329 * [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))))))))) 15.329 * [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 phi2)) (cos (/ -1 lambda2))))))))) in phi1 15.329 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1 15.330 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 15.330 * [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))))))))) 15.330 * [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 phi2)) (cos (/ -1 lambda2))))))))) in lambda1 15.330 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1 15.331 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 15.331 * [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))))))))) 15.331 * [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 phi2)) (cos (/ -1 lambda2))))))))) in lambda2 15.331 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda2 15.332 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 15.332 * [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))))))))) 15.332 * [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))))))))) 15.333 * [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))))))))) (+ (* (/ (pow 0 1) 1)))) into 0 15.334 * [taylor]: Taking taylor expansion of 0 in phi1 15.334 * [backup-simplify]: Simplify 0 into 0 15.334 * [taylor]: Taking taylor expansion of 0 in lambda1 15.334 * [backup-simplify]: Simplify 0 into 0 15.334 * [taylor]: Taking taylor expansion of 0 in lambda2 15.334 * [backup-simplify]: Simplify 0 into 0 15.334 * [backup-simplify]: Simplify 0 into 0 15.335 * [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))))))))) (+ (* (/ (pow 0 1) 1)))) into 0 15.335 * [taylor]: Taking taylor expansion of 0 in lambda1 15.335 * [backup-simplify]: Simplify 0 into 0 15.335 * [taylor]: Taking taylor expansion of 0 in lambda2 15.335 * [backup-simplify]: Simplify 0 into 0 15.335 * [backup-simplify]: Simplify 0 into 0 15.336 * [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))))))))) (+ (* (/ (pow 0 1) 1)))) into 0 15.336 * [taylor]: Taking taylor expansion of 0 in lambda2 15.336 * [backup-simplify]: Simplify 0 into 0 15.336 * [backup-simplify]: Simplify 0 into 0 15.337 * [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))))))))) (+ (* (/ (pow 0 1) 1)))) into 0 15.337 * [backup-simplify]: Simplify 0 into 0 15.338 * [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))))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 15.338 * [taylor]: Taking taylor expansion of 0 in phi1 15.338 * [backup-simplify]: Simplify 0 into 0 15.338 * [taylor]: Taking taylor expansion of 0 in lambda1 15.338 * [backup-simplify]: Simplify 0 into 0 15.338 * [taylor]: Taking taylor expansion of 0 in lambda2 15.338 * [backup-simplify]: Simplify 0 into 0 15.338 * [backup-simplify]: Simplify 0 into 0 15.338 * [taylor]: Taking taylor expansion of 0 in lambda1 15.338 * [backup-simplify]: Simplify 0 into 0 15.338 * [taylor]: Taking taylor expansion of 0 in lambda2 15.338 * [backup-simplify]: Simplify 0 into 0 15.338 * [backup-simplify]: Simplify 0 into 0 15.339 * [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 (- lambda2)))) (cos (/ -1 (/ 1 (- phi2))))))))))) into (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 15.339 * * * * [progress]: [ 4 / 4 ] generating series at (2) 15.340 * [backup-simplify]: Simplify (* (log (exp (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))))) R) into (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) 15.340 * [approximate]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) in (phi2 phi1 lambda1 lambda2 R) around 0 15.340 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) in R 15.340 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in R 15.340 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 15.340 * [taylor]: Taking taylor expansion of R in R 15.340 * [backup-simplify]: Simplify 0 into 0 15.340 * [backup-simplify]: Simplify 1 into 1 15.340 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) in lambda2 15.340 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in lambda2 15.340 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 15.340 * [taylor]: Taking taylor expansion of R in lambda2 15.340 * [backup-simplify]: Simplify R into R 15.340 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) in lambda1 15.340 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in lambda1 15.341 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 15.341 * [taylor]: Taking taylor expansion of R in lambda1 15.341 * [backup-simplify]: Simplify R into R 15.341 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) in phi1 15.341 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in phi1 15.341 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 15.341 * [taylor]: Taking taylor expansion of R in phi1 15.341 * [backup-simplify]: Simplify R into R 15.341 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) in phi2 15.341 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in phi2 15.341 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 15.341 * [taylor]: Taking taylor expansion of R in phi2 15.341 * [backup-simplify]: Simplify R into R 15.341 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) in phi2 15.341 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in phi2 15.342 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 15.342 * [taylor]: Taking taylor expansion of R in phi2 15.342 * [backup-simplify]: Simplify R into R 15.342 * [backup-simplify]: Simplify (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) into (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) 15.342 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) in phi1 15.342 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in phi1 15.342 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 15.342 * [taylor]: Taking taylor expansion of R in phi1 15.342 * [backup-simplify]: Simplify R into R 15.343 * [backup-simplify]: Simplify (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) into (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) 15.343 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) in lambda1 15.343 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in lambda1 15.343 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 15.343 * [taylor]: Taking taylor expansion of R in lambda1 15.343 * [backup-simplify]: Simplify R into R 15.344 * [backup-simplify]: Simplify (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) into (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) 15.344 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) in lambda2 15.344 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in lambda2 15.344 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 15.344 * [taylor]: Taking taylor expansion of R in lambda2 15.344 * [backup-simplify]: Simplify R into R 15.344 * [backup-simplify]: Simplify (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) into (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) 15.344 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) in R 15.344 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in R 15.345 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 15.345 * [taylor]: Taking taylor expansion of R in R 15.345 * [backup-simplify]: Simplify 0 into 0 15.345 * [backup-simplify]: Simplify 1 into 1 15.345 * [backup-simplify]: Simplify (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 0) into 0 15.345 * [backup-simplify]: Simplify 0 into 0 15.345 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 0) (* 0 R)) into 0 15.345 * [taylor]: Taking taylor expansion of 0 in phi1 15.345 * [backup-simplify]: Simplify 0 into 0 15.345 * [taylor]: Taking taylor expansion of 0 in lambda1 15.345 * [backup-simplify]: Simplify 0 into 0 15.345 * [taylor]: Taking taylor expansion of 0 in lambda2 15.346 * [backup-simplify]: Simplify 0 into 0 15.346 * [taylor]: Taking taylor expansion of 0 in R 15.346 * [backup-simplify]: Simplify 0 into 0 15.346 * [backup-simplify]: Simplify 0 into 0 15.346 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 0) (* 0 R)) into 0 15.346 * [taylor]: Taking taylor expansion of 0 in lambda1 15.346 * [backup-simplify]: Simplify 0 into 0 15.346 * [taylor]: Taking taylor expansion of 0 in lambda2 15.346 * [backup-simplify]: Simplify 0 into 0 15.346 * [taylor]: Taking taylor expansion of 0 in R 15.346 * [backup-simplify]: Simplify 0 into 0 15.346 * [backup-simplify]: Simplify 0 into 0 15.347 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 0) (* 0 R)) into 0 15.347 * [taylor]: Taking taylor expansion of 0 in lambda2 15.347 * [backup-simplify]: Simplify 0 into 0 15.347 * [taylor]: Taking taylor expansion of 0 in R 15.347 * [backup-simplify]: Simplify 0 into 0 15.347 * [backup-simplify]: Simplify 0 into 0 15.347 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 0) (* 0 R)) into 0 15.348 * [taylor]: Taking taylor expansion of 0 in R 15.348 * [backup-simplify]: Simplify 0 into 0 15.348 * [backup-simplify]: Simplify 0 into 0 15.349 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 1) (* 0 0)) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 15.349 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 15.351 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 0) (+ (* 0 0) (* 0 R))) into 0 15.351 * [taylor]: Taking taylor expansion of 0 in phi1 15.351 * [backup-simplify]: Simplify 0 into 0 15.351 * [taylor]: Taking taylor expansion of 0 in lambda1 15.351 * [backup-simplify]: Simplify 0 into 0 15.351 * [taylor]: Taking taylor expansion of 0 in lambda2 15.351 * [backup-simplify]: Simplify 0 into 0 15.351 * [taylor]: Taking taylor expansion of 0 in R 15.351 * [backup-simplify]: Simplify 0 into 0 15.351 * [backup-simplify]: Simplify 0 into 0 15.351 * [taylor]: Taking taylor expansion of 0 in lambda1 15.351 * [backup-simplify]: Simplify 0 into 0 15.351 * [taylor]: Taking taylor expansion of 0 in lambda2 15.351 * [backup-simplify]: Simplify 0 into 0 15.351 * [taylor]: Taking taylor expansion of 0 in R 15.351 * [backup-simplify]: Simplify 0 into 0 15.351 * [backup-simplify]: Simplify 0 into 0 15.352 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 0) (+ (* 0 0) (* 0 R))) into 0 15.352 * [taylor]: Taking taylor expansion of 0 in lambda1 15.352 * [backup-simplify]: Simplify 0 into 0 15.353 * [taylor]: Taking taylor expansion of 0 in lambda2 15.353 * [backup-simplify]: Simplify 0 into 0 15.353 * [taylor]: Taking taylor expansion of 0 in R 15.353 * [backup-simplify]: Simplify 0 into 0 15.353 * [backup-simplify]: Simplify 0 into 0 15.353 * [taylor]: Taking taylor expansion of 0 in lambda2 15.353 * [backup-simplify]: Simplify 0 into 0 15.353 * [taylor]: Taking taylor expansion of 0 in R 15.353 * [backup-simplify]: Simplify 0 into 0 15.353 * [backup-simplify]: Simplify 0 into 0 15.353 * [taylor]: Taking taylor expansion of 0 in lambda2 15.353 * [backup-simplify]: Simplify 0 into 0 15.353 * [taylor]: Taking taylor expansion of 0 in R 15.353 * [backup-simplify]: Simplify 0 into 0 15.353 * [backup-simplify]: Simplify 0 into 0 15.354 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 0) (+ (* 0 0) (* 0 R))) into 0 15.354 * [taylor]: Taking taylor expansion of 0 in lambda2 15.354 * [backup-simplify]: Simplify 0 into 0 15.354 * [taylor]: Taking taylor expansion of 0 in R 15.354 * [backup-simplify]: Simplify 0 into 0 15.354 * [backup-simplify]: Simplify 0 into 0 15.356 * [backup-simplify]: Simplify (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) (* R (* 1 (* 1 (* 1 1))))) into (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) 15.357 * [backup-simplify]: Simplify (* (log (exp (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) (/ 1 R)) into (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) R) 15.357 * [approximate]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) R) in (phi2 phi1 lambda1 lambda2 R) around 0 15.357 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) R) in R 15.357 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in R 15.358 * [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)))))) 15.358 * [taylor]: Taking taylor expansion of R in R 15.358 * [backup-simplify]: Simplify 0 into 0 15.358 * [backup-simplify]: Simplify 1 into 1 15.358 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) 1) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) 15.359 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) R) in lambda2 15.359 * [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 15.359 * [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)))))) 15.359 * [taylor]: Taking taylor expansion of R in lambda2 15.359 * [backup-simplify]: Simplify R into R 15.360 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) R) into (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) R) 15.360 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) R) in lambda1 15.360 * [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 15.361 * [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)))))) 15.361 * [taylor]: Taking taylor expansion of R in lambda1 15.361 * [backup-simplify]: Simplify R into R 15.362 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) R) into (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) R) 15.362 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) R) in phi1 15.362 * [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 15.363 * [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)))))) 15.363 * [taylor]: Taking taylor expansion of R in phi1 15.363 * [backup-simplify]: Simplify R into R 15.364 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) R) into (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) R) 15.364 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) R) in phi2 15.364 * [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 15.365 * [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)))))) 15.365 * [taylor]: Taking taylor expansion of R in phi2 15.365 * [backup-simplify]: Simplify R into R 15.366 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) R) into (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) R) 15.366 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) R) in phi2 15.366 * [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 15.367 * [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)))))) 15.367 * [taylor]: Taking taylor expansion of R in phi2 15.367 * [backup-simplify]: Simplify R into R 15.368 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) R) into (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) R) 15.368 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) R) in phi1 15.368 * [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 15.369 * [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)))))) 15.369 * [taylor]: Taking taylor expansion of R in phi1 15.369 * [backup-simplify]: Simplify R into R 15.369 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) R) into (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) R) 15.370 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) R) in lambda1 15.370 * [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 15.370 * [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)))))) 15.370 * [taylor]: Taking taylor expansion of R in lambda1 15.370 * [backup-simplify]: Simplify R into R 15.371 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) R) into (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) R) 15.371 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) R) in lambda2 15.371 * [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 15.372 * [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)))))) 15.372 * [taylor]: Taking taylor expansion of R in lambda2 15.372 * [backup-simplify]: Simplify R into R 15.373 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) R) into (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) R) 15.373 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) R) in R 15.373 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) in R 15.374 * [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)))))) 15.374 * [taylor]: Taking taylor expansion of R in R 15.374 * [backup-simplify]: Simplify 0 into 0 15.374 * [backup-simplify]: Simplify 1 into 1 15.375 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) 1) into (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) 15.376 * [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)))))) 15.377 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) R) (/ 0 R)))) into 0 15.377 * [taylor]: Taking taylor expansion of 0 in phi1 15.377 * [backup-simplify]: Simplify 0 into 0 15.377 * [taylor]: Taking taylor expansion of 0 in lambda1 15.377 * [backup-simplify]: Simplify 0 into 0 15.377 * [taylor]: Taking taylor expansion of 0 in lambda2 15.377 * [backup-simplify]: Simplify 0 into 0 15.377 * [taylor]: Taking taylor expansion of 0 in R 15.377 * [backup-simplify]: Simplify 0 into 0 15.378 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) R) (/ 0 R)))) into 0 15.378 * [taylor]: Taking taylor expansion of 0 in lambda1 15.378 * [backup-simplify]: Simplify 0 into 0 15.378 * [taylor]: Taking taylor expansion of 0 in lambda2 15.378 * [backup-simplify]: Simplify 0 into 0 15.379 * [taylor]: Taking taylor expansion of 0 in R 15.379 * [backup-simplify]: Simplify 0 into 0 15.380 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) R) (/ 0 R)))) into 0 15.380 * [taylor]: Taking taylor expansion of 0 in lambda2 15.380 * [backup-simplify]: Simplify 0 into 0 15.380 * [taylor]: Taking taylor expansion of 0 in R 15.380 * [backup-simplify]: Simplify 0 into 0 15.381 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) R) (/ 0 R)))) into 0 15.381 * [taylor]: Taking taylor expansion of 0 in R 15.381 * [backup-simplify]: Simplify 0 into 0 15.383 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) (/ 0 1)))) into 0 15.383 * [backup-simplify]: Simplify 0 into 0 15.385 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 15.385 * [taylor]: Taking taylor expansion of 0 in phi1 15.385 * [backup-simplify]: Simplify 0 into 0 15.385 * [taylor]: Taking taylor expansion of 0 in lambda1 15.385 * [backup-simplify]: Simplify 0 into 0 15.385 * [taylor]: Taking taylor expansion of 0 in lambda2 15.385 * [backup-simplify]: Simplify 0 into 0 15.385 * [taylor]: Taking taylor expansion of 0 in R 15.385 * [backup-simplify]: Simplify 0 into 0 15.385 * [taylor]: Taking taylor expansion of 0 in lambda1 15.385 * [backup-simplify]: Simplify 0 into 0 15.385 * [taylor]: Taking taylor expansion of 0 in lambda2 15.385 * [backup-simplify]: Simplify 0 into 0 15.385 * [taylor]: Taking taylor expansion of 0 in R 15.385 * [backup-simplify]: Simplify 0 into 0 15.386 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 15.386 * [taylor]: Taking taylor expansion of 0 in lambda1 15.386 * [backup-simplify]: Simplify 0 into 0 15.386 * [taylor]: Taking taylor expansion of 0 in lambda2 15.386 * [backup-simplify]: Simplify 0 into 0 15.386 * [taylor]: Taking taylor expansion of 0 in R 15.386 * [backup-simplify]: Simplify 0 into 0 15.386 * [taylor]: Taking taylor expansion of 0 in lambda2 15.386 * [backup-simplify]: Simplify 0 into 0 15.386 * [taylor]: Taking taylor expansion of 0 in R 15.386 * [backup-simplify]: Simplify 0 into 0 15.386 * [taylor]: Taking taylor expansion of 0 in lambda2 15.386 * [backup-simplify]: Simplify 0 into 0 15.386 * [taylor]: Taking taylor expansion of 0 in R 15.386 * [backup-simplify]: Simplify 0 into 0 15.387 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 15.387 * [taylor]: Taking taylor expansion of 0 in lambda2 15.387 * [backup-simplify]: Simplify 0 into 0 15.387 * [taylor]: Taking taylor expansion of 0 in R 15.387 * [backup-simplify]: Simplify 0 into 0 15.387 * [taylor]: Taking taylor expansion of 0 in R 15.387 * [backup-simplify]: Simplify 0 into 0 15.387 * [taylor]: Taking taylor expansion of 0 in R 15.387 * [backup-simplify]: Simplify 0 into 0 15.387 * [taylor]: Taking taylor expansion of 0 in R 15.387 * [backup-simplify]: Simplify 0 into 0 15.388 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 15.388 * [taylor]: Taking taylor expansion of 0 in R 15.388 * [backup-simplify]: Simplify 0 into 0 15.388 * [backup-simplify]: Simplify 0 into 0 15.388 * [backup-simplify]: Simplify 0 into 0 15.388 * [backup-simplify]: Simplify 0 into 0 15.388 * [backup-simplify]: Simplify 0 into 0 15.389 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.389 * [backup-simplify]: Simplify 0 into 0 15.390 * [backup-simplify]: Simplify (* (acos (+ (* (sin (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 phi2))) (* (sin (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1)))))) (+ (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1)))))) (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1))))))) (* (/ 1 (/ 1 R)) (* 1 (* 1 (* 1 1))))) into (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) 15.391 * [backup-simplify]: Simplify (* (log (exp (acos (+ (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) (* (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda2))) (sin (/ 1 (- lambda1))))) (* (cos (/ 1 (- phi2))) (cos (/ 1 (- phi1))))))))) (/ 1 (- R))) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) 15.391 * [approximate]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in (phi2 phi1 lambda1 lambda2 R) around 0 15.391 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in R 15.391 * [taylor]: Taking taylor expansion of -1 in R 15.391 * [backup-simplify]: Simplify -1 into -1 15.391 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in R 15.391 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in R 15.392 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 15.392 * [taylor]: Taking taylor expansion of R in R 15.392 * [backup-simplify]: Simplify 0 into 0 15.392 * [backup-simplify]: Simplify 1 into 1 15.392 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 1) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 15.392 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in lambda2 15.392 * [taylor]: Taking taylor expansion of -1 in lambda2 15.392 * [backup-simplify]: Simplify -1 into -1 15.392 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in lambda2 15.392 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda2 15.393 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 15.393 * [taylor]: Taking taylor expansion of R in lambda2 15.393 * [backup-simplify]: Simplify R into R 15.393 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) 15.393 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in lambda1 15.393 * [taylor]: Taking taylor expansion of -1 in lambda1 15.393 * [backup-simplify]: Simplify -1 into -1 15.393 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in lambda1 15.393 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1 15.393 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 15.394 * [taylor]: Taking taylor expansion of R in lambda1 15.394 * [backup-simplify]: Simplify R into R 15.394 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) 15.394 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in phi1 15.394 * [taylor]: Taking taylor expansion of -1 in phi1 15.394 * [backup-simplify]: Simplify -1 into -1 15.394 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in phi1 15.394 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1 15.394 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 15.394 * [taylor]: Taking taylor expansion of R in phi1 15.395 * [backup-simplify]: Simplify R into R 15.395 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) 15.395 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in phi2 15.395 * [taylor]: Taking taylor expansion of -1 in phi2 15.395 * [backup-simplify]: Simplify -1 into -1 15.395 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in phi2 15.395 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi2 15.397 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 15.397 * [taylor]: Taking taylor expansion of R in phi2 15.397 * [backup-simplify]: Simplify R into R 15.398 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) 15.398 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in phi2 15.398 * [taylor]: Taking taylor expansion of -1 in phi2 15.398 * [backup-simplify]: Simplify -1 into -1 15.398 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in phi2 15.398 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi2 15.398 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 15.398 * [taylor]: Taking taylor expansion of R in phi2 15.398 * [backup-simplify]: Simplify R into R 15.399 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) 15.399 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)) 15.399 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)) in phi1 15.399 * [taylor]: Taking taylor expansion of -1 in phi1 15.399 * [backup-simplify]: Simplify -1 into -1 15.399 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) in phi1 15.399 * [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 15.400 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 15.400 * [taylor]: Taking taylor expansion of R in phi1 15.400 * [backup-simplify]: Simplify R into R 15.400 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) 15.401 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) 15.401 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in lambda1 15.401 * [taylor]: Taking taylor expansion of -1 in lambda1 15.401 * [backup-simplify]: Simplify -1 into -1 15.401 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in lambda1 15.401 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1 15.401 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 15.401 * [taylor]: Taking taylor expansion of R in lambda1 15.401 * [backup-simplify]: Simplify R into R 15.402 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) 15.402 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)) 15.402 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)) in lambda2 15.402 * [taylor]: Taking taylor expansion of -1 in lambda2 15.402 * [backup-simplify]: Simplify -1 into -1 15.402 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) in lambda2 15.402 * [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 15.403 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 15.403 * [taylor]: Taking taylor expansion of R in lambda2 15.403 * [backup-simplify]: Simplify R into R 15.403 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) 15.403 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) 15.403 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in R 15.404 * [taylor]: Taking taylor expansion of -1 in R 15.404 * [backup-simplify]: Simplify -1 into -1 15.404 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in R 15.404 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in R 15.404 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 15.404 * [taylor]: Taking taylor expansion of R in R 15.404 * [backup-simplify]: Simplify 0 into 0 15.404 * [backup-simplify]: Simplify 1 into 1 15.404 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 1) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 15.405 * [backup-simplify]: Simplify (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) into (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) 15.405 * [backup-simplify]: Simplify (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) into (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) 15.406 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) (/ 0 R)))) into 0 15.407 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R))) into 0 15.407 * [taylor]: Taking taylor expansion of 0 in phi1 15.407 * [backup-simplify]: Simplify 0 into 0 15.407 * [taylor]: Taking taylor expansion of 0 in lambda1 15.407 * [backup-simplify]: Simplify 0 into 0 15.407 * [taylor]: Taking taylor expansion of 0 in lambda2 15.407 * [backup-simplify]: Simplify 0 into 0 15.407 * [taylor]: Taking taylor expansion of 0 in R 15.407 * [backup-simplify]: Simplify 0 into 0 15.408 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) (/ 0 R)))) into 0 15.408 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R))) into 0 15.409 * [taylor]: Taking taylor expansion of 0 in lambda1 15.409 * [backup-simplify]: Simplify 0 into 0 15.409 * [taylor]: Taking taylor expansion of 0 in lambda2 15.409 * [backup-simplify]: Simplify 0 into 0 15.409 * [taylor]: Taking taylor expansion of 0 in R 15.409 * [backup-simplify]: Simplify 0 into 0 15.409 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) (/ 0 R)))) into 0 15.410 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R))) into 0 15.410 * [taylor]: Taking taylor expansion of 0 in lambda2 15.410 * [backup-simplify]: Simplify 0 into 0 15.410 * [taylor]: Taking taylor expansion of 0 in R 15.410 * [backup-simplify]: Simplify 0 into 0 15.411 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) (/ 0 R)))) into 0 15.411 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R))) into 0 15.411 * [taylor]: Taking taylor expansion of 0 in R 15.411 * [backup-simplify]: Simplify 0 into 0 15.412 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) (/ 0 1)))) into 0 15.413 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))))) into 0 15.413 * [backup-simplify]: Simplify 0 into 0 15.414 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 15.415 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)))) into 0 15.415 * [taylor]: Taking taylor expansion of 0 in phi1 15.415 * [backup-simplify]: Simplify 0 into 0 15.415 * [taylor]: Taking taylor expansion of 0 in lambda1 15.415 * [backup-simplify]: Simplify 0 into 0 15.415 * [taylor]: Taking taylor expansion of 0 in lambda2 15.415 * [backup-simplify]: Simplify 0 into 0 15.416 * [taylor]: Taking taylor expansion of 0 in R 15.416 * [backup-simplify]: Simplify 0 into 0 15.416 * [taylor]: Taking taylor expansion of 0 in lambda1 15.416 * [backup-simplify]: Simplify 0 into 0 15.416 * [taylor]: Taking taylor expansion of 0 in lambda2 15.416 * [backup-simplify]: Simplify 0 into 0 15.416 * [taylor]: Taking taylor expansion of 0 in R 15.416 * [backup-simplify]: Simplify 0 into 0 15.417 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 15.418 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)))) into 0 15.418 * [taylor]: Taking taylor expansion of 0 in lambda1 15.418 * [backup-simplify]: Simplify 0 into 0 15.418 * [taylor]: Taking taylor expansion of 0 in lambda2 15.418 * [backup-simplify]: Simplify 0 into 0 15.418 * [taylor]: Taking taylor expansion of 0 in R 15.419 * [backup-simplify]: Simplify 0 into 0 15.419 * [taylor]: Taking taylor expansion of 0 in lambda2 15.419 * [backup-simplify]: Simplify 0 into 0 15.419 * [taylor]: Taking taylor expansion of 0 in R 15.419 * [backup-simplify]: Simplify 0 into 0 15.419 * [taylor]: Taking taylor expansion of 0 in lambda2 15.419 * [backup-simplify]: Simplify 0 into 0 15.419 * [taylor]: Taking taylor expansion of 0 in R 15.419 * [backup-simplify]: Simplify 0 into 0 15.420 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 15.421 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)))) into 0 15.421 * [taylor]: Taking taylor expansion of 0 in lambda2 15.421 * [backup-simplify]: Simplify 0 into 0 15.421 * [taylor]: Taking taylor expansion of 0 in R 15.421 * [backup-simplify]: Simplify 0 into 0 15.421 * [taylor]: Taking taylor expansion of 0 in R 15.421 * [backup-simplify]: Simplify 0 into 0 15.422 * [taylor]: Taking taylor expansion of 0 in R 15.422 * [backup-simplify]: Simplify 0 into 0 15.422 * [taylor]: Taking taylor expansion of 0 in R 15.422 * [backup-simplify]: Simplify 0 into 0 15.422 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 15.424 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)))) into 0 15.424 * [taylor]: Taking taylor expansion of 0 in R 15.424 * [backup-simplify]: Simplify 0 into 0 15.424 * [backup-simplify]: Simplify 0 into 0 15.424 * [backup-simplify]: Simplify 0 into 0 15.424 * [backup-simplify]: Simplify 0 into 0 15.425 * [backup-simplify]: Simplify 0 into 0 15.427 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.428 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))))) into 0 15.428 * [backup-simplify]: Simplify 0 into 0 15.430 * [backup-simplify]: Simplify (* (* -1 (acos (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (sin (/ -1 (/ 1 (- lambda2))))))) (+ (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (cos (/ -1 (/ 1 (- lambda2))))))))))) (* (/ 1 (/ 1 (- R))) (* 1 (* 1 (* 1 1))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 15.430 * * * [progress]: simplifying candidates 15.430 * * * * [progress]: [ 1 / 74 ] simplifiying candidate # 15.430 * * * * [progress]: [ 2 / 74 ] simplifiying candidate # 15.430 * * * * [progress]: [ 3 / 74 ] simplifiying candidate # 15.431 * * * * [progress]: [ 4 / 74 ] simplifiying candidate # 15.431 * * * * [progress]: [ 5 / 74 ] simplifiying candidate # 15.431 * * * * [progress]: [ 6 / 74 ] simplifiying candidate # 15.431 * * * * [progress]: [ 7 / 74 ] simplifiying candidate # 15.431 * * * * [progress]: [ 8 / 74 ] simplifiying candidate # 15.431 * * * * [progress]: [ 9 / 74 ] simplifiying candidate #real (real->posit16 (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))))))) R))> 15.431 * * * * [progress]: [ 10 / 74 ] simplifiying candidate # 15.431 * * * * [progress]: [ 11 / 74 ] simplifiying candidate # 15.431 * * * * [progress]: [ 12 / 74 ] simplifiying candidate # 15.431 * * * * [progress]: [ 13 / 74 ] simplifiying candidate # 15.431 * * * * [progress]: [ 14 / 74 ] simplifiying candidate # 15.431 * * * * [progress]: [ 15 / 74 ] simplifiying candidate # 15.431 * * * * [progress]: [ 16 / 74 ] simplifiying candidate # 15.431 * * * * [progress]: [ 17 / 74 ] simplifiying candidate # 15.431 * * * * [progress]: [ 18 / 74 ] simplifiying candidate # 15.432 * * * * [progress]: [ 19 / 74 ] simplifiying candidate # 15.432 * * * * [progress]: [ 20 / 74 ] simplifiying candidate # 15.432 * * * * [progress]: [ 21 / 74 ] simplifiying candidate # 15.432 * * * * [progress]: [ 22 / 74 ] simplifiying candidate # 15.432 * * * * [progress]: [ 23 / 74 ] simplifiying candidate # 15.432 * * * * [progress]: [ 24 / 74 ] simplifiying candidate # 15.432 * * * * [progress]: [ 25 / 74 ] simplifiying candidate # 15.432 * * * * [progress]: [ 26 / 74 ] simplifiying candidate #real (real->posit16 (log (exp (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))))))) R))> 15.432 * * * * [progress]: [ 27 / 74 ] simplifiying candidate # 15.432 * * * * [progress]: [ 28 / 74 ] simplifiying candidate # 15.432 * * * * [progress]: [ 29 / 74 ] simplifiying candidate # 15.432 * * * * [progress]: [ 30 / 74 ] simplifiying candidate # 15.432 * * * * [progress]: [ 31 / 74 ] simplifiying candidate # 15.432 * * * * [progress]: [ 32 / 74 ] simplifiying candidate # 15.432 * * * * [progress]: [ 33 / 74 ] simplifiying candidate # 15.432 * * * * [progress]: [ 34 / 74 ] simplifiying candidate # 15.433 * * * * [progress]: [ 35 / 74 ] simplifiying candidate # 15.433 * * * * [progress]: [ 36 / 74 ] simplifiying candidate # 15.433 * * * * [progress]: [ 37 / 74 ] simplifiying candidate # 15.433 * * * * [progress]: [ 38 / 74 ] simplifiying candidate # 15.433 * * * * [progress]: [ 39 / 74 ] simplifiying candidate #real (real->posit16 (exp (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))))))) R))> 15.433 * * * * [progress]: [ 40 / 74 ] simplifiying candidate # 15.433 * * * * [progress]: [ 41 / 74 ] simplifiying candidate # 15.433 * * * * [progress]: [ 42 / 74 ] simplifiying candidate # 15.433 * * * * [progress]: [ 43 / 74 ] simplifiying candidate # 15.433 * * * * [progress]: [ 44 / 74 ] simplifiying candidate # 15.433 * * * * [progress]: [ 45 / 74 ] simplifiying candidate # 15.433 * * * * [progress]: [ 46 / 74 ] simplifiying candidate # 15.433 * * * * [progress]: [ 47 / 74 ] simplifiying candidate # 15.433 * * * * [progress]: [ 48 / 74 ] simplifiying candidate # 15.433 * * * * [progress]: [ 49 / 74 ] simplifiying candidate # 15.434 * * * * [progress]: [ 50 / 74 ] simplifiying candidate # 15.434 * * * * [progress]: [ 51 / 74 ] simplifiying candidate # 15.434 * * * * [progress]: [ 52 / 74 ] simplifiying candidate # 15.434 * * * * [progress]: [ 53 / 74 ] simplifiying candidate # 15.434 * * * * [progress]: [ 54 / 74 ] simplifiying candidate # 15.434 * * * * [progress]: [ 55 / 74 ] simplifiying candidate # 15.434 * * * * [progress]: [ 56 / 74 ] simplifiying candidate # 15.434 * * * * [progress]: [ 57 / 74 ] simplifiying candidate # 15.434 * * * * [progress]: [ 58 / 74 ] simplifiying candidate # 15.434 * * * * [progress]: [ 59 / 74 ] simplifiying candidate # 15.434 * * * * [progress]: [ 60 / 74 ] simplifiying candidate # 15.434 * * * * [progress]: [ 61 / 74 ] simplifiying candidate #real (real->posit16 (* (log (exp (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))))) R))))> 15.434 * * * * [progress]: [ 62 / 74 ] simplifiying candidate # 15.434 * * * * [progress]: [ 63 / 74 ] simplifiying candidate # 15.434 * * * * [progress]: [ 64 / 74 ] simplifiying candidate # 15.434 * * * * [progress]: [ 65 / 74 ] simplifiying candidate # 15.435 * * * * [progress]: [ 66 / 74 ] simplifiying candidate # 15.435 * * * * [progress]: [ 67 / 74 ] simplifiying candidate # 15.435 * * * * [progress]: [ 68 / 74 ] simplifiying candidate # 15.435 * * * * [progress]: [ 69 / 74 ] simplifiying candidate # 15.435 * * * * [progress]: [ 70 / 74 ] simplifiying candidate # 15.435 * * * * [progress]: [ 71 / 74 ] simplifiying candidate # 15.435 * * * * [progress]: [ 72 / 74 ] simplifiying candidate # 15.435 * * * * [progress]: [ 73 / 74 ] simplifiying candidate # 15.435 * * * * [progress]: [ 74 / 74 ] simplifiying candidate # 15.437 * [simplify]: Simplifying: (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))) (log (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1)))))) (exp (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1)))))) (* (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1)))))) (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))))) (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1)))))) (* (* (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))) (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1)))))) (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1)))))) (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1)))))) (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1)))))) (real->posit16 (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1)))))) (log (* (cbrt (exp (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))))) (cbrt (exp (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))))))) (log (cbrt (exp (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1)))))))) (log (sqrt (exp (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1)))))))) (log (sqrt (exp (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1)))))))) (log 1) (log (exp (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))))) (log (exp (/ PI 2))) (log (exp (asin (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))))) (log (exp (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))))) (log (exp (* (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1)))))) (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))))))) (log (exp (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1)))))))) (log (exp 1)) (log (log (exp (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1)))))))) (exp (log (exp (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1)))))))) (* (cbrt (log (exp (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1)))))))) (cbrt (log (exp (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))))))) (cbrt (log (exp (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1)))))))) (* (* (log (exp (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))))) (log (exp (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1)))))))) (log (exp (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1)))))))) (sqrt (log (exp (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1)))))))) (sqrt (log (exp (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1)))))))) (real->posit16 (log (exp (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1)))))))) (exp (* (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1)))))) (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1)))))))) (exp (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))))) (exp 1) (exp (/ PI 2)) (exp (asin (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1)))))) (log (exp (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))))) (exp (exp (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))))) (* (cbrt (exp (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))))) (cbrt (exp (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1)))))))) (cbrt (exp (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))))) (* (* (exp (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1)))))) (exp (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))))) (exp (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))))) (sqrt (exp (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))))) (sqrt (exp (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))))) (real->posit16 (exp (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))))) (* (log (exp (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))))) R) (+ (log (log (exp (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1)))))))) (log R)) (log (* (log (exp (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))))) R)) (exp (* (log (exp (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))))) R)) (* (* (* (log (exp (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))))) (log (exp (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1)))))))) (log (exp (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1)))))))) (* (* R R) R)) (* (cbrt (* (log (exp (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))))) R)) (cbrt (* (log (exp (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))))) R))) (cbrt (* (log (exp (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))))) R)) (* (* (* (log (exp (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))))) R) (* (log (exp (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))))) R)) (* (log (exp (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))))) R)) (sqrt (* (log (exp (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))))) R)) (sqrt (* (log (exp (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))))) R)) (* (sqrt (log (exp (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1)))))))) (sqrt R)) (* (sqrt (log (exp (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1)))))))) (sqrt R)) (* (log (exp (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))))) (* (cbrt R) (cbrt R))) (* (log (exp (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))))) (sqrt R)) (* (log (exp (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))))) 1) (* (log (exp (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))))) R) (* (log (exp (* (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1)))))) (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))))))) R) (* (log (exp (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1)))))))) R) (* (log (exp 1)) R) (* (cbrt (log (exp (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1)))))))) R) (* (sqrt (log (exp (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1)))))))) R) (* (log (exp (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))))) R) (real->posit16 (* (log (exp (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))))) R)) (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))) (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))) (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 15.441 * * [simplify]: iteration 0: 108 enodes 15.480 * * [simplify]: iteration 1: 186 enodes 15.542 * * [simplify]: iteration 2: 349 enodes 15.673 * * [simplify]: iteration 3: 649 enodes 15.930 * * [simplify]: iteration 4: 942 enodes 16.254 * * [simplify]: iteration 5: 1532 enodes 18.104 * * [simplify]: iteration 6: 4748 enodes 19.397 * * [simplify]: iteration complete: 5000 enodes 19.398 * * [simplify]: Extracting #0: cost 41 inf + 0 19.399 * * [simplify]: Extracting #1: cost 389 inf + 4 19.416 * * [simplify]: Extracting #2: cost 920 inf + 1603 19.424 * * [simplify]: Extracting #3: cost 1079 inf + 5683 19.430 * * [simplify]: Extracting #4: cost 1039 inf + 11327 19.436 * * [simplify]: Extracting #5: cost 1026 inf + 12567 19.444 * * [simplify]: Extracting #6: cost 1002 inf + 17854 19.452 * * [simplify]: Extracting #7: cost 995 inf + 21059 19.475 * * [simplify]: Extracting #8: cost 930 inf + 86238 19.607 * * [simplify]: Extracting #9: cost 469 inf + 570114 19.870 * * [simplify]: Extracting #10: cost 70 inf + 1011510 20.151 * * [simplify]: Extracting #11: cost 1 inf + 1093111 20.466 * * [simplify]: Extracting #12: cost 0 inf + 1094447 20.744 * [simplify]: Simplified to: (/ PI 2) (asin (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (cos phi1))) (* (sin phi1) (sin phi2)))) (log (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (cos phi1))) (* (sin phi1) (sin phi2))))) (exp (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (cos phi1))) (* (sin phi1) (sin phi2))))) (* (cbrt (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (cos phi1))) (* (sin phi1) (sin phi2))))) (cbrt (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (cos phi1))) (* (sin phi1) (sin phi2)))))) (cbrt (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (cos phi1))) (* (sin phi1) (sin phi2))))) (* (* (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (cos phi1))) (* (sin phi1) (sin phi2)))) (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (cos phi1))) (* (sin phi1) (sin phi2))))) (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (cos phi1))) (* (sin phi1) (sin phi2))))) (sqrt (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (cos phi1))) (* (sin phi1) (sin phi2))))) (sqrt (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (cos phi1))) (* (sin phi1) (sin phi2))))) (real->posit16 (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (cos phi1))) (* (sin phi1) (sin phi2))))) (log (* (cbrt (exp (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (cos phi1))) (* (sin phi1) (sin phi2)))))) (cbrt (exp (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (cos phi1))) (* (sin phi1) (sin phi2)))))))) (log (cbrt (exp (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (cos phi1))) (* (sin phi1) (sin phi2))))))) (* (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (cos phi1))) (* (sin phi1) (sin phi2)))) 1/2) (* (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (cos phi1))) (* (sin phi1) (sin phi2)))) 1/2) 0 (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (cos phi1))) (* (sin phi1) (sin phi2)))) (/ PI 2) (asin (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (cos phi1))) (* (sin phi1) (sin phi2)))) (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (cos phi1))) (* (sin phi1) (sin phi2)))) (* (cbrt (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (cos phi1))) (* (sin phi1) (sin phi2))))) (cbrt (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (cos phi1))) (* (sin phi1) (sin phi2)))))) (sqrt (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (cos phi1))) (* (sin phi1) (sin phi2))))) 1 (log (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (cos phi1))) (* (sin phi1) (sin phi2))))) (exp (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (cos phi1))) (* (sin phi1) (sin phi2))))) (* (cbrt (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (cos phi1))) (* (sin phi1) (sin phi2))))) (cbrt (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (cos phi1))) (* (sin phi1) (sin phi2)))))) (cbrt (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (cos phi1))) (* (sin phi1) (sin phi2))))) (* (* (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (cos phi1))) (* (sin phi1) (sin phi2)))) (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (cos phi1))) (* (sin phi1) (sin phi2))))) (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (cos phi1))) (* (sin phi1) (sin phi2))))) (sqrt (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (cos phi1))) (* (sin phi1) (sin phi2))))) (sqrt (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (cos phi1))) (* (sin phi1) (sin phi2))))) (real->posit16 (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (cos phi1))) (* (sin phi1) (sin phi2))))) (exp (* (cbrt (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (cos phi1))) (* (sin phi1) (sin phi2))))) (cbrt (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (cos phi1))) (* (sin phi1) (sin phi2))))))) (exp (sqrt (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (cos phi1))) (* (sin phi1) (sin phi2)))))) E (sqrt (exp PI)) (exp (asin (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (cos phi1))) (* (sin phi1) (sin phi2))))) (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (cos phi1))) (* (sin phi1) (sin phi2)))) (exp (exp (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (cos phi1))) (* (sin phi1) (sin phi2)))))) (* (cbrt (exp (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (cos phi1))) (* (sin phi1) (sin phi2)))))) (cbrt (exp (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (cos phi1))) (* (sin phi1) (sin phi2))))))) (cbrt (exp (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (cos phi1))) (* (sin phi1) (sin phi2)))))) (exp (* (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (cos phi1))) (* (sin phi1) (sin phi2)))) 3)) (sqrt (exp (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (cos phi1))) (* (sin phi1) (sin phi2)))))) (sqrt (exp (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (cos phi1))) (* (sin phi1) (sin phi2)))))) (real->posit16 (exp (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (cos phi1))) (* (sin phi1) (sin phi2)))))) (* (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (cos phi1))) (* (sin phi1) (sin phi2)))) R) (log (* (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (cos phi1))) (* (sin phi1) (sin phi2)))) R)) (log (* (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (cos phi1))) (* (sin phi1) (sin phi2)))) R)) (exp (* (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (cos phi1))) (* (sin phi1) (sin phi2)))) R)) (* (* (* (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (cos phi1))) (* (sin phi1) (sin phi2)))) R) (* (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (cos phi1))) (* (sin phi1) (sin phi2)))) R)) (* (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (cos phi1))) (* (sin phi1) (sin phi2)))) R)) (* (cbrt (* (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (cos phi1))) (* (sin phi1) (sin phi2)))) R)) (cbrt (* (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (cos phi1))) (* (sin phi1) (sin phi2)))) R))) (cbrt (* (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (cos phi1))) (* (sin phi1) (sin phi2)))) R)) (* (* (* (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (cos phi1))) (* (sin phi1) (sin phi2)))) R) (* (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (cos phi1))) (* (sin phi1) (sin phi2)))) R)) (* (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (cos phi1))) (* (sin phi1) (sin phi2)))) R)) (sqrt (* (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (cos phi1))) (* (sin phi1) (sin phi2)))) R)) (sqrt (* (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (cos phi1))) (* (sin phi1) (sin phi2)))) R)) (* (sqrt R) (sqrt (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (cos phi1))) (* (sin phi1) (sin phi2)))))) (* (sqrt R) (sqrt (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (cos phi1))) (* (sin phi1) (sin phi2)))))) (* (* (cbrt R) (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (cos phi1))) (* (sin phi1) (sin phi2))))) (cbrt R)) (* (sqrt R) (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (cos phi1))) (* (sin phi1) (sin phi2))))) (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (cos phi1))) (* (sin phi1) (sin phi2)))) (* (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (cos phi1))) (* (sin phi1) (sin phi2)))) R) (* (cbrt (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (cos phi1))) (* (sin phi1) (sin phi2))))) (* (cbrt (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (cos phi1))) (* (sin phi1) (sin phi2))))) R)) (* (sqrt (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (cos phi1))) (* (sin phi1) (sin phi2))))) R) R (* (cbrt (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (cos phi1))) (* (sin phi1) (sin phi2))))) R) (* (sqrt (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (cos phi1))) (* (sin phi1) (sin phi2))))) R) (* (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (cos phi1))) (* (sin phi1) (sin phi2)))) R) (real->posit16 (* (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (cos phi1))) (* (sin phi1) (sin phi2)))) R)) (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (cos phi1))) (* (sin phi1) (sin phi2)))) (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (cos phi1))) (* (sin phi1) (sin phi2)))) (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (cos phi1))) (* (sin phi1) (sin phi2)))) (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (cos phi1))) (* (sin phi1) (sin phi2)))) (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (cos phi1))) (* (sin phi1) (sin phi2)))) (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (cos phi1))) (* (sin phi1) (sin phi2)))) (exp (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (cos phi1))) (* (sin phi1) (sin phi2))))) (exp (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (cos phi1))) (* (sin phi1) (sin phi2))))) (exp (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (cos phi1))) (* (sin phi1) (sin phi2))))) (* (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (cos phi1))) (* (sin phi1) (sin phi2)))) R) (* (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (cos phi1))) (* (sin phi1) (sin phi2)))) R) (* (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (cos phi1))) (* (sin phi1) (sin phi2)))) R) 20.758 * * * [progress]: adding candidates to table 21.494 * [progress]: [Phase 3 of 3] Extracting. 21.494 * * [regime]: Finding splitpoints for: (# # # # # # # # #real (real->posit16 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))> # # # # # # #real (real->posit16 (* (sin lambda1) (sin lambda2)))))))) R))> #) 21.510 * * * [regime-changes]: Trying 7 branch expressions: ((- lambda1 lambda2) (cos (- lambda1 lambda2)) phi2 phi1 lambda2 lambda1 R) 21.510 * * * * [regimes]: Trying to branch on (- lambda1 lambda2) from (# # # # # # # # #real (real->posit16 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))> # # # # # # #real (real->posit16 (* (sin lambda1) (sin lambda2)))))))) R))> #) 21.743 * * * * [regimes]: Trying to branch on (cos (- lambda1 lambda2)) from (# # # # # # # # #real (real->posit16 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))> # # # # # # #real (real->posit16 (* (sin lambda1) (sin lambda2)))))))) R))> #) 21.992 * * * * [regimes]: Trying to branch on phi2 from (# # # # # # # # #real (real->posit16 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))> # # # # # # #real (real->posit16 (* (sin lambda1) (sin lambda2)))))))) R))> #) 22.231 * * * * [regimes]: Trying to branch on phi1 from (# # # # # # # # #real (real->posit16 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))> # # # # # # #real (real->posit16 (* (sin lambda1) (sin lambda2)))))))) R))> #) 22.457 * * * * [regimes]: Trying to branch on lambda2 from (# # # # # # # # #real (real->posit16 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))> # # # # # # #real (real->posit16 (* (sin lambda1) (sin lambda2)))))))) R))> #) 22.678 * * * * [regimes]: Trying to branch on lambda1 from (# # # # # # # # #real (real->posit16 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))> # # # # # # #real (real->posit16 (* (sin lambda1) (sin lambda2)))))))) R))> #) 22.922 * * * * [regimes]: Trying to branch on R from (# # # # # # # # #real (real->posit16 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))> # # # # # # #real (real->posit16 (* (sin lambda1) (sin lambda2)))))))) R))> #) 23.155 * * * [regime]: Found split indices: #