* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 * * * * [misc]points: Computing exacts on every 16 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Setting MPFR precision to 832 * * * * [misc]points: Computing exacts on every 8 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Setting MPFR precision to 832 * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 4 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 2 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 256 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 256 points with exact outputs * * * [misc]progress: [2/2] Setting up program. * [misc]progress: [Phase 2 of 3] Improving. * [enter]simplify: Simplifying (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi2) (cos phi1)) (cos (- lambda1 lambda2))))) R) * * [misc]progress: iteration 1 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 1 2 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 1 2 2) * [misc]approximate: Taking taylor expansion of (cos (- lambda1 lambda2)) in (lambda1 lambda2) around 0 * [misc]taylor: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of (- lambda1 lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ lambda1 0) into lambda1 * [misc]backup-simplify: Simplify (cos lambda1) into (cos lambda1) * [misc]backup-simplify: Simplify (sin lambda1) into (sin lambda1) * [misc]taylor: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda1 lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (+ 0 (- lambda2)) into (- lambda2) * [misc]backup-simplify: Simplify (cos (- lambda2)) into (cos (- lambda2)) * [misc]backup-simplify: Simplify (sin (- lambda2)) into (sin (- lambda2)) * [misc]taylor: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda1 lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (+ 0 (- lambda2)) into (- lambda2) * [misc]backup-simplify: Simplify (cos (- lambda2)) into (cos (- lambda2)) * [misc]backup-simplify: Simplify (sin (- lambda2)) into (sin (- lambda2)) * [misc]backup-simplify: Simplify (* (cos (- lambda2)) 1) into (cos (- lambda2)) * [misc]backup-simplify: Simplify (* (sin (- lambda2)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- lambda2)) 0) into (cos (- lambda2)) * [misc]taylor: Taking taylor expansion of (cos (- lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of (- lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- lambda2)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* (sin (- lambda2)) 1) (* 0 0)) into (sin (- lambda2)) * [misc]backup-simplify: Simplify (- (sin (- lambda2))) into (- (sin (- lambda2))) * [misc]backup-simplify: Simplify (+ 0 (- (sin (- lambda2)))) into (- (sin (- lambda2))) * [misc]taylor: Taking taylor expansion of (- (sin (- lambda2))) in lambda2 * [misc]taylor: Taking taylor expansion of (sin (- lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of (- lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (+ (* (cos (- lambda2)) (- 1/2)) (+ (* 0 0) (* 0 1))) into (- (* 1/2 (cos (- lambda2)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- lambda2)) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/2 (cos (- lambda2)))) 0) into (- (* 1/2 (cos (- lambda2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (cos (- lambda2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/2 (cos (- lambda2))) in lambda2 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (cos (- lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of (- lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow -1 1) 1))) into (- 1) * [misc]backup-simplify: Simplify (- (- 1)) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (* lambda2 lambda1)) (+ (* -1/2 (pow (* 1 lambda1) 2)) 1)) into (- (+ (* lambda1 lambda2) 1) (* 1/2 (pow lambda1 2))) * [misc]approximate: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in (lambda1 lambda2) around 0 * [misc]taylor: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (/ 1 lambda1) into (/ 1 lambda1) * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) * [misc]taylor: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (/ 1 lambda2) into (/ 1 lambda2) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) * [misc]taylor: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (/ 1 lambda2) into (/ 1 lambda2) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) * [misc]taylor: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (/ 1 lambda1) into (/ 1 lambda1) * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) * [misc]backup-simplify: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos (- (/ 1 (/ 1 lambda1)) (/ 1 (/ 1 lambda2)))) into (cos (- lambda1 lambda2)) * [misc]approximate: Taking taylor expansion of (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2)))) in (lambda1 lambda2) around 0 * [misc]taylor: Taking taylor expansion of (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda1)) in lambda2 * [misc]taylor: Taking taylor expansion of (- lambda1) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (/ 1 (- lambda1)) into (/ -1 lambda1) * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of (- lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2)))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) * [misc]taylor: Taking taylor expansion of (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2)))) in lambda1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda1)) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda1) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda2)) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (/ 1 (- lambda2)) into (/ -1 lambda2) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2)))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) * [misc]taylor: Taking taylor expansion of (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2)))) in lambda1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda1)) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda1) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda2)) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (/ 1 (- lambda2)) into (/ -1 lambda2) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2)))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) * [misc]taylor: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (/ 1 lambda1) into (/ 1 lambda1) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) * [misc]backup-simplify: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos (- (/ 1 (/ 1 (- lambda2))) (/ 1 (/ 1 (- lambda1))))) into (cos (- lambda1 lambda2)) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) in (phi1 phi2 lambda1 lambda2) around 0 * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) in lambda2 * [misc]backup-simplify: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) into (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))))) * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) in lambda1 * [misc]backup-simplify: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) into (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))))) * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) in phi2 * [misc]backup-simplify: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) into (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))))) * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) in phi1 * [misc]backup-simplify: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) into (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))))) * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) in phi1 * [misc]backup-simplify: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) into (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))))) * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))))) in phi2 * [misc]backup-simplify: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))))) into (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))))) * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))))) in lambda1 * [misc]backup-simplify: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))))) into (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))))) * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))))) in lambda2 * [misc]backup-simplify: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))))) into (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))))) * [misc]backup-simplify: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))))) into (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))))) * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))))) into (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))))) * [misc]approximate: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (cos (- (/ 1 lambda1) (/ 1 lambda2)))))) in (phi1 phi2 lambda1 lambda2) around 0 * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (cos (- (/ 1 lambda1) (/ 1 lambda2)))))) in lambda2 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (cos (- (/ 1 lambda1) (/ 1 lambda2)))))) into (acos (+ (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (cos (- (/ 1 lambda1) (/ 1 lambda2)))))) in lambda1 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (cos (- (/ 1 lambda1) (/ 1 lambda2)))))) into (acos (+ (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (cos (- (/ 1 lambda1) (/ 1 lambda2)))))) in phi2 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (cos (- (/ 1 lambda1) (/ 1 lambda2)))))) into (acos (+ (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (cos (- (/ 1 lambda1) (/ 1 lambda2)))))) in phi1 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (cos (- (/ 1 lambda1) (/ 1 lambda2)))))) into (acos (+ (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (cos (- (/ 1 lambda1) (/ 1 lambda2)))))) in phi1 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (cos (- (/ 1 lambda1) (/ 1 lambda2)))))) into (acos (+ (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) * [misc]taylor: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) in phi2 * [misc]backup-simplify: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) into (acos (+ (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) * [misc]taylor: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) in lambda1 * [misc]backup-simplify: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) into (acos (+ (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) * [misc]taylor: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) in lambda2 * [misc]backup-simplify: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) into (acos (+ (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) * [misc]backup-simplify: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) into (acos (+ (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (acos (+ (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 phi1))) (cos (- (/ 1 (/ 1 lambda1)) (/ 1 (/ 1 lambda2)))))) (* (sin (/ 1 (/ 1 phi1))) (sin (/ 1 (/ 1 phi2)))))) into (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))))) * [misc]approximate: Taking taylor expansion of (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2))))))) in (phi1 phi2 lambda1 lambda2) around 0 * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2))))))) in lambda2 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2))))))) into (acos (+ (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2))))))) in lambda1 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2))))))) into (acos (+ (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2))))))) in phi2 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2))))))) into (acos (+ (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2))))))) in phi1 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2))))))) into (acos (+ (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2))))))) in phi1 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2))))))) into (acos (+ (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) * [misc]taylor: Taking taylor expansion of (acos (+ (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi2 * [misc]backup-simplify: Simplify (acos (+ (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) into (acos (+ (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) * [misc]taylor: Taking taylor expansion of (acos (+ (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda1 * [misc]backup-simplify: Simplify (acos (+ (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) into (acos (+ (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) * [misc]taylor: Taking taylor expansion of (acos (+ (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda2 * [misc]backup-simplify: Simplify (acos (+ (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) into (acos (+ (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) * [misc]backup-simplify: Simplify (acos (+ (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) into (acos (+ (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (acos (+ (* (cos (- (/ 1 (/ 1 (- lambda2))) (/ 1 (/ 1 (- lambda1))))) (* (cos (/ -1 (/ 1 (- phi1)))) (cos (/ -1 (/ 1 (- phi2)))))) (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))))) into (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1 1) * [misc]approximate: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 * [misc]taylor: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 * [misc]taylor: Taking taylor expansion of (sin phi1) in phi2 * [misc]taylor: Taking taylor expansion of phi1 in phi2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (sin phi1) into (sin phi1) * [misc]backup-simplify: Simplify (cos phi1) into (cos phi1) * [misc]taylor: Taking taylor expansion of (sin phi2) in phi2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 * [misc]taylor: Taking taylor expansion of (sin phi1) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sin phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (sin phi2) into (sin phi2) * [misc]backup-simplify: Simplify (cos phi2) into (cos phi2) * [misc]taylor: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 * [misc]taylor: Taking taylor expansion of (sin phi1) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sin phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (sin phi2) into (sin phi2) * [misc]backup-simplify: Simplify (cos phi2) into (cos phi2) * [misc]backup-simplify: Simplify (* (sin phi2) 1) into (sin phi2) * [misc]backup-simplify: Simplify (* (cos phi2) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin phi2) 0) into (sin phi2) * [misc]backup-simplify: Simplify (* 0 (sin phi2)) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin phi2) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos phi2) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (sin phi2))) into (sin phi2) * [misc]taylor: Taking taylor expansion of (sin phi2) in phi2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin phi2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* (- 1/6) (sin phi2))))) into (- (* 1/6 (sin phi2))) * [misc]taylor: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2 * [misc]taylor: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 * [misc]taylor: Taking taylor expansion of 1/6 in phi2 * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (sin phi2) in phi2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/6 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* (- 1/6) 0) (* 0 (sin phi2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* phi2 phi1)) into (* phi1 phi2) * [misc]approximate: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0 * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 * [misc]taylor: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi2 * [misc]taylor: Taking taylor expansion of phi1 in phi2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]backup-simplify: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) * [misc]backup-simplify: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 * [misc]taylor: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]backup-simplify: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) * [misc]backup-simplify: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 * [misc]taylor: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]backup-simplify: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) * [misc]backup-simplify: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) * [misc]backup-simplify: Simplify (* (sin (/ 1 phi2)) 1) into (sin (/ 1 phi2)) * [misc]backup-simplify: Simplify (* (cos (/ 1 phi2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 phi2)) 0) into (sin (/ 1 phi2)) * [misc]backup-simplify: Simplify (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) into (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 * [misc]taylor: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi2 * [misc]taylor: Taking taylor expansion of phi1 in phi2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]backup-simplify: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) * [misc]backup-simplify: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) * [misc]backup-simplify: Simplify (* (sin (/ 1 phi1)) 1) into (sin (/ 1 phi1)) * [misc]backup-simplify: Simplify (* (cos (/ 1 phi1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 phi1)) 0) into (sin (/ 1 phi1)) * [misc]backup-simplify: Simplify (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) into (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) * [misc]backup-simplify: Simplify (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) into (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 (sin (/ 1 phi2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 phi1)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 (sin (/ 1 phi2)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 phi2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (sin (/ 1 (/ 1 phi1))) (sin (/ 1 (/ 1 phi2)))) into (* (sin phi1) (sin phi2)) * [misc]approximate: Taking taylor expansion of (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) in (phi1 phi2) around 0 * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) in phi2 * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- phi1))) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi1)) in phi2 * [misc]taylor: Taking taylor expansion of (- phi1) in phi2 * [misc]taylor: Taking taylor expansion of phi1 in phi2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (/ 1 (- phi1)) into (/ -1 phi1) * [misc]backup-simplify: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) * [misc]backup-simplify: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- phi2))) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi2)) in phi2 * [misc]taylor: Taking taylor expansion of (- phi2) in phi2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- phi2))) into (sin (/ -1 phi2)) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) in phi1 * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- phi1))) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi1)) in phi1 * [misc]taylor: Taking taylor expansion of (- phi1) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- phi1))) into (sin (/ -1 phi1)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- phi2))) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi2)) in phi1 * [misc]taylor: Taking taylor expansion of (- phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (/ 1 (- phi2)) into (/ -1 phi2) * [misc]backup-simplify: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) * [misc]backup-simplify: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) in phi1 * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- phi1))) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi1)) in phi1 * [misc]taylor: Taking taylor expansion of (- phi1) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- phi1))) into (sin (/ -1 phi1)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- phi2))) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi2)) in phi1 * [misc]taylor: Taking taylor expansion of (- phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (/ 1 (- phi2)) into (/ -1 phi2) * [misc]backup-simplify: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) * [misc]backup-simplify: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) * [misc]backup-simplify: Simplify (* (sin (/ -1 phi2)) 1) into (sin (/ -1 phi2)) * [misc]backup-simplify: Simplify (* (cos (/ -1 phi2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 phi2)) 0) into (sin (/ -1 phi2)) * [misc]backup-simplify: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) * [misc]taylor: Taking taylor expansion of (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) in phi2 * [misc]taylor: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 * [misc]taylor: Taking taylor expansion of (/ -1 phi2) in phi2 * [misc]taylor: Taking taylor expansion of -1 in phi2 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) * [misc]taylor: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 * [misc]taylor: Taking taylor expansion of (/ -1 phi1) in phi2 * [misc]taylor: Taking taylor expansion of -1 in phi2 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of phi1 in phi2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ -1 phi1) into (/ -1 phi1) * [misc]backup-simplify: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) * [misc]backup-simplify: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) * [misc]backup-simplify: Simplify (* (sin (/ -1 phi1)) 1) into (sin (/ -1 phi1)) * [misc]backup-simplify: Simplify (* (cos (/ -1 phi1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 phi1)) 0) into (sin (/ -1 phi1)) * [misc]backup-simplify: Simplify (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) * [misc]backup-simplify: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 phi2)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi2) (/ 0 (- phi2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 phi2)) 0) (* 0 (sin (/ -1 phi1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi2) (/ 0 (- phi2))) (* 0 (/ 0 (- phi2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi2) (/ 0 (- phi2))) (* 0 (/ 0 (- phi2))) (* 0 (/ 0 (- phi2))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (sin (/ -1 (/ 1 (- phi2)))) (sin (/ -1 (/ 1 (- phi1))))) into (* (sin phi1) (sin phi2)) * * * * [misc]progress: [ 4 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 * [misc]taylor: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) in R * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) in R * [misc]backup-simplify: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) into (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))))) * [misc]taylor: Taking taylor expansion of R in R * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) in lambda2 * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) in lambda2 * [misc]backup-simplify: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) into (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))))) * [misc]taylor: Taking taylor expansion of R in lambda2 * [misc]backup-simplify: Simplify R into R * [misc]taylor: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) in lambda1 * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) in lambda1 * [misc]backup-simplify: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) into (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))))) * [misc]taylor: Taking taylor expansion of R in lambda1 * [misc]backup-simplify: Simplify R into R * [misc]taylor: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) in phi2 * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) in phi2 * [misc]backup-simplify: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) into (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))))) * [misc]taylor: Taking taylor expansion of R in phi2 * [misc]backup-simplify: Simplify R into R * [misc]taylor: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) in phi1 * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) in phi1 * [misc]backup-simplify: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) into (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))))) * [misc]taylor: Taking taylor expansion of R in phi1 * [misc]backup-simplify: Simplify R into R * [misc]taylor: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) in phi1 * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) in phi1 * [misc]backup-simplify: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) into (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))))) * [misc]taylor: Taking taylor expansion of R in phi1 * [misc]backup-simplify: Simplify R into R * [misc]backup-simplify: Simplify (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))))) R) into (* R (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2))))))) * [misc]taylor: Taking taylor expansion of (* R (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2))))))) in phi2 * [misc]taylor: Taking taylor expansion of R in phi2 * [misc]backup-simplify: Simplify R into R * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))))) in phi2 * [misc]backup-simplify: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))))) into (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))))) * [misc]backup-simplify: Simplify (* R (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2))))))) into (* R (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2))))))) * [misc]taylor: Taking taylor expansion of (* R (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2))))))) in lambda1 * [misc]taylor: Taking taylor expansion of R in lambda1 * [misc]backup-simplify: Simplify R into R * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))))) in lambda1 * [misc]backup-simplify: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))))) into (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))))) * [misc]backup-simplify: Simplify (* R (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2))))))) into (* R (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2))))))) * [misc]taylor: Taking taylor expansion of (* R (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2))))))) in lambda2 * [misc]taylor: Taking taylor expansion of R in lambda2 * [misc]backup-simplify: Simplify R into R * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))))) in lambda2 * [misc]backup-simplify: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))))) into (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))))) * [misc]backup-simplify: Simplify (* R (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2))))))) into (* R (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2))))))) * [misc]taylor: Taking taylor expansion of (* R (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2))))))) in R * [misc]taylor: Taking taylor expansion of R in R * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))))) in R * [misc]backup-simplify: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))))) into (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))))) * [misc]backup-simplify: Simplify (* 0 (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))))) 0) (* 0 R)) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in R * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* R 0) (* 0 (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in R * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* R 0) (* 0 (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in R * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* R 0) (* 0 (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in R * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))))))) into (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))))) * [misc]backup-simplify: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))))) into (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))))) * [misc]backup-simplify: Simplify (+ (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))))) 0) (+ (* 0 0) (* 0 R))) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in R * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in R * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* R 0) (+ (* 0 0) (* 0 (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2))))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in R * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in R * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in R * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* R 0) (+ (* 0 0) (* 0 (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2))))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in R * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))))) (* R (* 1 (* 1 (* 1 1))))) into (* R (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2))))))) * [misc]approximate: Taking taylor expansion of (* (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (cos (- (/ 1 lambda1) (/ 1 lambda2)))))) (/ 1 R)) in (phi1 phi2 lambda1 lambda2 R) around 0 * [misc]taylor: Taking taylor expansion of (* (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (cos (- (/ 1 lambda1) (/ 1 lambda2)))))) (/ 1 R)) in R * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (cos (- (/ 1 lambda1) (/ 1 lambda2)))))) in R * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (cos (- (/ 1 lambda1) (/ 1 lambda2)))))) into (acos (+ (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) * [misc]taylor: Taking taylor expansion of (/ 1 R) in R * [misc]taylor: Taking taylor expansion of R in R * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (cos (- (/ 1 lambda1) (/ 1 lambda2)))))) (/ 1 R)) in lambda2 * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (cos (- (/ 1 lambda1) (/ 1 lambda2)))))) in lambda2 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (cos (- (/ 1 lambda1) (/ 1 lambda2)))))) into (acos (+ (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) * [misc]taylor: Taking taylor expansion of (/ 1 R) in lambda2 * [misc]taylor: Taking taylor expansion of R in lambda2 * [misc]backup-simplify: Simplify R into R * [misc]backup-simplify: Simplify (/ 1 R) into (/ 1 R) * [misc]taylor: Taking taylor expansion of (* (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (cos (- (/ 1 lambda1) (/ 1 lambda2)))))) (/ 1 R)) in lambda1 * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (cos (- (/ 1 lambda1) (/ 1 lambda2)))))) in lambda1 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (cos (- (/ 1 lambda1) (/ 1 lambda2)))))) into (acos (+ (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) * [misc]taylor: Taking taylor expansion of (/ 1 R) in lambda1 * [misc]taylor: Taking taylor expansion of R in lambda1 * [misc]backup-simplify: Simplify R into R * [misc]backup-simplify: Simplify (/ 1 R) into (/ 1 R) * [misc]taylor: Taking taylor expansion of (* (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (cos (- (/ 1 lambda1) (/ 1 lambda2)))))) (/ 1 R)) in phi2 * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (cos (- (/ 1 lambda1) (/ 1 lambda2)))))) in phi2 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (cos (- (/ 1 lambda1) (/ 1 lambda2)))))) into (acos (+ (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) * [misc]taylor: Taking taylor expansion of (/ 1 R) in phi2 * [misc]taylor: Taking taylor expansion of R in phi2 * [misc]backup-simplify: Simplify R into R * [misc]backup-simplify: Simplify (/ 1 R) into (/ 1 R) * [misc]taylor: Taking taylor expansion of (* (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (cos (- (/ 1 lambda1) (/ 1 lambda2)))))) (/ 1 R)) in phi1 * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (cos (- (/ 1 lambda1) (/ 1 lambda2)))))) in phi1 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (cos (- (/ 1 lambda1) (/ 1 lambda2)))))) into (acos (+ (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) * [misc]taylor: Taking taylor expansion of (/ 1 R) in phi1 * [misc]taylor: Taking taylor expansion of R in phi1 * [misc]backup-simplify: Simplify R into R * [misc]backup-simplify: Simplify (/ 1 R) into (/ 1 R) * [misc]taylor: Taking taylor expansion of (* (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (cos (- (/ 1 lambda1) (/ 1 lambda2)))))) (/ 1 R)) in phi1 * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (cos (- (/ 1 lambda1) (/ 1 lambda2)))))) in phi1 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (cos (- (/ 1 lambda1) (/ 1 lambda2)))))) into (acos (+ (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) * [misc]taylor: Taking taylor expansion of (/ 1 R) in phi1 * [misc]taylor: Taking taylor expansion of R in phi1 * [misc]backup-simplify: Simplify R into R * [misc]backup-simplify: Simplify (/ 1 R) into (/ 1 R) * [misc]backup-simplify: Simplify (* (acos (+ (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) (/ 1 R)) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) R) * [misc]taylor: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) R) in phi2 * [misc]taylor: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) in phi2 * [misc]backup-simplify: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) into (acos (+ (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) * [misc]taylor: Taking taylor expansion of R in phi2 * [misc]backup-simplify: Simplify R into R * [misc]backup-simplify: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) R) * [misc]taylor: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) R) in lambda1 * [misc]taylor: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) in lambda1 * [misc]backup-simplify: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) into (acos (+ (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) * [misc]taylor: Taking taylor expansion of R in lambda1 * [misc]backup-simplify: Simplify R into R * [misc]backup-simplify: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) R) * [misc]taylor: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) R) in lambda2 * [misc]taylor: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) in lambda2 * [misc]backup-simplify: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) into (acos (+ (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) * [misc]taylor: Taking taylor expansion of R in lambda2 * [misc]backup-simplify: Simplify R into R * [misc]backup-simplify: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) R) * [misc]taylor: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) R) in R * [misc]taylor: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) in R * [misc]backup-simplify: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) into (acos (+ (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) * [misc]taylor: Taking taylor expansion of R in R * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) 1) into (acos (+ (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) * [misc]backup-simplify: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) into (acos (+ (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 R) (/ 0 R)))) into 0 * [misc]backup-simplify: Simplify (+ (* (acos (+ (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) 0) (* 0 (/ 1 R))) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in R * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) R) (/ 0 R)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in R * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) R) (/ 0 R)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in R * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) R) (/ 0 R)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in R * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (acos (+ (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 * [misc]backup-simplify: Simplify (+ (* (acos (+ (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) 0) (+ (* 0 0) (* 0 (/ 1 R)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in R * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in R * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in R * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in R * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in R * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in R * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in R * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in R * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in R * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in R * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (acos (+ (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (acos (+ (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 phi1))) (cos (- (/ 1 (/ 1 lambda1)) (/ 1 (/ 1 lambda2)))))) (* (sin (/ 1 (/ 1 phi1))) (sin (/ 1 (/ 1 phi2)))))) (* (/ 1 (/ 1 R)) (* 1 (* 1 (* 1 1))))) into (* R (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2))))))) * [misc]approximate: Taking taylor expansion of (* (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2))))))) (/ 1 (- R))) in (phi1 phi2 lambda1 lambda2 R) around 0 * [misc]taylor: Taking taylor expansion of (* (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2))))))) (/ 1 (- R))) in R * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2))))))) in R * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2))))))) into (acos (+ (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) * [misc]taylor: Taking taylor expansion of (/ 1 (- R)) in R * [misc]taylor: Taking taylor expansion of (- R) in R * [misc]taylor: Taking taylor expansion of R in R * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2))))))) (/ 1 (- R))) in lambda2 * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2))))))) in lambda2 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2))))))) into (acos (+ (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) * [misc]taylor: Taking taylor expansion of (/ 1 (- R)) in lambda2 * [misc]taylor: Taking taylor expansion of (- R) in lambda2 * [misc]taylor: Taking taylor expansion of R in lambda2 * [misc]backup-simplify: Simplify R into R * [misc]backup-simplify: Simplify (- R) into (- R) * [misc]backup-simplify: Simplify (- R) into (- R) * [misc]backup-simplify: Simplify (/ 1 (- R)) into (/ -1 R) * [misc]taylor: Taking taylor expansion of (* (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2))))))) (/ 1 (- R))) in lambda1 * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2))))))) in lambda1 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2))))))) into (acos (+ (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) * [misc]taylor: Taking taylor expansion of (/ 1 (- R)) in lambda1 * [misc]taylor: Taking taylor expansion of (- R) in lambda1 * [misc]taylor: Taking taylor expansion of R in lambda1 * [misc]backup-simplify: Simplify R into R * [misc]backup-simplify: Simplify (- R) into (- R) * [misc]backup-simplify: Simplify (- R) into (- R) * [misc]backup-simplify: Simplify (/ 1 (- R)) into (/ -1 R) * [misc]taylor: Taking taylor expansion of (* (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2))))))) (/ 1 (- R))) in phi2 * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2))))))) in phi2 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2))))))) into (acos (+ (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) * [misc]taylor: Taking taylor expansion of (/ 1 (- R)) in phi2 * [misc]taylor: Taking taylor expansion of (- R) in phi2 * [misc]taylor: Taking taylor expansion of R in phi2 * [misc]backup-simplify: Simplify R into R * [misc]backup-simplify: Simplify (- R) into (- R) * [misc]backup-simplify: Simplify (- R) into (- R) * [misc]backup-simplify: Simplify (/ 1 (- R)) into (/ -1 R) * [misc]taylor: Taking taylor expansion of (* (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2))))))) (/ 1 (- R))) in phi1 * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2))))))) in phi1 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2))))))) into (acos (+ (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) * [misc]taylor: Taking taylor expansion of (/ 1 (- R)) in phi1 * [misc]taylor: Taking taylor expansion of (- R) in phi1 * [misc]taylor: Taking taylor expansion of R in phi1 * [misc]backup-simplify: Simplify R into R * [misc]backup-simplify: Simplify (- R) into (- R) * [misc]backup-simplify: Simplify (- R) into (- R) * [misc]backup-simplify: Simplify (/ 1 (- R)) into (/ -1 R) * [misc]taylor: Taking taylor expansion of (* (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2))))))) (/ 1 (- R))) in phi1 * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2))))))) in phi1 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2))))))) into (acos (+ (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) * [misc]taylor: Taking taylor expansion of (/ 1 (- R)) in phi1 * [misc]taylor: Taking taylor expansion of (- R) in phi1 * [misc]taylor: Taking taylor expansion of R in phi1 * [misc]backup-simplify: Simplify R into R * [misc]backup-simplify: Simplify (- R) into (- R) * [misc]backup-simplify: Simplify (- R) into (- R) * [misc]backup-simplify: Simplify (/ 1 (- R)) into (/ -1 R) * [misc]backup-simplify: Simplify (* (acos (+ (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (/ -1 R)) into (* -1 (/ (acos (+ (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) * [misc]taylor: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in phi2 * [misc]taylor: Taking taylor expansion of -1 in phi2 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (/ (acos (+ (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in phi2 * [misc]taylor: Taking taylor expansion of (acos (+ (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi2 * [misc]backup-simplify: Simplify (acos (+ (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) into (acos (+ (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) * [misc]taylor: Taking taylor expansion of R in phi2 * [misc]backup-simplify: Simplify R into R * [misc]backup-simplify: Simplify (/ (acos (+ (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) into (/ (acos (+ (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) * [misc]backup-simplify: Simplify (* -1 (/ (acos (+ (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) into (* -1 (/ (acos (+ (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) * [misc]taylor: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in lambda1 * [misc]taylor: Taking taylor expansion of -1 in lambda1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (/ (acos (+ (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in lambda1 * [misc]taylor: Taking taylor expansion of (acos (+ (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda1 * [misc]backup-simplify: Simplify (acos (+ (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) into (acos (+ (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) * [misc]taylor: Taking taylor expansion of R in lambda1 * [misc]backup-simplify: Simplify R into R * [misc]backup-simplify: Simplify (/ (acos (+ (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) into (/ (acos (+ (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) * [misc]backup-simplify: Simplify (* -1 (/ (acos (+ (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) into (* -1 (/ (acos (+ (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) * [misc]taylor: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in lambda2 * [misc]taylor: Taking taylor expansion of -1 in lambda2 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (/ (acos (+ (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in lambda2 * [misc]taylor: Taking taylor expansion of (acos (+ (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda2 * [misc]backup-simplify: Simplify (acos (+ (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) into (acos (+ (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) * [misc]taylor: Taking taylor expansion of R in lambda2 * [misc]backup-simplify: Simplify R into R * [misc]backup-simplify: Simplify (/ (acos (+ (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) into (/ (acos (+ (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) * [misc]backup-simplify: Simplify (* -1 (/ (acos (+ (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) into (* -1 (/ (acos (+ (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) * [misc]taylor: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in R * [misc]taylor: Taking taylor expansion of -1 in R * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (/ (acos (+ (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in R * [misc]taylor: Taking taylor expansion of (acos (+ (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in R * [misc]backup-simplify: Simplify (acos (+ (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) into (acos (+ (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) * [misc]taylor: Taking taylor expansion of R in R * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (acos (+ (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) 1) into (acos (+ (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) * [misc]backup-simplify: Simplify (* -1 (acos (+ (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (* -1 (acos (+ (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) * [misc]backup-simplify: Simplify (* -1 (acos (+ (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (* -1 (acos (+ (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- R) into (- R) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 R) (/ 0 (- R))))) into 0 * [misc]backup-simplify: Simplify (+ (* (acos (+ (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) 0) (* 0 (/ -1 R))) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in R * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) (/ 0 R)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R))) into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in R * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) (/ 0 R)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R))) into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in R * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) (/ 0 R)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R))) into 0 * [misc]taylor: Taking taylor expansion of 0 in R * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (acos (+ (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (acos (+ (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- R) into (- R) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- R) into (- R) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 R) (/ 0 (- R))) (* 0 (/ 0 (- R))))) into 0 * [misc]backup-simplify: Simplify (+ (* (acos (+ (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) 0) (+ (* 0 0) (* 0 (/ -1 R)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in R * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in R * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in R * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in R * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in R * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in R * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in R * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in R * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in R * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in R * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (acos (+ (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (acos (+ (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* -1 (acos (+ (* (cos (- (/ 1 (/ 1 (- lambda2))) (/ 1 (/ 1 (- lambda1))))) (* (cos (/ -1 (/ 1 (- phi1)))) (cos (/ -1 (/ 1 (- phi2)))))) (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2)))))))) (* (/ 1 (/ 1 (- R))) (* 1 (* 1 (* 1 1))))) into (* R (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2))))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos lambda1) (cos (- lambda2))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (* (cos lambda1) (cos lambda2)) * [misc]simplify: Simplified (2 1 1 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) * * * * [misc]progress: [ 2 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos lambda1) (cos (- lambda2))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (* (cos lambda1) (cos lambda2)) * [misc]simplify: Simplified (2 1 1 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) * * * * [misc]progress: [ 3 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos lambda1) (cos lambda2)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (* (cos lambda2) (cos lambda1)) * [misc]simplify: Simplified (2 1 1 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2)))))) R)) * * * * [misc]progress: [ 4 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (- (cos (- phi1 phi2)) (cos (+ phi2 phi1))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (/ (- (cos (- phi1 phi2)) (cos (+ phi2 phi1))) 2) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) * * * * [misc]progress: [ 20 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin phi1) (sin phi2)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (* (sin phi2) (sin phi1)) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (pow (* (sin phi2) (sin phi1)) 1) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) * * * * [misc]progress: [ 21 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (sin phi1)) (log (sin phi2))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (+ (log (sin phi1)) (log (sin phi2))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (exp (+ (log (sin phi1)) (log (sin phi2)))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) * * * * [misc]progress: [ 23 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (99 enodes) * [exit]simplify: Simplified to (pow (* (sin phi2) (sin phi1)) 3) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (pow (* (sin phi2) (sin phi1)) 3)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) * * * * [misc]progress: [ 26 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sin phi2)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (cbrt (sin phi2)) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (cbrt (sin phi2))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) * * * * [misc]progress: [ 31 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sin phi2)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (sin phi2)) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sin phi1) (sqrt (sin phi2))) (sqrt (sin phi2))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) * * * * [misc]progress: [ 32 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (sin phi2) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sin phi2) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sin phi1) 1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) * * * * [misc]progress: [ 33 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sin phi1)) (cbrt (sin phi1))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (* (cbrt (sin phi1)) (cbrt (sin phi1))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (cbrt (sin phi1)) (cbrt (sin phi1))) (* (cbrt (sin phi1)) (sin phi2))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) * * * * [misc]progress: [ 34 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sin phi1)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (sin phi1)) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sqrt (sin phi1)) (* (sqrt (sin phi1)) (sin phi2))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) * * * * [misc]progress: [ 35 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * [exit]simplify: Simplified to (* (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi2) (cos phi1)) (cos (- lambda1 lambda2)))))) (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi2) (cos phi1)) (cos (- lambda1 lambda2))))))) * [misc]simplify: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi2) (cos phi1)) (cos (- lambda1 lambda2)))))) (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi2) (cos phi1)) (cos (- lambda1 lambda2))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) R))) * * * * [misc]progress: [ 45 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * [exit]simplify: Simplified to (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi2) (cos phi1)) (cos (- lambda1 lambda2)))))) * [misc]simplify: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi2) (cos phi1)) (cos (- lambda1 lambda2)))))) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) R))) * * * * [misc]progress: [ 46 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* lambda1 lambda2) 1) (* 1/2 (pow lambda1 2))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (90 enodes) * [exit]simplify: Simplified to (- (+ 1 (* lambda2 lambda1)) (* lambda1 (* 1/2 lambda1))) * [misc]simplify: Simplified (2 1 1 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (+ 1 (* lambda2 lambda1)) (* lambda1 (* 1/2 lambda1)))))) R)) * * * * [misc]progress: [ 49 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (cos (- lambda1 lambda2)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (cos (- lambda1 lambda2)) * [misc]simplify: Simplified (2 1 1 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) * * * * [misc]progress: [ 50 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (cos (- lambda1 lambda2)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (cos (- lambda1 lambda2)) * [misc]simplify: Simplified (2 1 1 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) * * * * [misc]progress: [ 51 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * [exit]simplify: Simplified to (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) * [misc]simplify: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R)) * * * * [misc]progress: [ 52 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * [exit]simplify: Simplified to (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) * [misc]simplify: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R)) * * * * [misc]progress: [ 53 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * [exit]simplify: Simplified to (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) * [misc]simplify: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R)) * * * * [misc]progress: [ 54 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (* phi1 phi2) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* phi2 phi1) * [misc]simplify: Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* phi2 phi1) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) * * * * [misc]progress: [ 55 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin phi1) (sin phi2)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (* (sin phi2) (sin phi1)) * [misc]simplify: Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) * * * * [misc]progress: [ 56 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin phi1) (sin phi2)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (* (sin phi2) (sin phi1)) * [misc]simplify: Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) * * * * [misc]progress: [ 57 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (* R (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (* (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi1) (sin phi2)))) R) * [misc]simplify: Simplified (2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi1) (sin phi2)))) R)) * * * * [misc]progress: [ 58 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (* R (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (* (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi1) (sin phi2)))) R) * [misc]simplify: Simplified (2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi1) (sin phi2)))) R)) * * * * [misc]progress: [ 59 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (* R (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (* (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi1) (sin phi2)))) R) * [misc]simplify: Simplified (2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi1) (sin phi2)))) R)) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1 2 2 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) in (phi1 phi2 lambda1 lambda2) around 0 * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) in lambda2 * [misc]backup-simplify: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) in lambda1 * [misc]backup-simplify: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) in phi2 * [misc]backup-simplify: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) in phi1 * [misc]backup-simplify: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) in phi1 * [misc]backup-simplify: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) * [misc]taylor: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) in phi2 * [misc]backup-simplify: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) * [misc]taylor: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) in lambda1 * [misc]backup-simplify: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) * [misc]taylor: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) in lambda2 * [misc]backup-simplify: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) * [misc]backup-simplify: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) * [misc]approximate: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (- (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))) in (phi1 phi2 lambda1 lambda2) around 0 * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (- (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))) in lambda2 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (- (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))))))) * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (- (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))) in lambda1 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (- (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))))))) * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (- (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))) in phi2 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (- (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))))))) * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (- (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))) in phi1 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (- (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))))))) * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (- (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))) in phi1 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (- (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))))))) * [misc]taylor: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))))))) in phi2 * [misc]backup-simplify: Simplify (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda2)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))))))) * [misc]taylor: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda2)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))))))) in lambda1 * [misc]backup-simplify: Simplify (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda2)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))))))) * [misc]taylor: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))))))) in lambda2 * [misc]backup-simplify: Simplify (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda2)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))))))) * [misc]backup-simplify: Simplify (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda2)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))))))) * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (acos (- (+ (* (sin (/ 1 (/ 1 phi1))) (sin (/ 1 (/ 1 phi2)))) (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 phi1))) (cos (/ 1 (/ 1 lambda1))))))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 phi1))) (* (sin (- (/ 1 (/ 1 lambda2)))) (sin (/ 1 (/ 1 lambda1)))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) * [misc]approximate: Taking taylor expansion of (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (- (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (- (/ 1 (- lambda2))))))))) in (phi1 phi2 lambda1 lambda2) around 0 * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (- (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (- (/ 1 (- lambda2))))))))) in lambda2 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (- (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (- (/ 1 (- lambda2))))))))) into (acos (- (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (- (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (- (/ 1 (- lambda2))))))))) in lambda1 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (- (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (- (/ 1 (- lambda2))))))))) into (acos (- (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (- (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (- (/ 1 (- lambda2))))))))) in phi2 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (- (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (- (/ 1 (- lambda2))))))))) into (acos (- (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (- (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (- (/ 1 (- lambda2))))))))) in phi1 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (- (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (- (/ 1 (- lambda2))))))))) into (acos (- (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (- (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (- (/ 1 (- lambda2))))))))) in phi1 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (- (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (- (/ 1 (- lambda2))))))))) into (acos (- (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) * [misc]taylor: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) in phi2 * [misc]backup-simplify: Simplify (acos (- (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) * [misc]taylor: Taking taylor expansion of (acos (- (+ (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) in lambda1 * [misc]backup-simplify: Simplify (acos (- (+ (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) * [misc]taylor: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) in lambda2 * [misc]backup-simplify: Simplify (acos (- (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) * [misc]backup-simplify: Simplify (acos (- (+ (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (acos (- (+ (* (cos (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (cos (/ -1 (/ 1 (- lambda2))))))) (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2)))))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (sin (/ 1 (/ 1 (- lambda2)))) (* (cos (/ -1 (/ 1 (- phi1)))) (cos (/ -1 (/ 1 (- phi2))))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (sin (* -1 lambda2)) (* (cos phi2) (* (cos phi1) (sin lambda1)))))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1 1) * [misc]approximate: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 * [misc]taylor: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 * [misc]taylor: Taking taylor expansion of (sin phi1) in phi2 * [misc]taylor: Taking taylor expansion of phi1 in phi2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (sin phi1) into (sin phi1) * [misc]backup-simplify: Simplify (cos phi1) into (cos phi1) * [misc]taylor: Taking taylor expansion of (sin phi2) in phi2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 * [misc]taylor: Taking taylor expansion of (sin phi1) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sin phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (sin phi2) into (sin phi2) * [misc]backup-simplify: Simplify (cos phi2) into (cos phi2) * [misc]taylor: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 * [misc]taylor: Taking taylor expansion of (sin phi1) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sin phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (sin phi2) into (sin phi2) * [misc]backup-simplify: Simplify (cos phi2) into (cos phi2) * [misc]backup-simplify: Simplify (* (sin phi2) 1) into (sin phi2) * [misc]backup-simplify: Simplify (* (cos phi2) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin phi2) 0) into (sin phi2) * [misc]backup-simplify: Simplify (* 0 (sin phi2)) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin phi2) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos phi2) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (sin phi2))) into (sin phi2) * [misc]taylor: Taking taylor expansion of (sin phi2) in phi2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin phi2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* (- 1/6) (sin phi2))))) into (- (* 1/6 (sin phi2))) * [misc]taylor: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2 * [misc]taylor: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 * [misc]taylor: Taking taylor expansion of 1/6 in phi2 * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (sin phi2) in phi2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/6 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* (- 1/6) 0) (* 0 (sin phi2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* phi2 phi1)) into (* phi1 phi2) * [misc]approximate: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0 * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 * [misc]taylor: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi2 * [misc]taylor: Taking taylor expansion of phi1 in phi2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]backup-simplify: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) * [misc]backup-simplify: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 * [misc]taylor: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]backup-simplify: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) * [misc]backup-simplify: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 * [misc]taylor: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]backup-simplify: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) * [misc]backup-simplify: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) * [misc]backup-simplify: Simplify (* (sin (/ 1 phi2)) 1) into (sin (/ 1 phi2)) * [misc]backup-simplify: Simplify (* (cos (/ 1 phi2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 phi2)) 0) into (sin (/ 1 phi2)) * [misc]backup-simplify: Simplify (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) into (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 * [misc]taylor: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi2 * [misc]taylor: Taking taylor expansion of phi1 in phi2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]backup-simplify: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) * [misc]backup-simplify: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) * [misc]backup-simplify: Simplify (* (sin (/ 1 phi1)) 1) into (sin (/ 1 phi1)) * [misc]backup-simplify: Simplify (* (cos (/ 1 phi1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 phi1)) 0) into (sin (/ 1 phi1)) * [misc]backup-simplify: Simplify (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) into (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) * [misc]backup-simplify: Simplify (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) into (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 (sin (/ 1 phi2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 phi1)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 (sin (/ 1 phi2)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 phi2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (sin (/ 1 (/ 1 phi1))) (sin (/ 1 (/ 1 phi2)))) into (* (sin phi1) (sin phi2)) * [misc]approximate: Taking taylor expansion of (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) in (phi1 phi2) around 0 * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) in phi2 * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- phi1))) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi1)) in phi2 * [misc]taylor: Taking taylor expansion of (- phi1) in phi2 * [misc]taylor: Taking taylor expansion of phi1 in phi2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (/ 1 (- phi1)) into (/ -1 phi1) * [misc]backup-simplify: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) * [misc]backup-simplify: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- phi2))) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi2)) in phi2 * [misc]taylor: Taking taylor expansion of (- phi2) in phi2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- phi2))) into (sin (/ -1 phi2)) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) in phi1 * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- phi1))) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi1)) in phi1 * [misc]taylor: Taking taylor expansion of (- phi1) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- phi1))) into (sin (/ -1 phi1)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- phi2))) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi2)) in phi1 * [misc]taylor: Taking taylor expansion of (- phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (/ 1 (- phi2)) into (/ -1 phi2) * [misc]backup-simplify: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) * [misc]backup-simplify: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) in phi1 * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- phi1))) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi1)) in phi1 * [misc]taylor: Taking taylor expansion of (- phi1) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- phi1))) into (sin (/ -1 phi1)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- phi2))) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi2)) in phi1 * [misc]taylor: Taking taylor expansion of (- phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (/ 1 (- phi2)) into (/ -1 phi2) * [misc]backup-simplify: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) * [misc]backup-simplify: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) * [misc]backup-simplify: Simplify (* (sin (/ -1 phi2)) 1) into (sin (/ -1 phi2)) * [misc]backup-simplify: Simplify (* (cos (/ -1 phi2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 phi2)) 0) into (sin (/ -1 phi2)) * [misc]backup-simplify: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) * [misc]taylor: Taking taylor expansion of (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) in phi2 * [misc]taylor: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 * [misc]taylor: Taking taylor expansion of (/ -1 phi2) in phi2 * [misc]taylor: Taking taylor expansion of -1 in phi2 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) * [misc]taylor: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 * [misc]taylor: Taking taylor expansion of (/ -1 phi1) in phi2 * [misc]taylor: Taking taylor expansion of -1 in phi2 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of phi1 in phi2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ -1 phi1) into (/ -1 phi1) * [misc]backup-simplify: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) * [misc]backup-simplify: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) * [misc]backup-simplify: Simplify (* (sin (/ -1 phi1)) 1) into (sin (/ -1 phi1)) * [misc]backup-simplify: Simplify (* (cos (/ -1 phi1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 phi1)) 0) into (sin (/ -1 phi1)) * [misc]backup-simplify: Simplify (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) * [misc]backup-simplify: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 phi2)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi2) (/ 0 (- phi2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 phi2)) 0) (* 0 (sin (/ -1 phi1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi2) (/ 0 (- phi2))) (* 0 (/ 0 (- phi2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi2) (/ 0 (- phi2))) (* 0 (/ 0 (- phi2))) (* 0 (/ 0 (- phi2))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (sin (/ -1 (/ 1 (- phi2)))) (sin (/ -1 (/ 1 (- phi1))))) into (* (sin phi1) (sin phi2)) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1 2 2 2) * [misc]approximate: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in (lambda1 lambda2) around 0 * [misc]taylor: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in lambda2 * [misc]taylor: Taking taylor expansion of (sin lambda1) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (sin lambda1) into (sin lambda1) * [misc]backup-simplify: Simplify (cos lambda1) into (cos lambda1) * [misc]taylor: Taking taylor expansion of (sin (- lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of (- lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]taylor: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in lambda1 * [misc]taylor: Taking taylor expansion of (sin lambda1) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sin (- lambda2)) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (sin (- lambda2)) into (sin (- lambda2)) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (cos (- lambda2)) into (cos (- lambda2)) * [misc]taylor: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in lambda1 * [misc]taylor: Taking taylor expansion of (sin lambda1) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sin (- lambda2)) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (sin (- lambda2)) into (sin (- lambda2)) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (cos (- lambda2)) into (cos (- lambda2)) * [misc]backup-simplify: Simplify (* (sin (- lambda2)) 1) into (sin (- lambda2)) * [misc]backup-simplify: Simplify (* (cos (- lambda2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (- lambda2)) 0) into (sin (- lambda2)) * [misc]backup-simplify: Simplify (* 0 (sin (- lambda2))) into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- lambda2)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- lambda2)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (sin (- lambda2)))) into (sin (- lambda2)) * [misc]taylor: Taking taylor expansion of (sin (- lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of (- lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin (- lambda2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow -1 1) 1))) into (- 1) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* (- 1/6) (sin (- lambda2)))))) into (- (* 1/6 (sin (- lambda2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/6 (sin (- lambda2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/6 (sin (- lambda2))) in lambda2 * [misc]taylor: Taking taylor expansion of 1/6 in lambda2 * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (sin (- lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of (- lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (* 1/6 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* (- 1/6) 0) (* 0 (sin (- lambda2))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1 (* lambda2 lambda1)) into (* -1 (* lambda1 lambda2)) * [misc]approximate: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in (lambda1 lambda2) around 0 * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (/ 1 lambda1) into (/ 1 lambda1) * [misc]backup-simplify: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) * [misc]backup-simplify: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) * [misc]taylor: Taking taylor expansion of (sin (- (/ 1 lambda2))) in lambda2 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (sin (- (/ 1 lambda2))) into (sin (- (/ 1 lambda2))) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in lambda1 * [misc]taylor: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) * [misc]taylor: Taking taylor expansion of (sin (- (/ 1 lambda2))) in lambda1 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (/ 1 lambda2) into (/ 1 lambda2) * [misc]backup-simplify: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) * [misc]backup-simplify: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) * [misc]backup-simplify: Simplify (sin (- (/ 1 lambda2))) into (sin (- (/ 1 lambda2))) * [misc]backup-simplify: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) * [misc]backup-simplify: Simplify (cos (- (/ 1 lambda2))) into (cos (- (/ 1 lambda2))) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in lambda1 * [misc]taylor: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) * [misc]taylor: Taking taylor expansion of (sin (- (/ 1 lambda2))) in lambda1 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (/ 1 lambda2) into (/ 1 lambda2) * [misc]backup-simplify: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) * [misc]backup-simplify: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) * [misc]backup-simplify: Simplify (sin (- (/ 1 lambda2))) into (sin (- (/ 1 lambda2))) * [misc]backup-simplify: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) * [misc]backup-simplify: Simplify (cos (- (/ 1 lambda2))) into (cos (- (/ 1 lambda2))) * [misc]backup-simplify: Simplify (* (sin (- (/ 1 lambda2))) 1) into (sin (- (/ 1 lambda2))) * [misc]backup-simplify: Simplify (* (cos (- (/ 1 lambda2))) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (- (/ 1 lambda2))) 0) into (sin (- (/ 1 lambda2))) * [misc]backup-simplify: Simplify (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) into (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))) * [misc]taylor: Taking taylor expansion of (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))) in lambda2 * [misc]taylor: Taking taylor expansion of (sin (- (/ 1 lambda2))) in lambda2 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (sin (- (/ 1 lambda2))) into (sin (- (/ 1 lambda2))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (/ 1 lambda1) into (/ 1 lambda1) * [misc]backup-simplify: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) * [misc]backup-simplify: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) * [misc]backup-simplify: Simplify (* (sin (/ 1 lambda1)) 1) into (sin (/ 1 lambda1)) * [misc]backup-simplify: Simplify (* (cos (/ 1 lambda1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 lambda1)) 0) into (sin (/ 1 lambda1)) * [misc]backup-simplify: Simplify (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) * [misc]backup-simplify: Simplify (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) into (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- (/ 1 lambda2))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- (/ 1 lambda2))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 (sin (- (/ 1 lambda2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 lambda1)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- (/ 1 lambda2))) 0) (* 0 (sin (/ 1 lambda1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- (/ 1 lambda2))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- (/ 1 lambda2))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (- (/ 1 lambda2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- (/ 1 lambda2))) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- (/ 1 lambda2))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- (/ 1 lambda2))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (- (/ 1 lambda2))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (sin (- (/ 1 (/ 1 lambda2)))) (sin (/ 1 (/ 1 lambda1)))) into (* (sin (- lambda2)) (sin lambda1)) * [misc]approximate: Taking taylor expansion of (* (sin (/ 1 (- lambda1))) (sin (- (/ 1 (- lambda2))))) in (lambda1 lambda2) around 0 * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- lambda1))) (sin (- (/ 1 (- lambda2))))) in lambda2 * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- lambda1))) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda1)) in lambda2 * [misc]taylor: Taking taylor expansion of (- lambda1) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (/ 1 (- lambda1)) into (/ -1 lambda1) * [misc]backup-simplify: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) * [misc]backup-simplify: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) * [misc]taylor: Taking taylor expansion of (sin (- (/ 1 (- lambda2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- lambda2))) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of (- lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (sin (- (/ 1 (- lambda2)))) into (sin (/ 1 lambda2)) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- lambda1))) (sin (- (/ 1 (- lambda2))))) in lambda1 * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- lambda1))) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda1)) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda1) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- lambda1))) into (sin (/ -1 lambda1)) * [misc]taylor: Taking taylor expansion of (sin (- (/ 1 (- lambda2)))) in lambda1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- lambda2))) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda2)) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (/ 1 (- lambda2)) into (/ -1 lambda2) * [misc]backup-simplify: Simplify (- (/ -1 lambda2)) into (/ 1 lambda2) * [misc]backup-simplify: Simplify (- (/ -1 lambda2)) into (/ 1 lambda2) * [misc]backup-simplify: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) * [misc]backup-simplify: Simplify (- (/ -1 lambda2)) into (/ 1 lambda2) * [misc]backup-simplify: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- lambda1))) (sin (- (/ 1 (- lambda2))))) in lambda1 * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- lambda1))) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda1)) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda1) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- lambda1))) into (sin (/ -1 lambda1)) * [misc]taylor: Taking taylor expansion of (sin (- (/ 1 (- lambda2)))) in lambda1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- lambda2))) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda2)) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (/ 1 (- lambda2)) into (/ -1 lambda2) * [misc]backup-simplify: Simplify (- (/ -1 lambda2)) into (/ 1 lambda2) * [misc]backup-simplify: Simplify (- (/ -1 lambda2)) into (/ 1 lambda2) * [misc]backup-simplify: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) * [misc]backup-simplify: Simplify (- (/ -1 lambda2)) into (/ 1 lambda2) * [misc]backup-simplify: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) * [misc]backup-simplify: Simplify (* (sin (/ 1 lambda2)) 1) into (sin (/ 1 lambda2)) * [misc]backup-simplify: Simplify (* (cos (/ 1 lambda2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 lambda2)) 0) into (sin (/ 1 lambda2)) * [misc]backup-simplify: Simplify (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) * [misc]taylor: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda2 * [misc]taylor: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ -1 lambda1) in lambda2 * [misc]taylor: Taking taylor expansion of -1 in lambda2 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (/ -1 lambda1) into (/ -1 lambda1) * [misc]backup-simplify: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) * [misc]backup-simplify: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) * [misc]backup-simplify: Simplify (* (sin (/ -1 lambda1)) 1) into (sin (/ -1 lambda1)) * [misc]backup-simplify: Simplify (* (cos (/ -1 lambda1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 lambda1)) 0) into (sin (/ -1 lambda1)) * [misc]backup-simplify: Simplify (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) * [misc]backup-simplify: Simplify (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 lambda2) (/ 0 (- lambda2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 lambda2)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (sin (/ 1 lambda2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 lambda1)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (sin (/ 1 lambda2)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 lambda2) (/ 0 (- lambda2))) (* 0 (/ 0 (- lambda2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 lambda2) (/ 0 (- lambda2))) (* 0 (/ 0 (- lambda2))) (* 0 (/ 0 (- lambda2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (sin (/ -1 (/ 1 (- lambda1)))) (sin (/ 1 (/ 1 (- lambda2))))) into (* (sin (* -1 lambda2)) (sin lambda1)) * * * * [misc]progress: [ 4 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 * [misc]taylor: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R) in R * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) in R * [misc]backup-simplify: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) * [misc]taylor: Taking taylor expansion of R in R * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R) in lambda2 * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) in lambda2 * [misc]backup-simplify: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) * [misc]taylor: Taking taylor expansion of R in lambda2 * [misc]backup-simplify: Simplify R into R * [misc]taylor: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R) in lambda1 * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) in lambda1 * [misc]backup-simplify: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) * [misc]taylor: Taking taylor expansion of R in lambda1 * [misc]backup-simplify: Simplify R into R * [misc]taylor: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R) in phi2 * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) in phi2 * [misc]backup-simplify: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) * [misc]taylor: Taking taylor expansion of R in phi2 * [misc]backup-simplify: Simplify R into R * [misc]taylor: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R) in phi1 * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) in phi1 * [misc]backup-simplify: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) * [misc]taylor: Taking taylor expansion of R in phi1 * [misc]backup-simplify: Simplify R into R * [misc]taylor: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R) in phi1 * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) in phi1 * [misc]backup-simplify: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) * [misc]taylor: Taking taylor expansion of R in phi1 * [misc]backup-simplify: Simplify R into R * [misc]backup-simplify: Simplify (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) R) into (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) R) * [misc]taylor: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) R) in phi2 * [misc]taylor: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) in phi2 * [misc]backup-simplify: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) * [misc]taylor: Taking taylor expansion of R in phi2 * [misc]backup-simplify: Simplify R into R * [misc]backup-simplify: Simplify (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) R) into (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) R) * [misc]taylor: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) R) in lambda1 * [misc]taylor: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) in lambda1 * [misc]backup-simplify: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) * [misc]taylor: Taking taylor expansion of R in lambda1 * [misc]backup-simplify: Simplify R into R * [misc]backup-simplify: Simplify (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) R) into (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) R) * [misc]taylor: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) R) in lambda2 * [misc]taylor: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) in lambda2 * [misc]backup-simplify: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) * [misc]taylor: Taking taylor expansion of R in lambda2 * [misc]backup-simplify: Simplify R into R * [misc]backup-simplify: Simplify (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) R) into (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) R) * [misc]taylor: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) R) in R * [misc]taylor: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) in R * [misc]backup-simplify: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) * [misc]taylor: Taking taylor expansion of R in R * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) 0) (* 0 R)) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in R * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) 0) (* 0 R)) into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in R * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) 0) (* 0 R)) into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in R * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) 0) (* 0 R)) into 0 * [misc]taylor: Taking taylor expansion of 0 in R * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) 1) (* 0 0)) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) * [misc]backup-simplify: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) * [misc]backup-simplify: Simplify (+ (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) 0) (+ (* 0 0) (* 0 R))) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in R * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in R * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) 0) (+ (* 0 0) (* 0 R))) into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in R * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in R * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in R * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) 0) (+ (* 0 0) (* 0 R))) into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in R * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) (* R (* 1 (* 1 (* 1 1))))) into (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) R) * [misc]approximate: Taking taylor expansion of (* (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (- (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))) (/ 1 R)) in (phi1 phi2 lambda1 lambda2 R) around 0 * [misc]taylor: Taking taylor expansion of (* (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (- (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))) (/ 1 R)) in R * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (- (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))) in R * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (- (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))))))) * [misc]taylor: Taking taylor expansion of (/ 1 R) in R * [misc]taylor: Taking taylor expansion of R in R * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (- (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))) (/ 1 R)) in lambda2 * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (- (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))) in lambda2 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (- (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))))))) * [misc]taylor: Taking taylor expansion of (/ 1 R) in lambda2 * [misc]taylor: Taking taylor expansion of R in lambda2 * [misc]backup-simplify: Simplify R into R * [misc]backup-simplify: Simplify (/ 1 R) into (/ 1 R) * [misc]taylor: Taking taylor expansion of (* (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (- (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))) (/ 1 R)) in lambda1 * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (- (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))) in lambda1 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (- (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))))))) * [misc]taylor: Taking taylor expansion of (/ 1 R) in lambda1 * [misc]taylor: Taking taylor expansion of R in lambda1 * [misc]backup-simplify: Simplify R into R * [misc]backup-simplify: Simplify (/ 1 R) into (/ 1 R) * [misc]taylor: Taking taylor expansion of (* (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (- (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))) (/ 1 R)) in phi2 * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (- (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))) in phi2 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (- (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))))))) * [misc]taylor: Taking taylor expansion of (/ 1 R) in phi2 * [misc]taylor: Taking taylor expansion of R in phi2 * [misc]backup-simplify: Simplify R into R * [misc]backup-simplify: Simplify (/ 1 R) into (/ 1 R) * [misc]taylor: Taking taylor expansion of (* (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (- (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))) (/ 1 R)) in phi1 * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (- (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))) in phi1 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (- (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))))))) * [misc]taylor: Taking taylor expansion of (/ 1 R) in phi1 * [misc]taylor: Taking taylor expansion of R in phi1 * [misc]backup-simplify: Simplify R into R * [misc]backup-simplify: Simplify (/ 1 R) into (/ 1 R) * [misc]taylor: Taking taylor expansion of (* (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (- (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))) (/ 1 R)) in phi1 * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (- (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))) in phi1 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (- (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))))))) * [misc]taylor: Taking taylor expansion of (/ 1 R) in phi1 * [misc]taylor: Taking taylor expansion of R in phi1 * [misc]backup-simplify: Simplify R into R * [misc]backup-simplify: Simplify (/ 1 R) into (/ 1 R) * [misc]backup-simplify: Simplify (* (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))))))) (/ 1 R)) into (/ (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda2)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))))))) R) * [misc]taylor: Taking taylor expansion of (/ (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda2)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))))))) R) in phi2 * [misc]taylor: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda2)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))))))) in phi2 * [misc]backup-simplify: Simplify (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda2)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))))))) * [misc]taylor: Taking taylor expansion of R in phi2 * [misc]backup-simplify: Simplify R into R * [misc]backup-simplify: Simplify (/ (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))))))) R) into (/ (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda2)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))))))) R) * [misc]taylor: Taking taylor expansion of (/ (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda2)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))))))) R) in lambda1 * [misc]taylor: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda2)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))))))) in lambda1 * [misc]backup-simplify: Simplify (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda2)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))))))) * [misc]taylor: Taking taylor expansion of R in lambda1 * [misc]backup-simplify: Simplify R into R * [misc]backup-simplify: Simplify (/ (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))))))) R) into (/ (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda2)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))))))) R) * [misc]taylor: Taking taylor expansion of (/ (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda2)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))))))) R) in lambda2 * [misc]taylor: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda2)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))))))) in lambda2 * [misc]backup-simplify: Simplify (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda2)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))))))) * [misc]taylor: Taking taylor expansion of R in lambda2 * [misc]backup-simplify: Simplify R into R * [misc]backup-simplify: Simplify (/ (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))))))) R) into (/ (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda2)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))))))) R) * [misc]taylor: Taking taylor expansion of (/ (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda2)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))))))) R) in R * [misc]taylor: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda2)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))))))) in R * [misc]backup-simplify: Simplify (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda2)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))))))) * [misc]taylor: Taking taylor expansion of R in R * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))))))) 1) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda2)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))))))) * [misc]backup-simplify: Simplify (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda2)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))))))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 R) (/ 0 R)))) into 0 * [misc]backup-simplify: Simplify (+ (* (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))))))) 0) (* 0 (/ 1 R))) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in R * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda2)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))))))) R) (/ 0 R)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in R * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda2)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))))))) R) (/ 0 R)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in R * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda2)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))))))) R) (/ 0 R)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in R * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda2)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))))))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 * [misc]backup-simplify: Simplify (+ (* (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))))))) 0) (+ (* 0 0) (* 0 (/ 1 R)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in R * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in R * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda2)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in R * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in R * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in R * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda2)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in R * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in R * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in R * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in R * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda2)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in R * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda2)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (acos (- (+ (* (sin (/ 1 (/ 1 phi1))) (sin (/ 1 (/ 1 phi2)))) (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 phi1))) (cos (/ 1 (/ 1 lambda1))))))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 phi1))) (* (sin (- (/ 1 (/ 1 lambda2)))) (sin (/ 1 (/ 1 lambda1)))))))) (* (/ 1 (/ 1 R)) (* 1 (* 1 (* 1 1))))) into (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) R) * [misc]approximate: Taking taylor expansion of (* (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (- (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (- (/ 1 (- lambda2))))))))) (/ 1 (- R))) in (phi1 phi2 lambda1 lambda2 R) around 0 * [misc]taylor: Taking taylor expansion of (* (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (- (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (- (/ 1 (- lambda2))))))))) (/ 1 (- R))) in R * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (- (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (- (/ 1 (- lambda2))))))))) in R * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (- (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (- (/ 1 (- lambda2))))))))) into (acos (- (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) * [misc]taylor: Taking taylor expansion of (/ 1 (- R)) in R * [misc]taylor: Taking taylor expansion of (- R) in R * [misc]taylor: Taking taylor expansion of R in R * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (- (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (- (/ 1 (- lambda2))))))))) (/ 1 (- R))) in lambda2 * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (- (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (- (/ 1 (- lambda2))))))))) in lambda2 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (- (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (- (/ 1 (- lambda2))))))))) into (acos (- (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) * [misc]taylor: Taking taylor expansion of (/ 1 (- R)) in lambda2 * [misc]taylor: Taking taylor expansion of (- R) in lambda2 * [misc]taylor: Taking taylor expansion of R in lambda2 * [misc]backup-simplify: Simplify R into R * [misc]backup-simplify: Simplify (- R) into (- R) * [misc]backup-simplify: Simplify (- R) into (- R) * [misc]backup-simplify: Simplify (/ 1 (- R)) into (/ -1 R) * [misc]taylor: Taking taylor expansion of (* (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (- (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (- (/ 1 (- lambda2))))))))) (/ 1 (- R))) in lambda1 * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (- (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (- (/ 1 (- lambda2))))))))) in lambda1 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (- (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (- (/ 1 (- lambda2))))))))) into (acos (- (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) * [misc]taylor: Taking taylor expansion of (/ 1 (- R)) in lambda1 * [misc]taylor: Taking taylor expansion of (- R) in lambda1 * [misc]taylor: Taking taylor expansion of R in lambda1 * [misc]backup-simplify: Simplify R into R * [misc]backup-simplify: Simplify (- R) into (- R) * [misc]backup-simplify: Simplify (- R) into (- R) * [misc]backup-simplify: Simplify (/ 1 (- R)) into (/ -1 R) * [misc]taylor: Taking taylor expansion of (* (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (- (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (- (/ 1 (- lambda2))))))))) (/ 1 (- R))) in phi2 * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (- (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (- (/ 1 (- lambda2))))))))) in phi2 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (- (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (- (/ 1 (- lambda2))))))))) into (acos (- (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) * [misc]taylor: Taking taylor expansion of (/ 1 (- R)) in phi2 * [misc]taylor: Taking taylor expansion of (- R) in phi2 * [misc]taylor: Taking taylor expansion of R in phi2 * [misc]backup-simplify: Simplify R into R * [misc]backup-simplify: Simplify (- R) into (- R) * [misc]backup-simplify: Simplify (- R) into (- R) * [misc]backup-simplify: Simplify (/ 1 (- R)) into (/ -1 R) * [misc]taylor: Taking taylor expansion of (* (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (- (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (- (/ 1 (- lambda2))))))))) (/ 1 (- R))) in phi1 * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (- (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (- (/ 1 (- lambda2))))))))) in phi1 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (- (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (- (/ 1 (- lambda2))))))))) into (acos (- (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) * [misc]taylor: Taking taylor expansion of (/ 1 (- R)) in phi1 * [misc]taylor: Taking taylor expansion of (- R) in phi1 * [misc]taylor: Taking taylor expansion of R in phi1 * [misc]backup-simplify: Simplify R into R * [misc]backup-simplify: Simplify (- R) into (- R) * [misc]backup-simplify: Simplify (- R) into (- R) * [misc]backup-simplify: Simplify (/ 1 (- R)) into (/ -1 R) * [misc]taylor: Taking taylor expansion of (* (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (- (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (- (/ 1 (- lambda2))))))))) (/ 1 (- R))) in phi1 * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (- (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (- (/ 1 (- lambda2))))))))) in phi1 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (- (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (- (/ 1 (- lambda2))))))))) into (acos (- (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) * [misc]taylor: Taking taylor expansion of (/ 1 (- R)) in phi1 * [misc]taylor: Taking taylor expansion of (- R) in phi1 * [misc]taylor: Taking taylor expansion of R in phi1 * [misc]backup-simplify: Simplify R into R * [misc]backup-simplify: Simplify (- R) into (- R) * [misc]backup-simplify: Simplify (- R) into (- R) * [misc]backup-simplify: Simplify (/ 1 (- R)) into (/ -1 R) * [misc]backup-simplify: Simplify (* (acos (- (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) (/ -1 R)) into (* -1 (/ (acos (- (+ (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) R)) * [misc]taylor: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) R)) in phi2 * [misc]taylor: Taking taylor expansion of -1 in phi2 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (/ (acos (- (+ (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) R) in phi2 * [misc]taylor: Taking taylor expansion of (acos (- (+ (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) in phi2 * [misc]backup-simplify: Simplify (acos (- (+ (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) * [misc]taylor: Taking taylor expansion of R in phi2 * [misc]backup-simplify: Simplify R into R * [misc]backup-simplify: Simplify (/ (acos (- (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) R) into (/ (acos (- (+ (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) R) * [misc]backup-simplify: Simplify (* -1 (/ (acos (- (+ (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) R)) into (* -1 (/ (acos (- (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) R)) * [misc]taylor: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) R)) in lambda1 * [misc]taylor: Taking taylor expansion of -1 in lambda1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) R) in lambda1 * [misc]taylor: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) in lambda1 * [misc]backup-simplify: Simplify (acos (- (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) * [misc]taylor: Taking taylor expansion of R in lambda1 * [misc]backup-simplify: Simplify R into R * [misc]backup-simplify: Simplify (/ (acos (- (+ (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) R) into (/ (acos (- (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) R) * [misc]backup-simplify: Simplify (* -1 (/ (acos (- (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) R)) into (* -1 (/ (acos (- (+ (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) R)) * [misc]taylor: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) R)) in lambda2 * [misc]taylor: Taking taylor expansion of -1 in lambda2 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (/ (acos (- (+ (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) R) in lambda2 * [misc]taylor: Taking taylor expansion of (acos (- (+ (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) in lambda2 * [misc]backup-simplify: Simplify (acos (- (+ (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) * [misc]taylor: Taking taylor expansion of R in lambda2 * [misc]backup-simplify: Simplify R into R * [misc]backup-simplify: Simplify (/ (acos (- (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) R) into (/ (acos (- (+ (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) R) * [misc]backup-simplify: Simplify (* -1 (/ (acos (- (+ (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) R)) into (* -1 (/ (acos (- (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) R)) * [misc]taylor: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) R)) in R * [misc]taylor: Taking taylor expansion of -1 in R * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) R) in R * [misc]taylor: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) in R * [misc]backup-simplify: Simplify (acos (- (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) * [misc]taylor: Taking taylor expansion of R in R * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (acos (- (+ (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) 1) into (acos (- (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) * [misc]backup-simplify: Simplify (* -1 (acos (- (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))))))) into (* -1 (acos (- (+ (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))))))) * [misc]backup-simplify: Simplify (* -1 (acos (- (+ (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))))))) into (* -1 (acos (- (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- R) into (- R) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 R) (/ 0 (- R))))) into 0 * [misc]backup-simplify: Simplify (+ (* (acos (- (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) 0) (* 0 (/ -1 R))) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in R * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) R) (/ 0 R)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ (acos (- (+ (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) R))) into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in R * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) R) (/ 0 R)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ (acos (- (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) R))) into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in R * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) R) (/ 0 R)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ (acos (- (+ (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) R))) into 0 * [misc]taylor: Taking taylor expansion of 0 in R * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (acos (- (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (acos (- (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- R) into (- R) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- R) into (- R) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 R) (/ 0 (- R))) (* 0 (/ 0 (- R))))) into 0 * [misc]backup-simplify: Simplify (+ (* (acos (- (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) 0) (+ (* 0 0) (* 0 (/ -1 R)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in R * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in R * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (- (+ (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) R)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in R * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in R * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in R * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (- (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) R)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in R * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in R * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in R * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in R * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (- (+ (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) R)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in R * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (acos (- (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (acos (- (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* -1 (acos (- (+ (* (cos (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (cos (/ -1 (/ 1 (- lambda2))))))) (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2)))))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (sin (/ 1 (/ 1 (- lambda2)))) (* (cos (/ -1 (/ 1 (- phi1)))) (cos (/ -1 (/ 1 (- phi2)))))))))) (* (/ 1 (/ 1 (- R))) (* 1 (* 1 (* 1 1))))) into (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (sin (* -1 lambda2)) (* (cos phi2) (* (cos phi1) (sin lambda1)))))) R) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (- (cos (- phi1 phi2)) (cos (+ phi2 phi1))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (/ (- (cos (- phi1 phi2)) (cos (+ phi2 phi1))) 2) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) * * * * [misc]progress: [ 10 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin phi1) (sin phi2)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (* (sin phi2) (sin phi1)) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (pow (* (sin phi2) (sin phi1)) 1) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) * * * * [misc]progress: [ 11 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (sin phi1)) (log (sin phi2))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (+ (log (sin phi1)) (log (sin phi2))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (exp (+ (log (sin phi1)) (log (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) * * * * [misc]progress: [ 13 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (99 enodes) * [exit]simplify: Simplified to (pow (* (sin phi2) (sin phi1)) 3) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (pow (* (sin phi2) (sin phi1)) 3)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) * * * * [misc]progress: [ 16 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sin phi2)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (cbrt (sin phi2)) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (cbrt (sin phi2))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) * * * * [misc]progress: [ 21 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sin phi2)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (sin phi2)) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sin phi1) (sqrt (sin phi2))) (sqrt (sin phi2))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) * * * * [misc]progress: [ 22 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (sin phi2) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sin phi2) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sin phi1) 1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) * * * * [misc]progress: [ 23 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sin phi1)) (cbrt (sin phi1))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (* (cbrt (sin phi1)) (cbrt (sin phi1))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (cbrt (sin phi1)) (cbrt (sin phi1))) (* (cbrt (sin phi1)) (sin phi2))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) * * * * [misc]progress: [ 24 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sin phi1)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (sin phi1)) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sqrt (sin phi1)) (* (sqrt (sin phi1)) (sin phi2))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) * * * * [misc]progress: [ 25 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (- (cos (- lambda1 (- lambda2))) (cos (+ lambda1 (- lambda2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (- (cos (+ lambda2 lambda1)) (cos (- lambda1 lambda2))) * [misc]simplify: Simplified (2 1 1 2 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (/ (- (cos (+ lambda2 lambda1)) (cos (- lambda1 lambda2))) 2))))) R)) * * * * [misc]progress: [ 28 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin lambda1) (sin (- lambda2))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * [exit]simplify: Simplified to (- (* (sin lambda2) (sin lambda1))) * [misc]simplify: Simplified (2 1 1 2 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (pow (- (* (sin lambda2) (sin lambda1))) 1))))) R)) * * * * [misc]progress: [ 29 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (sin lambda1)) (log (sin (- lambda2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (+ (log (sin lambda1)) (log (sin (- lambda2)))) * [misc]simplify: Simplified (2 1 1 2 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (exp (+ (log (sin lambda1)) (log (sin (- lambda2))))))))) R)) * * * * [misc]progress: [ 31 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (sin lambda1) (sin lambda1)) (sin lambda1)) (* (* (sin (- lambda2)) (sin (- lambda2))) (sin (- lambda2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (168 enodes) * * [misc]simplify: iters left: 2 (443 enodes) * [exit]simplify: Simplified to (* (* (- (sin lambda1)) (* (sin lambda1) (sin lambda2))) (* (sin lambda2) (* (sin lambda1) (sin lambda2)))) * [misc]simplify: Simplified (2 1 1 2 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (* (* (- (sin lambda1)) (* (sin lambda1) (sin lambda2))) (* (sin lambda2) (* (sin lambda1) (sin lambda2))))))))) R)) * * * * [misc]progress: [ 34 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sin (- lambda2))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (- (sin lambda2))) * [misc]simplify: Simplified (2 1 1 2 2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (* (sin lambda1) (* (cbrt (sin (- lambda2))) (cbrt (sin (- lambda2))))) (cbrt (- (sin lambda2)))))))) R)) * * * * [misc]progress: [ 40 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sin (- lambda2))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (- (sin lambda2))) * [misc]simplify: Simplified (2 1 1 2 2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (* (sin lambda1) (sqrt (sin (- lambda2)))) (sqrt (- (sin lambda2)))))))) R)) * * * * [misc]progress: [ 41 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (sin (- lambda2)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (- (sin lambda2)) * [misc]simplify: Simplified (2 1 1 2 2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (* (sin lambda1) 1) (- (sin lambda2))))))) R)) * * * * [misc]progress: [ 42 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sin lambda1)) (cbrt (sin lambda1))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (* (cbrt (sin lambda1)) (cbrt (sin lambda1))) * [misc]simplify: Simplified (2 1 1 2 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (* (cbrt (sin lambda1)) (cbrt (sin lambda1))) (* (cbrt (sin lambda1)) (sin (- lambda2)))))))) R)) * * * * [misc]progress: [ 43 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sin lambda1)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (sin lambda1)) * [misc]simplify: Simplified (2 1 1 2 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sqrt (sin lambda1)) (* (sqrt (sin lambda1)) (sin (- lambda2)))))))) R)) * * * * [misc]progress: [ 44 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (164 enodes) * * [misc]simplify: iters left: 2 (298 enodes) * [exit]simplify: Simplified to (* (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (* (cos phi2) (cos phi1)))))) (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (* (cos phi2) (cos phi1))))))) * [misc]simplify: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (* (cos phi2) (cos phi1)))))) (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (* (cos phi2) (cos phi1))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) R))) * * * * [misc]progress: [ 54 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (163 enodes) * * [misc]simplify: iters left: 2 (299 enodes) * [exit]simplify: Simplified to (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1)))))) * [misc]simplify: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1)))))) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) R))) * * * * [misc]progress: [ 55 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (252 enodes) * * [misc]simplify: iters left: 2 (462 enodes) * [exit]simplify: Simplified to (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi1) (cos phi2))))) * [misc]simplify: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi1) (cos phi2))))) R)) * * * * [misc]progress: [ 58 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (252 enodes) * * [misc]simplify: iters left: 2 (462 enodes) * [exit]simplify: Simplified to (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi1) (cos phi2))))) * [misc]simplify: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi1) (cos phi2))))) R)) * * * * [misc]progress: [ 59 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (sin (* -1 lambda2)) (* (cos phi2) (* (cos phi1) (sin lambda1)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (241 enodes) * * [misc]simplify: iters left: 2 (396 enodes) * [exit]simplify: Simplified to (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (* (cos phi1) (cos phi2))))) * [misc]simplify: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (* (cos phi1) (cos phi2))))) R)) * * * * [misc]progress: [ 60 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (* phi1 phi2) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* phi2 phi1) * [misc]simplify: Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* phi2 phi1) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) * * * * [misc]progress: [ 61 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin phi1) (sin phi2)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (* (sin phi2) (sin phi1)) * [misc]simplify: Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) * * * * [misc]progress: [ 62 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin phi1) (sin phi2)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (* (sin phi2) (sin phi1)) * [misc]simplify: Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) * * * * [misc]progress: [ 63 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (* -1 (* lambda1 lambda2)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (* lambda2 (- lambda1)) * [misc]simplify: Simplified (2 1 1 2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* lambda2 (- lambda1)))))) R)) * * * * [misc]progress: [ 64 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin (- lambda2)) (sin lambda1)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * [exit]simplify: Simplified to (- (* (sin lambda1) (sin lambda2))) * [misc]simplify: Simplified (2 1 1 2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (- (* (sin lambda1) (sin lambda2))))))) R)) * * * * [misc]progress: [ 65 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin (* -1 lambda2)) (sin lambda1)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (19 enodes) * [exit]simplify: Simplified to (* (sin (- lambda2)) (sin lambda1)) * [misc]simplify: Simplified (2 1 1 2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin (- lambda2)) (sin lambda1)))))) R)) * * * * [misc]progress: [ 66 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) R) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (110 enodes) * * [misc]simplify: iters left: 3 (256 enodes) * * [misc]simplify: iters left: 2 (455 enodes) * [exit]simplify: Simplified to (* R (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1))))) * [misc]simplify: Simplified (2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1)))))) * * * * [misc]progress: [ 67 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) R) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (110 enodes) * * [misc]simplify: iters left: 3 (256 enodes) * * [misc]simplify: iters left: 2 (455 enodes) * [exit]simplify: Simplified to (* R (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1))))) * [misc]simplify: Simplified (2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1)))))) * * * * [misc]progress: [ 68 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (sin (* -1 lambda2)) (* (cos phi2) (* (cos phi1) (sin lambda1)))))) R) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (245 enodes) * * [misc]simplify: iters left: 2 (402 enodes) * [exit]simplify: Simplified to (* (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) R) * [misc]simplify: Simplified (2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) R)) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 1 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1 1 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 1 1) * [misc]approximate: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) in (phi1 phi2 lambda1 lambda2) around 0 * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) in lambda2 * [misc]backup-simplify: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) in lambda1 * [misc]backup-simplify: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) in phi2 * [misc]backup-simplify: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) in phi1 * [misc]backup-simplify: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) in phi1 * [misc]backup-simplify: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) * [misc]taylor: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) in phi2 * [misc]backup-simplify: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) * [misc]taylor: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) in lambda1 * [misc]backup-simplify: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) * [misc]taylor: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) in lambda2 * [misc]backup-simplify: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) * [misc]backup-simplify: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) * [misc]approximate: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (- (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))) in (phi1 phi2 lambda1 lambda2) around 0 * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (- (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))) in lambda2 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (- (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))))))) * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (- (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))) in lambda1 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (- (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))))))) * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (- (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))) in phi2 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (- (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))))))) * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (- (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))) in phi1 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (- (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))))))) * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (- (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))) in phi1 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (- (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))))))) * [misc]taylor: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))))))) in phi2 * [misc]backup-simplify: Simplify (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda2)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))))))) * [misc]taylor: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda2)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))))))) in lambda1 * [misc]backup-simplify: Simplify (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda2)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))))))) * [misc]taylor: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))))))) in lambda2 * [misc]backup-simplify: Simplify (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda2)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))))))) * [misc]backup-simplify: Simplify (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda2)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))))))) * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (acos (- (+ (* (sin (/ 1 (/ 1 phi1))) (sin (/ 1 (/ 1 phi2)))) (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 phi1))) (cos (/ 1 (/ 1 lambda1))))))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 phi1))) (* (sin (- (/ 1 (/ 1 lambda2)))) (sin (/ 1 (/ 1 lambda1)))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) * [misc]approximate: Taking taylor expansion of (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (- (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (- (/ 1 (- lambda2))))))))) in (phi1 phi2 lambda1 lambda2) around 0 * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (- (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (- (/ 1 (- lambda2))))))))) in lambda2 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (- (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (- (/ 1 (- lambda2))))))))) into (acos (- (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (- (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (- (/ 1 (- lambda2))))))))) in lambda1 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (- (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (- (/ 1 (- lambda2))))))))) into (acos (- (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (- (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (- (/ 1 (- lambda2))))))))) in phi2 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (- (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (- (/ 1 (- lambda2))))))))) into (acos (- (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (- (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (- (/ 1 (- lambda2))))))))) in phi1 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (- (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (- (/ 1 (- lambda2))))))))) into (acos (- (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (- (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (- (/ 1 (- lambda2))))))))) in phi1 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (- (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (- (/ 1 (- lambda2))))))))) into (acos (- (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) * [misc]taylor: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) in phi2 * [misc]backup-simplify: Simplify (acos (- (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) * [misc]taylor: Taking taylor expansion of (acos (- (+ (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) in lambda1 * [misc]backup-simplify: Simplify (acos (- (+ (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) * [misc]taylor: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) in lambda2 * [misc]backup-simplify: Simplify (acos (- (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) * [misc]backup-simplify: Simplify (acos (- (+ (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (acos (- (+ (* (cos (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (cos (/ -1 (/ 1 (- lambda2))))))) (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2)))))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (sin (/ 1 (/ 1 (- lambda2)))) (* (cos (/ -1 (/ 1 (- phi1)))) (cos (/ -1 (/ 1 (- phi2))))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (sin (* -1 lambda2)) (* (cos phi2) (* (cos phi1) (sin lambda1)))))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) in (phi1 phi2 lambda1 lambda2) around 0 * [misc]taylor: Taking taylor expansion of (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) in lambda2 * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) in lambda2 * [misc]backup-simplify: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) * [misc]backup-simplify: Simplify (exp (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1))))))) into (exp (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1))))))) * [misc]backup-simplify: Simplify (log (exp (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) * [misc]taylor: Taking taylor expansion of (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) in lambda1 * [misc]taylor: Taking taylor expansion of (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) in lambda1 * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) in lambda1 * [misc]backup-simplify: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) * [misc]backup-simplify: Simplify (exp (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1))))))) into (exp (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1))))))) * [misc]backup-simplify: Simplify (log (exp (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) * [misc]taylor: Taking taylor expansion of (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) in phi2 * [misc]taylor: Taking taylor expansion of (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) in phi2 * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) in phi2 * [misc]backup-simplify: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) * [misc]backup-simplify: Simplify (exp (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1))))))) into (exp (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1))))))) * [misc]backup-simplify: Simplify (log (exp (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) * [misc]taylor: Taking taylor expansion of (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) in phi1 * [misc]taylor: Taking taylor expansion of (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) in phi1 * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) in phi1 * [misc]backup-simplify: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) * [misc]backup-simplify: Simplify (exp (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1))))))) into (exp (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1))))))) * [misc]backup-simplify: Simplify (log (exp (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) * [misc]taylor: Taking taylor expansion of (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) in phi1 * [misc]taylor: Taking taylor expansion of (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) in phi1 * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) in phi1 * [misc]backup-simplify: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) * [misc]backup-simplify: Simplify (exp (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1))))))) into (exp (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1))))))) * [misc]backup-simplify: Simplify (log (exp (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) * [misc]taylor: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) in phi2 * [misc]backup-simplify: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) * [misc]taylor: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) in lambda1 * [misc]backup-simplify: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) * [misc]taylor: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) in lambda2 * [misc]backup-simplify: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) * [misc]backup-simplify: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) * [misc]backup-simplify: Simplify (* (exp (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1))))))) 1)))) 1) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1))))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1))))))) 1)))) 2) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) * [misc]approximate: Taking taylor expansion of (log (exp (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (- (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))))) in (phi1 phi2 lambda1 lambda2) around 0 * [misc]taylor: Taking taylor expansion of (log (exp (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (- (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))))) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (- (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2))))))))) in lambda2 * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (- (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))) in lambda2 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (- (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))))))) * [misc]backup-simplify: Simplify (exp (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1)))))))) into (exp (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda2)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1)))))))) * [misc]backup-simplify: Simplify (log (exp (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda2)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))))))) * [misc]taylor: Taking taylor expansion of (log (exp (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (- (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))))) in lambda1 * [misc]taylor: Taking taylor expansion of (exp (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (- (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2))))))))) in lambda1 * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (- (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))) in lambda1 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (- (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))))))) * [misc]backup-simplify: Simplify (exp (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1)))))))) into (exp (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda2)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1)))))))) * [misc]backup-simplify: Simplify (log (exp (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda2)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))))))) * [misc]taylor: Taking taylor expansion of (log (exp (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (- (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))))) in phi2 * [misc]taylor: Taking taylor expansion of (exp (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (- (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2))))))))) in phi2 * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (- (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))) in phi2 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (- (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))))))) * [misc]backup-simplify: Simplify (exp (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1)))))))) into (exp (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda2)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1)))))))) * [misc]backup-simplify: Simplify (log (exp (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda2)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))))))) * [misc]taylor: Taking taylor expansion of (log (exp (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (- (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))))) in phi1 * [misc]taylor: Taking taylor expansion of (exp (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (- (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2))))))))) in phi1 * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (- (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))) in phi1 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (- (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))))))) * [misc]backup-simplify: Simplify (exp (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1)))))))) into (exp (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda2)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1)))))))) * [misc]backup-simplify: Simplify (log (exp (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda2)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))))))) * [misc]taylor: Taking taylor expansion of (log (exp (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (- (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))))) in phi1 * [misc]taylor: Taking taylor expansion of (exp (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (- (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2))))))))) in phi1 * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (- (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))) in phi1 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (- (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))))))) * [misc]backup-simplify: Simplify (exp (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1)))))))) into (exp (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda2)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1)))))))) * [misc]backup-simplify: Simplify (log (exp (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda2)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))))))) * [misc]taylor: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))))))) in phi2 * [misc]backup-simplify: Simplify (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda2)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))))))) * [misc]taylor: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda2)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))))))) in lambda1 * [misc]backup-simplify: Simplify (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda2)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))))))) * [misc]taylor: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))))))) in lambda2 * [misc]backup-simplify: Simplify (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda2)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))))))) * [misc]backup-simplify: Simplify (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda2)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))))))) * [misc]backup-simplify: Simplify (* (exp (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1)))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda2)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1)))))))) 1)))) 1) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1)))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda2)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1)))))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda2)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1)))))))) 1)))) 2) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (acos (- (+ (* (sin (/ 1 (/ 1 phi1))) (sin (/ 1 (/ 1 phi2)))) (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 phi1))) (cos (/ 1 (/ 1 lambda1))))))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 phi1))) (* (sin (- (/ 1 (/ 1 lambda2)))) (sin (/ 1 (/ 1 lambda1)))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) * [misc]approximate: Taking taylor expansion of (log (exp (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (- (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (- (/ 1 (- lambda2))))))))))) in (phi1 phi2 lambda1 lambda2) around 0 * [misc]taylor: Taking taylor expansion of (log (exp (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (- (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (- (/ 1 (- lambda2))))))))))) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (- (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (- (/ 1 (- lambda2)))))))))) in lambda2 * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (- (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (- (/ 1 (- lambda2))))))))) in lambda2 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (- (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (- (/ 1 (- lambda2))))))))) into (acos (- (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) * [misc]backup-simplify: Simplify (exp (acos (- (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))))))) into (exp (acos (- (+ (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))))))) * [misc]backup-simplify: Simplify (log (exp (acos (- (+ (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))))) into (acos (- (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) * [misc]taylor: Taking taylor expansion of (log (exp (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (- (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (- (/ 1 (- lambda2))))))))))) in lambda1 * [misc]taylor: Taking taylor expansion of (exp (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (- (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (- (/ 1 (- lambda2)))))))))) in lambda1 * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (- (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (- (/ 1 (- lambda2))))))))) in lambda1 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (- (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (- (/ 1 (- lambda2))))))))) into (acos (- (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) * [misc]backup-simplify: Simplify (exp (acos (- (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))))))) into (exp (acos (- (+ (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))))))) * [misc]backup-simplify: Simplify (log (exp (acos (- (+ (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))))) into (acos (- (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) * [misc]taylor: Taking taylor expansion of (log (exp (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (- (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (- (/ 1 (- lambda2))))))))))) in phi2 * [misc]taylor: Taking taylor expansion of (exp (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (- (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (- (/ 1 (- lambda2)))))))))) in phi2 * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (- (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (- (/ 1 (- lambda2))))))))) in phi2 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (- (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (- (/ 1 (- lambda2))))))))) into (acos (- (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) * [misc]backup-simplify: Simplify (exp (acos (- (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))))))) into (exp (acos (- (+ (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))))))) * [misc]backup-simplify: Simplify (log (exp (acos (- (+ (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))))) into (acos (- (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) * [misc]taylor: Taking taylor expansion of (log (exp (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (- (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (- (/ 1 (- lambda2))))))))))) in phi1 * [misc]taylor: Taking taylor expansion of (exp (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (- (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (- (/ 1 (- lambda2)))))))))) in phi1 * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (- (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (- (/ 1 (- lambda2))))))))) in phi1 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (- (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (- (/ 1 (- lambda2))))))))) into (acos (- (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) * [misc]backup-simplify: Simplify (exp (acos (- (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))))))) into (exp (acos (- (+ (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))))))) * [misc]backup-simplify: Simplify (log (exp (acos (- (+ (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))))) into (acos (- (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) * [misc]taylor: Taking taylor expansion of (log (exp (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (- (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (- (/ 1 (- lambda2))))))))))) in phi1 * [misc]taylor: Taking taylor expansion of (exp (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (- (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (- (/ 1 (- lambda2)))))))))) in phi1 * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (- (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (- (/ 1 (- lambda2))))))))) in phi1 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (- (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (- (/ 1 (- lambda2))))))))) into (acos (- (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) * [misc]backup-simplify: Simplify (exp (acos (- (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))))))) into (exp (acos (- (+ (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))))))) * [misc]backup-simplify: Simplify (log (exp (acos (- (+ (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))))) into (acos (- (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) * [misc]taylor: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) in phi2 * [misc]backup-simplify: Simplify (acos (- (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) * [misc]taylor: Taking taylor expansion of (acos (- (+ (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) in lambda1 * [misc]backup-simplify: Simplify (acos (- (+ (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) * [misc]taylor: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) in lambda2 * [misc]backup-simplify: Simplify (acos (- (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) * [misc]backup-simplify: Simplify (acos (- (+ (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) * [misc]backup-simplify: Simplify (* (exp (acos (- (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (acos (- (+ (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))))))) 1)))) 1) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (acos (- (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (acos (- (+ (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (acos (- (+ (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))))))) 1)))) 2) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (acos (- (+ (* (cos (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (cos (/ -1 (/ 1 (- lambda2))))))) (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2)))))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (sin (/ 1 (/ 1 (- lambda2)))) (* (cos (/ -1 (/ 1 (- phi1)))) (cos (/ -1 (/ 1 (- phi2))))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (sin (* -1 lambda2)) (* (cos phi2) (* (cos phi1) (sin lambda1)))))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) in (phi1 phi2 lambda1 lambda2) around 0 * [misc]taylor: Taking taylor expansion of (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) in lambda2 * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) in lambda2 * [misc]backup-simplify: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) * [misc]backup-simplify: Simplify (exp (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1))))))) into (exp (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1))))))) * [misc]taylor: Taking taylor expansion of (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) in lambda1 * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) in lambda1 * [misc]backup-simplify: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) * [misc]backup-simplify: Simplify (exp (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1))))))) into (exp (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1))))))) * [misc]taylor: Taking taylor expansion of (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) in phi2 * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) in phi2 * [misc]backup-simplify: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) * [misc]backup-simplify: Simplify (exp (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1))))))) into (exp (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1))))))) * [misc]taylor: Taking taylor expansion of (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) in phi1 * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) in phi1 * [misc]backup-simplify: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) * [misc]backup-simplify: Simplify (exp (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1))))))) into (exp (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1))))))) * [misc]taylor: Taking taylor expansion of (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) in phi1 * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) in phi1 * [misc]backup-simplify: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) * [misc]backup-simplify: Simplify (exp (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1))))))) into (exp (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1))))))) * [misc]taylor: Taking taylor expansion of (exp (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1))))))) in phi2 * [misc]taylor: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) in phi2 * [misc]backup-simplify: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) * [misc]backup-simplify: Simplify (exp (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1))))))) into (exp (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1))))))) * [misc]taylor: Taking taylor expansion of (exp (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1))))))) in lambda1 * [misc]taylor: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) in lambda1 * [misc]backup-simplify: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) * [misc]backup-simplify: Simplify (exp (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1))))))) into (exp (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1))))))) * [misc]taylor: Taking taylor expansion of (exp (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1))))))) in lambda2 * [misc]taylor: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) in lambda2 * [misc]backup-simplify: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) * [misc]backup-simplify: Simplify (exp (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1))))))) into (exp (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1))))))) * [misc]backup-simplify: Simplify (exp (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1))))))) into (exp (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1))))))) * [misc]backup-simplify: Simplify (* (exp (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1))))))) into (exp (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1))))))) * [misc]approximate: Taking taylor expansion of (exp (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (- (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2))))))))) in (phi1 phi2 lambda1 lambda2) around 0 * [misc]taylor: Taking taylor expansion of (exp (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (- (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2))))))))) in lambda2 * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (- (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))) in lambda2 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (- (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))))))) * [misc]backup-simplify: Simplify (exp (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1)))))))) into (exp (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda2)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1)))))))) * [misc]taylor: Taking taylor expansion of (exp (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (- (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2))))))))) in lambda1 * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (- (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))) in lambda1 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (- (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))))))) * [misc]backup-simplify: Simplify (exp (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1)))))))) into (exp (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda2)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1)))))))) * [misc]taylor: Taking taylor expansion of (exp (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (- (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2))))))))) in phi2 * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (- (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))) in phi2 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (- (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))))))) * [misc]backup-simplify: Simplify (exp (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1)))))))) into (exp (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda2)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1)))))))) * [misc]taylor: Taking taylor expansion of (exp (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (- (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2))))))))) in phi1 * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (- (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))) in phi1 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (- (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))))))) * [misc]backup-simplify: Simplify (exp (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1)))))))) into (exp (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda2)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1)))))))) * [misc]taylor: Taking taylor expansion of (exp (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (- (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2))))))))) in phi1 * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (- (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))) in phi1 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (- (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))))))) * [misc]backup-simplify: Simplify (exp (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1)))))))) into (exp (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda2)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1)))))))) * [misc]taylor: Taking taylor expansion of (exp (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda2)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1)))))))) in phi2 * [misc]taylor: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda2)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))))))) in phi2 * [misc]backup-simplify: Simplify (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda2)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))))))) * [misc]backup-simplify: Simplify (exp (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1)))))))) into (exp (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda2)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1)))))))) * [misc]taylor: Taking taylor expansion of (exp (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda2)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1)))))))) in lambda1 * [misc]taylor: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda2)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))))))) in lambda1 * [misc]backup-simplify: Simplify (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda2)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))))))) * [misc]backup-simplify: Simplify (exp (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1)))))))) into (exp (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda2)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1)))))))) * [misc]taylor: Taking taylor expansion of (exp (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda2)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1)))))))) in lambda2 * [misc]taylor: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda2)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))))))) in lambda2 * [misc]backup-simplify: Simplify (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda2)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))))))) * [misc]backup-simplify: Simplify (exp (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1)))))))) into (exp (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda2)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1)))))))) * [misc]backup-simplify: Simplify (exp (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda2)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1)))))))) into (exp (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1)))))))) * [misc]backup-simplify: Simplify (* (exp (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1)))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1)))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1)))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1)))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1)))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (acos (- (+ (* (sin (/ 1 (/ 1 phi1))) (sin (/ 1 (/ 1 phi2)))) (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 phi1))) (cos (/ 1 (/ 1 lambda1))))))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 phi1))) (* (sin (- (/ 1 (/ 1 lambda2)))) (sin (/ 1 (/ 1 lambda1))))))))) into (exp (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1))))))) * [misc]approximate: Taking taylor expansion of (exp (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (- (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (- (/ 1 (- lambda2)))))))))) in (phi1 phi2 lambda1 lambda2) around 0 * [misc]taylor: Taking taylor expansion of (exp (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (- (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (- (/ 1 (- lambda2)))))))))) in lambda2 * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (- (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (- (/ 1 (- lambda2))))))))) in lambda2 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (- (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (- (/ 1 (- lambda2))))))))) into (acos (- (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) * [misc]backup-simplify: Simplify (exp (acos (- (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))))))) into (exp (acos (- (+ (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))))))) * [misc]taylor: Taking taylor expansion of (exp (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (- (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (- (/ 1 (- lambda2)))))))))) in lambda1 * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (- (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (- (/ 1 (- lambda2))))))))) in lambda1 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (- (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (- (/ 1 (- lambda2))))))))) into (acos (- (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) * [misc]backup-simplify: Simplify (exp (acos (- (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))))))) into (exp (acos (- (+ (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))))))) * [misc]taylor: Taking taylor expansion of (exp (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (- (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (- (/ 1 (- lambda2)))))))))) in phi2 * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (- (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (- (/ 1 (- lambda2))))))))) in phi2 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (- (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (- (/ 1 (- lambda2))))))))) into (acos (- (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) * [misc]backup-simplify: Simplify (exp (acos (- (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))))))) into (exp (acos (- (+ (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))))))) * [misc]taylor: Taking taylor expansion of (exp (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (- (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (- (/ 1 (- lambda2)))))))))) in phi1 * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (- (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (- (/ 1 (- lambda2))))))))) in phi1 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (- (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (- (/ 1 (- lambda2))))))))) into (acos (- (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) * [misc]backup-simplify: Simplify (exp (acos (- (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))))))) into (exp (acos (- (+ (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))))))) * [misc]taylor: Taking taylor expansion of (exp (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (- (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (- (/ 1 (- lambda2)))))))))) in phi1 * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (- (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (- (/ 1 (- lambda2))))))))) in phi1 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (- (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (- (/ 1 (- lambda2))))))))) into (acos (- (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) * [misc]backup-simplify: Simplify (exp (acos (- (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))))))) into (exp (acos (- (+ (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))))))) * [misc]taylor: Taking taylor expansion of (exp (acos (- (+ (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))))))) in phi2 * [misc]taylor: Taking taylor expansion of (acos (- (+ (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) in phi2 * [misc]backup-simplify: Simplify (acos (- (+ (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) * [misc]backup-simplify: Simplify (exp (acos (- (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))))))) into (exp (acos (- (+ (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))))))) * [misc]taylor: Taking taylor expansion of (exp (acos (- (+ (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))))))) in lambda1 * [misc]taylor: Taking taylor expansion of (acos (- (+ (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) in lambda1 * [misc]backup-simplify: Simplify (acos (- (+ (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) * [misc]backup-simplify: Simplify (exp (acos (- (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))))))) into (exp (acos (- (+ (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))))))) * [misc]taylor: Taking taylor expansion of (exp (acos (- (+ (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))))))) in lambda2 * [misc]taylor: Taking taylor expansion of (acos (- (+ (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) in lambda2 * [misc]backup-simplify: Simplify (acos (- (+ (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) * [misc]backup-simplify: Simplify (exp (acos (- (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))))))) into (exp (acos (- (+ (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))))))) * [misc]backup-simplify: Simplify (exp (acos (- (+ (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))))))) into (exp (acos (- (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))))))) * [misc]backup-simplify: Simplify (* (exp (acos (- (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (acos (- (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (acos (- (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (acos (- (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (acos (- (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (acos (- (+ (* (cos (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (cos (/ -1 (/ 1 (- lambda2))))))) (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2)))))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (sin (/ 1 (/ 1 (- lambda2)))) (* (cos (/ -1 (/ 1 (- phi1)))) (cos (/ -1 (/ 1 (- phi2)))))))))) into (exp (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (sin (* -1 lambda2)) (* (cos phi2) (* (cos phi1) (sin lambda1))))))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1 1 1 1) * [misc]approximate: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 * [misc]taylor: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 * [misc]taylor: Taking taylor expansion of (sin phi1) in phi2 * [misc]taylor: Taking taylor expansion of phi1 in phi2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (sin phi1) into (sin phi1) * [misc]backup-simplify: Simplify (cos phi1) into (cos phi1) * [misc]taylor: Taking taylor expansion of (sin phi2) in phi2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 * [misc]taylor: Taking taylor expansion of (sin phi1) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sin phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (sin phi2) into (sin phi2) * [misc]backup-simplify: Simplify (cos phi2) into (cos phi2) * [misc]taylor: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 * [misc]taylor: Taking taylor expansion of (sin phi1) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sin phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (sin phi2) into (sin phi2) * [misc]backup-simplify: Simplify (cos phi2) into (cos phi2) * [misc]backup-simplify: Simplify (* (sin phi2) 1) into (sin phi2) * [misc]backup-simplify: Simplify (* (cos phi2) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin phi2) 0) into (sin phi2) * [misc]backup-simplify: Simplify (* 0 (sin phi2)) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin phi2) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos phi2) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (sin phi2))) into (sin phi2) * [misc]taylor: Taking taylor expansion of (sin phi2) in phi2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin phi2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* (- 1/6) (sin phi2))))) into (- (* 1/6 (sin phi2))) * [misc]taylor: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2 * [misc]taylor: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 * [misc]taylor: Taking taylor expansion of 1/6 in phi2 * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (sin phi2) in phi2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/6 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* (- 1/6) 0) (* 0 (sin phi2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* phi2 phi1)) into (* phi1 phi2) * [misc]approximate: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0 * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 * [misc]taylor: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi2 * [misc]taylor: Taking taylor expansion of phi1 in phi2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]backup-simplify: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) * [misc]backup-simplify: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 * [misc]taylor: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]backup-simplify: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) * [misc]backup-simplify: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 * [misc]taylor: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]backup-simplify: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) * [misc]backup-simplify: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) * [misc]backup-simplify: Simplify (* (sin (/ 1 phi2)) 1) into (sin (/ 1 phi2)) * [misc]backup-simplify: Simplify (* (cos (/ 1 phi2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 phi2)) 0) into (sin (/ 1 phi2)) * [misc]backup-simplify: Simplify (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) into (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 * [misc]taylor: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi2 * [misc]taylor: Taking taylor expansion of phi1 in phi2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]backup-simplify: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) * [misc]backup-simplify: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) * [misc]backup-simplify: Simplify (* (sin (/ 1 phi1)) 1) into (sin (/ 1 phi1)) * [misc]backup-simplify: Simplify (* (cos (/ 1 phi1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 phi1)) 0) into (sin (/ 1 phi1)) * [misc]backup-simplify: Simplify (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) into (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) * [misc]backup-simplify: Simplify (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) into (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 (sin (/ 1 phi2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 phi1)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 (sin (/ 1 phi2)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 phi2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (sin (/ 1 (/ 1 phi1))) (sin (/ 1 (/ 1 phi2)))) into (* (sin phi1) (sin phi2)) * [misc]approximate: Taking taylor expansion of (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) in (phi1 phi2) around 0 * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) in phi2 * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- phi1))) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi1)) in phi2 * [misc]taylor: Taking taylor expansion of (- phi1) in phi2 * [misc]taylor: Taking taylor expansion of phi1 in phi2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (/ 1 (- phi1)) into (/ -1 phi1) * [misc]backup-simplify: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) * [misc]backup-simplify: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- phi2))) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi2)) in phi2 * [misc]taylor: Taking taylor expansion of (- phi2) in phi2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- phi2))) into (sin (/ -1 phi2)) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) in phi1 * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- phi1))) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi1)) in phi1 * [misc]taylor: Taking taylor expansion of (- phi1) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- phi1))) into (sin (/ -1 phi1)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- phi2))) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi2)) in phi1 * [misc]taylor: Taking taylor expansion of (- phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (/ 1 (- phi2)) into (/ -1 phi2) * [misc]backup-simplify: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) * [misc]backup-simplify: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) in phi1 * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- phi1))) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi1)) in phi1 * [misc]taylor: Taking taylor expansion of (- phi1) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- phi1))) into (sin (/ -1 phi1)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- phi2))) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi2)) in phi1 * [misc]taylor: Taking taylor expansion of (- phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (/ 1 (- phi2)) into (/ -1 phi2) * [misc]backup-simplify: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) * [misc]backup-simplify: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) * [misc]backup-simplify: Simplify (* (sin (/ -1 phi2)) 1) into (sin (/ -1 phi2)) * [misc]backup-simplify: Simplify (* (cos (/ -1 phi2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 phi2)) 0) into (sin (/ -1 phi2)) * [misc]backup-simplify: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) * [misc]taylor: Taking taylor expansion of (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) in phi2 * [misc]taylor: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 * [misc]taylor: Taking taylor expansion of (/ -1 phi2) in phi2 * [misc]taylor: Taking taylor expansion of -1 in phi2 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) * [misc]taylor: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 * [misc]taylor: Taking taylor expansion of (/ -1 phi1) in phi2 * [misc]taylor: Taking taylor expansion of -1 in phi2 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of phi1 in phi2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ -1 phi1) into (/ -1 phi1) * [misc]backup-simplify: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) * [misc]backup-simplify: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) * [misc]backup-simplify: Simplify (* (sin (/ -1 phi1)) 1) into (sin (/ -1 phi1)) * [misc]backup-simplify: Simplify (* (cos (/ -1 phi1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 phi1)) 0) into (sin (/ -1 phi1)) * [misc]backup-simplify: Simplify (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) * [misc]backup-simplify: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 phi2)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi2) (/ 0 (- phi2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 phi2)) 0) (* 0 (sin (/ -1 phi1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi2) (/ 0 (- phi2))) (* 0 (/ 0 (- phi2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi2) (/ 0 (- phi2))) (* 0 (/ 0 (- phi2))) (* 0 (/ 0 (- phi2))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (sin (/ -1 (/ 1 (- phi2)))) (sin (/ -1 (/ 1 (- phi1))))) into (* (sin phi1) (sin phi2)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (168 enodes) * * [misc]simplify: iters left: 2 (313 enodes) * [exit]simplify: Simplified to (log (* (cbrt (exp (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))))) (cbrt (exp (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (+ (log (* (cbrt (exp (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))))) (cbrt (exp (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))))))) (log (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))))) R)) * * * * [misc]progress: [ 10 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (165 enodes) * * [misc]simplify: iters left: 2 (300 enodes) * [exit]simplify: Simplified to (log (sqrt (exp (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (+ (log (sqrt (exp (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1)))))))) (log (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))))) R)) * * * * [misc]progress: [ 11 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (log 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (log 1) * [misc]simplify: Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (+ (log 1) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))))) R)) * * * * [misc]progress: [ 12 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (log (exp (/ PI 2))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ PI 2) * [misc]simplify: Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (log (exp (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))))) R)) * * * * [misc]progress: [ 13 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (163 enodes) * * [misc]simplify: iters left: 2 (299 enodes) * [exit]simplify: Simplified to (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1)))))) * [misc]simplify: Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1)))))) (log (exp (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))))))) R)) * * * * [misc]progress: [ 15 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (163 enodes) * * [misc]simplify: iters left: 2 (299 enodes) * [exit]simplify: Simplified to (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1)))))) * [misc]simplify: Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1)))))) (log (exp (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))))) R)) * * * * [misc]progress: [ 16 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (161 enodes) * * [misc]simplify: iters left: 2 (301 enodes) * [exit]simplify: Simplified to (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))) * [misc]simplify: Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))) (log (exp 1))) R)) * * * * [misc]progress: [ 17 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (164 enodes) * * [misc]simplify: iters left: 2 (312 enodes) * [exit]simplify: Simplified to (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (* (cos phi2) (cos phi1)))) * [misc]simplify: Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (* (cos phi2) (cos phi1))))) R)) * * * * [misc]progress: [ 19 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (167 enodes) * * [misc]simplify: iters left: 2 (300 enodes) * [exit]simplify: Simplified to (exp (* (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1)))))) (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1)))))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (log (pow (exp (* (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1)))))) (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))))) R)) * * * * [misc]progress: [ 27 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (164 enodes) * * [misc]simplify: iters left: 2 (298 enodes) * [exit]simplify: Simplified to (exp (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (* (cos phi2) (cos phi1))))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (log (pow (exp (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (* (cos phi2) (cos phi1))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))))) R)) * * * * [misc]progress: [ 28 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (exp 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to E * [misc]simplify: Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (log (pow E (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) R)) * * * * [misc]progress: [ 29 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ PI 2)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (sqrt (exp PI)) * [misc]simplify: Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (log (/ (sqrt (exp PI)) (exp (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))))) R)) * * * * [misc]progress: [ 30 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (161 enodes) * * [misc]simplify: iters left: 2 (301 enodes) * [exit]simplify: Simplified to (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))))) R)) * * * * [misc]progress: [ 31 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (- (cos (- phi1 phi2)) (cos (+ phi2 phi1))) * [misc]simplify: Simplified (2 1 1 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (acos (+ (/ (- (cos (- phi1 phi2)) (cos (+ phi2 phi1))) 2) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) R)) * * * * [misc]progress: [ 38 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin phi1) (sin phi2)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (* (sin phi2) (sin phi1)) * [misc]simplify: Simplified (2 1 1 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (acos (+ (pow (* (sin phi2) (sin phi1)) 1) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) R)) * * * * [misc]progress: [ 39 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (sin phi1)) (log (sin phi2))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (+ (log (sin phi1)) (log (sin phi2))) * [misc]simplify: Simplified (2 1 1 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (acos (+ (exp (+ (log (sin phi1)) (log (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) R)) * * * * [misc]progress: [ 41 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (99 enodes) * [exit]simplify: Simplified to (pow (* (sin phi2) (sin phi1)) 3) * [misc]simplify: Simplified (2 1 1 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (acos (+ (cbrt (pow (* (sin phi2) (sin phi1)) 3)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) R)) * * * * [misc]progress: [ 44 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sin phi2)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (cbrt (sin phi2)) * [misc]simplify: Simplified (2 1 1 1 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (acos (+ (* (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (cbrt (sin phi2))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) R)) * * * * [misc]progress: [ 49 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sin phi2)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (sin phi2)) * [misc]simplify: Simplified (2 1 1 1 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (acos (+ (* (* (sin phi1) (sqrt (sin phi2))) (sqrt (sin phi2))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) R)) * * * * [misc]progress: [ 50 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (sin phi2) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sin phi2) * [misc]simplify: Simplified (2 1 1 1 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (acos (+ (* (* (sin phi1) 1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) R)) * * * * [misc]progress: [ 51 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sin phi1)) (cbrt (sin phi1))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (* (cbrt (sin phi1)) (cbrt (sin phi1))) * [misc]simplify: Simplified (2 1 1 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (acos (+ (* (* (cbrt (sin phi1)) (cbrt (sin phi1))) (* (cbrt (sin phi1)) (sin phi2))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) R)) * * * * [misc]progress: [ 52 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sin phi1)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (sin phi1)) * [misc]simplify: Simplified (2 1 1 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (acos (+ (* (sqrt (sin phi1)) (* (sqrt (sin phi1)) (sin phi2))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) R)) * * * * [misc]progress: [ 53 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (252 enodes) * * [misc]simplify: iters left: 2 (462 enodes) * [exit]simplify: Simplified to (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi1) (cos phi2))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi1) (cos phi2))))))) R)) * * * * [misc]progress: [ 56 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (252 enodes) * * [misc]simplify: iters left: 2 (462 enodes) * [exit]simplify: Simplified to (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi1) (cos phi2))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi1) (cos phi2))))))) R)) * * * * [misc]progress: [ 57 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (sin (* -1 lambda2)) (* (cos phi2) (* (cos phi1) (sin lambda1)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (241 enodes) * * [misc]simplify: iters left: 2 (396 enodes) * [exit]simplify: Simplified to (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (* (cos phi1) (cos phi2))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (* (cos phi1) (cos phi2))))))) R)) * * * * [misc]progress: [ 58 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (252 enodes) * * [misc]simplify: iters left: 2 (462 enodes) * [exit]simplify: Simplified to (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi1) (cos phi2))))) * [misc]simplify: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi1) (cos phi2))))) R)) * * * * [misc]progress: [ 59 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (252 enodes) * * [misc]simplify: iters left: 2 (462 enodes) * [exit]simplify: Simplified to (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi1) (cos phi2))))) * [misc]simplify: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi1) (cos phi2))))) R)) * * * * [misc]progress: [ 60 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (sin (* -1 lambda2)) (* (cos phi2) (* (cos phi1) (sin lambda1)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (241 enodes) * * [misc]simplify: iters left: 2 (396 enodes) * [exit]simplify: Simplified to (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (* (cos phi1) (cos phi2))))) * [misc]simplify: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (* (cos phi1) (cos phi2))))) R)) * * * * [misc]progress: [ 61 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * * [misc]simplify: iters left: 3 (256 enodes) * * [misc]simplify: iters left: 2 (450 enodes) * [exit]simplify: Simplified to (exp (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))))))) * [misc]simplify: Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))))))) R)) * * * * [misc]progress: [ 62 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * * [misc]simplify: iters left: 3 (256 enodes) * * [misc]simplify: iters left: 2 (450 enodes) * [exit]simplify: Simplified to (exp (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))))))) * [misc]simplify: Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))))))) R)) * * * * [misc]progress: [ 63 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (sin (* -1 lambda2)) (* (cos phi2) (* (cos phi1) (sin lambda1))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (105 enodes) * * [misc]simplify: iters left: 3 (241 enodes) * * [misc]simplify: iters left: 2 (403 enodes) * [exit]simplify: Simplified to (exp (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))))))) * [misc]simplify: Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))))))) R)) * * * * [misc]progress: [ 64 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* phi1 phi2) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* phi2 phi1) * [misc]simplify: Simplified (2 1 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (acos (+ (* phi2 phi1) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) R)) * * * * [misc]progress: [ 65 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin phi1) (sin phi2)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (* (sin phi2) (sin phi1)) * [misc]simplify: Simplified (2 1 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) R)) * * * * [misc]progress: [ 66 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin phi1) (sin phi2)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (* (sin phi2) (sin phi1)) * [misc]simplify: Simplified (2 1 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) R)) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 4 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 1 2 2 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1 2 2 2 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 1 2 2 2) * [misc]approximate: Taking taylor expansion of (log (exp (* (sin lambda1) (sin (- lambda2))))) in (lambda1 lambda2) around 0 * [misc]taylor: Taking taylor expansion of (log (exp (* (sin lambda1) (sin (- lambda2))))) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* (sin lambda1) (sin (- lambda2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in lambda2 * [misc]taylor: Taking taylor expansion of (sin lambda1) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (sin lambda1) into (sin lambda1) * [misc]backup-simplify: Simplify (cos lambda1) into (cos lambda1) * [misc]taylor: Taking taylor expansion of (sin (- lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of (- lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (* (sin lambda1) 1) into (sin lambda1) * [misc]backup-simplify: Simplify (* (cos lambda1) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin lambda1) 0) into (sin lambda1) * [misc]backup-simplify: Simplify (* (sin lambda1) 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow -1 1) 1))) into (- 1) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin lambda1) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos lambda1) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin lambda1) (- 1)) (* 0 0)) into (- (sin lambda1)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (exp (* (sin lambda1) (sin (- lambda2))))) in lambda1 * [misc]taylor: Taking taylor expansion of (exp (* (sin lambda1) (sin (- lambda2)))) in lambda1 * [misc]taylor: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in lambda1 * [misc]taylor: Taking taylor expansion of (sin lambda1) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sin (- lambda2)) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (sin (- lambda2)) into (sin (- lambda2)) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (cos (- lambda2)) into (cos (- lambda2)) * [misc]backup-simplify: Simplify (* (sin (- lambda2)) 1) into (sin (- lambda2)) * [misc]backup-simplify: Simplify (* (cos (- lambda2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (- lambda2)) 0) into (sin (- lambda2)) * [misc]backup-simplify: Simplify (* 0 (sin (- lambda2))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- lambda2)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- lambda2)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (sin (- lambda2)))) into (sin (- lambda2)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (exp (* (sin lambda1) (sin (- lambda2))))) in lambda1 * [misc]taylor: Taking taylor expansion of (exp (* (sin lambda1) (sin (- lambda2)))) in lambda1 * [misc]taylor: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in lambda1 * [misc]taylor: Taking taylor expansion of (sin lambda1) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sin (- lambda2)) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (sin (- lambda2)) into (sin (- lambda2)) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (cos (- lambda2)) into (cos (- lambda2)) * [misc]backup-simplify: Simplify (* (sin (- lambda2)) 1) into (sin (- lambda2)) * [misc]backup-simplify: Simplify (* (cos (- lambda2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (- lambda2)) 0) into (sin (- lambda2)) * [misc]backup-simplify: Simplify (* 0 (sin (- lambda2))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- lambda2)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- lambda2)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (sin (- lambda2)))) into (sin (- lambda2)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (sin (- lambda2)) 1) 1)))) into (sin (- lambda2)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (sin (- lambda2))) 1)) (pow 1 1)))) 1) into (sin (- lambda2)) * [misc]taylor: Taking taylor expansion of (sin (- lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of (- lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin (- lambda2))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (sin (- lambda2)) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/2 (pow (sin (- lambda2)) 2)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (sin (- lambda2))) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/2 (pow (sin (- lambda2)) 2))) 1)) (pow 1 1)))) 2) into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow -1 1) 1))) into (- 1) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* (- 1/6) (sin (- lambda2)))))) into (- (* 1/6 (sin (- lambda2)))) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (sin (- lambda2)) 3) 6)) (* (/ (pow (sin (- lambda2)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/6 (sin (- lambda2)))) 1) 1)))) into (- (* 1/6 (pow (sin (- lambda2)) 3)) (* 1/6 (sin (- lambda2)))) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (sin (- lambda2))) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (sin (- lambda2))) 1) (pow (* 2 (* 1/2 (pow (sin (- lambda2)) 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 (- (* 1/6 (pow (sin (- lambda2)) 3)) (* 1/6 (sin (- lambda2))))) 1)) (pow 1 1)))) 6) into (* -1/6 (sin (- lambda2))) * [misc]taylor: Taking taylor expansion of (* -1/6 (sin (- lambda2))) in lambda2 * [misc]taylor: Taking taylor expansion of -1/6 in lambda2 * [misc]backup-simplify: Simplify -1/6 into -1/6 * [misc]taylor: Taking taylor expansion of (sin (- lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of (- lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (* -1/6 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* (- 1/6) 0) (* 0 (sin (- lambda2))))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (sin (- lambda2)) 4) 24)) (* (/ (pow (sin (- lambda2)) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (sin (- lambda2)) 1) 1) (/ (pow (- (* 1/6 (sin (- lambda2)))) 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (- (* 1/24 (pow (sin (- lambda2)) 4)) (* 1/6 (pow (sin (- lambda2)) 2))) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 (sin (- lambda2))) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 (sin (- lambda2))) 2) (pow (* 2 (* 1/2 (pow (sin (- lambda2)) 2))) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 (* 1/2 (pow (sin (- lambda2)) 2))) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 (sin (- lambda2))) 1) 1 (pow (* 6 (- (* 1/6 (pow (sin (- lambda2)) 3)) (* 1/6 (sin (- lambda2))))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (- (* 1/24 (pow (sin (- lambda2)) 4)) (* 1/6 (pow (sin (- lambda2)) 2)))) 1)) (pow 1 1)))) 24) into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1 (* lambda2 lambda1)) into (* -1 (* lambda1 lambda2)) * [misc]approximate: Taking taylor expansion of (log (exp (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))) in (lambda1 lambda2) around 0 * [misc]taylor: Taking taylor expansion of (log (exp (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (/ 1 lambda1) into (/ 1 lambda1) * [misc]backup-simplify: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) * [misc]backup-simplify: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) * [misc]taylor: Taking taylor expansion of (sin (- (/ 1 lambda2))) in lambda2 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (sin (- (/ 1 lambda2))) into (sin (- (/ 1 lambda2))) * [misc]backup-simplify: Simplify (* (sin (/ 1 lambda1)) 1) into (sin (/ 1 lambda1)) * [misc]backup-simplify: Simplify (* (cos (/ 1 lambda1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 lambda1)) 0) into (sin (/ 1 lambda1)) * [misc]backup-simplify: Simplify (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) into (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))) * [misc]backup-simplify: Simplify (exp (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1)))) into (exp (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2))))) * [misc]backup-simplify: Simplify (log (exp (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))) into (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))) * [misc]taylor: Taking taylor expansion of (log (exp (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))) in lambda1 * [misc]taylor: Taking taylor expansion of (exp (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2))))) in lambda1 * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in lambda1 * [misc]taylor: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) * [misc]taylor: Taking taylor expansion of (sin (- (/ 1 lambda2))) in lambda1 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (/ 1 lambda2) into (/ 1 lambda2) * [misc]backup-simplify: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) * [misc]backup-simplify: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) * [misc]backup-simplify: Simplify (sin (- (/ 1 lambda2))) into (sin (- (/ 1 lambda2))) * [misc]backup-simplify: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) * [misc]backup-simplify: Simplify (cos (- (/ 1 lambda2))) into (cos (- (/ 1 lambda2))) * [misc]backup-simplify: Simplify (* (sin (- (/ 1 lambda2))) 1) into (sin (- (/ 1 lambda2))) * [misc]backup-simplify: Simplify (* (cos (- (/ 1 lambda2))) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (- (/ 1 lambda2))) 0) into (sin (- (/ 1 lambda2))) * [misc]backup-simplify: Simplify (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) into (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))) * [misc]backup-simplify: Simplify (exp (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1)))) into (exp (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2))))) * [misc]backup-simplify: Simplify (log (exp (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))) into (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))) * [misc]taylor: Taking taylor expansion of (log (exp (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))) in lambda1 * [misc]taylor: Taking taylor expansion of (exp (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2))))) in lambda1 * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in lambda1 * [misc]taylor: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) * [misc]taylor: Taking taylor expansion of (sin (- (/ 1 lambda2))) in lambda1 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (/ 1 lambda2) into (/ 1 lambda2) * [misc]backup-simplify: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) * [misc]backup-simplify: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) * [misc]backup-simplify: Simplify (sin (- (/ 1 lambda2))) into (sin (- (/ 1 lambda2))) * [misc]backup-simplify: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) * [misc]backup-simplify: Simplify (cos (- (/ 1 lambda2))) into (cos (- (/ 1 lambda2))) * [misc]backup-simplify: Simplify (* (sin (- (/ 1 lambda2))) 1) into (sin (- (/ 1 lambda2))) * [misc]backup-simplify: Simplify (* (cos (- (/ 1 lambda2))) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (- (/ 1 lambda2))) 0) into (sin (- (/ 1 lambda2))) * [misc]backup-simplify: Simplify (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) into (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))) * [misc]backup-simplify: Simplify (exp (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1)))) into (exp (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2))))) * [misc]backup-simplify: Simplify (log (exp (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))) into (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))) * [misc]taylor: Taking taylor expansion of (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))) in lambda2 * [misc]taylor: Taking taylor expansion of (sin (- (/ 1 lambda2))) in lambda2 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (sin (- (/ 1 lambda2))) into (sin (- (/ 1 lambda2))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (/ 1 lambda1) into (/ 1 lambda1) * [misc]backup-simplify: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) * [misc]backup-simplify: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) * [misc]backup-simplify: Simplify (* (sin (/ 1 lambda1)) 1) into (sin (/ 1 lambda1)) * [misc]backup-simplify: Simplify (* (cos (/ 1 lambda1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 lambda1)) 0) into (sin (/ 1 lambda1)) * [misc]backup-simplify: Simplify (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) * [misc]backup-simplify: Simplify (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) into (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- (/ 1 lambda2))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- (/ 1 lambda2))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 (sin (- (/ 1 lambda2))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2))))) 1)))) 1) into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 lambda1)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- (/ 1 lambda2))) 0) (* 0 (sin (/ 1 lambda1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- (/ 1 lambda2))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- (/ 1 lambda2))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (- (/ 1 lambda2)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2))))) 1)))) 2) into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- (/ 1 lambda2))) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- (/ 1 lambda2))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- (/ 1 lambda2))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (- (/ 1 lambda2))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2))))) 1)))) 6) into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (sin (- (/ 1 (/ 1 lambda2)))) (sin (/ 1 (/ 1 lambda1)))) into (* (sin (- lambda2)) (sin lambda1)) * [misc]approximate: Taking taylor expansion of (log (exp (* (sin (/ 1 (- lambda1))) (sin (- (/ 1 (- lambda2))))))) in (lambda1 lambda2) around 0 * [misc]taylor: Taking taylor expansion of (log (exp (* (sin (/ 1 (- lambda1))) (sin (- (/ 1 (- lambda2))))))) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* (sin (/ 1 (- lambda1))) (sin (- (/ 1 (- lambda2)))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- lambda1))) (sin (- (/ 1 (- lambda2))))) in lambda2 * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- lambda1))) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda1)) in lambda2 * [misc]taylor: Taking taylor expansion of (- lambda1) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (/ 1 (- lambda1)) into (/ -1 lambda1) * [misc]backup-simplify: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) * [misc]backup-simplify: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) * [misc]taylor: Taking taylor expansion of (sin (- (/ 1 (- lambda2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- lambda2))) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of (- lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (sin (- (/ 1 (- lambda2)))) into (sin (/ 1 lambda2)) * [misc]backup-simplify: Simplify (* (sin (/ -1 lambda1)) 1) into (sin (/ -1 lambda1)) * [misc]backup-simplify: Simplify (* (cos (/ -1 lambda1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 lambda1)) 0) into (sin (/ -1 lambda1)) * [misc]backup-simplify: Simplify (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) * [misc]backup-simplify: Simplify (exp (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2)))) into (exp (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2)))) * [misc]backup-simplify: Simplify (log (exp (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))))) into (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) * [misc]taylor: Taking taylor expansion of (log (exp (* (sin (/ 1 (- lambda1))) (sin (- (/ 1 (- lambda2))))))) in lambda1 * [misc]taylor: Taking taylor expansion of (exp (* (sin (/ 1 (- lambda1))) (sin (- (/ 1 (- lambda2)))))) in lambda1 * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- lambda1))) (sin (- (/ 1 (- lambda2))))) in lambda1 * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- lambda1))) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda1)) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda1) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- lambda1))) into (sin (/ -1 lambda1)) * [misc]taylor: Taking taylor expansion of (sin (- (/ 1 (- lambda2)))) in lambda1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- lambda2))) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda2)) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (/ 1 (- lambda2)) into (/ -1 lambda2) * [misc]backup-simplify: Simplify (- (/ -1 lambda2)) into (/ 1 lambda2) * [misc]backup-simplify: Simplify (- (/ -1 lambda2)) into (/ 1 lambda2) * [misc]backup-simplify: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) * [misc]backup-simplify: Simplify (- (/ -1 lambda2)) into (/ 1 lambda2) * [misc]backup-simplify: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) * [misc]backup-simplify: Simplify (* (sin (/ 1 lambda2)) 1) into (sin (/ 1 lambda2)) * [misc]backup-simplify: Simplify (* (cos (/ 1 lambda2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 lambda2)) 0) into (sin (/ 1 lambda2)) * [misc]backup-simplify: Simplify (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) * [misc]backup-simplify: Simplify (exp (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2)))) into (exp (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2)))) * [misc]backup-simplify: Simplify (log (exp (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))))) into (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) * [misc]taylor: Taking taylor expansion of (log (exp (* (sin (/ 1 (- lambda1))) (sin (- (/ 1 (- lambda2))))))) in lambda1 * [misc]taylor: Taking taylor expansion of (exp (* (sin (/ 1 (- lambda1))) (sin (- (/ 1 (- lambda2)))))) in lambda1 * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- lambda1))) (sin (- (/ 1 (- lambda2))))) in lambda1 * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- lambda1))) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda1)) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda1) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- lambda1))) into (sin (/ -1 lambda1)) * [misc]taylor: Taking taylor expansion of (sin (- (/ 1 (- lambda2)))) in lambda1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- lambda2))) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda2)) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (/ 1 (- lambda2)) into (/ -1 lambda2) * [misc]backup-simplify: Simplify (- (/ -1 lambda2)) into (/ 1 lambda2) * [misc]backup-simplify: Simplify (- (/ -1 lambda2)) into (/ 1 lambda2) * [misc]backup-simplify: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) * [misc]backup-simplify: Simplify (- (/ -1 lambda2)) into (/ 1 lambda2) * [misc]backup-simplify: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) * [misc]backup-simplify: Simplify (* (sin (/ 1 lambda2)) 1) into (sin (/ 1 lambda2)) * [misc]backup-simplify: Simplify (* (cos (/ 1 lambda2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 lambda2)) 0) into (sin (/ 1 lambda2)) * [misc]backup-simplify: Simplify (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) * [misc]backup-simplify: Simplify (exp (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2)))) into (exp (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2)))) * [misc]backup-simplify: Simplify (log (exp (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))))) into (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) * [misc]taylor: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda2 * [misc]taylor: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ -1 lambda1) in lambda2 * [misc]taylor: Taking taylor expansion of -1 in lambda2 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (/ -1 lambda1) into (/ -1 lambda1) * [misc]backup-simplify: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) * [misc]backup-simplify: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) * [misc]backup-simplify: Simplify (* (sin (/ -1 lambda1)) 1) into (sin (/ -1 lambda1)) * [misc]backup-simplify: Simplify (* (cos (/ -1 lambda1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 lambda1)) 0) into (sin (/ -1 lambda1)) * [misc]backup-simplify: Simplify (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) * [misc]backup-simplify: Simplify (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 lambda2) (/ 0 (- lambda2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 lambda2)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (sin (/ 1 lambda2)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2)))) 1)))) 1) into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 lambda1)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (sin (/ 1 lambda2)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 lambda2) (/ 0 (- lambda2))) (* 0 (/ 0 (- lambda2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda2))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2)))) 1)))) 2) into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 lambda2) (/ 0 (- lambda2))) (* 0 (/ 0 (- lambda2))) (* 0 (/ 0 (- lambda2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda2)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2)))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2)))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2)))) 1)))) 6) into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (sin (/ -1 (/ 1 (- lambda1)))) (sin (/ 1 (/ 1 (- lambda2))))) into (* (sin (* -1 lambda2)) (sin lambda1)) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin (- lambda2))))))))) in (phi1 phi2 lambda1 lambda2) around 0 * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin (- lambda2))))))))) in lambda2 * [misc]backup-simplify: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin (- lambda2))))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin (- lambda2))))))))) in lambda1 * [misc]backup-simplify: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin (- lambda2))))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin (- lambda2))))))))) in phi2 * [misc]backup-simplify: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin (- lambda2))))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin (- lambda2))))))))) in phi1 * [misc]backup-simplify: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin (- lambda2))))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin (- lambda2))))))))) in phi1 * [misc]backup-simplify: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin (- lambda2))))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) * [misc]taylor: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) in phi2 * [misc]backup-simplify: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) * [misc]taylor: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) in lambda1 * [misc]backup-simplify: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) * [misc]taylor: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) in lambda2 * [misc]backup-simplify: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) * [misc]backup-simplify: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) * [misc]approximate: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (- (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (log (exp (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))))) in (phi1 phi2 lambda1 lambda2) around 0 * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (- (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (log (exp (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))))) in lambda2 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (- (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (log (exp (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))))))) * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (- (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (log (exp (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))))) in lambda1 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (- (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (log (exp (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))))))) * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (- (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (log (exp (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))))) in phi2 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (- (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (log (exp (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))))))) * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (- (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (log (exp (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))))) in phi1 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (- (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (log (exp (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))))))) * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (- (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (log (exp (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))))) in phi1 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (- (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (log (exp (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))))))) * [misc]taylor: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))))))) in phi2 * [misc]backup-simplify: Simplify (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda2)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))))))) * [misc]taylor: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda2)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))))))) in lambda1 * [misc]backup-simplify: Simplify (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda2)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))))))) * [misc]taylor: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))))))) in lambda2 * [misc]backup-simplify: Simplify (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda2)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))))))) * [misc]backup-simplify: Simplify (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda2)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))))))) * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (acos (- (+ (* (sin (/ 1 (/ 1 phi1))) (sin (/ 1 (/ 1 phi2)))) (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 phi1))) (cos (/ 1 (/ 1 lambda1))))))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 phi1))) (* (sin (- (/ 1 (/ 1 lambda2)))) (sin (/ 1 (/ 1 lambda1)))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) * [misc]approximate: Taking taylor expansion of (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (- (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (log (exp (* (sin (/ 1 (- lambda1))) (sin (- (/ 1 (- lambda2))))))))))) in (phi1 phi2 lambda1 lambda2) around 0 * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (- (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (log (exp (* (sin (/ 1 (- lambda1))) (sin (- (/ 1 (- lambda2))))))))))) in lambda2 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (- (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (log (exp (* (sin (/ 1 (- lambda1))) (sin (- (/ 1 (- lambda2))))))))))) into (acos (- (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (- (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (log (exp (* (sin (/ 1 (- lambda1))) (sin (- (/ 1 (- lambda2))))))))))) in lambda1 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (- (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (log (exp (* (sin (/ 1 (- lambda1))) (sin (- (/ 1 (- lambda2))))))))))) into (acos (- (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (- (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (log (exp (* (sin (/ 1 (- lambda1))) (sin (- (/ 1 (- lambda2))))))))))) in phi2 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (- (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (log (exp (* (sin (/ 1 (- lambda1))) (sin (- (/ 1 (- lambda2))))))))))) into (acos (- (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (- (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (log (exp (* (sin (/ 1 (- lambda1))) (sin (- (/ 1 (- lambda2))))))))))) in phi1 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (- (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (log (exp (* (sin (/ 1 (- lambda1))) (sin (- (/ 1 (- lambda2))))))))))) into (acos (- (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (- (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (log (exp (* (sin (/ 1 (- lambda1))) (sin (- (/ 1 (- lambda2))))))))))) in phi1 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (- (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (log (exp (* (sin (/ 1 (- lambda1))) (sin (- (/ 1 (- lambda2))))))))))) into (acos (- (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) * [misc]taylor: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) in phi2 * [misc]backup-simplify: Simplify (acos (- (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) * [misc]taylor: Taking taylor expansion of (acos (- (+ (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) in lambda1 * [misc]backup-simplify: Simplify (acos (- (+ (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) * [misc]taylor: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) in lambda2 * [misc]backup-simplify: Simplify (acos (- (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) * [misc]backup-simplify: Simplify (acos (- (+ (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))))) * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (acos (- (+ (* (cos (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (cos (/ -1 (/ 1 (- lambda2))))))) (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2)))))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (sin (/ 1 (/ 1 (- lambda2)))) (* (cos (/ -1 (/ 1 (- phi1)))) (cos (/ -1 (/ 1 (- phi2))))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (sin (* -1 lambda2)) (* (cos phi2) (* (cos phi1) (sin lambda1)))))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1 1) * [misc]approximate: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 * [misc]taylor: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 * [misc]taylor: Taking taylor expansion of (sin phi1) in phi2 * [misc]taylor: Taking taylor expansion of phi1 in phi2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (sin phi1) into (sin phi1) * [misc]backup-simplify: Simplify (cos phi1) into (cos phi1) * [misc]taylor: Taking taylor expansion of (sin phi2) in phi2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 * [misc]taylor: Taking taylor expansion of (sin phi1) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sin phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (sin phi2) into (sin phi2) * [misc]backup-simplify: Simplify (cos phi2) into (cos phi2) * [misc]taylor: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 * [misc]taylor: Taking taylor expansion of (sin phi1) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sin phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (sin phi2) into (sin phi2) * [misc]backup-simplify: Simplify (cos phi2) into (cos phi2) * [misc]backup-simplify: Simplify (* (sin phi2) 1) into (sin phi2) * [misc]backup-simplify: Simplify (* (cos phi2) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin phi2) 0) into (sin phi2) * [misc]backup-simplify: Simplify (* 0 (sin phi2)) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin phi2) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos phi2) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (sin phi2))) into (sin phi2) * [misc]taylor: Taking taylor expansion of (sin phi2) in phi2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin phi2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* (- 1/6) (sin phi2))))) into (- (* 1/6 (sin phi2))) * [misc]taylor: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2 * [misc]taylor: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 * [misc]taylor: Taking taylor expansion of 1/6 in phi2 * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (sin phi2) in phi2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/6 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* (- 1/6) 0) (* 0 (sin phi2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* phi2 phi1)) into (* phi1 phi2) * [misc]approximate: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0 * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 * [misc]taylor: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi2 * [misc]taylor: Taking taylor expansion of phi1 in phi2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]backup-simplify: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) * [misc]backup-simplify: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 * [misc]taylor: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]backup-simplify: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) * [misc]backup-simplify: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 * [misc]taylor: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]backup-simplify: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) * [misc]backup-simplify: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) * [misc]backup-simplify: Simplify (* (sin (/ 1 phi2)) 1) into (sin (/ 1 phi2)) * [misc]backup-simplify: Simplify (* (cos (/ 1 phi2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 phi2)) 0) into (sin (/ 1 phi2)) * [misc]backup-simplify: Simplify (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) into (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 * [misc]taylor: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi2 * [misc]taylor: Taking taylor expansion of phi1 in phi2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]backup-simplify: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) * [misc]backup-simplify: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) * [misc]backup-simplify: Simplify (* (sin (/ 1 phi1)) 1) into (sin (/ 1 phi1)) * [misc]backup-simplify: Simplify (* (cos (/ 1 phi1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 phi1)) 0) into (sin (/ 1 phi1)) * [misc]backup-simplify: Simplify (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) into (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) * [misc]backup-simplify: Simplify (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) into (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 (sin (/ 1 phi2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 phi1)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 (sin (/ 1 phi2)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 phi2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (sin (/ 1 (/ 1 phi1))) (sin (/ 1 (/ 1 phi2)))) into (* (sin phi1) (sin phi2)) * [misc]approximate: Taking taylor expansion of (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) in (phi1 phi2) around 0 * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) in phi2 * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- phi1))) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi1)) in phi2 * [misc]taylor: Taking taylor expansion of (- phi1) in phi2 * [misc]taylor: Taking taylor expansion of phi1 in phi2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (/ 1 (- phi1)) into (/ -1 phi1) * [misc]backup-simplify: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) * [misc]backup-simplify: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- phi2))) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi2)) in phi2 * [misc]taylor: Taking taylor expansion of (- phi2) in phi2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- phi2))) into (sin (/ -1 phi2)) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) in phi1 * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- phi1))) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi1)) in phi1 * [misc]taylor: Taking taylor expansion of (- phi1) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- phi1))) into (sin (/ -1 phi1)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- phi2))) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi2)) in phi1 * [misc]taylor: Taking taylor expansion of (- phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (/ 1 (- phi2)) into (/ -1 phi2) * [misc]backup-simplify: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) * [misc]backup-simplify: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) in phi1 * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- phi1))) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi1)) in phi1 * [misc]taylor: Taking taylor expansion of (- phi1) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- phi1))) into (sin (/ -1 phi1)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- phi2))) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi2)) in phi1 * [misc]taylor: Taking taylor expansion of (- phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (/ 1 (- phi2)) into (/ -1 phi2) * [misc]backup-simplify: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) * [misc]backup-simplify: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) * [misc]backup-simplify: Simplify (* (sin (/ -1 phi2)) 1) into (sin (/ -1 phi2)) * [misc]backup-simplify: Simplify (* (cos (/ -1 phi2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 phi2)) 0) into (sin (/ -1 phi2)) * [misc]backup-simplify: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) * [misc]taylor: Taking taylor expansion of (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) in phi2 * [misc]taylor: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 * [misc]taylor: Taking taylor expansion of (/ -1 phi2) in phi2 * [misc]taylor: Taking taylor expansion of -1 in phi2 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) * [misc]taylor: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 * [misc]taylor: Taking taylor expansion of (/ -1 phi1) in phi2 * [misc]taylor: Taking taylor expansion of -1 in phi2 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of phi1 in phi2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ -1 phi1) into (/ -1 phi1) * [misc]backup-simplify: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) * [misc]backup-simplify: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) * [misc]backup-simplify: Simplify (* (sin (/ -1 phi1)) 1) into (sin (/ -1 phi1)) * [misc]backup-simplify: Simplify (* (cos (/ -1 phi1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 phi1)) 0) into (sin (/ -1 phi1)) * [misc]backup-simplify: Simplify (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) * [misc]backup-simplify: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 phi2)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi2) (/ 0 (- phi2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 phi2)) 0) (* 0 (sin (/ -1 phi1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi2) (/ 0 (- phi2))) (* 0 (/ 0 (- phi2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi2) (/ 0 (- phi2))) (* 0 (/ 0 (- phi2))) (* 0 (/ 0 (- phi2))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (sin (/ -1 (/ 1 (- phi2)))) (sin (/ -1 (/ 1 (- phi1))))) into (* (sin phi1) (sin phi2)) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1 2 2 2 1 1) * [misc]approximate: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in (lambda1 lambda2) around 0 * [misc]taylor: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in lambda2 * [misc]taylor: Taking taylor expansion of (sin lambda1) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (sin lambda1) into (sin lambda1) * [misc]backup-simplify: Simplify (cos lambda1) into (cos lambda1) * [misc]taylor: Taking taylor expansion of (sin (- lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of (- lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]taylor: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in lambda1 * [misc]taylor: Taking taylor expansion of (sin lambda1) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sin (- lambda2)) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (sin (- lambda2)) into (sin (- lambda2)) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (cos (- lambda2)) into (cos (- lambda2)) * [misc]taylor: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in lambda1 * [misc]taylor: Taking taylor expansion of (sin lambda1) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sin (- lambda2)) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (sin (- lambda2)) into (sin (- lambda2)) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (cos (- lambda2)) into (cos (- lambda2)) * [misc]backup-simplify: Simplify (* (sin (- lambda2)) 1) into (sin (- lambda2)) * [misc]backup-simplify: Simplify (* (cos (- lambda2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (- lambda2)) 0) into (sin (- lambda2)) * [misc]backup-simplify: Simplify (* 0 (sin (- lambda2))) into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- lambda2)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- lambda2)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (sin (- lambda2)))) into (sin (- lambda2)) * [misc]taylor: Taking taylor expansion of (sin (- lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of (- lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin (- lambda2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow -1 1) 1))) into (- 1) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* (- 1/6) (sin (- lambda2)))))) into (- (* 1/6 (sin (- lambda2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/6 (sin (- lambda2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/6 (sin (- lambda2))) in lambda2 * [misc]taylor: Taking taylor expansion of 1/6 in lambda2 * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (sin (- lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of (- lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (* 1/6 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* (- 1/6) 0) (* 0 (sin (- lambda2))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1 (* lambda2 lambda1)) into (* -1 (* lambda1 lambda2)) * [misc]approximate: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in (lambda1 lambda2) around 0 * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (/ 1 lambda1) into (/ 1 lambda1) * [misc]backup-simplify: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) * [misc]backup-simplify: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) * [misc]taylor: Taking taylor expansion of (sin (- (/ 1 lambda2))) in lambda2 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (sin (- (/ 1 lambda2))) into (sin (- (/ 1 lambda2))) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in lambda1 * [misc]taylor: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) * [misc]taylor: Taking taylor expansion of (sin (- (/ 1 lambda2))) in lambda1 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (/ 1 lambda2) into (/ 1 lambda2) * [misc]backup-simplify: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) * [misc]backup-simplify: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) * [misc]backup-simplify: Simplify (sin (- (/ 1 lambda2))) into (sin (- (/ 1 lambda2))) * [misc]backup-simplify: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) * [misc]backup-simplify: Simplify (cos (- (/ 1 lambda2))) into (cos (- (/ 1 lambda2))) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in lambda1 * [misc]taylor: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) * [misc]taylor: Taking taylor expansion of (sin (- (/ 1 lambda2))) in lambda1 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (/ 1 lambda2) into (/ 1 lambda2) * [misc]backup-simplify: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) * [misc]backup-simplify: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) * [misc]backup-simplify: Simplify (sin (- (/ 1 lambda2))) into (sin (- (/ 1 lambda2))) * [misc]backup-simplify: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) * [misc]backup-simplify: Simplify (cos (- (/ 1 lambda2))) into (cos (- (/ 1 lambda2))) * [misc]backup-simplify: Simplify (* (sin (- (/ 1 lambda2))) 1) into (sin (- (/ 1 lambda2))) * [misc]backup-simplify: Simplify (* (cos (- (/ 1 lambda2))) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (- (/ 1 lambda2))) 0) into (sin (- (/ 1 lambda2))) * [misc]backup-simplify: Simplify (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) into (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))) * [misc]taylor: Taking taylor expansion of (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))) in lambda2 * [misc]taylor: Taking taylor expansion of (sin (- (/ 1 lambda2))) in lambda2 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (sin (- (/ 1 lambda2))) into (sin (- (/ 1 lambda2))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (/ 1 lambda1) into (/ 1 lambda1) * [misc]backup-simplify: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) * [misc]backup-simplify: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) * [misc]backup-simplify: Simplify (* (sin (/ 1 lambda1)) 1) into (sin (/ 1 lambda1)) * [misc]backup-simplify: Simplify (* (cos (/ 1 lambda1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 lambda1)) 0) into (sin (/ 1 lambda1)) * [misc]backup-simplify: Simplify (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) * [misc]backup-simplify: Simplify (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) into (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- (/ 1 lambda2))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- (/ 1 lambda2))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 (sin (- (/ 1 lambda2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 lambda1)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- (/ 1 lambda2))) 0) (* 0 (sin (/ 1 lambda1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- (/ 1 lambda2))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- (/ 1 lambda2))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (- (/ 1 lambda2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- (/ 1 lambda2))) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- (/ 1 lambda2))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- (/ 1 lambda2))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (- (/ 1 lambda2))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (sin (- (/ 1 (/ 1 lambda2)))) (sin (/ 1 (/ 1 lambda1)))) into (* (sin (- lambda2)) (sin lambda1)) * [misc]approximate: Taking taylor expansion of (* (sin (/ 1 (- lambda1))) (sin (- (/ 1 (- lambda2))))) in (lambda1 lambda2) around 0 * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- lambda1))) (sin (- (/ 1 (- lambda2))))) in lambda2 * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- lambda1))) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda1)) in lambda2 * [misc]taylor: Taking taylor expansion of (- lambda1) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (/ 1 (- lambda1)) into (/ -1 lambda1) * [misc]backup-simplify: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) * [misc]backup-simplify: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) * [misc]taylor: Taking taylor expansion of (sin (- (/ 1 (- lambda2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- lambda2))) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of (- lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (sin (- (/ 1 (- lambda2)))) into (sin (/ 1 lambda2)) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- lambda1))) (sin (- (/ 1 (- lambda2))))) in lambda1 * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- lambda1))) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda1)) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda1) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- lambda1))) into (sin (/ -1 lambda1)) * [misc]taylor: Taking taylor expansion of (sin (- (/ 1 (- lambda2)))) in lambda1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- lambda2))) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda2)) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (/ 1 (- lambda2)) into (/ -1 lambda2) * [misc]backup-simplify: Simplify (- (/ -1 lambda2)) into (/ 1 lambda2) * [misc]backup-simplify: Simplify (- (/ -1 lambda2)) into (/ 1 lambda2) * [misc]backup-simplify: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) * [misc]backup-simplify: Simplify (- (/ -1 lambda2)) into (/ 1 lambda2) * [misc]backup-simplify: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- lambda1))) (sin (- (/ 1 (- lambda2))))) in lambda1 * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- lambda1))) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda1)) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda1) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- lambda1))) into (sin (/ -1 lambda1)) * [misc]taylor: Taking taylor expansion of (sin (- (/ 1 (- lambda2)))) in lambda1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- lambda2))) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda2)) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (/ 1 (- lambda2)) into (/ -1 lambda2) * [misc]backup-simplify: Simplify (- (/ -1 lambda2)) into (/ 1 lambda2) * [misc]backup-simplify: Simplify (- (/ -1 lambda2)) into (/ 1 lambda2) * [misc]backup-simplify: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) * [misc]backup-simplify: Simplify (- (/ -1 lambda2)) into (/ 1 lambda2) * [misc]backup-simplify: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) * [misc]backup-simplify: Simplify (* (sin (/ 1 lambda2)) 1) into (sin (/ 1 lambda2)) * [misc]backup-simplify: Simplify (* (cos (/ 1 lambda2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 lambda2)) 0) into (sin (/ 1 lambda2)) * [misc]backup-simplify: Simplify (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) * [misc]taylor: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda2 * [misc]taylor: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ -1 lambda1) in lambda2 * [misc]taylor: Taking taylor expansion of -1 in lambda2 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (/ -1 lambda1) into (/ -1 lambda1) * [misc]backup-simplify: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) * [misc]backup-simplify: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) * [misc]backup-simplify: Simplify (* (sin (/ -1 lambda1)) 1) into (sin (/ -1 lambda1)) * [misc]backup-simplify: Simplify (* (cos (/ -1 lambda1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 lambda1)) 0) into (sin (/ -1 lambda1)) * [misc]backup-simplify: Simplify (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) * [misc]backup-simplify: Simplify (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 lambda2) (/ 0 (- lambda2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 lambda2)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (sin (/ 1 lambda2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 lambda1)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (sin (/ 1 lambda2)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 lambda2) (/ 0 (- lambda2))) (* 0 (/ 0 (- lambda2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 lambda2) (/ 0 (- lambda2))) (* 0 (/ 0 (- lambda2))) (* 0 (/ 0 (- lambda2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (sin (/ -1 (/ 1 (- lambda1)))) (sin (/ 1 (/ 1 (- lambda2))))) into (* (sin (* -1 lambda2)) (sin lambda1)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cbrt (exp (* (sin lambda1) (sin (- lambda2))))) (cbrt (exp (* (sin lambda1) (sin (- lambda2))))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (+ (log (cbrt (pow (exp (sin lambda1)) (- (sin lambda2))))) (log (cbrt (pow (exp (sin lambda1)) (- (sin lambda2)))))) * [misc]simplify: Simplified (2 1 1 2 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (+ (+ (log (cbrt (pow (exp (sin lambda1)) (- (sin lambda2))))) (log (cbrt (pow (exp (sin lambda1)) (- (sin lambda2)))))) (log (cbrt (exp (* (sin lambda1) (sin (- lambda2))))))))))) R)) * * * * [misc]progress: [ 2 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (exp (* (sin lambda1) (sin (- lambda2)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (log (sqrt (pow (exp (sin lambda1)) (- (sin lambda2))))) * [misc]simplify: Simplified (2 1 1 2 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (+ (log (sqrt (pow (exp (sin lambda1)) (- (sin lambda2))))) (log (sqrt (exp (* (sin lambda1) (sin (- lambda2))))))))))) R)) * * * * [misc]progress: [ 3 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (log 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (log 1) * [misc]simplify: Simplified (2 1 1 2 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (+ (log 1) (log (exp (* (sin lambda1) (sin (- lambda2)))))))))) R)) * * * * [misc]progress: [ 4 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (log 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (log 1) * [misc]simplify: Simplified (2 1 1 2 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (- (log 1) (log (exp (* (sin lambda1) (sin lambda2))))))))) R)) * * * * [misc]progress: [ 5 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (log (exp (* (sin lambda1) (sin lambda2)))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (* (sin lambda1) (sin lambda2)) * [misc]simplify: Simplified (2 1 1 2 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (- (* (sin lambda1) (sin lambda2))))))) R)) * * * * [misc]progress: [ 6 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (sin (- lambda2)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (- (sin lambda2)) * [misc]simplify: Simplified (2 1 1 2 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (- (sin lambda2)) (log (exp (sin lambda1)))))))) R)) * * * * [misc]progress: [ 7 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (sin (- lambda2)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (- (sin lambda2)) * [misc]simplify: Simplified (2 1 1 2 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (- (sin lambda2)) (log (exp (sin lambda1)))))))) R)) * * * * [misc]progress: [ 9 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (sin lambda1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sin lambda1) * [misc]simplify: Simplified (2 1 1 2 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) * * * * [misc]progress: [ 11 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (- (cos (- phi1 phi2)) (cos (+ phi2 phi1))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (/ (- (cos (- phi1 phi2)) (cos (+ phi2 phi1))) 2) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin (- lambda2))))))))) R)) * * * * [misc]progress: [ 26 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin phi1) (sin phi2)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (* (sin phi2) (sin phi1)) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (pow (* (sin phi2) (sin phi1)) 1) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin (- lambda2))))))))) R)) * * * * [misc]progress: [ 27 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (sin phi1)) (log (sin phi2))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (+ (log (sin phi1)) (log (sin phi2))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (exp (+ (log (sin phi1)) (log (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin (- lambda2))))))))) R)) * * * * [misc]progress: [ 29 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (99 enodes) * [exit]simplify: Simplified to (pow (* (sin phi2) (sin phi1)) 3) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (pow (* (sin phi2) (sin phi1)) 3)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin (- lambda2))))))))) R)) * * * * [misc]progress: [ 32 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sin phi2)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (cbrt (sin phi2)) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (cbrt (sin phi2))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin (- lambda2))))))))) R)) * * * * [misc]progress: [ 37 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sin phi2)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (sin phi2)) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sin phi1) (sqrt (sin phi2))) (sqrt (sin phi2))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin (- lambda2))))))))) R)) * * * * [misc]progress: [ 38 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (sin phi2) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sin phi2) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sin phi1) 1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin (- lambda2))))))))) R)) * * * * [misc]progress: [ 39 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sin phi1)) (cbrt (sin phi1))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (* (cbrt (sin phi1)) (cbrt (sin phi1))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (cbrt (sin phi1)) (cbrt (sin phi1))) (* (cbrt (sin phi1)) (sin phi2))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin (- lambda2))))))))) R)) * * * * [misc]progress: [ 40 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sin phi1)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (sin phi1)) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sqrt (sin phi1)) (* (sqrt (sin phi1)) (sin phi2))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin (- lambda2))))))))) R)) * * * * [misc]progress: [ 41 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (- (cos (- lambda1 (- lambda2))) (cos (+ lambda1 (- lambda2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (- (cos (+ lambda2 lambda1)) (cos (- lambda1 lambda2))) * [misc]simplify: Simplified (2 1 1 2 2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log (exp (/ (- (cos (+ lambda2 lambda1)) (cos (- lambda1 lambda2))) 2))))))) R)) * * * * [misc]progress: [ 44 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin lambda1) (sin (- lambda2))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * [exit]simplify: Simplified to (- (* (sin lambda2) (sin lambda1))) * [misc]simplify: Simplified (2 1 1 2 2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log (exp (pow (- (* (sin lambda2) (sin lambda1))) 1))))))) R)) * * * * [misc]progress: [ 45 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (sin lambda1)) (log (sin (- lambda2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (+ (log (sin lambda1)) (log (sin (- lambda2)))) * [misc]simplify: Simplified (2 1 1 2 2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log (exp (exp (+ (log (sin lambda1)) (log (sin (- lambda2))))))))))) R)) * * * * [misc]progress: [ 47 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (sin lambda1) (sin lambda1)) (sin lambda1)) (* (* (sin (- lambda2)) (sin (- lambda2))) (sin (- lambda2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (168 enodes) * * [misc]simplify: iters left: 2 (443 enodes) * [exit]simplify: Simplified to (* (* (- (sin lambda1)) (* (sin lambda1) (sin lambda2))) (* (sin lambda2) (* (sin lambda1) (sin lambda2)))) * [misc]simplify: Simplified (2 1 1 2 2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log (exp (cbrt (* (* (- (sin lambda1)) (* (sin lambda1) (sin lambda2))) (* (sin lambda2) (* (sin lambda1) (sin lambda2))))))))))) R)) * * * * [misc]progress: [ 50 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sin (- lambda2))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (- (sin lambda2))) * [misc]simplify: Simplified (2 1 1 2 2 2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log (exp (* (* (sin lambda1) (* (cbrt (sin (- lambda2))) (cbrt (sin (- lambda2))))) (cbrt (- (sin lambda2)))))))))) R)) * * * * [misc]progress: [ 56 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sin (- lambda2))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (- (sin lambda2))) * [misc]simplify: Simplified (2 1 1 2 2 2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log (exp (* (* (sin lambda1) (sqrt (sin (- lambda2)))) (sqrt (- (sin lambda2)))))))))) R)) * * * * [misc]progress: [ 57 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (sin (- lambda2)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (- (sin lambda2)) * [misc]simplify: Simplified (2 1 1 2 2 2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log (exp (* (* (sin lambda1) 1) (- (sin lambda2))))))))) R)) * * * * [misc]progress: [ 58 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sin lambda1)) (cbrt (sin lambda1))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (* (cbrt (sin lambda1)) (cbrt (sin lambda1))) * [misc]simplify: Simplified (2 1 1 2 2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log (exp (* (* (cbrt (sin lambda1)) (cbrt (sin lambda1))) (* (cbrt (sin lambda1)) (sin (- lambda2)))))))))) R)) * * * * [misc]progress: [ 59 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sin lambda1)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (sin lambda1)) * [misc]simplify: Simplified (2 1 1 2 2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log (exp (* (sqrt (sin lambda1)) (* (sqrt (sin lambda1)) (sin (- lambda2)))))))))) R)) * * * * [misc]progress: [ 60 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* -1 (* lambda1 lambda2)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (* lambda2 (- lambda1)) * [misc]simplify: Simplified (2 1 1 2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* lambda2 (- lambda1)))))) R)) * * * * [misc]progress: [ 63 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin (- lambda2)) (sin lambda1)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * [exit]simplify: Simplified to (- (* (sin lambda1) (sin lambda2))) * [misc]simplify: Simplified (2 1 1 2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (- (* (sin lambda1) (sin lambda2))))))) R)) * * * * [misc]progress: [ 64 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin (* -1 lambda2)) (sin lambda1)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (19 enodes) * [exit]simplify: Simplified to (* (sin (- lambda2)) (sin lambda1)) * [misc]simplify: Simplified (2 1 1 2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin (- lambda2)) (sin lambda1)))))) R)) * * * * [misc]progress: [ 65 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (252 enodes) * * [misc]simplify: iters left: 2 (462 enodes) * [exit]simplify: Simplified to (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi1) (cos phi2))))) * [misc]simplify: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi1) (cos phi2))))) R)) * * * * [misc]progress: [ 66 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (cos phi2) (* (cos phi1) (* (sin (- lambda2)) (sin lambda1)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (252 enodes) * * [misc]simplify: iters left: 2 (462 enodes) * [exit]simplify: Simplified to (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi1) (cos phi2))))) * [misc]simplify: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi1) (cos phi2))))) R)) * * * * [misc]progress: [ 67 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))) (* (sin (* -1 lambda2)) (* (cos phi2) (* (cos phi1) (sin lambda1)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (241 enodes) * * [misc]simplify: iters left: 2 (396 enodes) * [exit]simplify: Simplified to (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (* (cos phi1) (cos phi2))))) * [misc]simplify: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (* (cos phi1) (cos phi2))))) R)) * * * * [misc]progress: [ 68 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* phi1 phi2) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* phi2 phi1) * [misc]simplify: Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* phi2 phi1) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin (- lambda2))))))))) R)) * * * * [misc]progress: [ 69 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin phi1) (sin phi2)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (* (sin phi2) (sin phi1)) * [misc]simplify: Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin (- lambda2))))))))) R)) * * * * [misc]progress: [ 70 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin phi1) (sin phi2)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (* (sin phi2) (sin phi1)) * [misc]simplify: Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin (- lambda2))))))))) R)) * * * * [misc]progress: [ 71 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* -1 (* lambda1 lambda2)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (* lambda2 (- lambda1)) * [misc]simplify: Simplified (2 1 1 2 2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log (exp (* lambda2 (- lambda1)))))))) R)) * * * * [misc]progress: [ 72 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin (- lambda2)) (sin lambda1)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * [exit]simplify: Simplified to (- (* (sin lambda1) (sin lambda2))) * [misc]simplify: Simplified (2 1 1 2 2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log (exp (- (* (sin lambda1) (sin lambda2))))))))) R)) * * * * [misc]progress: [ 73 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin (* -1 lambda2)) (sin lambda1)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (19 enodes) * [exit]simplify: Simplified to (* (sin (- lambda2)) (sin lambda1)) * [misc]simplify: Simplified (2 1 1 2 2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log (exp (* (sin (- lambda2)) (sin lambda1)))))))) R)) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime-changes: Finding splitpoints for: (# # # # # # # # # # # # # # # # # # # #) * [misc]regimes: Found splitpoints: (#s(sp 0 (* (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))) +nan.0)) , with alts (#) * [enter]simplify: Simplifying (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin (- lambda2))))))))) R) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * [exit]simplify: Simplified to (* R (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi2) (cos phi1)) (- (* (cos lambda2) (cos lambda1)) (log (exp (* (sin (- lambda2)) (sin lambda1))))))))) * * * * [misc]points: Sampling 8000 additional inputs, on iter 0 have 0 / 8000 * * * * [misc]points: Computing exacts on every 500 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 250 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 125 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 62 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 31 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Setting MPFR precision to 1600 * * * * [misc]points: Computing exacts on every 15 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Setting MPFR precision to 1600 * * * * [misc]points: Computing exacts on every 7 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Setting MPFR precision to 1600 * * * * [misc]points: Computing exacts on every 3 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Setting MPFR precision to 1600 * * * * [misc]points: Computing exacts for 8000 points * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Setting MPFR precision to 1600 * * * * [misc]points: Setting MPFR precision to 1856 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 1 have 7999 / 8000 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1600 * * * * [misc]points: Setting MPFR precision to 1856 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 8003 points with exact outputs