* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 * * * * [misc]points: Computing exacts on every 16 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Setting MPFR precision to 832 * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 8 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 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)) * [exit]simplify: Simplified to (* (cos lambda1) (cos lambda2)) * [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))) * [exit]simplify: Simplified to (- (* (sin lambda2) (sin lambda1))) * * * * [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)) * [exit]simplify: Simplified to (* (cos lambda1) (cos lambda2)) * [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))) * [exit]simplify: Simplified to (- (* (sin lambda2) (sin lambda1))) * * * * [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)) * [exit]simplify: Simplified to (* (cos lambda2) (cos lambda1)) * [enter]simplify: Simplifying (* (sin lambda1) (sin lambda2)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (* (sin lambda2) (sin lambda1)) * [exit]simplify: Simplified to (* (sin lambda2) (sin lambda1)) * * * * [misc]progress: [ 4 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cos (- lambda1 lambda2))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (log (cos (- lambda1 lambda2))) * [exit]simplify: Simplified to (log (cos (- lambda1 lambda2))) * * * * [misc]progress: [ 6 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cos (- lambda1 lambda2))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (exp (cos (- lambda1 lambda2))) * [exit]simplify: Simplified to (exp (cos (- lambda1 lambda2))) * * * * [misc]progress: [ 7 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cos (- lambda1 lambda2))) (cbrt (cos (- lambda1 lambda2)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (* (cbrt (cos (- lambda1 lambda2))) (cbrt (cos (- lambda1 lambda2)))) * [exit]simplify: Simplified to (* (cbrt (cos (- lambda1 lambda2))) (cbrt (cos (- lambda1 lambda2)))) * [enter]simplify: Simplifying (cbrt (cos (- lambda1 lambda2))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (cbrt (cos (- lambda1 lambda2))) * [exit]simplify: Simplified to (cbrt (cos (- lambda1 lambda2))) * * * * [misc]progress: [ 8 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2))) (cos (- lambda1 lambda2))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (pow (cos (- lambda1 lambda2)) 3) * [exit]simplify: Simplified to (pow (cos (- lambda1 lambda2)) 3) * * * * [misc]progress: [ 9 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cos (- lambda1 lambda2))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (sqrt (cos (- lambda1 lambda2))) * [exit]simplify: Simplified to (sqrt (cos (- lambda1 lambda2))) * [enter]simplify: Simplifying (sqrt (cos (- lambda1 lambda2))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (sqrt (cos (- lambda1 lambda2))) * [exit]simplify: Simplified to (sqrt (cos (- lambda1 lambda2))) * * * * [misc]progress: [ 10 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI 2) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ PI 2) * [exit]simplify: Simplified to (/ PI 2) * [enter]simplify: Simplifying (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (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 (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi2) (cos phi1)) (cos (- lambda1 lambda2))))) * [exit]simplify: Simplified to (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi2) (cos phi1)) (cos (- lambda1 lambda2))))) * * * * [misc]progress: [ 12 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (log (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 (log (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi2) (cos phi1)) (cos (- lambda1 lambda2)))))) * [exit]simplify: Simplified to (log (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi2) (cos phi1)) (cos (- lambda1 lambda2)))))) * * * * [misc]progress: [ 14 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (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 (exp (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi2) (cos phi1)) (cos (- lambda1 lambda2)))))) * [exit]simplify: Simplified to (exp (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi2) (cos phi1)) (cos (- lambda1 lambda2)))))) * * * * [misc]progress: [ 15 / 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))))))) * [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))))))) * [enter]simplify: Simplifying (cbrt (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 (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi2) (cos phi1)) (cos (- lambda1 lambda2)))))) * [exit]simplify: Simplified to (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi2) (cos phi1)) (cos (- lambda1 lambda2)))))) * * * * [misc]progress: [ 16 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * [exit]simplify: Simplified to (pow (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi2) (cos phi1)) (cos (- lambda1 lambda2))))) 3) * [exit]simplify: Simplified to (pow (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi2) (cos phi1)) (cos (- lambda1 lambda2))))) 3) * * * * [misc]progress: [ 17 / 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)))))) * [exit]simplify: Simplified to (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi2) (cos phi1)) (cos (- lambda1 lambda2)))))) * [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)))))) * [exit]simplify: Simplified to (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi2) (cos phi1)) (cos (- lambda1 lambda2)))))) * * * * [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))) * [exit]simplify: Simplified to (- (cos (- phi1 phi2)) (cos (+ phi2 phi1))) * * * * [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)) * [exit]simplify: Simplified to (* (sin phi2) (sin phi1)) * * * * [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))) * [exit]simplify: Simplified to (+ (log (sin phi1)) (log (sin phi2))) * * * * [misc]progress: [ 23 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (sin phi1) (sin phi2))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * [exit]simplify: Simplified to (log (* (sin phi2) (sin phi1))) * [exit]simplify: Simplified to (log (* (sin phi2) (sin phi1))) * * * * [misc]progress: [ 24 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (sin phi1) (sin phi2))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (exp (* (sin phi2) (sin phi1))) * [exit]simplify: Simplified to (exp (* (sin phi2) (sin phi1))) * * * * [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) * [exit]simplify: Simplified to (pow (* (sin phi2) (sin phi1)) 3) * * * * [misc]progress: [ 26 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sin phi2) (sin phi1))) (cbrt (* (sin phi2) (sin phi1)))) * [exit]simplify: Simplified to (* (cbrt (* (sin phi2) (sin phi1))) (cbrt (* (sin phi2) (sin phi1)))) * [enter]simplify: Simplifying (cbrt (* (sin phi1) (sin phi2))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (cbrt (* (sin phi2) (sin phi1))) * [exit]simplify: Simplified to (cbrt (* (sin phi2) (sin phi1))) * * * * [misc]progress: [ 27 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (90 enodes) * [exit]simplify: Simplified to (pow (* (sin phi2) (sin phi1)) 3) * [exit]simplify: Simplified to (pow (* (sin phi2) (sin phi1)) 3) * * * * [misc]progress: [ 28 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (sin phi1) (sin phi2))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (sqrt (* (sin phi2) (sin phi1))) * [exit]simplify: Simplified to (sqrt (* (sin phi2) (sin phi1))) * [enter]simplify: Simplifying (sqrt (* (sin phi1) (sin phi2))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (sqrt (* (sin phi2) (sin phi1))) * [exit]simplify: Simplified to (sqrt (* (sin phi2) (sin phi1))) * * * * [misc]progress: [ 29 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (* (* (sin phi1) (cbrt (sin phi2))) (cbrt (sin phi2))) * [exit]simplify: Simplified to (* (* (sin phi1) (cbrt (sin phi2))) (cbrt (sin phi2))) * * * * [misc]progress: [ 31 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin phi1) (sqrt (sin phi2))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (* (sin phi1) (sqrt (sin phi2))) * [exit]simplify: Simplified to (* (sin phi1) (sqrt (sin phi2))) * * * * [misc]progress: [ 32 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin phi1) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (9 enodes) * [exit]simplify: Simplified to (sin phi1) * [exit]simplify: Simplified to (sin phi1) * * * * [misc]progress: [ 33 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sin phi1)) (sin phi2)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (* (cbrt (sin phi1)) (sin phi2)) * [exit]simplify: Simplified to (* (cbrt (sin phi1)) (sin phi2)) * * * * [misc]progress: [ 34 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sin phi1)) (sin phi2)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (* (sqrt (sin phi1)) (sin phi2)) * [exit]simplify: Simplified to (* (sqrt (sin phi1)) (sin phi2)) * * * * [misc]progress: [ 35 / 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)) * [exit]simplify: Simplified to (* (sin phi2) (sin phi1)) * * * * [misc]progress: [ 36 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * [exit]simplify: Simplified to (log (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi2) (cos phi1)) (cos (- lambda1 lambda2))))) R)) * [exit]simplify: Simplified to (log (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi2) (cos phi1)) (cos (- lambda1 lambda2))))) R)) * * * * [misc]progress: [ 39 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * [exit]simplify: Simplified to (exp (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi2) (cos phi1)) (cos (- lambda1 lambda2))))) R)) * [exit]simplify: Simplified to (exp (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi2) (cos phi1)) (cos (- lambda1 lambda2))))) R)) * * * * [misc]progress: [ 40 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * [exit]simplify: Simplified to (* (cbrt (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi2) (cos phi1)) (cos (- lambda1 lambda2))))) R)) (cbrt (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi2) (cos phi1)) (cos (- lambda1 lambda2))))) R))) * [exit]simplify: Simplified to (* (cbrt (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi2) (cos phi1)) (cos (- lambda1 lambda2))))) R)) (cbrt (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi2) (cos phi1)) (cos (- lambda1 lambda2))))) R))) * [enter]simplify: Simplifying (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * [exit]simplify: Simplified to (cbrt (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi2) (cos phi1)) (cos (- lambda1 lambda2))))) R)) * [exit]simplify: Simplified to (cbrt (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi2) (cos phi1)) (cos (- lambda1 lambda2))))) R)) * * * * [misc]progress: [ 41 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (116 enodes) * * [misc]simplify: iters left: 1 (120 enodes) * [exit]simplify: Simplified to (pow (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi2) (cos phi1)) (cos (- lambda1 lambda2))))) R) 3) * [exit]simplify: Simplified to (pow (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi2) (cos phi1)) (cos (- lambda1 lambda2))))) R) 3) * * * * [misc]progress: [ 42 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * [exit]simplify: Simplified to (sqrt (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi2) (cos phi1)) (cos (- lambda1 lambda2))))) R)) * [exit]simplify: Simplified to (sqrt (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi2) (cos phi1)) (cos (- lambda1 lambda2))))) R)) * [enter]simplify: Simplifying (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * [exit]simplify: Simplified to (sqrt (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi2) (cos phi1)) (cos (- lambda1 lambda2))))) R)) * [exit]simplify: Simplified to (sqrt (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi2) (cos phi1)) (cos (- lambda1 lambda2))))) R)) * * * * [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)))))) R) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * [exit]simplify: Simplified to (* R (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi2) (cos phi1)) (cos (- lambda1 lambda2))))))) * [exit]simplify: Simplified to (* R (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi2) (cos phi1)) (cos (- lambda1 lambda2))))))) * * * * [misc]progress: [ 45 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) R) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * [exit]simplify: Simplified to (* R (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi2) (cos phi1)) (cos (- lambda1 lambda2))))))) * [exit]simplify: Simplified to (* R (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi2) (cos phi1)) (cos (- lambda1 lambda2))))))) * * * * [misc]progress: [ 46 / 59 ] simplifiying candidate # * [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) * [exit]simplify: Simplified to (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi2) (cos phi1)) (cos (- lambda1 lambda2))))) R) * * * * [misc]progress: [ 47 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (+ (* lambda1 lambda2) 1) (* 1/2 (pow lambda1 2)))))) R) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (281 enodes) * [exit]simplify: Simplified to (* (acos (+ (* (sin phi2) (sin phi1)) (* (- (+ 1 (* lambda1 lambda2)) (* lambda1 (* 1/2 lambda1))) (* (cos phi1) (cos phi2))))) R) * * * * [misc]progress: [ 49 / 59 ] simplifiying candidate # * [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: [ 50 / 59 ] simplifiying candidate # * [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: [ 51 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (cos phi1) (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 phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) * * * * [misc]progress: [ 52 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (cos phi1) (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 phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) * * * * [misc]progress: [ 53 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (cos phi1) (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 phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) * * * * [misc]progress: [ 54 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (* (acos (+ (* phi1 phi2) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) * * [misc]simplify: iters left: 6 (15 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 (* R (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* phi2 phi1)))) * * * * [misc]progress: [ 55 / 59 ] simplifiying candidate # * [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: [ 56 / 59 ] simplifiying candidate # * [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: [ 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]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]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]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) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1 2 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) * [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: [ 4 / 4 ] generating series at (2 1 1 2 2) * [misc]approximate: Taking taylor expansion of (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))) in (lambda1 lambda2) around 0 * [misc]taylor: Taking taylor expansion of (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of (cos lambda1) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (cos lambda1) into (cos lambda1) * [misc]backup-simplify: Simplify (sin lambda1) into (sin lambda1) * [misc]taylor: Taking taylor expansion of (cos lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in lambda2 * [misc]taylor: Taking taylor expansion of (sin lambda1) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (sin lambda1) into (sin lambda1) * [misc]backup-simplify: Simplify (cos lambda1) into (cos lambda1) * [misc]taylor: Taking taylor expansion of (sin (- lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of (- lambda2) in lambda2 * [misc]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 (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))) in lambda1 * [misc]taylor: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in lambda1 * [misc]taylor: Taking taylor expansion of (cos lambda1) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (cos lambda2) into (cos lambda2) * [misc]backup-simplify: Simplify (sin lambda2) into (sin lambda2) * [misc]taylor: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in lambda1 * [misc]taylor: Taking taylor expansion of (sin lambda1) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sin (- lambda2)) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda2) in lambda1 * [misc]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 (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))) in lambda1 * [misc]taylor: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in lambda1 * [misc]taylor: Taking taylor expansion of (cos lambda1) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (cos lambda2) into (cos lambda2) * [misc]backup-simplify: Simplify (sin lambda2) into (sin lambda2) * [misc]taylor: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in lambda1 * [misc]taylor: Taking taylor expansion of (sin lambda1) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sin (- lambda2)) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda2) in lambda1 * [misc]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 (* (cos lambda2) 1) into (cos lambda2) * [misc]backup-simplify: Simplify (* (sin lambda2) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos lambda2) 0) into (cos lambda2) * [misc]backup-simplify: Simplify (* 1 (cos lambda2)) into (cos lambda2) * [misc]backup-simplify: Simplify (* (sin (- lambda2)) 1) into (sin (- lambda2)) * [misc]backup-simplify: Simplify (* (cos (- lambda2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (- lambda2)) 0) into (sin (- lambda2)) * [misc]backup-simplify: Simplify (* 0 (sin (- lambda2))) into 0 * [misc]backup-simplify: Simplify (- 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]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos lambda2) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin lambda2) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (cos lambda2))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- lambda2)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 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 (- (sin (- lambda2))) into (- (sin (- lambda2))) * [misc]backup-simplify: Simplify (+ 0 (- (sin (- lambda2)))) into (- (sin (- lambda2))) * [misc]taylor: Taking taylor expansion of (- (sin (- lambda2))) in lambda2 * [misc]taylor: Taking taylor expansion of (sin (- lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of (- lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* (- 1/2) (cos lambda2)))) into (- (* 1/2 (cos lambda2))) * [misc]backup-simplify: Simplify (- 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 (- 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]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)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2))))) in (lambda1 lambda2) around 0 * [misc]taylor: Taking taylor expansion of (- (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) in lambda2 * [misc]taylor: Taking taylor expansion of (cos (/ 1 lambda1)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (/ 1 lambda1) into (/ 1 lambda1) * [misc]backup-simplify: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) * [misc]backup-simplify: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (/ 1 lambda1) into (/ 1 lambda1) * [misc]backup-simplify: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) * [misc]backup-simplify: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) * [misc]taylor: Taking taylor expansion of (sin (- (/ 1 lambda2))) in lambda2 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 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 (- (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2))))) in lambda1 * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) in lambda1 * [misc]taylor: Taking taylor expansion of (cos (/ 1 lambda1)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 lambda2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (/ 1 lambda2) into (/ 1 lambda2) * [misc]backup-simplify: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) * [misc]backup-simplify: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in lambda1 * [misc]taylor: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) * [misc]taylor: Taking taylor expansion of (sin (- (/ 1 lambda2))) in lambda1 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 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 (- (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2))))) in lambda1 * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) in lambda1 * [misc]taylor: Taking taylor expansion of (cos (/ 1 lambda1)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 lambda2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (/ 1 lambda2) into (/ 1 lambda2) * [misc]backup-simplify: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) * [misc]backup-simplify: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in lambda1 * [misc]taylor: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) * [misc]taylor: Taking taylor expansion of (sin (- (/ 1 lambda2))) in lambda1 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 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 (* (cos (/ 1 lambda2)) 1) into (cos (/ 1 lambda2)) * [misc]backup-simplify: Simplify (* (sin (/ 1 lambda2)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1 lambda2)) 0) into (cos (/ 1 lambda2)) * [misc]backup-simplify: Simplify (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) into (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) * [misc]backup-simplify: Simplify (* (sin (- (/ 1 lambda2))) 1) into (sin (- (/ 1 lambda2))) * [misc]backup-simplify: Simplify (* (cos (- (/ 1 lambda2))) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (- (/ 1 lambda2))) 0) into (sin (- (/ 1 lambda2))) * [misc]backup-simplify: Simplify (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) into (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))) * [misc]backup-simplify: Simplify (- (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1)))) into (- (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1)))) * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (- (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))))) into (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2))))) * [misc]taylor: Taking taylor expansion of (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in lambda2 * [misc]taylor: Taking taylor expansion of (cos (/ 1 lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 lambda1)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (/ 1 lambda1) into (/ 1 lambda1) * [misc]backup-simplify: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) * [misc]backup-simplify: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) * [misc]taylor: Taking taylor expansion of (* (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 (* (cos (/ 1 lambda1)) 1) into (cos (/ 1 lambda1)) * [misc]backup-simplify: Simplify (* (sin (/ 1 lambda1)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1 lambda1)) 0) into (cos (/ 1 lambda1)) * [misc]backup-simplify: Simplify (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) into (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) * [misc]backup-simplify: Simplify (* (sin (/ 1 lambda1)) 1) into (sin (/ 1 lambda1)) * [misc]backup-simplify: Simplify (* (cos (/ 1 lambda1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 lambda1)) 0) into (sin (/ 1 lambda1)) * [misc]backup-simplify: Simplify (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) into (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))) * [misc]backup-simplify: Simplify (- (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1)))) into (- (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1)))) * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (- (* (sin (- (/ 1 lambda2))) (sin (/ 1 lambda1))))) into (- (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2))))) * [misc]backup-simplify: Simplify (- (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2))))) into (- (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 lambda2)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 lambda1)) 0) (* 0 (cos (/ 1 lambda2)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- (/ 1 lambda2))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0 * [misc]backup-simplify: Simplify (- 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 lambda1)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 lambda2)) 0) (* 0 (cos (/ 1 lambda1)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 lambda1)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 (sin (- (/ 1 lambda2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 (cos (/ 1 lambda2))))) into 0 * [misc]backup-simplify: Simplify (- 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 (cos (/ 1 lambda1))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (- (/ 1 lambda2)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 lambda1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 lambda2)))))) 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (* (cos (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 lambda2)))) (* (sin (/ 1 (/ 1 lambda1))) (sin (- (/ 1 (/ 1 lambda2)))))) into (- (* (cos lambda1) (cos lambda2)) (* (sin (- lambda2)) (sin lambda1))) * [misc]approximate: Taking taylor expansion of (- (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (- (/ 1 (- lambda2)))))) in (lambda1 lambda2) around 0 * [misc]taylor: Taking taylor expansion of (- (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (- (/ 1 (- lambda2)))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- lambda1))) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda1)) in lambda2 * [misc]taylor: Taking taylor expansion of (- lambda1) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (/ 1 (- lambda1)) into (/ -1 lambda1) * [misc]backup-simplify: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) * [misc]backup-simplify: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- lambda2))) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of (- lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- lambda2))) into (cos (/ -1 lambda2)) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- lambda1))) (sin (- (/ 1 (- lambda2))))) in lambda2 * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- lambda1))) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda1)) in lambda2 * [misc]taylor: Taking taylor expansion of (- lambda1) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (/ 1 (- lambda1)) into (/ -1 lambda1) * [misc]backup-simplify: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) * [misc]backup-simplify: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) * [misc]taylor: Taking taylor expansion of (sin (- (/ 1 (- lambda2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- lambda2))) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 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 (- (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (- (/ 1 (- lambda2)))))) in lambda1 * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) in lambda1 * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- lambda1))) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda1)) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda1) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- lambda1))) into (cos (/ -1 lambda1)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- lambda2))) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda2)) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (/ 1 (- lambda2)) into (/ -1 lambda2) * [misc]backup-simplify: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2)) * [misc]backup-simplify: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- lambda1))) (sin (- (/ 1 (- lambda2))))) in lambda1 * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- lambda1))) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda1)) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda1) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- lambda1))) into (sin (/ -1 lambda1)) * [misc]taylor: Taking taylor expansion of (sin (- (/ 1 (- lambda2)))) in lambda1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- lambda2))) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 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 (- (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (- (/ 1 (- lambda2)))))) in lambda1 * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) in lambda1 * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- lambda1))) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda1)) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda1) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- lambda1))) into (cos (/ -1 lambda1)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- lambda2))) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda2)) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (/ 1 (- lambda2)) into (/ -1 lambda2) * [misc]backup-simplify: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2)) * [misc]backup-simplify: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- lambda1))) (sin (- (/ 1 (- lambda2))))) in lambda1 * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- lambda1))) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda1)) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda1) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- lambda1))) into (sin (/ -1 lambda1)) * [misc]taylor: Taking taylor expansion of (sin (- (/ 1 (- lambda2)))) in lambda1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- lambda2))) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 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 (* (cos (/ -1 lambda2)) 1) into (cos (/ -1 lambda2)) * [misc]backup-simplify: Simplify (* (sin (/ -1 lambda2)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1 lambda2)) 0) into (cos (/ -1 lambda2)) * [misc]backup-simplify: Simplify (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) into (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) * [misc]backup-simplify: Simplify (* (sin (/ 1 lambda2)) 1) into (sin (/ 1 lambda2)) * [misc]backup-simplify: Simplify (* (cos (/ 1 lambda2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 lambda2)) 0) into (sin (/ 1 lambda2)) * [misc]backup-simplify: Simplify (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) * [misc]backup-simplify: Simplify (- (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2)))) into (- (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2)))) * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (- (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))))) into (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2)))) * [misc]taylor: Taking taylor expansion of (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in lambda2 * [misc]taylor: Taking taylor expansion of (cos (/ -1 lambda1)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ -1 lambda1) in lambda2 * [misc]taylor: Taking taylor expansion of -1 in lambda2 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (/ -1 lambda1) into (/ -1 lambda1) * [misc]backup-simplify: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) * [misc]backup-simplify: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) * [misc]taylor: Taking taylor expansion of (cos (/ -1 lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ -1 lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of -1 in lambda2 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2)) * [misc]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 (* (cos (/ -1 lambda1)) 1) into (cos (/ -1 lambda1)) * [misc]backup-simplify: Simplify (* (sin (/ -1 lambda1)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1 lambda1)) 0) into (cos (/ -1 lambda1)) * [misc]backup-simplify: Simplify (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) into (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) * [misc]backup-simplify: Simplify (* (sin (/ -1 lambda1)) 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 (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (- (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))))) into (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2)))) * [misc]backup-simplify: Simplify (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2)))) into (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2)))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 lambda2)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 lambda2) (/ 0 (- lambda2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 lambda2)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 lambda1)) 0) (* 0 (cos (/ -1 lambda2)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 lambda2) (/ 0 (- lambda2))))) into 0 * [misc]backup-simplify: Simplify (- 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 lambda1)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 lambda1)) 0) (* 0 (cos (/ -1 lambda2)))) into 0 * [misc]backup-simplify: Simplify (+ 0) 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 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 lambda2) (/ 0 (- lambda2))) (* 0 (/ 0 (- lambda2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (cos (/ -1 lambda2))))) into 0 * [misc]backup-simplify: Simplify (- 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 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 (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (cos (/ -1 lambda2))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 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 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 (+ (* (cos (/ -1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 lambda2) (/ 0 (- lambda2))) (* 0 (/ 0 (- lambda2))) (* 0 (/ 0 (- lambda2))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 lambda1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 lambda2)))))) 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (* (cos (/ -1 (/ 1 (- lambda1)))) (cos (/ -1 (/ 1 (- lambda2))))) (* (sin (/ -1 (/ 1 (- lambda1)))) (sin (/ 1 (/ 1 (- lambda2)))))) into (- (* (cos lambda1) (cos lambda2)) (* (sin (* -1 lambda2)) (sin lambda1))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI 2) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ PI 2) * [exit]simplify: Simplified to (/ PI 2) * [enter]simplify: Simplifying (asin (+ (* (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 (asin (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))) * [exit]simplify: Simplified to (asin (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))) * * * * [misc]progress: [ 2 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (log (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 (log (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1)))))) * [exit]simplify: Simplified to (log (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1)))))) * * * * [misc]progress: [ 4 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (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 (exp (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1)))))) * [exit]simplify: Simplified to (exp (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1)))))) * * * * [misc]progress: [ 5 / 63 ] 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))))))) * [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))))))) * [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)))))) * [exit]simplify: Simplified to (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1)))))) * * * * [misc]progress: [ 6 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (167 enodes) * * [misc]simplify: iters left: 2 (304 enodes) * [exit]simplify: Simplified to (pow (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))))) 3) * [exit]simplify: Simplified to (pow (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))))) 3) * * * * [misc]progress: [ 7 / 63 ] 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)))))) * [exit]simplify: Simplified to (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1)))))) * [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)))))) * [exit]simplify: Simplified to (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1)))))) * * * * [misc]progress: [ 8 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 63 ] 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))) * [exit]simplify: Simplified to (- (cos (- phi1 phi2)) (cos (+ phi2 phi1))) * * * * [misc]progress: [ 10 / 63 ] 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)) * [exit]simplify: Simplified to (* (sin phi2) (sin phi1)) * * * * [misc]progress: [ 11 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 63 ] 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))) * [exit]simplify: Simplified to (+ (log (sin phi1)) (log (sin phi2))) * * * * [misc]progress: [ 13 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (sin phi1) (sin phi2))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * [exit]simplify: Simplified to (log (* (sin phi2) (sin phi1))) * [exit]simplify: Simplified to (log (* (sin phi2) (sin phi1))) * * * * [misc]progress: [ 14 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (sin phi1) (sin phi2))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (exp (* (sin phi2) (sin phi1))) * [exit]simplify: Simplified to (exp (* (sin phi2) (sin phi1))) * * * * [misc]progress: [ 15 / 63 ] 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) * [exit]simplify: Simplified to (pow (* (sin phi2) (sin phi1)) 3) * * * * [misc]progress: [ 16 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sin phi2) (sin phi1))) (cbrt (* (sin phi2) (sin phi1)))) * [exit]simplify: Simplified to (* (cbrt (* (sin phi2) (sin phi1))) (cbrt (* (sin phi2) (sin phi1)))) * [enter]simplify: Simplifying (cbrt (* (sin phi1) (sin phi2))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (cbrt (* (sin phi2) (sin phi1))) * [exit]simplify: Simplified to (cbrt (* (sin phi2) (sin phi1))) * * * * [misc]progress: [ 17 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (90 enodes) * [exit]simplify: Simplified to (pow (* (sin phi2) (sin phi1)) 3) * [exit]simplify: Simplified to (pow (* (sin phi2) (sin phi1)) 3) * * * * [misc]progress: [ 18 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (sin phi1) (sin phi2))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (sqrt (* (sin phi2) (sin phi1))) * [exit]simplify: Simplified to (sqrt (* (sin phi2) (sin phi1))) * [enter]simplify: Simplifying (sqrt (* (sin phi1) (sin phi2))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (sqrt (* (sin phi2) (sin phi1))) * [exit]simplify: Simplified to (sqrt (* (sin phi2) (sin phi1))) * * * * [misc]progress: [ 19 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (* (* (sin phi1) (cbrt (sin phi2))) (cbrt (sin phi2))) * [exit]simplify: Simplified to (* (* (sin phi1) (cbrt (sin phi2))) (cbrt (sin phi2))) * * * * [misc]progress: [ 21 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin phi1) (sqrt (sin phi2))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (* (sin phi1) (sqrt (sin phi2))) * [exit]simplify: Simplified to (* (sin phi1) (sqrt (sin phi2))) * * * * [misc]progress: [ 22 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin phi1) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (9 enodes) * [exit]simplify: Simplified to (sin phi1) * [exit]simplify: Simplified to (sin phi1) * * * * [misc]progress: [ 23 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sin phi1)) (sin phi2)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (* (cbrt (sin phi1)) (sin phi2)) * [exit]simplify: Simplified to (* (cbrt (sin phi1)) (sin phi2)) * * * * [misc]progress: [ 24 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sin phi1)) (sin phi2)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (* (sqrt (sin phi1)) (sin phi2)) * [exit]simplify: Simplified to (* (sqrt (sin phi1)) (sin phi2)) * * * * [misc]progress: [ 25 / 63 ] 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)) * [exit]simplify: Simplified to (* (sin phi2) (sin phi1)) * * * * [misc]progress: [ 26 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (170 enodes) * * [misc]simplify: iters left: 2 (306 enodes) * [exit]simplify: Simplified to (log (* (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (* (cos phi2) (cos phi1))))) R)) * [exit]simplify: Simplified to (log (* (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (* (cos phi2) (cos phi1))))) R)) * * * * [misc]progress: [ 29 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (168 enodes) * * [misc]simplify: iters left: 2 (302 enodes) * [exit]simplify: Simplified to (exp (* (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))) R)) * [exit]simplify: Simplified to (exp (* (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))) R)) * * * * [misc]progress: [ 30 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R))) * * [misc]simplify: iters left: 6 (25 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 (* (cbrt (* (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))) R)) (cbrt (* (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))) R))) * [exit]simplify: Simplified to (* (cbrt (* (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))) R)) (cbrt (* (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))) R))) * [enter]simplify: Simplifying (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (166 enodes) * * [misc]simplify: iters left: 2 (300 enodes) * [exit]simplify: Simplified to (cbrt (* (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))))) R)) * [exit]simplify: Simplified to (cbrt (* (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))))) R)) * * * * [misc]progress: [ 31 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (216 enodes) * * [misc]simplify: iters left: 2 (382 enodes) * [exit]simplify: Simplified to (pow (* (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))) R) 3) * [exit]simplify: Simplified to (pow (* (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))) R) 3) * * * * [misc]progress: [ 32 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (166 enodes) * * [misc]simplify: iters left: 2 (300 enodes) * [exit]simplify: Simplified to (sqrt (* (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))))) R)) * [exit]simplify: Simplified to (sqrt (* (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))))) R)) * [enter]simplify: Simplifying (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (166 enodes) * * [misc]simplify: iters left: 2 (300 enodes) * [exit]simplify: Simplified to (sqrt (* (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))))) R)) * [exit]simplify: Simplified to (sqrt (* (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))))) R)) * * * * [misc]progress: [ 33 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) R) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (166 enodes) * * [misc]simplify: iters left: 2 (300 enodes) * [exit]simplify: Simplified to (* (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1)))))) R) * [exit]simplify: Simplified to (* (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1)))))) R) * * * * [misc]progress: [ 35 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) R) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (166 enodes) * * [misc]simplify: iters left: 2 (300 enodes) * [exit]simplify: Simplified to (* (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1)))))) R) * [exit]simplify: Simplified to (* (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1)))))) R) * * * * [misc]progress: [ 36 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R) * * [misc]simplify: iters left: 6 (23 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 (* (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (* (cos phi2) (cos phi1))))) R) * [exit]simplify: Simplified to (* (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (* (cos phi2) (cos phi1))))) R) * * * * [misc]progress: [ 37 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (* (cos lambda1) (cos lambda2))) (exp (* (sin lambda1) (sin (- lambda2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (113 enodes) * [exit]simplify: Simplified to (exp (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2)))) * [exit]simplify: Simplified to (exp (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2)))) * * * * [misc]progress: [ 39 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (log (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) * [exit]simplify: Simplified to (log (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) * * * * [misc]progress: [ 41 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (121 enodes) * [exit]simplify: Simplified to (exp (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))) * [exit]simplify: Simplified to (exp (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))) * * * * [misc]progress: [ 42 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))) (cbrt (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (cbrt (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))))) * [exit]simplify: Simplified to (* (cbrt (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (cbrt (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))))) * [enter]simplify: Simplifying (cbrt (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (cbrt (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) * [exit]simplify: Simplified to (cbrt (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) * * * * [misc]progress: [ 43 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (154 enodes) * [exit]simplify: Simplified to (pow (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) 3) * [exit]simplify: Simplified to (pow (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) 3) * * * * [misc]progress: [ 44 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) * [exit]simplify: Simplified to (sqrt (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) * [enter]simplify: Simplifying (sqrt (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) * [exit]simplify: Simplified to (sqrt (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) * * * * [misc]progress: [ 45 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (cos (+ lambda1 lambda2)) (cos (- lambda1 lambda2))) (- (cos (- lambda1 (- lambda2))) (cos (+ lambda1 (- lambda2))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (206 enodes) * [exit]simplify: Simplified to (+ (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2))) * [exit]simplify: Simplified to (+ (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2))) * * * * [misc]progress: [ 46 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (+ (cos (+ lambda1 lambda2)) (cos (- lambda1 lambda2))) 2) (* 2 (- (cos (- lambda1 (- lambda2))) (cos (+ lambda1 (- lambda2)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (202 enodes) * * [misc]simplify: iters left: 1 (420 enodes) * [exit]simplify: Simplified to (+ (* (cos (- lambda1 lambda2)) 2) (* (cos (- lambda1 lambda2)) 2)) * [exit]simplify: Simplified to (+ (* (cos (- lambda1 lambda2)) 2) (* (cos (- lambda1 lambda2)) 2)) * [enter]simplify: Simplifying (* 2 2) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (* 2 2) * [exit]simplify: Simplified to (* 2 2) * * * * [misc]progress: [ 47 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (* (cos lambda1) (cos lambda2)) 3) (pow (* (sin lambda1) (sin (- lambda2))) 3)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (265 enodes) * [exit]simplify: Simplified to (+ (pow (* (sin lambda1) (sin lambda2)) 3) (pow (* (cos lambda2) (cos lambda1)) 3)) * [exit]simplify: Simplified to (+ (pow (* (sin lambda1) (sin lambda2)) 3) (pow (* (cos lambda2) (cos lambda1)) 3)) * [enter]simplify: Simplifying (+ (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (+ (* (* (sin lambda1) (sin (- lambda2))) (* (sin lambda1) (sin (- lambda2)))) (* (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (269 enodes) * [exit]simplify: Simplified to (+ (* (- (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos lambda2) (cos lambda1))) (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1)))) * [exit]simplify: Simplified to (+ (* (- (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos lambda2) (cos lambda1))) (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1)))) * * * * [misc]progress: [ 48 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (sin lambda1) (sin (- lambda2)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (* (sin lambda2) (sin lambda1)) * [exit]simplify: Simplified to (* (sin lambda2) (sin lambda1)) * * * * [misc]progress: [ 49 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (* (* (sin lambda1) (sin (- lambda2))) (* (sin lambda1) (sin (- lambda2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (140 enodes) * * [misc]simplify: iters left: 2 (254 enodes) * [exit]simplify: Simplified to (* (- (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) * [exit]simplify: Simplified to (* (- (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) * [enter]simplify: Simplifying (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (- (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) * [exit]simplify: Simplified to (- (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) * * * * [misc]progress: [ 51 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (sin lambda1) (sin (- lambda2)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (* (sin lambda2) (sin lambda1)) * [exit]simplify: Simplified to (* (sin lambda2) (sin lambda1)) * * * * [misc]progress: [ 52 / 63 ] 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]progress: [ 53 / 63 ] 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]progress: [ 54 / 63 ] 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]progress: [ 55 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (acos (+ (* phi1 phi2) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (165 enodes) * * [misc]simplify: iters left: 2 (320 enodes) * [exit]simplify: Simplified to (* R (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* phi2 phi1)))) * * * * [misc]progress: [ 56 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R) * * [misc]simplify: iters left: 6 (23 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 (* (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (* (cos phi2) (cos phi1))))) R) * * * * [misc]progress: [ 57 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R) * * [misc]simplify: iters left: 6 (23 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 (* (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (* (cos phi2) (cos phi1))))) R) * * * * [misc]progress: [ 58 / 63 ] 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]progress: [ 59 / 63 ] 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]progress: [ 60 / 63 ] 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]progress: [ 61 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (+ (* lambda1 lambda2) 1) (* 1/2 (pow lambda1 2)))))) R) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (281 enodes) * [exit]simplify: Simplified to (* (acos (+ (* (sin phi2) (sin phi1)) (* (- (+ 1 (* lambda1 lambda2)) (* lambda1 (* 1/2 lambda1))) (* (cos phi1) (cos phi2))))) R) * * * * [misc]progress: [ 62 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin (- lambda2)) (sin lambda1)))))) R) * * [misc]simplify: iters left: 6 (23 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 (* (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (* (cos phi2) (cos phi1))))) R) * * * * [misc]progress: [ 63 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin (* -1 lambda2)) (sin lambda1)))))) R) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (166 enodes) * * [misc]simplify: iters left: 2 (304 enodes) * [exit]simplify: Simplified to (* (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (* (cos phi2) (cos phi1))) (* (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 phi2) (sin phi1)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))))) in (phi2 phi1 lambda1 lambda2) around 0 * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))))) in lambda2 * [misc]backup-simplify: Simplify (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))))) 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 phi2) (sin phi1)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))))) in lambda1 * [misc]backup-simplify: Simplify (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))))) 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 phi2) (sin phi1)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))))) in phi1 * [misc]backup-simplify: Simplify (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))))) 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 phi2) (sin phi1)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))))) in phi2 * [misc]backup-simplify: Simplify (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))))) 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 phi2) (sin phi1)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))))) in phi2 * [misc]backup-simplify: Simplify (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))))) 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 phi1 * [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 phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (acos (+ (* (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 phi2)) (sin (/ 1 phi1))) (* (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))) in (phi2 phi1 lambda1 lambda2) around 0 * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))) in lambda2 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (cos (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda2))))) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (/ 1 lambda1)))))))) * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))) in lambda1 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (cos (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda2))))) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (/ 1 lambda1)))))))) * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))) in phi1 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (cos (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda2))))) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (/ 1 lambda1)))))))) * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))) in phi2 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (cos (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda2))))) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (/ 1 lambda1)))))))) * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))) in phi2 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (cos (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda2))))) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (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))))) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (/ 1 lambda1)))))))) in phi1 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (cos (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda2))))) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (/ 1 lambda1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi1)) (sin (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) * [misc]taylor: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi1)) (sin (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in lambda1 * [misc]backup-simplify: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi1)) (sin (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi1)) (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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi1)) (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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi1)) (sin (/ 1 lambda1)))))))) into (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (/ 1 lambda1))))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (/ 1 lambda1))))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi1)) (sin (/ 1 lambda1)))))))) * [misc]taylor: Taking taylor expansion of 0 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ 1 (/ 1 phi1))) (sin (/ 1 (/ 1 phi2)))) (+ (* (cos (/ 1 (/ 1 lambda1))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 phi1))) (cos (/ 1 (/ 1 lambda2)))))) (* (cos (/ 1 (/ 1 phi2))) (* (sin (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 phi1))) (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 (- phi2))) (sin (/ 1 (- phi1)))) (* (+ (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- lambda2))) (cos (/ 1 (- lambda1))))) (* (cos (/ 1 (- phi2))) (cos (/ 1 (- phi1))))))) in (phi2 phi1 lambda1 lambda2) around 0 * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) (* (+ (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- lambda2))) (cos (/ 1 (- lambda1))))) (* (cos (/ 1 (- phi2))) (cos (/ 1 (- phi1))))))) in lambda2 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) (* (+ (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- lambda2))) (cos (/ 1 (- lambda1))))) (* (cos (/ 1 (- phi2))) (cos (/ 1 (- phi1))))))) into (acos (+ (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) (* (+ (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- lambda2))) (cos (/ 1 (- lambda1))))) (* (cos (/ 1 (- phi2))) (cos (/ 1 (- phi1))))))) in lambda1 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) (* (+ (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- lambda2))) (cos (/ 1 (- lambda1))))) (* (cos (/ 1 (- phi2))) (cos (/ 1 (- phi1))))))) into (acos (+ (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) (* (+ (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- lambda2))) (cos (/ 1 (- lambda1))))) (* (cos (/ 1 (- phi2))) (cos (/ 1 (- phi1))))))) in phi1 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) (* (+ (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- lambda2))) (cos (/ 1 (- lambda1))))) (* (cos (/ 1 (- phi2))) (cos (/ 1 (- phi1))))))) into (acos (+ (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) (* (+ (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- lambda2))) (cos (/ 1 (- lambda1))))) (* (cos (/ 1 (- phi2))) (cos (/ 1 (- phi1))))))) in phi2 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) (* (+ (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- lambda2))) (cos (/ 1 (- lambda1))))) (* (cos (/ 1 (- phi2))) (cos (/ 1 (- phi1))))))) into (acos (+ (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) (* (+ (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- lambda2))) (cos (/ 1 (- lambda1))))) (* (cos (/ 1 (- phi2))) (cos (/ 1 (- phi1))))))) in phi2 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) (* (+ (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- lambda2))) (cos (/ 1 (- lambda1))))) (* (cos (/ 1 (- phi2))) (cos (/ 1 (- phi1))))))) into (acos (+ (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))) (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))) (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))) (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda2 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))) (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))) (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) * [misc]taylor: Taking taylor expansion of 0 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (* (cos (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- lambda2))))))) (+ (* (sin (/ -1 (/ 1 (- phi2)))) (sin (/ -1 (/ 1 (- phi1))))) (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (cos (/ -1 (/ 1 (- lambda2)))))))))) into (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos phi2) (* (cos phi1) (* (sin lambda2) (sin lambda1)))) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (log (exp (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))))))) in (phi2 phi1 lambda1 lambda2) around 0 * [misc]taylor: Taking taylor expansion of (log (exp (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))))))) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1)))))) in lambda2 * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))))) in lambda2 * [misc]backup-simplify: Simplify (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))))) 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 phi2) (sin phi1)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))))))) in lambda1 * [misc]taylor: Taking taylor expansion of (exp (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1)))))) in lambda1 * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))))) in lambda1 * [misc]backup-simplify: Simplify (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))))) 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 phi2) (sin phi1)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))))))) in phi1 * [misc]taylor: Taking taylor expansion of (exp (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1)))))) in phi1 * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))))) in phi1 * [misc]backup-simplify: Simplify (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))))) 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 phi2) (sin phi1)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))))))) in phi2 * [misc]taylor: Taking taylor expansion of (exp (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1)))))) in phi2 * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))))) in phi2 * [misc]backup-simplify: Simplify (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))))) 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 phi2) (sin phi1)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))))))) in phi2 * [misc]taylor: Taking taylor expansion of (exp (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1)))))) in phi2 * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))))) in phi2 * [misc]backup-simplify: Simplify (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))))) 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 phi1 * [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 phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (acos (+ (* (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 phi2)) (sin (/ 1 phi1))) (* (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in (phi2 phi1 lambda1 lambda2) around 0 * [misc]taylor: Taking taylor expansion of (log (exp (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))) in lambda2 * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))) in lambda2 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (cos (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda2))))) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (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))))) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (/ 1 lambda1))))))))) into (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi1)) (sin (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))))))) * [misc]backup-simplify: Simplify (log (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi1)) (sin (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi1)) (sin (/ 1 lambda1)))))))) * [misc]taylor: Taking taylor expansion of (log (exp (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 * [misc]taylor: Taking taylor expansion of (exp (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))) in lambda1 * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))) in lambda1 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (cos (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda2))))) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (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))))) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (/ 1 lambda1))))))))) into (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi1)) (sin (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))))))) * [misc]backup-simplify: Simplify (log (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi1)) (sin (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi1)) (sin (/ 1 lambda1)))))))) * [misc]taylor: Taking taylor expansion of (log (exp (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 * [misc]taylor: Taking taylor expansion of (exp (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))) in phi1 * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))) in phi1 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (cos (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda2))))) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (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))))) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (/ 1 lambda1))))))))) into (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi1)) (sin (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))))))) * [misc]backup-simplify: Simplify (log (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi1)) (sin (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi1)) (sin (/ 1 lambda1)))))))) * [misc]taylor: Taking taylor expansion of (log (exp (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 * [misc]taylor: Taking taylor expansion of (exp (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))) in phi2 * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))) in phi2 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (cos (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda2))))) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (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))))) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (/ 1 lambda1))))))))) into (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi1)) (sin (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))))))) * [misc]backup-simplify: Simplify (log (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi1)) (sin (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi1)) (sin (/ 1 lambda1)))))))) * [misc]taylor: Taking taylor expansion of (log (exp (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 * [misc]taylor: Taking taylor expansion of (exp (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))) in phi2 * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))) in phi2 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (cos (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda2))))) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (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))))) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (/ 1 lambda1))))))))) into (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi1)) (sin (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))))))) * [misc]backup-simplify: Simplify (log (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi1)) (sin (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi1)) (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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi1)) (sin (/ 1 lambda1)))))))) in phi1 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi1)) (sin (/ 1 lambda1)))))))) into (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (/ 1 lambda1))))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (/ 1 lambda1))))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in lambda1 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (/ 1 lambda1))))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi1)) (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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi1)) (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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi1)) (sin (/ 1 lambda1)))))))) into (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (/ 1 lambda1))))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (/ 1 lambda1))))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi1)) (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))))) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (/ 1 lambda1))))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi1)) (sin (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))))))) 1)))) 1) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda2))))) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (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 (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi1)) (sin (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi1)) (sin (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))))))) 1)))) 2) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ 1 (/ 1 phi1))) (sin (/ 1 (/ 1 phi2)))) (+ (* (cos (/ 1 (/ 1 lambda1))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 phi1))) (cos (/ 1 (/ 1 lambda2)))))) (* (cos (/ 1 (/ 1 phi2))) (* (sin (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 phi1))) (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 (- phi2))) (sin (/ 1 (- phi1)))) (* (+ (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- lambda2))) (cos (/ 1 (- lambda1))))) (* (cos (/ 1 (- phi2))) (cos (/ 1 (- phi1))))))))) in (phi2 phi1 lambda1 lambda2) around 0 * [misc]taylor: Taking taylor expansion of (log (exp (acos (+ (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) (* (+ (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- lambda2))) (cos (/ 1 (- lambda1))))) (* (cos (/ 1 (- phi2))) (cos (/ 1 (- phi1))))))))) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (acos (+ (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) (* (+ (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- lambda2))) (cos (/ 1 (- lambda1))))) (* (cos (/ 1 (- phi2))) (cos (/ 1 (- phi1)))))))) in lambda2 * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) (* (+ (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- lambda2))) (cos (/ 1 (- lambda1))))) (* (cos (/ 1 (- phi2))) (cos (/ 1 (- phi1))))))) in lambda2 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) (* (+ (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- lambda2))) (cos (/ 1 (- lambda1))))) (* (cos (/ 1 (- phi2))) (cos (/ 1 (- phi1))))))) into (acos (+ (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) * [misc]backup-simplify: Simplify (exp (acos (+ (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) into (exp (acos (+ (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))) (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) * [misc]backup-simplify: Simplify (log (exp (acos (+ (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))) (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))))) into (acos (+ (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) * [misc]taylor: Taking taylor expansion of (log (exp (acos (+ (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) (* (+ (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- lambda2))) (cos (/ 1 (- lambda1))))) (* (cos (/ 1 (- phi2))) (cos (/ 1 (- phi1))))))))) in lambda1 * [misc]taylor: Taking taylor expansion of (exp (acos (+ (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) (* (+ (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- lambda2))) (cos (/ 1 (- lambda1))))) (* (cos (/ 1 (- phi2))) (cos (/ 1 (- phi1)))))))) in lambda1 * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) (* (+ (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- lambda2))) (cos (/ 1 (- lambda1))))) (* (cos (/ 1 (- phi2))) (cos (/ 1 (- phi1))))))) in lambda1 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) (* (+ (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- lambda2))) (cos (/ 1 (- lambda1))))) (* (cos (/ 1 (- phi2))) (cos (/ 1 (- phi1))))))) into (acos (+ (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) * [misc]backup-simplify: Simplify (exp (acos (+ (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) into (exp (acos (+ (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))) (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) * [misc]backup-simplify: Simplify (log (exp (acos (+ (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))) (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))))) into (acos (+ (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) * [misc]taylor: Taking taylor expansion of (log (exp (acos (+ (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) (* (+ (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- lambda2))) (cos (/ 1 (- lambda1))))) (* (cos (/ 1 (- phi2))) (cos (/ 1 (- phi1))))))))) in phi1 * [misc]taylor: Taking taylor expansion of (exp (acos (+ (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) (* (+ (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- lambda2))) (cos (/ 1 (- lambda1))))) (* (cos (/ 1 (- phi2))) (cos (/ 1 (- phi1)))))))) in phi1 * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) (* (+ (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- lambda2))) (cos (/ 1 (- lambda1))))) (* (cos (/ 1 (- phi2))) (cos (/ 1 (- phi1))))))) in phi1 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) (* (+ (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- lambda2))) (cos (/ 1 (- lambda1))))) (* (cos (/ 1 (- phi2))) (cos (/ 1 (- phi1))))))) into (acos (+ (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) * [misc]backup-simplify: Simplify (exp (acos (+ (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) into (exp (acos (+ (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))) (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) * [misc]backup-simplify: Simplify (log (exp (acos (+ (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))) (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))))) into (acos (+ (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) * [misc]taylor: Taking taylor expansion of (log (exp (acos (+ (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) (* (+ (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- lambda2))) (cos (/ 1 (- lambda1))))) (* (cos (/ 1 (- phi2))) (cos (/ 1 (- phi1))))))))) in phi2 * [misc]taylor: Taking taylor expansion of (exp (acos (+ (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) (* (+ (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- lambda2))) (cos (/ 1 (- lambda1))))) (* (cos (/ 1 (- phi2))) (cos (/ 1 (- phi1)))))))) in phi2 * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) (* (+ (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- lambda2))) (cos (/ 1 (- lambda1))))) (* (cos (/ 1 (- phi2))) (cos (/ 1 (- phi1))))))) in phi2 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) (* (+ (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- lambda2))) (cos (/ 1 (- lambda1))))) (* (cos (/ 1 (- phi2))) (cos (/ 1 (- phi1))))))) into (acos (+ (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) * [misc]backup-simplify: Simplify (exp (acos (+ (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) into (exp (acos (+ (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))) (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) * [misc]backup-simplify: Simplify (log (exp (acos (+ (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))) (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))))) into (acos (+ (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) * [misc]taylor: Taking taylor expansion of (log (exp (acos (+ (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) (* (+ (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- lambda2))) (cos (/ 1 (- lambda1))))) (* (cos (/ 1 (- phi2))) (cos (/ 1 (- phi1))))))))) in phi2 * [misc]taylor: Taking taylor expansion of (exp (acos (+ (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) (* (+ (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- lambda2))) (cos (/ 1 (- lambda1))))) (* (cos (/ 1 (- phi2))) (cos (/ 1 (- phi1)))))))) in phi2 * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) (* (+ (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- lambda2))) (cos (/ 1 (- lambda1))))) (* (cos (/ 1 (- phi2))) (cos (/ 1 (- phi1))))))) in phi2 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) (* (+ (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- lambda2))) (cos (/ 1 (- lambda1))))) (* (cos (/ 1 (- phi2))) (cos (/ 1 (- phi1))))))) into (acos (+ (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) * [misc]backup-simplify: Simplify (exp (acos (+ (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) into (exp (acos (+ (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))) (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) * [misc]backup-simplify: Simplify (log (exp (acos (+ (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))) (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))))) into (acos (+ (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))) (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))) (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))) (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda2 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))) (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))) (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) * [misc]backup-simplify: Simplify (* (exp (acos (+ (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (acos (+ (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))) (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) 1)))) 1) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [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 lambda1)) (* (cos (/ -1 phi2)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (acos (+ (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))) (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (acos (+ (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))) (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) 1)))) 2) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (* (cos (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- lambda2))))))) (+ (* (sin (/ -1 (/ 1 (- phi2)))) (sin (/ -1 (/ 1 (- phi1))))) (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (cos (/ -1 (/ 1 (- lambda2)))))))))) into (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos phi2) (* (cos phi1) (* (sin lambda2) (sin lambda1)))) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (exp (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1)))))) in (phi2 phi1 lambda1 lambda2) around 0 * [misc]taylor: Taking taylor expansion of (exp (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1)))))) in lambda2 * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))))) in lambda2 * [misc]backup-simplify: Simplify (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))))) 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 phi2) (sin phi1)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1)))))) in lambda1 * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))))) in lambda1 * [misc]backup-simplify: Simplify (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))))) 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 phi2) (sin phi1)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1)))))) in phi1 * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))))) in phi1 * [misc]backup-simplify: Simplify (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))))) 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 phi2) (sin phi1)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1)))))) in phi2 * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))))) in phi2 * [misc]backup-simplify: Simplify (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))))) 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 phi2) (sin phi1)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1)))))) in phi2 * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))))) in phi2 * [misc]backup-simplify: Simplify (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))))) 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 phi1 * [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 phi1 * [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 phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (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 phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (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 phi2)) (sin (/ 1 phi1))) (* (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))) in (phi2 phi1 lambda1 lambda2) around 0 * [misc]taylor: Taking taylor expansion of (exp (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))) in lambda2 * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))) in lambda2 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (cos (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda2))))) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (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))))) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (/ 1 lambda1))))))))) into (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi1)) (sin (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))))))) * [misc]taylor: Taking taylor expansion of (exp (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))) in lambda1 * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))) in lambda1 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (cos (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda2))))) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (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))))) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (/ 1 lambda1))))))))) into (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi1)) (sin (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))))))) * [misc]taylor: Taking taylor expansion of (exp (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))) in phi1 * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))) in phi1 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (cos (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda2))))) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (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))))) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (/ 1 lambda1))))))))) into (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi1)) (sin (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))))))) * [misc]taylor: Taking taylor expansion of (exp (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))) in phi2 * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))) in phi2 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (cos (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda2))))) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (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))))) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (/ 1 lambda1))))))))) into (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi1)) (sin (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))))))) * [misc]taylor: Taking taylor expansion of (exp (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))) in phi2 * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))) in phi2 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (cos (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda2))))) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (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))))) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (/ 1 lambda1))))))))) into (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi1)) (sin (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))))))) * [misc]taylor: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi1)) (sin (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))))))) in phi1 * [misc]taylor: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi1)) (sin (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in phi1 * [misc]backup-simplify: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi1)) (sin (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi1)) (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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi1)) (sin (/ 1 lambda1))))))))) into (exp (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (/ 1 lambda1))))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))))))) * [misc]taylor: Taking taylor expansion of (exp (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (/ 1 lambda1))))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))))))) in lambda1 * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (/ 1 lambda1))))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in lambda1 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (/ 1 lambda1))))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi1)) (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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi1)) (sin (/ 1 lambda1))))))))) into (exp (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (/ 1 lambda1))))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))))))) * [misc]taylor: Taking taylor expansion of (exp (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (/ 1 lambda1))))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))))))) in lambda2 * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (/ 1 lambda1))))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in lambda2 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (/ 1 lambda1))))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi1)) (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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi1)) (sin (/ 1 lambda1))))))))) into (exp (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (/ 1 lambda1))))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))))))) * [misc]backup-simplify: Simplify (exp (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (/ 1 lambda1))))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi1)) (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))))) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (/ 1 lambda1))))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (cos (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda2))))) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi1)) (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 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda2))))) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi1)) (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 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda2))))) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi1)) (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 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda2))))) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (/ 1 lambda1))))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (acos (+ (* (sin (/ 1 (/ 1 phi1))) (sin (/ 1 (/ 1 phi2)))) (+ (* (cos (/ 1 (/ 1 lambda1))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 phi1))) (cos (/ 1 (/ 1 lambda2)))))) (* (cos (/ 1 (/ 1 phi2))) (* (sin (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 phi1))) (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 (- phi2))) (sin (/ 1 (- phi1)))) (* (+ (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- lambda2))) (cos (/ 1 (- lambda1))))) (* (cos (/ 1 (- phi2))) (cos (/ 1 (- phi1)))))))) in (phi2 phi1 lambda1 lambda2) around 0 * [misc]taylor: Taking taylor expansion of (exp (acos (+ (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) (* (+ (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- lambda2))) (cos (/ 1 (- lambda1))))) (* (cos (/ 1 (- phi2))) (cos (/ 1 (- phi1)))))))) in lambda2 * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) (* (+ (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- lambda2))) (cos (/ 1 (- lambda1))))) (* (cos (/ 1 (- phi2))) (cos (/ 1 (- phi1))))))) in lambda2 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) (* (+ (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- lambda2))) (cos (/ 1 (- lambda1))))) (* (cos (/ 1 (- phi2))) (cos (/ 1 (- phi1))))))) into (acos (+ (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) * [misc]backup-simplify: Simplify (exp (acos (+ (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) into (exp (acos (+ (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))) (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) * [misc]taylor: Taking taylor expansion of (exp (acos (+ (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) (* (+ (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- lambda2))) (cos (/ 1 (- lambda1))))) (* (cos (/ 1 (- phi2))) (cos (/ 1 (- phi1)))))))) in lambda1 * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) (* (+ (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- lambda2))) (cos (/ 1 (- lambda1))))) (* (cos (/ 1 (- phi2))) (cos (/ 1 (- phi1))))))) in lambda1 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) (* (+ (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- lambda2))) (cos (/ 1 (- lambda1))))) (* (cos (/ 1 (- phi2))) (cos (/ 1 (- phi1))))))) into (acos (+ (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) * [misc]backup-simplify: Simplify (exp (acos (+ (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) into (exp (acos (+ (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))) (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) * [misc]taylor: Taking taylor expansion of (exp (acos (+ (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) (* (+ (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- lambda2))) (cos (/ 1 (- lambda1))))) (* (cos (/ 1 (- phi2))) (cos (/ 1 (- phi1)))))))) in phi1 * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) (* (+ (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- lambda2))) (cos (/ 1 (- lambda1))))) (* (cos (/ 1 (- phi2))) (cos (/ 1 (- phi1))))))) in phi1 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) (* (+ (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- lambda2))) (cos (/ 1 (- lambda1))))) (* (cos (/ 1 (- phi2))) (cos (/ 1 (- phi1))))))) into (acos (+ (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) * [misc]backup-simplify: Simplify (exp (acos (+ (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) into (exp (acos (+ (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))) (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) * [misc]taylor: Taking taylor expansion of (exp (acos (+ (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) (* (+ (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- lambda2))) (cos (/ 1 (- lambda1))))) (* (cos (/ 1 (- phi2))) (cos (/ 1 (- phi1)))))))) in phi2 * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) (* (+ (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- lambda2))) (cos (/ 1 (- lambda1))))) (* (cos (/ 1 (- phi2))) (cos (/ 1 (- phi1))))))) in phi2 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) (* (+ (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- lambda2))) (cos (/ 1 (- lambda1))))) (* (cos (/ 1 (- phi2))) (cos (/ 1 (- phi1))))))) into (acos (+ (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) * [misc]backup-simplify: Simplify (exp (acos (+ (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) into (exp (acos (+ (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))) (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) * [misc]taylor: Taking taylor expansion of (exp (acos (+ (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) (* (+ (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- lambda2))) (cos (/ 1 (- lambda1))))) (* (cos (/ 1 (- phi2))) (cos (/ 1 (- phi1)))))))) in phi2 * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) (* (+ (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- lambda2))) (cos (/ 1 (- lambda1))))) (* (cos (/ 1 (- phi2))) (cos (/ 1 (- phi1))))))) in phi2 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) (* (+ (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- lambda2))) (cos (/ 1 (- lambda1))))) (* (cos (/ 1 (- phi2))) (cos (/ 1 (- phi1))))))) into (acos (+ (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) * [misc]backup-simplify: Simplify (exp (acos (+ (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) into (exp (acos (+ (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))) (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) * [misc]taylor: Taking taylor expansion of (exp (acos (+ (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))) (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in phi1 * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))) (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))) (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) * [misc]backup-simplify: Simplify (exp (acos (+ (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) into (exp (acos (+ (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))) (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) * [misc]taylor: Taking taylor expansion of (exp (acos (+ (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))) (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in lambda1 * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))) (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))) (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) * [misc]backup-simplify: Simplify (exp (acos (+ (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) into (exp (acos (+ (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))) (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) * [misc]taylor: Taking taylor expansion of (exp (acos (+ (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))) (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in lambda2 * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))) (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))) (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) * [misc]backup-simplify: Simplify (exp (acos (+ (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) into (exp (acos (+ (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))) (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) * [misc]backup-simplify: Simplify (exp (acos (+ (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))) (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) into (exp (acos (+ (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) * [misc]backup-simplify: Simplify (* (exp (acos (+ (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (acos (+ (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (acos (+ (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (acos (+ (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (acos (+ (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (acos (+ (* (sin (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (* (cos (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- lambda2))))))) (+ (* (sin (/ -1 (/ 1 (- phi2)))) (sin (/ -1 (/ 1 (- phi1))))) (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (cos (/ -1 (/ 1 (- lambda2))))))))))) into (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos phi2) (* (cos phi1) (* (sin lambda2) (sin lambda1)))) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2)))))))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1 1 1 1) * [misc]approximate: Taking taylor expansion of (* (sin phi2) (sin phi1)) in (phi2 phi1) around 0 * [misc]taylor: Taking taylor expansion of (* (sin phi2) (sin phi1)) in phi1 * [misc]taylor: Taking taylor expansion of (sin phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (sin phi2) into (sin phi2) * [misc]backup-simplify: Simplify (cos phi2) into (cos phi2) * [misc]taylor: Taking taylor expansion of (sin phi1) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (sin phi2) (sin phi1)) in phi2 * [misc]taylor: Taking taylor expansion of (sin phi2) in phi2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sin phi1) in phi2 * [misc]taylor: Taking taylor expansion of phi1 in phi2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (sin phi1) into (sin phi1) * [misc]backup-simplify: Simplify (cos phi1) into (cos phi1) * [misc]taylor: Taking taylor expansion of (* (sin phi2) (sin phi1)) in phi2 * [misc]taylor: Taking taylor expansion of (sin phi2) in phi2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sin phi1) in phi2 * [misc]taylor: Taking taylor expansion of phi1 in phi2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (sin phi1) into (sin phi1) * [misc]backup-simplify: Simplify (cos phi1) into (cos phi1) * [misc]backup-simplify: Simplify (* (sin phi1) 1) into (sin phi1) * [misc]backup-simplify: Simplify (* (cos phi1) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin phi1) 0) into (sin phi1) * [misc]backup-simplify: Simplify (* 0 (sin phi1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin phi1) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos phi1) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (sin phi1))) into (sin phi1) * [misc]taylor: Taking taylor expansion of (sin phi1) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 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 phi1) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos phi1) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin phi1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 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 phi1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos phi1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* (- 1/6) (sin phi1))))) into (- (* 1/6 (sin phi1))) * [misc]taylor: Taking taylor expansion of (- (* 1/6 (sin phi1))) in phi1 * [misc]taylor: Taking taylor expansion of (* 1/6 (sin phi1)) in phi1 * [misc]taylor: Taking taylor expansion of 1/6 in phi1 * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (sin phi1) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/6 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 phi1) 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 phi1) 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 phi1)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* phi1 phi2)) into (* phi1 phi2) * [misc]approximate: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in (phi2 phi1) around 0 * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi1 * [misc]taylor: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]backup-simplify: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) * [misc]backup-simplify: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi2 * [misc]taylor: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi2 * [misc]taylor: Taking taylor expansion of phi1 in phi2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]backup-simplify: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) * [misc]backup-simplify: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi2 * [misc]taylor: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi2 * [misc]taylor: Taking taylor expansion of phi1 in phi2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]backup-simplify: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) * [misc]backup-simplify: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) * [misc]backup-simplify: Simplify (* (sin (/ 1 phi1)) 1) into (sin (/ 1 phi1)) * [misc]backup-simplify: Simplify (* (cos (/ 1 phi1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 phi1)) 0) into (sin (/ 1 phi1)) * [misc]backup-simplify: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi1)) (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]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]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 phi1)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 phi1)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 (sin (/ 1 phi1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 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]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 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]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 phi1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (sin (/ 1 (/ 1 phi1))) (sin (/ 1 (/ 1 phi2)))) into (* (sin phi1) (sin phi2)) * [misc]approximate: Taking taylor expansion of (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) in (phi2 phi1) around 0 * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) in phi1 * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- phi2))) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi2)) in phi1 * [misc]taylor: Taking taylor expansion of (- phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (/ 1 (- phi2)) into (/ -1 phi2) * [misc]backup-simplify: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) * [misc]backup-simplify: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- phi1))) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi1)) in phi1 * [misc]taylor: Taking taylor expansion of (- phi1) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- phi1))) into (sin (/ -1 phi1)) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) in phi2 * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- phi2))) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi2)) in phi2 * [misc]taylor: Taking taylor expansion of (- phi2) in phi2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- phi2))) into (sin (/ -1 phi2)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- phi1))) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi1)) in phi2 * [misc]taylor: Taking taylor expansion of (- phi1) in phi2 * [misc]taylor: Taking taylor expansion of phi1 in phi2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (/ 1 (- phi1)) into (/ -1 phi1) * [misc]backup-simplify: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) * [misc]backup-simplify: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) in phi2 * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- phi2))) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi2)) in phi2 * [misc]taylor: Taking taylor expansion of (- phi2) in phi2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- phi2))) into (sin (/ -1 phi2)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- phi1))) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi1)) in phi2 * [misc]taylor: Taking taylor expansion of (- phi1) in phi2 * [misc]taylor: Taking taylor expansion of phi1 in phi2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (/ 1 (- phi1)) into (/ -1 phi1) * [misc]backup-simplify: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) * [misc]backup-simplify: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) * [misc]backup-simplify: Simplify (* (sin (/ -1 phi1)) 1) into (sin (/ -1 phi1)) * [misc]backup-simplify: Simplify (* (cos (/ -1 phi1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 phi1)) 0) into (sin (/ -1 phi1)) * [misc]backup-simplify: Simplify (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) * [misc]taylor: Taking taylor expansion of (* (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 -1 in phi1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) * [misc]taylor: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 * [misc]taylor: Taking taylor expansion of (/ -1 phi2) in phi1 * [misc]taylor: Taking taylor expansion of -1 in phi1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ -1 phi2) into (/ -1 phi2) * [misc]backup-simplify: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) * [misc]backup-simplify: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) * [misc]backup-simplify: Simplify (* (sin (/ -1 phi2)) 1) into (sin (/ -1 phi2)) * [misc]backup-simplify: Simplify (* (cos (/ -1 phi2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 phi2)) 0) into (sin (/ -1 phi2)) * [misc]backup-simplify: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) * [misc]backup-simplify: Simplify (* (sin (/ -1 phi2)) (sin (/ -1 phi1))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi1) (/ 0 (- phi1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 phi2)) 0) (* 0 (sin (/ -1 phi1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 phi2)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 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 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi1) (/ 0 (- phi1))) (* 0 (/ 0 (- phi1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi1))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 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 phi1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi1) (/ 0 (- phi1))) (* 0 (/ 0 (- phi1))) (* 0 (/ 0 (- phi1))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 phi1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 phi1)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) into (* (sin phi1) (sin phi2)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI 2) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ PI 2) * [exit]simplify: Simplified to (/ PI 2) * [enter]simplify: Simplifying (asin (+ (* (sin phi2) (sin phi1)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (176 enodes) * * [misc]simplify: iters left: 1 (240 enodes) * [exit]simplify: Simplified to (asin (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))) * [exit]simplify: Simplified to (asin (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))) * * * * [misc]progress: [ 2 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (log (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (177 enodes) * * [misc]simplify: iters left: 1 (241 enodes) * [exit]simplify: Simplified to (log (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1)))))) * [exit]simplify: Simplified to (log (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1)))))) * * * * [misc]progress: [ 4 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (177 enodes) * * [misc]simplify: iters left: 1 (241 enodes) * [exit]simplify: Simplified to (exp (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1)))))) * [exit]simplify: Simplified to (exp (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1)))))) * * * * [misc]progress: [ 5 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1)))))) (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (178 enodes) * * [misc]simplify: iters left: 1 (242 enodes) * [exit]simplify: Simplified to (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1)))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))))) * [exit]simplify: Simplified to (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1)))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))))) * [enter]simplify: Simplifying (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (177 enodes) * * [misc]simplify: iters left: 1 (241 enodes) * [exit]simplify: Simplified to (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1)))))) * [exit]simplify: Simplified to (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1)))))) * * * * [misc]progress: [ 6 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))))) (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1)))))) (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (181 enodes) * * [misc]simplify: iters left: 1 (245 enodes) * [exit]simplify: Simplified to (pow (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))) 3) * [exit]simplify: Simplified to (pow (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))) 3) * * * * [misc]progress: [ 7 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (177 enodes) * * [misc]simplify: iters left: 1 (241 enodes) * [exit]simplify: Simplified to (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1)))))) * [exit]simplify: Simplified to (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1)))))) * [enter]simplify: Simplifying (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (177 enodes) * * [misc]simplify: iters left: 1 (241 enodes) * [exit]simplify: Simplified to (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1)))))) * [exit]simplify: Simplified to (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1)))))) * * * * [misc]progress: [ 8 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cbrt (exp (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))))))) (cbrt (exp (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (182 enodes) * * [misc]simplify: iters left: 1 (246 enodes) * [exit]simplify: Simplified to (+ (log (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1)))))))) (log (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))))))) * [exit]simplify: Simplified to (+ (log (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1)))))))) (log (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))))))) * [enter]simplify: Simplifying (log (cbrt (exp (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1)))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (178 enodes) * * [misc]simplify: iters left: 1 (242 enodes) * [exit]simplify: Simplified to (log (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1)))))))) * [exit]simplify: Simplified to (log (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1)))))))) * * * * [misc]progress: [ 10 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (exp (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1)))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (178 enodes) * * [misc]simplify: iters left: 1 (242 enodes) * [exit]simplify: Simplified to (log (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1)))))))) * [exit]simplify: Simplified to (log (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1)))))))) * [enter]simplify: Simplifying (log (sqrt (exp (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1)))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (178 enodes) * * [misc]simplify: iters left: 1 (242 enodes) * [exit]simplify: Simplified to (log (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1)))))))) * [exit]simplify: Simplified to (log (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1)))))))) * * * * [misc]progress: [ 11 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (log 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (log 1) * [exit]simplify: Simplified to (log 1) * [enter]simplify: Simplifying (log (exp (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (178 enodes) * * [misc]simplify: iters left: 1 (242 enodes) * [exit]simplify: Simplified to (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))) * [exit]simplify: Simplified to (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))) * * * * [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) * [exit]simplify: Simplified to (/ PI 2) * [enter]simplify: Simplifying (log (exp (asin (+ (* (sin phi2) (sin phi1)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (178 enodes) * * [misc]simplify: iters left: 1 (242 enodes) * [exit]simplify: Simplified to (asin (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))) * [exit]simplify: Simplified to (asin (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))) * * * * [misc]progress: [ 13 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (log (exp (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (178 enodes) * * [misc]simplify: iters left: 1 (242 enodes) * [exit]simplify: Simplified to (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))) * [exit]simplify: Simplified to (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))) * * * * [misc]progress: [ 14 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (log (exp (* (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1)))))) (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (186 enodes) * * [misc]simplify: iters left: 1 (250 enodes) * [exit]simplify: Simplified to (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1)))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))))) * [exit]simplify: Simplified to (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1)))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))))) * * * * [misc]progress: [ 15 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (log (exp (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1)))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (178 enodes) * * [misc]simplify: iters left: 1 (242 enodes) * [exit]simplify: Simplified to (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1)))))) * [exit]simplify: Simplified to (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1)))))) * * * * [misc]progress: [ 16 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (log (exp 1)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * * * * [misc]progress: [ 17 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (log (log (exp (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1)))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (178 enodes) * * [misc]simplify: iters left: 1 (242 enodes) * [exit]simplify: Simplified to (log (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1)))))) * [exit]simplify: Simplified to (log (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1)))))) * * * * [misc]progress: [ 20 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (log (exp (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1)))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (178 enodes) * * [misc]simplify: iters left: 1 (242 enodes) * [exit]simplify: Simplified to (exp (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1)))))) * [exit]simplify: Simplified to (exp (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1)))))) * * * * [misc]progress: [ 21 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (log (exp (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1)))))))) (cbrt (log (exp (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (179 enodes) * * [misc]simplify: iters left: 1 (243 enodes) * [exit]simplify: Simplified to (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1)))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))))) * [exit]simplify: Simplified to (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1)))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))))) * [enter]simplify: Simplifying (cbrt (log (exp (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1)))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (178 enodes) * * [misc]simplify: iters left: 1 (242 enodes) * [exit]simplify: Simplified to (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1)))))) * [exit]simplify: Simplified to (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1)))))) * * * * [misc]progress: [ 22 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (log (exp (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))))))) (log (exp (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1)))))))) (log (exp (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1)))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (107 enodes) * * [misc]simplify: iters left: 2 (183 enodes) * * [misc]simplify: iters left: 1 (251 enodes) * [exit]simplify: Simplified to (pow (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))) 3) * [exit]simplify: Simplified to (pow (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))) 3) * * * * [misc]progress: [ 23 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log (exp (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1)))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (178 enodes) * * [misc]simplify: iters left: 1 (242 enodes) * [exit]simplify: Simplified to (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1)))))) * [exit]simplify: Simplified to (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1)))))) * [enter]simplify: Simplifying (sqrt (log (exp (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1)))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (178 enodes) * * [misc]simplify: iters left: 1 (242 enodes) * [exit]simplify: Simplified to (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1)))))) * [exit]simplify: Simplified to (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1)))))) * * * * [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 phi2) (sin phi1)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1)))))) (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1)))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (181 enodes) * * [misc]simplify: iters left: 1 (245 enodes) * [exit]simplify: Simplified to (exp (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1)))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1)))))))) * [exit]simplify: Simplified to (exp (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1)))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1)))))))) * * * * [misc]progress: [ 27 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (178 enodes) * * [misc]simplify: iters left: 1 (242 enodes) * [exit]simplify: Simplified to (exp (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))))) * [exit]simplify: Simplified to (exp (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))))) * * * * [misc]progress: [ 28 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (exp 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to E * [exit]simplify: Simplified to E * * * * [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)) * [exit]simplify: Simplified to (sqrt (exp PI)) * [enter]simplify: Simplifying (exp (asin (+ (* (sin phi2) (sin phi1)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (177 enodes) * * [misc]simplify: iters left: 1 (241 enodes) * [exit]simplify: Simplified to (exp (asin (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1)))))) * [exit]simplify: Simplified to (exp (asin (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1)))))) * * * * [misc]progress: [ 30 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (log (exp (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (178 enodes) * * [misc]simplify: iters left: 1 (242 enodes) * [exit]simplify: Simplified to (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))) * [exit]simplify: Simplified to (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))) * * * * [misc]progress: [ 32 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (exp (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (178 enodes) * * [misc]simplify: iters left: 1 (242 enodes) * [exit]simplify: Simplified to (exp (exp (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))))) * [exit]simplify: Simplified to (exp (exp (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))))) * * * * [misc]progress: [ 33 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (exp (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))))))) (cbrt (exp (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1)))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (178 enodes) * * [misc]simplify: iters left: 1 (242 enodes) * [exit]simplify: Simplified to (* (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))))) (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1)))))))) * [exit]simplify: Simplified to (* (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))))) (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1)))))))) * [enter]simplify: Simplifying (cbrt (exp (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (178 enodes) * * [misc]simplify: iters left: 1 (242 enodes) * [exit]simplify: Simplified to (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))))) * [exit]simplify: Simplified to (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))))) * * * * [misc]progress: [ 34 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (exp (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1)))))) (exp (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))))))) (exp (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (186 enodes) * * [misc]simplify: iters left: 1 (250 enodes) * [exit]simplify: Simplified to (pow (exp (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1)))))) 3) * [exit]simplify: Simplified to (pow (exp (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1)))))) 3) * * * * [misc]progress: [ 35 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (exp (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (178 enodes) * * [misc]simplify: iters left: 1 (242 enodes) * [exit]simplify: Simplified to (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))))) * [exit]simplify: Simplified to (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))))) * [enter]simplify: Simplifying (sqrt (exp (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (178 enodes) * * [misc]simplify: iters left: 1 (242 enodes) * [exit]simplify: Simplified to (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))))) * [exit]simplify: Simplified to (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))))) * * * * [misc]progress: [ 36 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (- (cos (- phi2 phi1)) (cos (+ phi2 phi1))) * * [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 (- phi2 phi1)) (cos (+ phi1 phi2))) * [exit]simplify: Simplified to (- (cos (- phi2 phi1)) (cos (+ phi1 phi2))) * * * * [misc]progress: [ 38 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin phi2) (sin phi1)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (* (sin phi1) (sin phi2)) * [exit]simplify: Simplified to (* (sin phi1) (sin phi2)) * * * * [misc]progress: [ 39 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (sin phi2)) (log (sin phi1))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (+ (log (sin phi2)) (log (sin phi1))) * [exit]simplify: Simplified to (+ (log (sin phi2)) (log (sin phi1))) * * * * [misc]progress: [ 41 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (sin phi2) (sin phi1))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * [exit]simplify: Simplified to (log (* (sin phi1) (sin phi2))) * [exit]simplify: Simplified to (log (* (sin phi1) (sin phi2))) * * * * [misc]progress: [ 42 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (sin phi2) (sin phi1))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (exp (* (sin phi1) (sin phi2))) * [exit]simplify: Simplified to (exp (* (sin phi1) (sin phi2))) * * * * [misc]progress: [ 43 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (sin phi2) (sin phi2)) (sin phi2)) (* (* (sin phi1) (sin phi1)) (sin phi1))) * * [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 phi1) (sin phi2)) 3) * [exit]simplify: Simplified to (pow (* (sin phi1) (sin phi2)) 3) * * * * [misc]progress: [ 44 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sin phi2) (sin phi1))) (cbrt (* (sin phi2) (sin phi1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) * [exit]simplify: Simplified to (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) * [enter]simplify: Simplifying (cbrt (* (sin phi2) (sin phi1))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (cbrt (* (sin phi1) (sin phi2))) * [exit]simplify: Simplified to (cbrt (* (sin phi1) (sin phi2))) * * * * [misc]progress: [ 45 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (sin phi2) (sin phi1)) (* (sin phi2) (sin phi1))) (* (sin phi2) (sin phi1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (90 enodes) * [exit]simplify: Simplified to (pow (* (sin phi1) (sin phi2)) 3) * [exit]simplify: Simplified to (pow (* (sin phi1) (sin phi2)) 3) * * * * [misc]progress: [ 46 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (sin phi2) (sin phi1))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (sqrt (* (sin phi1) (sin phi2))) * [exit]simplify: Simplified to (sqrt (* (sin phi1) (sin phi2))) * [enter]simplify: Simplifying (sqrt (* (sin phi2) (sin phi1))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (sqrt (* (sin phi1) (sin phi2))) * [exit]simplify: Simplified to (sqrt (* (sin phi1) (sin phi2))) * * * * [misc]progress: [ 47 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin phi2) (* (cbrt (sin phi1)) (cbrt (sin phi1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (* (* (sin phi2) (cbrt (sin phi1))) (cbrt (sin phi1))) * [exit]simplify: Simplified to (* (* (sin phi2) (cbrt (sin phi1))) (cbrt (sin phi1))) * * * * [misc]progress: [ 49 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin phi2) (sqrt (sin phi1))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (* (sin phi2) (sqrt (sin phi1))) * [exit]simplify: Simplified to (* (sin phi2) (sqrt (sin phi1))) * * * * [misc]progress: [ 50 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin phi2) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (9 enodes) * [exit]simplify: Simplified to (sin phi2) * [exit]simplify: Simplified to (sin phi2) * * * * [misc]progress: [ 51 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sin phi2)) (sin phi1)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (* (cbrt (sin phi2)) (sin phi1)) * [exit]simplify: Simplified to (* (cbrt (sin phi2)) (sin phi1)) * * * * [misc]progress: [ 52 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sin phi2)) (sin phi1)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (* (sqrt (sin phi2)) (sin phi1)) * [exit]simplify: Simplified to (* (sqrt (sin phi2)) (sin phi1)) * * * * [misc]progress: [ 53 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin phi2) (sin phi1)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (* (sin phi1) (sin phi2)) * [exit]simplify: Simplified to (* (sin phi1) (sin phi2)) * * * * [misc]progress: [ 54 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (exp (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 (26 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (153 enodes) * * [misc]simplify: iters left: 2 (210 enodes) * * [misc]simplify: iters left: 1 (221 enodes) * [exit]simplify: Simplified to (* (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))) (* (sin phi2) (sin phi1)))) R) * * * * [misc]progress: [ 56 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (exp (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 (26 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (153 enodes) * * [misc]simplify: iters left: 2 (210 enodes) * * [misc]simplify: iters left: 1 (221 enodes) * [exit]simplify: Simplified to (* (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))) (* (sin phi2) (sin phi1)))) R) * * * * [misc]progress: [ 57 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos phi2) (* (cos phi1) (* (sin lambda2) (sin lambda1)))) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))))))) R) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (153 enodes) * * [misc]simplify: iters left: 2 (210 enodes) * * [misc]simplify: iters left: 1 (224 enodes) * [exit]simplify: Simplified to (* (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))) 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))))))) R) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (148 enodes) * * [misc]simplify: iters left: 2 (209 enodes) * * [misc]simplify: iters left: 1 (224 enodes) * [exit]simplify: Simplified to (* (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))) (* (sin phi2) (sin phi1)))) 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))))))) R) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (148 enodes) * * [misc]simplify: iters left: 2 (209 enodes) * * [misc]simplify: iters left: 1 (224 enodes) * [exit]simplify: Simplified to (* (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))) (* (sin phi2) (sin phi1)))) R) * * * * [misc]progress: [ 60 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos phi2) (* (cos phi1) (* (sin lambda2) (sin lambda1)))) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))))) R) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (149 enodes) * * [misc]simplify: iters left: 2 (199 enodes) * * [misc]simplify: iters left: 1 (209 enodes) * [exit]simplify: Simplified to (* (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) R) * * * * [misc]progress: [ 61 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (exp (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 (26 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (153 enodes) * * [misc]simplify: iters left: 2 (210 enodes) * * [misc]simplify: iters left: 1 (221 enodes) * [exit]simplify: Simplified to (* (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))) (* (sin phi2) (sin phi1)))) R) * * * * [misc]progress: [ 62 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (exp (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 (26 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (153 enodes) * * [misc]simplify: iters left: 2 (210 enodes) * * [misc]simplify: iters left: 1 (221 enodes) * [exit]simplify: Simplified to (* (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))) (* (sin phi2) (sin phi1)))) R) * * * * [misc]progress: [ 63 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos phi2) (* (cos phi1) (* (sin lambda2) (sin lambda1)))) (* (cos lambda1) (* (cos phi2) (* (cos phi1) (cos lambda2))))))))) R) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (153 enodes) * * [misc]simplify: iters left: 2 (210 enodes) * * [misc]simplify: iters left: 1 (224 enodes) * [exit]simplify: Simplified to (* (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))) R) * * * * [misc]progress: [ 64 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (exp (acos (+ (* phi1 phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))))))) R) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (177 enodes) * * [misc]simplify: iters left: 1 (245 enodes) * [exit]simplify: Simplified to (* (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2)))) (* phi2 phi1))) R) * * * * [misc]progress: [ 65 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))))))) R) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (181 enodes) * * [misc]simplify: iters left: 1 (245 enodes) * [exit]simplify: Simplified to (* (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))) R) * * * * [misc]progress: [ 66 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))))))) R) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (181 enodes) * * [misc]simplify: iters left: 1 (245 enodes) * [exit]simplify: Simplified to (* (acos (+ (* (sin phi2) (sin phi1)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))) R) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 4 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1 2 2 1 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1 2 2 2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1 2 2 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (/ (+ (pow (* (sin lambda1) (sin lambda2)) 3) (pow (* (cos lambda2) (cos lambda1)) 3)) (+ (* (- (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos lambda2) (cos lambda1))) (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1)))))))) in (phi1 phi2 lambda1 lambda2) around 0 * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (/ (+ (pow (* (sin lambda1) (sin lambda2)) 3) (pow (* (cos lambda2) (cos lambda1)) 3)) (+ (* (- (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos lambda2) (cos lambda1))) (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1)))))))) in lambda2 * [misc]backup-simplify: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (/ (+ (pow (* (sin lambda1) (sin lambda2)) 3) (pow (* (cos lambda2) (cos lambda1)) 3)) (+ (* (- (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos lambda2) (cos lambda1))) (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1)))))))) into (acos (+ (* (sin phi1) (sin phi2)) (+ (/ (* (cos phi2) (* (cos phi1) (* (pow (sin lambda2) 3) (pow (sin lambda1) 3)))) (- (+ (* (pow (sin lambda2) 2) (pow (sin lambda1) 2)) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2))) (* (cos lambda1) (* (sin lambda2) (* (sin lambda1) (cos lambda2)))))) (/ (* (pow (cos lambda1) 3) (* (cos phi2) (* (cos phi1) (pow (cos lambda2) 3)))) (- (+ (* (pow (sin lambda2) 2) (pow (sin lambda1) 2)) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2))) (* (cos lambda1) (* (sin lambda2) (* (sin lambda1) (cos lambda2))))))))) * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (/ (+ (pow (* (sin lambda1) (sin lambda2)) 3) (pow (* (cos lambda2) (cos lambda1)) 3)) (+ (* (- (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos lambda2) (cos lambda1))) (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1)))))))) in lambda1 * [misc]backup-simplify: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (/ (+ (pow (* (sin lambda1) (sin lambda2)) 3) (pow (* (cos lambda2) (cos lambda1)) 3)) (+ (* (- (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos lambda2) (cos lambda1))) (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1)))))))) into (acos (+ (* (sin phi1) (sin phi2)) (+ (/ (* (cos phi2) (* (cos phi1) (* (pow (sin lambda2) 3) (pow (sin lambda1) 3)))) (- (+ (* (pow (sin lambda2) 2) (pow (sin lambda1) 2)) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2))) (* (cos lambda1) (* (sin lambda2) (* (sin lambda1) (cos lambda2)))))) (/ (* (pow (cos lambda1) 3) (* (cos phi2) (* (cos phi1) (pow (cos lambda2) 3)))) (- (+ (* (pow (sin lambda2) 2) (pow (sin lambda1) 2)) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2))) (* (cos lambda1) (* (sin lambda2) (* (sin lambda1) (cos lambda2))))))))) * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (/ (+ (pow (* (sin lambda1) (sin lambda2)) 3) (pow (* (cos lambda2) (cos lambda1)) 3)) (+ (* (- (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos lambda2) (cos lambda1))) (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1)))))))) in phi2 * [misc]backup-simplify: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (/ (+ (pow (* (sin lambda1) (sin lambda2)) 3) (pow (* (cos lambda2) (cos lambda1)) 3)) (+ (* (- (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos lambda2) (cos lambda1))) (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1)))))))) into (acos (+ (* (sin phi1) (sin phi2)) (+ (/ (* (cos phi2) (* (cos phi1) (* (pow (sin lambda2) 3) (pow (sin lambda1) 3)))) (- (+ (* (pow (sin lambda2) 2) (pow (sin lambda1) 2)) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2))) (* (cos lambda1) (* (sin lambda2) (* (sin lambda1) (cos lambda2)))))) (/ (* (pow (cos lambda1) 3) (* (cos phi2) (* (cos phi1) (pow (cos lambda2) 3)))) (- (+ (* (pow (sin lambda2) 2) (pow (sin lambda1) 2)) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2))) (* (cos lambda1) (* (sin lambda2) (* (sin lambda1) (cos lambda2))))))))) * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (/ (+ (pow (* (sin lambda1) (sin lambda2)) 3) (pow (* (cos lambda2) (cos lambda1)) 3)) (+ (* (- (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos lambda2) (cos lambda1))) (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1)))))))) in phi1 * [misc]backup-simplify: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (/ (+ (pow (* (sin lambda1) (sin lambda2)) 3) (pow (* (cos lambda2) (cos lambda1)) 3)) (+ (* (- (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos lambda2) (cos lambda1))) (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1)))))))) into (acos (+ (* (sin phi1) (sin phi2)) (+ (/ (* (cos phi2) (* (cos phi1) (* (pow (sin lambda2) 3) (pow (sin lambda1) 3)))) (- (+ (* (pow (sin lambda2) 2) (pow (sin lambda1) 2)) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2))) (* (cos lambda1) (* (sin lambda2) (* (sin lambda1) (cos lambda2)))))) (/ (* (pow (cos lambda1) 3) (* (cos phi2) (* (cos phi1) (pow (cos lambda2) 3)))) (- (+ (* (pow (sin lambda2) 2) (pow (sin lambda1) 2)) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2))) (* (cos lambda1) (* (sin lambda2) (* (sin lambda1) (cos lambda2))))))))) * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (/ (+ (pow (* (sin lambda1) (sin lambda2)) 3) (pow (* (cos lambda2) (cos lambda1)) 3)) (+ (* (- (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos lambda2) (cos lambda1))) (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1)))))))) in phi1 * [misc]backup-simplify: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (/ (+ (pow (* (sin lambda1) (sin lambda2)) 3) (pow (* (cos lambda2) (cos lambda1)) 3)) (+ (* (- (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos lambda2) (cos lambda1))) (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1)))))))) into (acos (+ (* (sin phi1) (sin phi2)) (+ (/ (* (cos phi2) (* (cos phi1) (* (pow (sin lambda2) 3) (pow (sin lambda1) 3)))) (- (+ (* (pow (sin lambda2) 2) (pow (sin lambda1) 2)) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2))) (* (cos lambda1) (* (sin lambda2) (* (sin lambda1) (cos lambda2)))))) (/ (* (pow (cos lambda1) 3) (* (cos phi2) (* (cos phi1) (pow (cos lambda2) 3)))) (- (+ (* (pow (sin lambda2) 2) (pow (sin lambda1) 2)) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2))) (* (cos lambda1) (* (sin lambda2) (* (sin lambda1) (cos lambda2))))))))) * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (/ (* (cos phi2) (* (cos phi1) (* (pow (sin lambda2) 3) (pow (sin lambda1) 3)))) (- (+ (* (pow (sin lambda2) 2) (pow (sin lambda1) 2)) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2))) (* (cos lambda1) (* (sin lambda2) (* (sin lambda1) (cos lambda2)))))) (/ (* (pow (cos lambda1) 3) (* (cos phi2) (* (cos phi1) (pow (cos lambda2) 3)))) (- (+ (* (pow (sin lambda2) 2) (pow (sin lambda1) 2)) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2))) (* (cos lambda1) (* (sin lambda2) (* (sin lambda1) (cos lambda2))))))))) in phi2 * [misc]backup-simplify: Simplify (acos (+ (* (sin phi1) (sin phi2)) (+ (/ (* (cos phi2) (* (cos phi1) (* (pow (sin lambda2) 3) (pow (sin lambda1) 3)))) (- (+ (* (pow (sin lambda2) 2) (pow (sin lambda1) 2)) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2))) (* (cos lambda1) (* (sin lambda2) (* (sin lambda1) (cos lambda2)))))) (/ (* (pow (cos lambda1) 3) (* (cos phi2) (* (cos phi1) (pow (cos lambda2) 3)))) (- (+ (* (pow (sin lambda2) 2) (pow (sin lambda1) 2)) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2))) (* (cos lambda1) (* (sin lambda2) (* (sin lambda1) (cos lambda2))))))))) into (acos (+ (* (sin phi1) (sin phi2)) (+ (/ (* (cos phi2) (* (cos phi1) (* (pow (sin lambda2) 3) (pow (sin lambda1) 3)))) (- (+ (* (pow (sin lambda2) 2) (pow (sin lambda1) 2)) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2))) (* (cos lambda1) (* (sin lambda2) (* (sin lambda1) (cos lambda2)))))) (/ (* (pow (cos lambda1) 3) (* (cos phi2) (* (cos phi1) (pow (cos lambda2) 3)))) (- (+ (* (pow (sin lambda2) 2) (pow (sin lambda1) 2)) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2))) (* (cos lambda1) (* (sin lambda2) (* (sin lambda1) (cos lambda2))))))))) * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (/ (* (cos phi2) (* (cos phi1) (* (pow (sin lambda2) 3) (pow (sin lambda1) 3)))) (- (+ (* (pow (sin lambda2) 2) (pow (sin lambda1) 2)) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2))) (* (cos lambda1) (* (sin lambda2) (* (sin lambda1) (cos lambda2)))))) (/ (* (pow (cos lambda1) 3) (* (cos phi2) (* (cos phi1) (pow (cos lambda2) 3)))) (- (+ (* (pow (sin lambda2) 2) (pow (sin lambda1) 2)) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2))) (* (cos lambda1) (* (sin lambda2) (* (sin lambda1) (cos lambda2))))))))) in lambda1 * [misc]backup-simplify: Simplify (acos (+ (* (sin phi1) (sin phi2)) (+ (/ (* (cos phi2) (* (cos phi1) (* (pow (sin lambda2) 3) (pow (sin lambda1) 3)))) (- (+ (* (pow (sin lambda2) 2) (pow (sin lambda1) 2)) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2))) (* (cos lambda1) (* (sin lambda2) (* (sin lambda1) (cos lambda2)))))) (/ (* (pow (cos lambda1) 3) (* (cos phi2) (* (cos phi1) (pow (cos lambda2) 3)))) (- (+ (* (pow (sin lambda2) 2) (pow (sin lambda1) 2)) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2))) (* (cos lambda1) (* (sin lambda2) (* (sin lambda1) (cos lambda2))))))))) into (acos (+ (* (sin phi1) (sin phi2)) (+ (/ (* (cos phi2) (* (cos phi1) (* (pow (sin lambda2) 3) (pow (sin lambda1) 3)))) (- (+ (* (pow (sin lambda2) 2) (pow (sin lambda1) 2)) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2))) (* (cos lambda1) (* (sin lambda2) (* (sin lambda1) (cos lambda2)))))) (/ (* (pow (cos lambda1) 3) (* (cos phi2) (* (cos phi1) (pow (cos lambda2) 3)))) (- (+ (* (pow (sin lambda2) 2) (pow (sin lambda1) 2)) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2))) (* (cos lambda1) (* (sin lambda2) (* (sin lambda1) (cos lambda2))))))))) * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (/ (* (cos phi2) (* (cos phi1) (* (pow (sin lambda2) 3) (pow (sin lambda1) 3)))) (- (+ (* (pow (sin lambda2) 2) (pow (sin lambda1) 2)) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2))) (* (cos lambda1) (* (sin lambda2) (* (sin lambda1) (cos lambda2)))))) (/ (* (pow (cos lambda1) 3) (* (cos phi2) (* (cos phi1) (pow (cos lambda2) 3)))) (- (+ (* (pow (sin lambda2) 2) (pow (sin lambda1) 2)) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2))) (* (cos lambda1) (* (sin lambda2) (* (sin lambda1) (cos lambda2))))))))) in lambda2 * [misc]backup-simplify: Simplify (acos (+ (* (sin phi1) (sin phi2)) (+ (/ (* (cos phi2) (* (cos phi1) (* (pow (sin lambda2) 3) (pow (sin lambda1) 3)))) (- (+ (* (pow (sin lambda2) 2) (pow (sin lambda1) 2)) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2))) (* (cos lambda1) (* (sin lambda2) (* (sin lambda1) (cos lambda2)))))) (/ (* (pow (cos lambda1) 3) (* (cos phi2) (* (cos phi1) (pow (cos lambda2) 3)))) (- (+ (* (pow (sin lambda2) 2) (pow (sin lambda1) 2)) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2))) (* (cos lambda1) (* (sin lambda2) (* (sin lambda1) (cos lambda2))))))))) into (acos (+ (* (sin phi1) (sin phi2)) (+ (/ (* (cos phi2) (* (cos phi1) (* (pow (sin lambda2) 3) (pow (sin lambda1) 3)))) (- (+ (* (pow (sin lambda2) 2) (pow (sin lambda1) 2)) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2))) (* (cos lambda1) (* (sin lambda2) (* (sin lambda1) (cos lambda2)))))) (/ (* (pow (cos lambda1) 3) (* (cos phi2) (* (cos phi1) (pow (cos lambda2) 3)))) (- (+ (* (pow (sin lambda2) 2) (pow (sin lambda1) 2)) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2))) (* (cos lambda1) (* (sin lambda2) (* (sin lambda1) (cos lambda2))))))))) * [misc]backup-simplify: Simplify (acos (+ (* (sin phi1) (sin phi2)) (+ (/ (* (cos phi2) (* (cos phi1) (* (pow (sin lambda2) 3) (pow (sin lambda1) 3)))) (- (+ (* (pow (sin lambda2) 2) (pow (sin lambda1) 2)) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2))) (* (cos lambda1) (* (sin lambda2) (* (sin lambda1) (cos lambda2)))))) (/ (* (pow (cos lambda1) 3) (* (cos phi2) (* (cos phi1) (pow (cos lambda2) 3)))) (- (+ (* (pow (sin lambda2) 2) (pow (sin lambda1) 2)) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2))) (* (cos lambda1) (* (sin lambda2) (* (sin lambda1) (cos lambda2))))))))) into (acos (+ (* (sin phi1) (sin phi2)) (+ (/ (* (cos phi2) (* (cos phi1) (* (pow (sin lambda2) 3) (pow (sin lambda1) 3)))) (- (+ (* (pow (sin lambda2) 2) (pow (sin lambda1) 2)) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2))) (* (cos lambda1) (* (sin lambda2) (* (sin lambda1) (cos lambda2)))))) (/ (* (pow (cos lambda1) 3) (* (cos phi2) (* (cos phi1) (pow (cos lambda2) 3)))) (- (+ (* (pow (sin lambda2) 2) (pow (sin lambda1) 2)) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2))) (* (cos lambda1) (* (sin lambda2) (* (sin lambda1) (cos 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) (* (pow (sin lambda2) 3) (pow (sin lambda1) 3)))) (- (+ (* (pow (sin lambda2) 2) (pow (sin lambda1) 2)) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2))) (* (cos lambda1) (* (sin lambda2) (* (sin lambda1) (cos lambda2)))))) (/ (* (pow (cos lambda1) 3) (* (cos phi2) (* (cos phi1) (pow (cos lambda2) 3)))) (- (+ (* (pow (sin lambda2) 2) (pow (sin lambda1) 2)) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2))) (* (cos lambda1) (* (sin lambda2) (* (sin lambda1) (cos lambda2))))))))) into (acos (+ (* (sin phi1) (sin phi2)) (+ (/ (* (cos phi2) (* (cos phi1) (* (pow (sin lambda2) 3) (pow (sin lambda1) 3)))) (- (+ (* (pow (sin lambda2) 2) (pow (sin lambda1) 2)) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2))) (* (cos lambda1) (* (sin lambda2) (* (sin lambda1) (cos lambda2)))))) (/ (* (pow (cos lambda1) 3) (* (cos phi2) (* (cos phi1) (pow (cos lambda2) 3)))) (- (+ (* (pow (sin lambda2) 2) (pow (sin lambda1) 2)) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2))) (* (cos lambda1) (* (sin lambda2) (* (sin lambda1) (cos lambda2))))))))) * [misc]approximate: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (/ (+ (pow (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) 3) (pow (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) 3)) (+ (* (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (* (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))))))))) 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))) (/ (+ (pow (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) 3) (pow (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) 3)) (+ (* (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (* (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))))))))) in lambda2 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (/ (+ (pow (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) 3) (pow (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) 3)) (+ (* (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (* (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))))))))) into (acos (+ (/ (* (pow (cos (/ 1 lambda1)) 3) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (pow (cos (/ 1 lambda2)) 3)))) (- (+ (* (pow (cos (/ 1 lambda1)) 2) (pow (cos (/ 1 lambda2)) 2)) (* (pow (sin (/ 1 lambda2)) 2) (pow (sin (/ 1 lambda1)) 2))) (* (sin (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (* (cos (/ 1 lambda2)) (sin (/ 1 lambda1))))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (/ (* (cos (/ 1 phi2)) (* (pow (sin (/ 1 lambda2)) 3) (* (cos (/ 1 phi1)) (pow (sin (/ 1 lambda1)) 3)))) (- (+ (* (pow (cos (/ 1 lambda1)) 2) (pow (cos (/ 1 lambda2)) 2)) (* (pow (sin (/ 1 lambda2)) 2) (pow (sin (/ 1 lambda1)) 2))) (* (sin (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (* (cos (/ 1 lambda2)) (sin (/ 1 lambda1)))))))))) * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (/ (+ (pow (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) 3) (pow (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) 3)) (+ (* (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (* (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))))))))) in lambda1 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (/ (+ (pow (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) 3) (pow (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) 3)) (+ (* (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (* (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))))))))) into (acos (+ (/ (* (pow (cos (/ 1 lambda1)) 3) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (pow (cos (/ 1 lambda2)) 3)))) (- (+ (* (pow (cos (/ 1 lambda1)) 2) (pow (cos (/ 1 lambda2)) 2)) (* (pow (sin (/ 1 lambda2)) 2) (pow (sin (/ 1 lambda1)) 2))) (* (sin (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (* (cos (/ 1 lambda2)) (sin (/ 1 lambda1))))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (/ (* (cos (/ 1 phi2)) (* (pow (sin (/ 1 lambda2)) 3) (* (cos (/ 1 phi1)) (pow (sin (/ 1 lambda1)) 3)))) (- (+ (* (pow (cos (/ 1 lambda1)) 2) (pow (cos (/ 1 lambda2)) 2)) (* (pow (sin (/ 1 lambda2)) 2) (pow (sin (/ 1 lambda1)) 2))) (* (sin (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (* (cos (/ 1 lambda2)) (sin (/ 1 lambda1)))))))))) * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (/ (+ (pow (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) 3) (pow (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) 3)) (+ (* (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (* (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))))))))) in phi2 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (/ (+ (pow (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) 3) (pow (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) 3)) (+ (* (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (* (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))))))))) into (acos (+ (/ (* (pow (cos (/ 1 lambda1)) 3) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (pow (cos (/ 1 lambda2)) 3)))) (- (+ (* (pow (cos (/ 1 lambda1)) 2) (pow (cos (/ 1 lambda2)) 2)) (* (pow (sin (/ 1 lambda2)) 2) (pow (sin (/ 1 lambda1)) 2))) (* (sin (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (* (cos (/ 1 lambda2)) (sin (/ 1 lambda1))))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (/ (* (cos (/ 1 phi2)) (* (pow (sin (/ 1 lambda2)) 3) (* (cos (/ 1 phi1)) (pow (sin (/ 1 lambda1)) 3)))) (- (+ (* (pow (cos (/ 1 lambda1)) 2) (pow (cos (/ 1 lambda2)) 2)) (* (pow (sin (/ 1 lambda2)) 2) (pow (sin (/ 1 lambda1)) 2))) (* (sin (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (* (cos (/ 1 lambda2)) (sin (/ 1 lambda1)))))))))) * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (/ (+ (pow (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) 3) (pow (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) 3)) (+ (* (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (* (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))))))))) in phi1 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (/ (+ (pow (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) 3) (pow (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) 3)) (+ (* (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (* (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))))))))) into (acos (+ (/ (* (pow (cos (/ 1 lambda1)) 3) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (pow (cos (/ 1 lambda2)) 3)))) (- (+ (* (pow (cos (/ 1 lambda1)) 2) (pow (cos (/ 1 lambda2)) 2)) (* (pow (sin (/ 1 lambda2)) 2) (pow (sin (/ 1 lambda1)) 2))) (* (sin (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (* (cos (/ 1 lambda2)) (sin (/ 1 lambda1))))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (/ (* (cos (/ 1 phi2)) (* (pow (sin (/ 1 lambda2)) 3) (* (cos (/ 1 phi1)) (pow (sin (/ 1 lambda1)) 3)))) (- (+ (* (pow (cos (/ 1 lambda1)) 2) (pow (cos (/ 1 lambda2)) 2)) (* (pow (sin (/ 1 lambda2)) 2) (pow (sin (/ 1 lambda1)) 2))) (* (sin (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (* (cos (/ 1 lambda2)) (sin (/ 1 lambda1)))))))))) * [misc]taylor: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (/ (+ (pow (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) 3) (pow (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) 3)) (+ (* (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (* (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))))))))) in phi1 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (/ (+ (pow (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) 3) (pow (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) 3)) (+ (* (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (* (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))))))))) into (acos (+ (/ (* (pow (cos (/ 1 lambda1)) 3) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (pow (cos (/ 1 lambda2)) 3)))) (- (+ (* (pow (cos (/ 1 lambda1)) 2) (pow (cos (/ 1 lambda2)) 2)) (* (pow (sin (/ 1 lambda2)) 2) (pow (sin (/ 1 lambda1)) 2))) (* (sin (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (* (cos (/ 1 lambda2)) (sin (/ 1 lambda1))))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (/ (* (cos (/ 1 phi2)) (* (pow (sin (/ 1 lambda2)) 3) (* (cos (/ 1 phi1)) (pow (sin (/ 1 lambda1)) 3)))) (- (+ (* (pow (cos (/ 1 lambda1)) 2) (pow (cos (/ 1 lambda2)) 2)) (* (pow (sin (/ 1 lambda2)) 2) (pow (sin (/ 1 lambda1)) 2))) (* (sin (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (* (cos (/ 1 lambda2)) (sin (/ 1 lambda1)))))))))) * [misc]taylor: Taking taylor expansion of (acos (+ (/ (* (pow (cos (/ 1 lambda1)) 3) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (pow (cos (/ 1 lambda2)) 3)))) (- (+ (* (pow (cos (/ 1 lambda1)) 2) (pow (cos (/ 1 lambda2)) 2)) (* (pow (sin (/ 1 lambda2)) 2) (pow (sin (/ 1 lambda1)) 2))) (* (sin (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (* (cos (/ 1 lambda2)) (sin (/ 1 lambda1))))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (/ (* (cos (/ 1 phi2)) (* (pow (sin (/ 1 lambda2)) 3) (* (cos (/ 1 phi1)) (pow (sin (/ 1 lambda1)) 3)))) (- (+ (* (pow (cos (/ 1 lambda1)) 2) (pow (cos (/ 1 lambda2)) 2)) (* (pow (sin (/ 1 lambda2)) 2) (pow (sin (/ 1 lambda1)) 2))) (* (sin (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (* (cos (/ 1 lambda2)) (sin (/ 1 lambda1)))))))))) in phi2 * [misc]backup-simplify: Simplify (acos (+ (/ (* (pow (cos (/ 1 lambda1)) 3) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (pow (cos (/ 1 lambda2)) 3)))) (- (+ (* (pow (cos (/ 1 lambda1)) 2) (pow (cos (/ 1 lambda2)) 2)) (* (pow (sin (/ 1 lambda2)) 2) (pow (sin (/ 1 lambda1)) 2))) (* (sin (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (* (cos (/ 1 lambda2)) (sin (/ 1 lambda1))))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (/ (* (cos (/ 1 phi2)) (* (pow (sin (/ 1 lambda2)) 3) (* (cos (/ 1 phi1)) (pow (sin (/ 1 lambda1)) 3)))) (- (+ (* (pow (cos (/ 1 lambda1)) 2) (pow (cos (/ 1 lambda2)) 2)) (* (pow (sin (/ 1 lambda2)) 2) (pow (sin (/ 1 lambda1)) 2))) (* (sin (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (* (cos (/ 1 lambda2)) (sin (/ 1 lambda1)))))))))) into (acos (+ (/ (* (pow (cos (/ 1 lambda1)) 3) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (pow (cos (/ 1 lambda2)) 3)))) (- (+ (* (pow (cos (/ 1 lambda2)) 2) (pow (cos (/ 1 lambda1)) 2)) (* (pow (sin (/ 1 lambda2)) 2) (pow (sin (/ 1 lambda1)) 2))) (* (sin (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (* (cos (/ 1 lambda2)) (sin (/ 1 lambda1))))))) (+ (/ (* (cos (/ 1 phi2)) (* (pow (sin (/ 1 lambda2)) 3) (* (cos (/ 1 phi1)) (pow (sin (/ 1 lambda1)) 3)))) (- (+ (* (pow (cos (/ 1 lambda2)) 2) (pow (cos (/ 1 lambda1)) 2)) (* (pow (sin (/ 1 lambda2)) 2) (pow (sin (/ 1 lambda1)) 2))) (* (sin (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (* (cos (/ 1 lambda2)) (sin (/ 1 lambda1))))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) * [misc]taylor: Taking taylor expansion of (acos (+ (/ (* (pow (cos (/ 1 lambda1)) 3) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (pow (cos (/ 1 lambda2)) 3)))) (- (+ (* (pow (cos (/ 1 lambda2)) 2) (pow (cos (/ 1 lambda1)) 2)) (* (pow (sin (/ 1 lambda2)) 2) (pow (sin (/ 1 lambda1)) 2))) (* (sin (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (* (cos (/ 1 lambda2)) (sin (/ 1 lambda1))))))) (+ (/ (* (cos (/ 1 phi2)) (* (pow (sin (/ 1 lambda2)) 3) (* (cos (/ 1 phi1)) (pow (sin (/ 1 lambda1)) 3)))) (- (+ (* (pow (cos (/ 1 lambda2)) 2) (pow (cos (/ 1 lambda1)) 2)) (* (pow (sin (/ 1 lambda2)) 2) (pow (sin (/ 1 lambda1)) 2))) (* (sin (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (* (cos (/ 1 lambda2)) (sin (/ 1 lambda1))))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in lambda1 * [misc]backup-simplify: Simplify (acos (+ (/ (* (pow (cos (/ 1 lambda1)) 3) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (pow (cos (/ 1 lambda2)) 3)))) (- (+ (* (pow (cos (/ 1 lambda2)) 2) (pow (cos (/ 1 lambda1)) 2)) (* (pow (sin (/ 1 lambda2)) 2) (pow (sin (/ 1 lambda1)) 2))) (* (sin (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (* (cos (/ 1 lambda2)) (sin (/ 1 lambda1))))))) (+ (/ (* (cos (/ 1 phi2)) (* (pow (sin (/ 1 lambda2)) 3) (* (cos (/ 1 phi1)) (pow (sin (/ 1 lambda1)) 3)))) (- (+ (* (pow (cos (/ 1 lambda2)) 2) (pow (cos (/ 1 lambda1)) 2)) (* (pow (sin (/ 1 lambda2)) 2) (pow (sin (/ 1 lambda1)) 2))) (* (sin (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (* (cos (/ 1 lambda2)) (sin (/ 1 lambda1))))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) into (acos (+ (/ (* (pow (cos (/ 1 lambda1)) 3) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (pow (cos (/ 1 lambda2)) 3)))) (- (+ (* (pow (cos (/ 1 lambda1)) 2) (pow (cos (/ 1 lambda2)) 2)) (* (pow (sin (/ 1 lambda2)) 2) (pow (sin (/ 1 lambda1)) 2))) (* (sin (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (* (cos (/ 1 lambda2)) (sin (/ 1 lambda1))))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (/ (* (cos (/ 1 phi2)) (* (pow (sin (/ 1 lambda2)) 3) (* (cos (/ 1 phi1)) (pow (sin (/ 1 lambda1)) 3)))) (- (+ (* (pow (cos (/ 1 lambda1)) 2) (pow (cos (/ 1 lambda2)) 2)) (* (pow (sin (/ 1 lambda2)) 2) (pow (sin (/ 1 lambda1)) 2))) (* (sin (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (* (cos (/ 1 lambda2)) (sin (/ 1 lambda1)))))))))) * [misc]taylor: Taking taylor expansion of (acos (+ (/ (* (pow (cos (/ 1 lambda1)) 3) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (pow (cos (/ 1 lambda2)) 3)))) (- (+ (* (pow (cos (/ 1 lambda1)) 2) (pow (cos (/ 1 lambda2)) 2)) (* (pow (sin (/ 1 lambda2)) 2) (pow (sin (/ 1 lambda1)) 2))) (* (sin (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (* (cos (/ 1 lambda2)) (sin (/ 1 lambda1))))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (/ (* (cos (/ 1 phi2)) (* (pow (sin (/ 1 lambda2)) 3) (* (cos (/ 1 phi1)) (pow (sin (/ 1 lambda1)) 3)))) (- (+ (* (pow (cos (/ 1 lambda1)) 2) (pow (cos (/ 1 lambda2)) 2)) (* (pow (sin (/ 1 lambda2)) 2) (pow (sin (/ 1 lambda1)) 2))) (* (sin (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (* (cos (/ 1 lambda2)) (sin (/ 1 lambda1)))))))))) in lambda2 * [misc]backup-simplify: Simplify (acos (+ (/ (* (pow (cos (/ 1 lambda1)) 3) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (pow (cos (/ 1 lambda2)) 3)))) (- (+ (* (pow (cos (/ 1 lambda1)) 2) (pow (cos (/ 1 lambda2)) 2)) (* (pow (sin (/ 1 lambda2)) 2) (pow (sin (/ 1 lambda1)) 2))) (* (sin (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (* (cos (/ 1 lambda2)) (sin (/ 1 lambda1))))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (/ (* (cos (/ 1 phi2)) (* (pow (sin (/ 1 lambda2)) 3) (* (cos (/ 1 phi1)) (pow (sin (/ 1 lambda1)) 3)))) (- (+ (* (pow (cos (/ 1 lambda1)) 2) (pow (cos (/ 1 lambda2)) 2)) (* (pow (sin (/ 1 lambda2)) 2) (pow (sin (/ 1 lambda1)) 2))) (* (sin (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (* (cos (/ 1 lambda2)) (sin (/ 1 lambda1)))))))))) into (acos (+ (/ (* (pow (cos (/ 1 lambda1)) 3) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (pow (cos (/ 1 lambda2)) 3)))) (- (+ (* (pow (cos (/ 1 lambda2)) 2) (pow (cos (/ 1 lambda1)) 2)) (* (pow (sin (/ 1 lambda2)) 2) (pow (sin (/ 1 lambda1)) 2))) (* (sin (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (* (cos (/ 1 lambda2)) (sin (/ 1 lambda1))))))) (+ (/ (* (cos (/ 1 phi2)) (* (pow (sin (/ 1 lambda2)) 3) (* (cos (/ 1 phi1)) (pow (sin (/ 1 lambda1)) 3)))) (- (+ (* (pow (cos (/ 1 lambda2)) 2) (pow (cos (/ 1 lambda1)) 2)) (* (pow (sin (/ 1 lambda2)) 2) (pow (sin (/ 1 lambda1)) 2))) (* (sin (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (* (cos (/ 1 lambda2)) (sin (/ 1 lambda1))))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) * [misc]backup-simplify: Simplify (acos (+ (/ (* (pow (cos (/ 1 lambda1)) 3) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (pow (cos (/ 1 lambda2)) 3)))) (- (+ (* (pow (cos (/ 1 lambda2)) 2) (pow (cos (/ 1 lambda1)) 2)) (* (pow (sin (/ 1 lambda2)) 2) (pow (sin (/ 1 lambda1)) 2))) (* (sin (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (* (cos (/ 1 lambda2)) (sin (/ 1 lambda1))))))) (+ (/ (* (cos (/ 1 phi2)) (* (pow (sin (/ 1 lambda2)) 3) (* (cos (/ 1 phi1)) (pow (sin (/ 1 lambda1)) 3)))) (- (+ (* (pow (cos (/ 1 lambda2)) 2) (pow (cos (/ 1 lambda1)) 2)) (* (pow (sin (/ 1 lambda2)) 2) (pow (sin (/ 1 lambda1)) 2))) (* (sin (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (* (cos (/ 1 lambda2)) (sin (/ 1 lambda1))))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) into (acos (+ (/ (* (pow (cos (/ 1 lambda1)) 3) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (pow (cos (/ 1 lambda2)) 3)))) (- (+ (* (pow (cos (/ 1 lambda1)) 2) (pow (cos (/ 1 lambda2)) 2)) (* (pow (sin (/ 1 lambda2)) 2) (pow (sin (/ 1 lambda1)) 2))) (* (sin (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (* (cos (/ 1 lambda2)) (sin (/ 1 lambda1))))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (/ (* (cos (/ 1 phi2)) (* (pow (sin (/ 1 lambda2)) 3) (* (cos (/ 1 phi1)) (pow (sin (/ 1 lambda1)) 3)))) (- (+ (* (pow (cos (/ 1 lambda1)) 2) (pow (cos (/ 1 lambda2)) 2)) (* (pow (sin (/ 1 lambda2)) 2) (pow (sin (/ 1 lambda1)) 2))) (* (sin (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (* (cos (/ 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 (+ (/ (* (pow (cos (/ 1 (/ 1 lambda1))) 3) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 phi1))) (pow (cos (/ 1 (/ 1 lambda2))) 3)))) (- (+ (* (pow (cos (/ 1 (/ 1 lambda1))) 2) (pow (cos (/ 1 (/ 1 lambda2))) 2)) (* (pow (sin (/ 1 (/ 1 lambda2))) 2) (pow (sin (/ 1 (/ 1 lambda1))) 2))) (* (sin (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 lambda1))) (* (cos (/ 1 (/ 1 lambda2))) (sin (/ 1 (/ 1 lambda1)))))))) (+ (* (sin (/ 1 (/ 1 phi1))) (sin (/ 1 (/ 1 phi2)))) (/ (* (cos (/ 1 (/ 1 phi2))) (* (pow (sin (/ 1 (/ 1 lambda2))) 3) (* (cos (/ 1 (/ 1 phi1))) (pow (sin (/ 1 (/ 1 lambda1))) 3)))) (- (+ (* (pow (cos (/ 1 (/ 1 lambda1))) 2) (pow (cos (/ 1 (/ 1 lambda2))) 2)) (* (pow (sin (/ 1 (/ 1 lambda2))) 2) (pow (sin (/ 1 (/ 1 lambda1))) 2))) (* (sin (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 lambda1))) (* (cos (/ 1 (/ 1 lambda2))) (sin (/ 1 (/ 1 lambda1))))))))))) into (acos (+ (* (sin phi1) (sin phi2)) (+ (/ (* (cos phi2) (* (cos phi1) (* (pow (sin lambda2) 3) (pow (sin lambda1) 3)))) (- (+ (* (pow (sin lambda2) 2) (pow (sin lambda1) 2)) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2))) (* (cos lambda1) (* (sin lambda2) (* (sin lambda1) (cos lambda2)))))) (/ (* (pow (cos lambda1) 3) (* (cos phi2) (* (cos phi1) (pow (cos lambda2) 3)))) (- (+ (* (pow (sin lambda2) 2) (pow (sin lambda1) 2)) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2))) (* (cos lambda1) (* (sin lambda2) (* (sin lambda1) (cos lambda2))))))))) * [misc]approximate: Taking taylor expansion of (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (/ (+ (pow (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) 3) (pow (* (cos (/ 1 (- lambda2))) (cos (/ 1 (- lambda1)))) 3)) (+ (* (- (* (cos (/ 1 (- lambda2))) (cos (/ 1 (- lambda1)))) (* (sin (/ 1 (- lambda2))) (sin (/ 1 (- lambda1))))) (* (cos (/ 1 (- lambda2))) (cos (/ 1 (- lambda1))))) (* (* (sin (/ 1 (- lambda2))) (sin (/ 1 (- lambda1)))) (* (sin (/ 1 (- lambda2))) (sin (/ 1 (- lambda1)))))))))) 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)))) (/ (+ (pow (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) 3) (pow (* (cos (/ 1 (- lambda2))) (cos (/ 1 (- lambda1)))) 3)) (+ (* (- (* (cos (/ 1 (- lambda2))) (cos (/ 1 (- lambda1)))) (* (sin (/ 1 (- lambda2))) (sin (/ 1 (- lambda1))))) (* (cos (/ 1 (- lambda2))) (cos (/ 1 (- lambda1))))) (* (* (sin (/ 1 (- lambda2))) (sin (/ 1 (- lambda1)))) (* (sin (/ 1 (- lambda2))) (sin (/ 1 (- lambda1)))))))))) in lambda2 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (/ (+ (pow (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) 3) (pow (* (cos (/ 1 (- lambda2))) (cos (/ 1 (- lambda1)))) 3)) (+ (* (- (* (cos (/ 1 (- lambda2))) (cos (/ 1 (- lambda1)))) (* (sin (/ 1 (- lambda2))) (sin (/ 1 (- lambda1))))) (* (cos (/ 1 (- lambda2))) (cos (/ 1 (- lambda1))))) (* (* (sin (/ 1 (- lambda2))) (sin (/ 1 (- lambda1)))) (* (sin (/ 1 (- lambda2))) (sin (/ 1 (- lambda1)))))))))) into (acos (+ (/ (* (pow (sin (/ -1 lambda1)) 3) (* (pow (sin (/ -1 lambda2)) 3) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))) (- (+ (* (pow (cos (/ -1 lambda1)) 2) (pow (cos (/ -1 lambda2)) 2)) (* (pow (sin (/ -1 lambda1)) 2) (pow (sin (/ -1 lambda2)) 2))) (* (sin (/ -1 lambda1)) (* (cos (/ -1 lambda1)) (* (sin (/ -1 lambda2)) (cos (/ -1 lambda2))))))) (+ (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 3) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 3)))) (- (+ (* (pow (cos (/ -1 lambda1)) 2) (pow (cos (/ -1 lambda2)) 2)) (* (pow (sin (/ -1 lambda1)) 2) (pow (sin (/ -1 lambda2)) 2))) (* (sin (/ -1 lambda1)) (* (cos (/ -1 lambda1)) (* (sin (/ -1 lambda2)) (cos (/ -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)))) (/ (+ (pow (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) 3) (pow (* (cos (/ 1 (- lambda2))) (cos (/ 1 (- lambda1)))) 3)) (+ (* (- (* (cos (/ 1 (- lambda2))) (cos (/ 1 (- lambda1)))) (* (sin (/ 1 (- lambda2))) (sin (/ 1 (- lambda1))))) (* (cos (/ 1 (- lambda2))) (cos (/ 1 (- lambda1))))) (* (* (sin (/ 1 (- lambda2))) (sin (/ 1 (- lambda1)))) (* (sin (/ 1 (- lambda2))) (sin (/ 1 (- lambda1)))))))))) in lambda1 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (/ (+ (pow (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) 3) (pow (* (cos (/ 1 (- lambda2))) (cos (/ 1 (- lambda1)))) 3)) (+ (* (- (* (cos (/ 1 (- lambda2))) (cos (/ 1 (- lambda1)))) (* (sin (/ 1 (- lambda2))) (sin (/ 1 (- lambda1))))) (* (cos (/ 1 (- lambda2))) (cos (/ 1 (- lambda1))))) (* (* (sin (/ 1 (- lambda2))) (sin (/ 1 (- lambda1)))) (* (sin (/ 1 (- lambda2))) (sin (/ 1 (- lambda1)))))))))) into (acos (+ (/ (* (pow (sin (/ -1 lambda1)) 3) (* (pow (sin (/ -1 lambda2)) 3) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))) (- (+ (* (pow (cos (/ -1 lambda1)) 2) (pow (cos (/ -1 lambda2)) 2)) (* (pow (sin (/ -1 lambda1)) 2) (pow (sin (/ -1 lambda2)) 2))) (* (sin (/ -1 lambda1)) (* (cos (/ -1 lambda1)) (* (sin (/ -1 lambda2)) (cos (/ -1 lambda2))))))) (+ (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 3) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 3)))) (- (+ (* (pow (cos (/ -1 lambda1)) 2) (pow (cos (/ -1 lambda2)) 2)) (* (pow (sin (/ -1 lambda1)) 2) (pow (sin (/ -1 lambda2)) 2))) (* (sin (/ -1 lambda1)) (* (cos (/ -1 lambda1)) (* (sin (/ -1 lambda2)) (cos (/ -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)))) (/ (+ (pow (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) 3) (pow (* (cos (/ 1 (- lambda2))) (cos (/ 1 (- lambda1)))) 3)) (+ (* (- (* (cos (/ 1 (- lambda2))) (cos (/ 1 (- lambda1)))) (* (sin (/ 1 (- lambda2))) (sin (/ 1 (- lambda1))))) (* (cos (/ 1 (- lambda2))) (cos (/ 1 (- lambda1))))) (* (* (sin (/ 1 (- lambda2))) (sin (/ 1 (- lambda1)))) (* (sin (/ 1 (- lambda2))) (sin (/ 1 (- lambda1)))))))))) in phi2 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (/ (+ (pow (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) 3) (pow (* (cos (/ 1 (- lambda2))) (cos (/ 1 (- lambda1)))) 3)) (+ (* (- (* (cos (/ 1 (- lambda2))) (cos (/ 1 (- lambda1)))) (* (sin (/ 1 (- lambda2))) (sin (/ 1 (- lambda1))))) (* (cos (/ 1 (- lambda2))) (cos (/ 1 (- lambda1))))) (* (* (sin (/ 1 (- lambda2))) (sin (/ 1 (- lambda1)))) (* (sin (/ 1 (- lambda2))) (sin (/ 1 (- lambda1)))))))))) into (acos (+ (/ (* (pow (sin (/ -1 lambda1)) 3) (* (pow (sin (/ -1 lambda2)) 3) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))) (- (+ (* (pow (cos (/ -1 lambda1)) 2) (pow (cos (/ -1 lambda2)) 2)) (* (pow (sin (/ -1 lambda1)) 2) (pow (sin (/ -1 lambda2)) 2))) (* (sin (/ -1 lambda1)) (* (cos (/ -1 lambda1)) (* (sin (/ -1 lambda2)) (cos (/ -1 lambda2))))))) (+ (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 3) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 3)))) (- (+ (* (pow (cos (/ -1 lambda1)) 2) (pow (cos (/ -1 lambda2)) 2)) (* (pow (sin (/ -1 lambda1)) 2) (pow (sin (/ -1 lambda2)) 2))) (* (sin (/ -1 lambda1)) (* (cos (/ -1 lambda1)) (* (sin (/ -1 lambda2)) (cos (/ -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)))) (/ (+ (pow (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) 3) (pow (* (cos (/ 1 (- lambda2))) (cos (/ 1 (- lambda1)))) 3)) (+ (* (- (* (cos (/ 1 (- lambda2))) (cos (/ 1 (- lambda1)))) (* (sin (/ 1 (- lambda2))) (sin (/ 1 (- lambda1))))) (* (cos (/ 1 (- lambda2))) (cos (/ 1 (- lambda1))))) (* (* (sin (/ 1 (- lambda2))) (sin (/ 1 (- lambda1)))) (* (sin (/ 1 (- lambda2))) (sin (/ 1 (- lambda1)))))))))) in phi1 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (/ (+ (pow (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) 3) (pow (* (cos (/ 1 (- lambda2))) (cos (/ 1 (- lambda1)))) 3)) (+ (* (- (* (cos (/ 1 (- lambda2))) (cos (/ 1 (- lambda1)))) (* (sin (/ 1 (- lambda2))) (sin (/ 1 (- lambda1))))) (* (cos (/ 1 (- lambda2))) (cos (/ 1 (- lambda1))))) (* (* (sin (/ 1 (- lambda2))) (sin (/ 1 (- lambda1)))) (* (sin (/ 1 (- lambda2))) (sin (/ 1 (- lambda1)))))))))) into (acos (+ (/ (* (pow (sin (/ -1 lambda1)) 3) (* (pow (sin (/ -1 lambda2)) 3) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))) (- (+ (* (pow (cos (/ -1 lambda1)) 2) (pow (cos (/ -1 lambda2)) 2)) (* (pow (sin (/ -1 lambda1)) 2) (pow (sin (/ -1 lambda2)) 2))) (* (sin (/ -1 lambda1)) (* (cos (/ -1 lambda1)) (* (sin (/ -1 lambda2)) (cos (/ -1 lambda2))))))) (+ (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 3) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 3)))) (- (+ (* (pow (cos (/ -1 lambda1)) 2) (pow (cos (/ -1 lambda2)) 2)) (* (pow (sin (/ -1 lambda1)) 2) (pow (sin (/ -1 lambda2)) 2))) (* (sin (/ -1 lambda1)) (* (cos (/ -1 lambda1)) (* (sin (/ -1 lambda2)) (cos (/ -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)))) (/ (+ (pow (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) 3) (pow (* (cos (/ 1 (- lambda2))) (cos (/ 1 (- lambda1)))) 3)) (+ (* (- (* (cos (/ 1 (- lambda2))) (cos (/ 1 (- lambda1)))) (* (sin (/ 1 (- lambda2))) (sin (/ 1 (- lambda1))))) (* (cos (/ 1 (- lambda2))) (cos (/ 1 (- lambda1))))) (* (* (sin (/ 1 (- lambda2))) (sin (/ 1 (- lambda1)))) (* (sin (/ 1 (- lambda2))) (sin (/ 1 (- lambda1)))))))))) in phi1 * [misc]backup-simplify: Simplify (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (/ (+ (pow (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) 3) (pow (* (cos (/ 1 (- lambda2))) (cos (/ 1 (- lambda1)))) 3)) (+ (* (- (* (cos (/ 1 (- lambda2))) (cos (/ 1 (- lambda1)))) (* (sin (/ 1 (- lambda2))) (sin (/ 1 (- lambda1))))) (* (cos (/ 1 (- lambda2))) (cos (/ 1 (- lambda1))))) (* (* (sin (/ 1 (- lambda2))) (sin (/ 1 (- lambda1)))) (* (sin (/ 1 (- lambda2))) (sin (/ 1 (- lambda1)))))))))) into (acos (+ (/ (* (pow (sin (/ -1 lambda1)) 3) (* (pow (sin (/ -1 lambda2)) 3) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))) (- (+ (* (pow (cos (/ -1 lambda1)) 2) (pow (cos (/ -1 lambda2)) 2)) (* (pow (sin (/ -1 lambda1)) 2) (pow (sin (/ -1 lambda2)) 2))) (* (sin (/ -1 lambda1)) (* (cos (/ -1 lambda1)) (* (sin (/ -1 lambda2)) (cos (/ -1 lambda2))))))) (+ (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 3) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 3)))) (- (+ (* (pow (cos (/ -1 lambda1)) 2) (pow (cos (/ -1 lambda2)) 2)) (* (pow (sin (/ -1 lambda1)) 2) (pow (sin (/ -1 lambda2)) 2))) (* (sin (/ -1 lambda1)) (* (cos (/ -1 lambda1)) (* (sin (/ -1 lambda2)) (cos (/ -1 lambda2))))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) * [misc]taylor: Taking taylor expansion of (acos (+ (/ (* (pow (sin (/ -1 lambda1)) 3) (* (pow (sin (/ -1 lambda2)) 3) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))) (- (+ (* (pow (cos (/ -1 lambda1)) 2) (pow (cos (/ -1 lambda2)) 2)) (* (pow (sin (/ -1 lambda1)) 2) (pow (sin (/ -1 lambda2)) 2))) (* (sin (/ -1 lambda1)) (* (cos (/ -1 lambda1)) (* (sin (/ -1 lambda2)) (cos (/ -1 lambda2))))))) (+ (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 3) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 3)))) (- (+ (* (pow (cos (/ -1 lambda1)) 2) (pow (cos (/ -1 lambda2)) 2)) (* (pow (sin (/ -1 lambda1)) 2) (pow (sin (/ -1 lambda2)) 2))) (* (sin (/ -1 lambda1)) (* (cos (/ -1 lambda1)) (* (sin (/ -1 lambda2)) (cos (/ -1 lambda2))))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 * [misc]backup-simplify: Simplify (acos (+ (/ (* (pow (sin (/ -1 lambda1)) 3) (* (pow (sin (/ -1 lambda2)) 3) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))) (- (+ (* (pow (cos (/ -1 lambda1)) 2) (pow (cos (/ -1 lambda2)) 2)) (* (pow (sin (/ -1 lambda1)) 2) (pow (sin (/ -1 lambda2)) 2))) (* (sin (/ -1 lambda1)) (* (cos (/ -1 lambda1)) (* (sin (/ -1 lambda2)) (cos (/ -1 lambda2))))))) (+ (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 3) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 3)))) (- (+ (* (pow (cos (/ -1 lambda1)) 2) (pow (cos (/ -1 lambda2)) 2)) (* (pow (sin (/ -1 lambda1)) 2) (pow (sin (/ -1 lambda2)) 2))) (* (sin (/ -1 lambda1)) (* (cos (/ -1 lambda1)) (* (sin (/ -1 lambda2)) (cos (/ -1 lambda2))))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (/ (* (pow (sin (/ -1 lambda1)) 3) (* (pow (sin (/ -1 lambda2)) 3) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))) (- (+ (* (pow (cos (/ -1 lambda1)) 2) (pow (cos (/ -1 lambda2)) 2)) (* (pow (sin (/ -1 lambda1)) 2) (pow (sin (/ -1 lambda2)) 2))) (* (sin (/ -1 lambda1)) (* (cos (/ -1 lambda1)) (* (sin (/ -1 lambda2)) (cos (/ -1 lambda2))))))) (+ (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 3) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 3)))) (- (+ (* (pow (cos (/ -1 lambda1)) 2) (pow (cos (/ -1 lambda2)) 2)) (* (pow (sin (/ -1 lambda1)) 2) (pow (sin (/ -1 lambda2)) 2))) (* (sin (/ -1 lambda1)) (* (cos (/ -1 lambda1)) (* (sin (/ -1 lambda2)) (cos (/ -1 lambda2))))))) (* (sin (/ -1 phi2)) (sin (/ -1 phi1)))))) * [misc]taylor: Taking taylor expansion of (acos (+ (/ (* (pow (sin (/ -1 lambda1)) 3) (* (pow (sin (/ -1 lambda2)) 3) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))) (- (+ (* (pow (cos (/ -1 lambda1)) 2) (pow (cos (/ -1 lambda2)) 2)) (* (pow (sin (/ -1 lambda1)) 2) (pow (sin (/ -1 lambda2)) 2))) (* (sin (/ -1 lambda1)) (* (cos (/ -1 lambda1)) (* (sin (/ -1 lambda2)) (cos (/ -1 lambda2))))))) (+ (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 3) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 3)))) (- (+ (* (pow (cos (/ -1 lambda1)) 2) (pow (cos (/ -1 lambda2)) 2)) (* (pow (sin (/ -1 lambda1)) 2) (pow (sin (/ -1 lambda2)) 2))) (* (sin (/ -1 lambda1)) (* (cos (/ -1 lambda1)) (* (sin (/ -1 lambda2)) (cos (/ -1 lambda2))))))) (* (sin (/ -1 phi2)) (sin (/ -1 phi1)))))) in lambda1 * [misc]backup-simplify: Simplify (acos (+ (/ (* (pow (sin (/ -1 lambda1)) 3) (* (pow (sin (/ -1 lambda2)) 3) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))) (- (+ (* (pow (cos (/ -1 lambda1)) 2) (pow (cos (/ -1 lambda2)) 2)) (* (pow (sin (/ -1 lambda1)) 2) (pow (sin (/ -1 lambda2)) 2))) (* (sin (/ -1 lambda1)) (* (cos (/ -1 lambda1)) (* (sin (/ -1 lambda2)) (cos (/ -1 lambda2))))))) (+ (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 3) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 3)))) (- (+ (* (pow (cos (/ -1 lambda1)) 2) (pow (cos (/ -1 lambda2)) 2)) (* (pow (sin (/ -1 lambda1)) 2) (pow (sin (/ -1 lambda2)) 2))) (* (sin (/ -1 lambda1)) (* (cos (/ -1 lambda1)) (* (sin (/ -1 lambda2)) (cos (/ -1 lambda2))))))) (* (sin (/ -1 phi2)) (sin (/ -1 phi1)))))) into (acos (+ (/ (* (pow (sin (/ -1 lambda1)) 3) (* (pow (sin (/ -1 lambda2)) 3) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))) (- (+ (* (pow (cos (/ -1 lambda1)) 2) (pow (cos (/ -1 lambda2)) 2)) (* (pow (sin (/ -1 lambda1)) 2) (pow (sin (/ -1 lambda2)) 2))) (* (sin (/ -1 lambda1)) (* (cos (/ -1 lambda1)) (* (sin (/ -1 lambda2)) (cos (/ -1 lambda2))))))) (+ (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 3) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 3)))) (- (+ (* (pow (cos (/ -1 lambda1)) 2) (pow (cos (/ -1 lambda2)) 2)) (* (pow (sin (/ -1 lambda1)) 2) (pow (sin (/ -1 lambda2)) 2))) (* (sin (/ -1 lambda1)) (* (cos (/ -1 lambda1)) (* (sin (/ -1 lambda2)) (cos (/ -1 lambda2))))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) * [misc]taylor: Taking taylor expansion of (acos (+ (/ (* (pow (sin (/ -1 lambda1)) 3) (* (pow (sin (/ -1 lambda2)) 3) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))) (- (+ (* (pow (cos (/ -1 lambda1)) 2) (pow (cos (/ -1 lambda2)) 2)) (* (pow (sin (/ -1 lambda1)) 2) (pow (sin (/ -1 lambda2)) 2))) (* (sin (/ -1 lambda1)) (* (cos (/ -1 lambda1)) (* (sin (/ -1 lambda2)) (cos (/ -1 lambda2))))))) (+ (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 3) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 3)))) (- (+ (* (pow (cos (/ -1 lambda1)) 2) (pow (cos (/ -1 lambda2)) 2)) (* (pow (sin (/ -1 lambda1)) 2) (pow (sin (/ -1 lambda2)) 2))) (* (sin (/ -1 lambda1)) (* (cos (/ -1 lambda1)) (* (sin (/ -1 lambda2)) (cos (/ -1 lambda2))))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 * [misc]backup-simplify: Simplify (acos (+ (/ (* (pow (sin (/ -1 lambda1)) 3) (* (pow (sin (/ -1 lambda2)) 3) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))) (- (+ (* (pow (cos (/ -1 lambda1)) 2) (pow (cos (/ -1 lambda2)) 2)) (* (pow (sin (/ -1 lambda1)) 2) (pow (sin (/ -1 lambda2)) 2))) (* (sin (/ -1 lambda1)) (* (cos (/ -1 lambda1)) (* (sin (/ -1 lambda2)) (cos (/ -1 lambda2))))))) (+ (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 3) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 3)))) (- (+ (* (pow (cos (/ -1 lambda1)) 2) (pow (cos (/ -1 lambda2)) 2)) (* (pow (sin (/ -1 lambda1)) 2) (pow (sin (/ -1 lambda2)) 2))) (* (sin (/ -1 lambda1)) (* (cos (/ -1 lambda1)) (* (sin (/ -1 lambda2)) (cos (/ -1 lambda2))))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (/ (* (pow (sin (/ -1 lambda1)) 3) (* (pow (sin (/ -1 lambda2)) 3) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))) (- (+ (* (pow (cos (/ -1 lambda1)) 2) (pow (cos (/ -1 lambda2)) 2)) (* (pow (sin (/ -1 lambda1)) 2) (pow (sin (/ -1 lambda2)) 2))) (* (sin (/ -1 lambda1)) (* (cos (/ -1 lambda1)) (* (sin (/ -1 lambda2)) (cos (/ -1 lambda2))))))) (+ (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 3) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 3)))) (- (+ (* (pow (cos (/ -1 lambda1)) 2) (pow (cos (/ -1 lambda2)) 2)) (* (pow (sin (/ -1 lambda1)) 2) (pow (sin (/ -1 lambda2)) 2))) (* (sin (/ -1 lambda1)) (* (cos (/ -1 lambda1)) (* (sin (/ -1 lambda2)) (cos (/ -1 lambda2))))))) (* (sin (/ -1 phi2)) (sin (/ -1 phi1)))))) * [misc]backup-simplify: Simplify (acos (+ (/ (* (pow (sin (/ -1 lambda1)) 3) (* (pow (sin (/ -1 lambda2)) 3) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))) (- (+ (* (pow (cos (/ -1 lambda1)) 2) (pow (cos (/ -1 lambda2)) 2)) (* (pow (sin (/ -1 lambda1)) 2) (pow (sin (/ -1 lambda2)) 2))) (* (sin (/ -1 lambda1)) (* (cos (/ -1 lambda1)) (* (sin (/ -1 lambda2)) (cos (/ -1 lambda2))))))) (+ (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 3) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 3)))) (- (+ (* (pow (cos (/ -1 lambda1)) 2) (pow (cos (/ -1 lambda2)) 2)) (* (pow (sin (/ -1 lambda1)) 2) (pow (sin (/ -1 lambda2)) 2))) (* (sin (/ -1 lambda1)) (* (cos (/ -1 lambda1)) (* (sin (/ -1 lambda2)) (cos (/ -1 lambda2))))))) (* (sin (/ -1 phi2)) (sin (/ -1 phi1)))))) into (acos (+ (/ (* (pow (sin (/ -1 lambda1)) 3) (* (pow (sin (/ -1 lambda2)) 3) (* (cos (/ -1 phi1)) (cos (/ -1 phi2))))) (- (+ (* (pow (cos (/ -1 lambda1)) 2) (pow (cos (/ -1 lambda2)) 2)) (* (pow (sin (/ -1 lambda1)) 2) (pow (sin (/ -1 lambda2)) 2))) (* (sin (/ -1 lambda1)) (* (cos (/ -1 lambda1)) (* (sin (/ -1 lambda2)) (cos (/ -1 lambda2))))))) (+ (/ (* (cos (/ -1 phi1)) (* (pow (cos (/ -1 lambda1)) 3) (* (cos (/ -1 phi2)) (pow (cos (/ -1 lambda2)) 3)))) (- (+ (* (pow (cos (/ -1 lambda1)) 2) (pow (cos (/ -1 lambda2)) 2)) (* (pow (sin (/ -1 lambda1)) 2) (pow (sin (/ -1 lambda2)) 2))) (* (sin (/ -1 lambda1)) (* (cos (/ -1 lambda1)) (* (sin (/ -1 lambda2)) (cos (/ -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 (+ (/ (* (pow (sin (/ -1 (/ 1 (- lambda1)))) 3) (* (pow (sin (/ -1 (/ 1 (- lambda2)))) 3) (* (cos (/ -1 (/ 1 (- phi1)))) (cos (/ -1 (/ 1 (- phi2))))))) (- (+ (* (pow (cos (/ -1 (/ 1 (- lambda1)))) 2) (pow (cos (/ -1 (/ 1 (- lambda2)))) 2)) (* (pow (sin (/ -1 (/ 1 (- lambda1)))) 2) (pow (sin (/ -1 (/ 1 (- lambda2)))) 2))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- lambda1)))) (* (sin (/ -1 (/ 1 (- lambda2)))) (cos (/ -1 (/ 1 (- lambda2))))))))) (+ (/ (* (cos (/ -1 (/ 1 (- phi1)))) (* (pow (cos (/ -1 (/ 1 (- lambda1)))) 3) (* (cos (/ -1 (/ 1 (- phi2)))) (pow (cos (/ -1 (/ 1 (- lambda2)))) 3)))) (- (+ (* (pow (cos (/ -1 (/ 1 (- lambda1)))) 2) (pow (cos (/ -1 (/ 1 (- lambda2)))) 2)) (* (pow (sin (/ -1 (/ 1 (- lambda1)))) 2) (pow (sin (/ -1 (/ 1 (- lambda2)))) 2))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- lambda1)))) (* (sin (/ -1 (/ 1 (- lambda2)))) (cos (/ -1 (/ 1 (- lambda2))))))))) (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2)))))))) into (acos (+ (* (sin phi1) (sin phi2)) (+ (/ (* (cos phi2) (* (cos phi1) (* (pow (sin lambda2) 3) (pow (sin lambda1) 3)))) (- (+ (* (pow (sin lambda2) 2) (pow (sin lambda1) 2)) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2))) (* (cos lambda1) (* (sin lambda2) (* (sin lambda1) (cos lambda2)))))) (/ (* (pow (cos lambda1) 3) (* (cos phi2) (* (cos phi1) (pow (cos lambda2) 3)))) (- (+ (* (pow (sin lambda2) 2) (pow (sin lambda1) 2)) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2))) (* (cos lambda1) (* (sin lambda2) (* (sin lambda1) (cos lambda2))))))))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1 2 2 1 2) * [misc]approximate: Taking taylor expansion of (pow (* (cos lambda2) (cos lambda1)) 3) in (lambda2 lambda1) around 0 * [misc]taylor: Taking taylor expansion of (pow (* (cos lambda2) (cos lambda1)) 3) in lambda1 * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (* (cos lambda2) (cos lambda1))))) in lambda1 * [misc]taylor: Taking taylor expansion of (* 3 (log (* (cos lambda2) (cos lambda1)))) in lambda1 * [misc]taylor: Taking taylor expansion of 3 in lambda1 * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (* (cos lambda2) (cos lambda1))) in lambda1 * [misc]taylor: Taking taylor expansion of (* (cos lambda2) (cos lambda1)) in lambda1 * [misc]taylor: Taking taylor expansion of (cos lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (cos lambda2) into (cos lambda2) * [misc]backup-simplify: Simplify (sin lambda2) into (sin lambda2) * [misc]taylor: Taking taylor expansion of (cos 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 (* (cos lambda2) 1) into (cos lambda2) * [misc]backup-simplify: Simplify (* (sin lambda2) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos lambda2) 0) into (cos lambda2) * [misc]backup-simplify: Simplify (* (cos lambda2) 1) into (cos lambda2) * [misc]backup-simplify: Simplify (log (cos lambda2)) into (log (cos lambda2)) * [misc]backup-simplify: Simplify (* 3 (log (cos lambda2))) into (* 3 (log (cos lambda2))) * [misc]backup-simplify: Simplify (exp (* 3 (log (cos lambda2)))) into (pow (cos lambda2) 3) * [misc]taylor: Taking taylor expansion of (pow (* (cos lambda2) (cos lambda1)) 3) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (* (cos lambda2) (cos lambda1))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 3 (log (* (cos lambda2) (cos lambda1)))) in lambda2 * [misc]taylor: Taking taylor expansion of 3 in lambda2 * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (* (cos lambda2) (cos lambda1))) in lambda2 * [misc]taylor: Taking taylor expansion of (* (cos lambda2) (cos lambda1)) in lambda2 * [misc]taylor: Taking taylor expansion of (cos lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos lambda1) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (cos lambda1) into (cos lambda1) * [misc]backup-simplify: Simplify (sin lambda1) into (sin lambda1) * [misc]backup-simplify: Simplify (* (cos lambda1) 1) into (cos lambda1) * [misc]backup-simplify: Simplify (* (sin lambda1) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos lambda1) 0) into (cos lambda1) * [misc]backup-simplify: Simplify (* 1 (cos lambda1)) into (cos lambda1) * [misc]backup-simplify: Simplify (log (cos lambda1)) into (log (cos lambda1)) * [misc]backup-simplify: Simplify (* 3 (log (cos lambda1))) into (* 3 (log (cos lambda1))) * [misc]backup-simplify: Simplify (exp (* 3 (log (cos lambda1)))) into (pow (cos lambda1) 3) * [misc]taylor: Taking taylor expansion of (pow (* (cos lambda2) (cos lambda1)) 3) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (* (cos lambda2) (cos lambda1))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 3 (log (* (cos lambda2) (cos lambda1)))) in lambda2 * [misc]taylor: Taking taylor expansion of 3 in lambda2 * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (* (cos lambda2) (cos lambda1))) in lambda2 * [misc]taylor: Taking taylor expansion of (* (cos lambda2) (cos lambda1)) in lambda2 * [misc]taylor: Taking taylor expansion of (cos lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos lambda1) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (cos lambda1) into (cos lambda1) * [misc]backup-simplify: Simplify (sin lambda1) into (sin lambda1) * [misc]backup-simplify: Simplify (* (cos lambda1) 1) into (cos lambda1) * [misc]backup-simplify: Simplify (* (sin lambda1) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos lambda1) 0) into (cos lambda1) * [misc]backup-simplify: Simplify (* 1 (cos lambda1)) into (cos lambda1) * [misc]backup-simplify: Simplify (log (cos lambda1)) into (log (cos lambda1)) * [misc]backup-simplify: Simplify (* 3 (log (cos lambda1))) into (* 3 (log (cos lambda1))) * [misc]backup-simplify: Simplify (exp (* 3 (log (cos lambda1)))) into (pow (cos lambda1) 3) * [misc]taylor: Taking taylor expansion of (pow (cos lambda1) 3) in lambda1 * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cos lambda1)))) in lambda1 * [misc]taylor: Taking taylor expansion of (* 3 (log (cos lambda1))) in lambda1 * [misc]taylor: Taking taylor expansion of 3 in lambda1 * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (cos lambda1)) in lambda1 * [misc]taylor: Taking taylor expansion of (cos lambda1) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 3 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- 1/2)) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* 3 -1/2) (+ (* 0 0) (* 0 0))) into -3/2 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos lambda1) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin lambda1) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (cos lambda1))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos lambda1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log (cos lambda1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (cos lambda1)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos lambda1) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin lambda1) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* (- 1/2) (cos lambda1)))) into (- (* 1/2 (cos lambda1))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos lambda1) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/2 (cos lambda1)))) 1)) (pow (cos lambda1) 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* 3 -1/2) (+ (* 0 0) (* 0 (log (cos lambda1))))) into (- 3/2) * [misc]backup-simplify: Simplify (* (exp (* 3 (log (cos lambda1)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- 3/2) 1) 1)))) into (* -3/2 (pow (cos lambda1) 3)) * [misc]taylor: Taking taylor expansion of (* -3/2 (pow (cos lambda1) 3)) in lambda1 * [misc]taylor: Taking taylor expansion of -3/2 in lambda1 * [misc]backup-simplify: Simplify -3/2 into -3/2 * [misc]taylor: Taking taylor expansion of (pow (cos lambda1) 3) in lambda1 * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cos lambda1)))) in lambda1 * [misc]taylor: Taking taylor expansion of (* 3 (log (cos lambda1))) in lambda1 * [misc]taylor: Taking taylor expansion of 3 in lambda1 * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (cos lambda1)) in lambda1 * [misc]taylor: Taking taylor expansion of (cos lambda1) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 3 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- 1/2)) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* 3 -1/2) (+ (* 0 0) (* 0 0))) into -3/2 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (* -3/2 1) into -3/2 * [misc]backup-simplify: Simplify -3/2 into -3/2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow -3/2 1) 1)))) into -3/2 * [misc]backup-simplify: Simplify -3/2 into -3/2 * [misc]backup-simplify: Simplify (+ (* -3/2 (pow (* lambda1 1) 2)) (+ (* -3/2 (pow (* 1 lambda2) 2)) 1)) into (- 1 (+ (* 3/2 (pow lambda1 2)) (* 3/2 (pow lambda2 2)))) * [misc]approximate: Taking taylor expansion of (pow (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) 3) in (lambda2 lambda1) around 0 * [misc]taylor: Taking taylor expansion of (pow (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) 3) in lambda1 * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))))) in lambda1 * [misc]taylor: Taking taylor expansion of (* 3 (log (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))) in lambda1 * [misc]taylor: Taking taylor expansion of 3 in lambda1 * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) in lambda1 * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in lambda1 * [misc]taylor: Taking taylor expansion of (cos (/ 1 lambda2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (/ 1 lambda2) into (/ 1 lambda2) * [misc]backup-simplify: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) * [misc]backup-simplify: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 lambda1)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) * [misc]backup-simplify: Simplify (* (cos (/ 1 lambda2)) 1) into (cos (/ 1 lambda2)) * [misc]backup-simplify: Simplify (* (sin (/ 1 lambda2)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1 lambda2)) 0) into (cos (/ 1 lambda2)) * [misc]backup-simplify: Simplify (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) into (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) * [misc]backup-simplify: Simplify (log (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2)))) into (log (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) * [misc]backup-simplify: Simplify (* 3 (log (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))) into (* 3 (log (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))))) * [misc]backup-simplify: Simplify (exp (* 3 (log (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2)))))) into (pow (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) 3) * [misc]taylor: Taking taylor expansion of (pow (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) 3) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 3 (log (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))) in lambda2 * [misc]taylor: Taking taylor expansion of 3 in lambda2 * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) in lambda2 * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in lambda2 * [misc]taylor: Taking taylor expansion of (cos (/ 1 lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 lambda1)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (/ 1 lambda1) into (/ 1 lambda1) * [misc]backup-simplify: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) * [misc]backup-simplify: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) * [misc]backup-simplify: Simplify (* (cos (/ 1 lambda1)) 1) into (cos (/ 1 lambda1)) * [misc]backup-simplify: Simplify (* (sin (/ 1 lambda1)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1 lambda1)) 0) into (cos (/ 1 lambda1)) * [misc]backup-simplify: Simplify (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) into (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) * [misc]backup-simplify: Simplify (log (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2)))) into (log (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) * [misc]backup-simplify: Simplify (* 3 (log (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))) into (* 3 (log (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))))) * [misc]backup-simplify: Simplify (exp (* 3 (log (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2)))))) into (pow (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) 3) * [misc]taylor: Taking taylor expansion of (pow (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) 3) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 3 (log (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))) in lambda2 * [misc]taylor: Taking taylor expansion of 3 in lambda2 * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) in lambda2 * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in lambda2 * [misc]taylor: Taking taylor expansion of (cos (/ 1 lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 lambda1)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (/ 1 lambda1) into (/ 1 lambda1) * [misc]backup-simplify: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) * [misc]backup-simplify: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) * [misc]backup-simplify: Simplify (* (cos (/ 1 lambda1)) 1) into (cos (/ 1 lambda1)) * [misc]backup-simplify: Simplify (* (sin (/ 1 lambda1)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1 lambda1)) 0) into (cos (/ 1 lambda1)) * [misc]backup-simplify: Simplify (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) into (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) * [misc]backup-simplify: Simplify (log (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2)))) into (log (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) * [misc]backup-simplify: Simplify (* 3 (log (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))) into (* 3 (log (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))))) * [misc]backup-simplify: Simplify (exp (* 3 (log (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2)))))) into (pow (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) 3) * [misc]taylor: Taking taylor expansion of (pow (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) 3) in lambda1 * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))))) in lambda1 * [misc]taylor: Taking taylor expansion of (* 3 (log (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))) in lambda1 * [misc]taylor: Taking taylor expansion of 3 in lambda1 * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) in lambda1 * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in lambda1 * [misc]taylor: Taking taylor expansion of (cos (/ 1 lambda2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (/ 1 lambda2) into (/ 1 lambda2) * [misc]backup-simplify: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) * [misc]backup-simplify: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 lambda1)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) * [misc]backup-simplify: Simplify (* (cos (/ 1 lambda2)) 1) into (cos (/ 1 lambda2)) * [misc]backup-simplify: Simplify (* (sin (/ 1 lambda2)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1 lambda2)) 0) into (cos (/ 1 lambda2)) * [misc]backup-simplify: Simplify (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) into (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) * [misc]backup-simplify: Simplify (log (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2)))) into (log (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) * [misc]backup-simplify: Simplify (* 3 (log (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))) into (* 3 (log (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))))) * [misc]backup-simplify: Simplify (exp (* 3 (log (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2)))))) into (pow (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) 3) * [misc]backup-simplify: Simplify (pow (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) 3) into (pow (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) 3) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 lambda1)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 lambda2)) 0) (* 0 (cos (/ 1 lambda1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2)))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 lambda2)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 lambda2)) 0) (* 0 (cos (/ 1 lambda1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2)))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 (cos (/ 1 lambda1))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 (cos (/ 1 lambda1))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 lambda1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 lambda1)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2)))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (* (cos (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 lambda2)))) 3) into (pow (* (cos lambda1) (cos lambda2)) 3) * [misc]approximate: Taking taylor expansion of (pow (* (cos (/ 1 (- lambda2))) (cos (/ 1 (- lambda1)))) 3) in (lambda2 lambda1) around 0 * [misc]taylor: Taking taylor expansion of (pow (* (cos (/ 1 (- lambda2))) (cos (/ 1 (- lambda1)))) 3) in lambda1 * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (* (cos (/ 1 (- lambda2))) (cos (/ 1 (- lambda1))))))) in lambda1 * [misc]taylor: Taking taylor expansion of (* 3 (log (* (cos (/ 1 (- lambda2))) (cos (/ 1 (- lambda1)))))) in lambda1 * [misc]taylor: Taking taylor expansion of 3 in lambda1 * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (* (cos (/ 1 (- lambda2))) (cos (/ 1 (- lambda1))))) in lambda1 * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 (- lambda2))) (cos (/ 1 (- lambda1)))) in lambda1 * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- lambda2))) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda2)) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (/ 1 (- lambda2)) into (/ -1 lambda2) * [misc]backup-simplify: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2)) * [misc]backup-simplify: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- lambda1))) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda1)) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda1) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- lambda1))) into (cos (/ -1 lambda1)) * [misc]backup-simplify: Simplify (* (cos (/ -1 lambda2)) 1) into (cos (/ -1 lambda2)) * [misc]backup-simplify: Simplify (* (sin (/ -1 lambda2)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1 lambda2)) 0) into (cos (/ -1 lambda2)) * [misc]backup-simplify: Simplify (* (cos (/ -1 lambda2)) (cos (/ -1 lambda1))) into (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) * [misc]backup-simplify: Simplify (log (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2)))) into (log (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2)))) * [misc]backup-simplify: Simplify (* 3 (log (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))))) into (* 3 (log (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))))) * [misc]backup-simplify: Simplify (exp (* 3 (log (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2)))))) into (pow (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) 3) * [misc]taylor: Taking taylor expansion of (pow (* (cos (/ 1 (- lambda2))) (cos (/ 1 (- lambda1)))) 3) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (* (cos (/ 1 (- lambda2))) (cos (/ 1 (- lambda1))))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 3 (log (* (cos (/ 1 (- lambda2))) (cos (/ 1 (- lambda1)))))) in lambda2 * [misc]taylor: Taking taylor expansion of 3 in lambda2 * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (* (cos (/ 1 (- lambda2))) (cos (/ 1 (- lambda1))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 (- lambda2))) (cos (/ 1 (- lambda1)))) in lambda2 * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- lambda2))) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of (- lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- lambda2))) into (cos (/ -1 lambda2)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- lambda1))) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda1)) in lambda2 * [misc]taylor: Taking taylor expansion of (- lambda1) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (/ 1 (- lambda1)) into (/ -1 lambda1) * [misc]backup-simplify: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) * [misc]backup-simplify: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) * [misc]backup-simplify: Simplify (* (cos (/ -1 lambda1)) 1) into (cos (/ -1 lambda1)) * [misc]backup-simplify: Simplify (* (sin (/ -1 lambda1)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1 lambda1)) 0) into (cos (/ -1 lambda1)) * [misc]backup-simplify: Simplify (* (cos (/ -1 lambda2)) (cos (/ -1 lambda1))) into (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) * [misc]backup-simplify: Simplify (log (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2)))) into (log (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2)))) * [misc]backup-simplify: Simplify (* 3 (log (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))))) into (* 3 (log (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))))) * [misc]backup-simplify: Simplify (exp (* 3 (log (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2)))))) into (pow (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) 3) * [misc]taylor: Taking taylor expansion of (pow (* (cos (/ 1 (- lambda2))) (cos (/ 1 (- lambda1)))) 3) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (* (cos (/ 1 (- lambda2))) (cos (/ 1 (- lambda1))))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 3 (log (* (cos (/ 1 (- lambda2))) (cos (/ 1 (- lambda1)))))) in lambda2 * [misc]taylor: Taking taylor expansion of 3 in lambda2 * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (* (cos (/ 1 (- lambda2))) (cos (/ 1 (- lambda1))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 (- lambda2))) (cos (/ 1 (- lambda1)))) in lambda2 * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- lambda2))) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of (- lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- lambda2))) into (cos (/ -1 lambda2)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- lambda1))) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda1)) in lambda2 * [misc]taylor: Taking taylor expansion of (- lambda1) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (/ 1 (- lambda1)) into (/ -1 lambda1) * [misc]backup-simplify: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) * [misc]backup-simplify: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) * [misc]backup-simplify: Simplify (* (cos (/ -1 lambda1)) 1) into (cos (/ -1 lambda1)) * [misc]backup-simplify: Simplify (* (sin (/ -1 lambda1)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1 lambda1)) 0) into (cos (/ -1 lambda1)) * [misc]backup-simplify: Simplify (* (cos (/ -1 lambda2)) (cos (/ -1 lambda1))) into (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) * [misc]backup-simplify: Simplify (log (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2)))) into (log (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2)))) * [misc]backup-simplify: Simplify (* 3 (log (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))))) into (* 3 (log (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))))) * [misc]backup-simplify: Simplify (exp (* 3 (log (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2)))))) into (pow (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) 3) * [misc]taylor: Taking taylor expansion of (pow (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) 3) in lambda1 * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2)))))) in lambda1 * [misc]taylor: Taking taylor expansion of (* 3 (log (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))))) in lambda1 * [misc]taylor: Taking taylor expansion of 3 in lambda1 * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2)))) in lambda1 * [misc]taylor: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in lambda1 * [misc]taylor: Taking taylor expansion of (cos (/ -1 lambda1)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ -1 lambda1) in lambda1 * [misc]taylor: Taking taylor expansion of -1 in lambda1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) * [misc]taylor: Taking taylor expansion of (cos (/ -1 lambda2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ -1 lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of -1 in lambda1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (/ -1 lambda2) into (/ -1 lambda2) * [misc]backup-simplify: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2)) * [misc]backup-simplify: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) * [misc]backup-simplify: Simplify (* (cos (/ -1 lambda2)) 1) into (cos (/ -1 lambda2)) * [misc]backup-simplify: Simplify (* (sin (/ -1 lambda2)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1 lambda2)) 0) into (cos (/ -1 lambda2)) * [misc]backup-simplify: Simplify (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) into (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) * [misc]backup-simplify: Simplify (log (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2)))) into (log (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2)))) * [misc]backup-simplify: Simplify (* 3 (log (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))))) into (* 3 (log (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))))) * [misc]backup-simplify: Simplify (exp (* 3 (log (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2)))))) into (pow (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) 3) * [misc]backup-simplify: Simplify (pow (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) 3) into (pow (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) 3) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 lambda1)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 lambda1) (/ 0 (- lambda1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 lambda2)) 0) (* 0 (cos (/ -1 lambda1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2)))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 lambda2)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 lambda2)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 lambda1)) 0) (* 0 (cos (/ -1 lambda2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2)))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 lambda1) (/ 0 (- lambda1))) (* 0 (/ 0 (- lambda1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 (cos (/ -1 lambda1))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (cos (/ -1 lambda2))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 lambda1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 lambda1) (/ 0 (- lambda1))) (* 0 (/ 0 (- lambda1))) (* 0 (/ 0 (- lambda1))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 lambda1)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2)))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (* (cos (/ -1 (/ 1 (- lambda1)))) (cos (/ -1 (/ 1 (- lambda2))))) 3) into (pow (* (cos lambda1) (cos lambda2)) 3) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1 2 2 2 1) * [misc]approximate: Taking taylor expansion of (* (- (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos lambda2) (cos lambda1))) in (lambda2 lambda1) around 0 * [misc]taylor: Taking taylor expansion of (* (- (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos lambda2) (cos lambda1))) in lambda1 * [misc]taylor: Taking taylor expansion of (- (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) in lambda1 * [misc]taylor: Taking taylor expansion of (* (cos lambda2) (cos lambda1)) in lambda1 * [misc]taylor: Taking taylor expansion of (cos lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (cos lambda2) into (cos lambda2) * [misc]backup-simplify: Simplify (sin lambda2) into (sin lambda2) * [misc]taylor: Taking taylor expansion of (cos 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) (sin lambda1)) in lambda1 * [misc]taylor: Taking taylor expansion of (sin lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (sin lambda2) into (sin lambda2) * [misc]backup-simplify: Simplify (cos lambda2) into (cos lambda2) * [misc]taylor: Taking taylor expansion of (sin lambda1) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (cos lambda2) (cos lambda1)) in lambda1 * [misc]taylor: Taking taylor expansion of (cos lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (cos lambda2) into (cos lambda2) * [misc]backup-simplify: Simplify (sin lambda2) into (sin lambda2) * [misc]taylor: Taking taylor expansion of (cos lambda1) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (- (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos lambda2) (cos lambda1))) in lambda2 * [misc]taylor: Taking taylor expansion of (- (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) in lambda2 * [misc]taylor: Taking taylor expansion of (* (cos lambda2) (cos lambda1)) in lambda2 * [misc]taylor: Taking taylor expansion of (cos lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos lambda1) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (cos lambda1) into (cos lambda1) * [misc]backup-simplify: Simplify (sin lambda1) into (sin lambda1) * [misc]taylor: Taking taylor expansion of (* (sin lambda2) (sin lambda1)) in lambda2 * [misc]taylor: Taking taylor expansion of (sin lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]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 (* (cos lambda2) (cos lambda1)) in lambda2 * [misc]taylor: Taking taylor expansion of (cos lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos lambda1) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (cos lambda1) into (cos lambda1) * [misc]backup-simplify: Simplify (sin lambda1) into (sin lambda1) * [misc]taylor: Taking taylor expansion of (* (- (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos lambda2) (cos lambda1))) in lambda2 * [misc]taylor: Taking taylor expansion of (- (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) in lambda2 * [misc]taylor: Taking taylor expansion of (* (cos lambda2) (cos lambda1)) in lambda2 * [misc]taylor: Taking taylor expansion of (cos lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos lambda1) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (cos lambda1) into (cos lambda1) * [misc]backup-simplify: Simplify (sin lambda1) into (sin lambda1) * [misc]taylor: Taking taylor expansion of (* (sin lambda2) (sin lambda1)) in lambda2 * [misc]taylor: Taking taylor expansion of (sin lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]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 (* (cos lambda2) (cos lambda1)) in lambda2 * [misc]taylor: Taking taylor expansion of (cos lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos lambda1) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (cos lambda1) into (cos lambda1) * [misc]backup-simplify: Simplify (sin lambda1) into (sin lambda1) * [misc]backup-simplify: Simplify (* (cos lambda1) 1) into (cos lambda1) * [misc]backup-simplify: Simplify (* (sin lambda1) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos lambda1) 0) into (cos lambda1) * [misc]backup-simplify: Simplify (* 1 (cos lambda1)) into (cos lambda1) * [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 (* 0 (sin lambda1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos lambda1) 0) into (cos lambda1) * [misc]backup-simplify: Simplify (* (cos lambda1) 1) into (cos lambda1) * [misc]backup-simplify: Simplify (* (sin lambda1) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos lambda1) 0) into (cos lambda1) * [misc]backup-simplify: Simplify (* 1 (cos lambda1)) into (cos lambda1) * [misc]backup-simplify: Simplify (* (cos lambda1) (cos lambda1)) into (pow (cos lambda1) 2) * [misc]taylor: Taking taylor expansion of (pow (cos lambda1) 2) in lambda1 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos lambda1)))) in lambda1 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos lambda1))) in lambda1 * [misc]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos lambda1)) in lambda1 * [misc]taylor: Taking taylor expansion of (cos lambda1) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- 1/2)) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* 2 -1/2) (+ (* 0 0) (* 0 0))) into -1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos lambda1) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin lambda1) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (cos lambda1))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos lambda1) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin lambda1) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (cos lambda1))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin lambda1) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos lambda1) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (sin lambda1))) into (sin lambda1) * [misc]backup-simplify: Simplify (- (sin lambda1)) into (- (sin lambda1)) * [misc]backup-simplify: Simplify (+ 0 (- (sin lambda1))) into (- (sin lambda1)) * [misc]backup-simplify: Simplify (+ (* (cos lambda1) 0) (* (- (sin lambda1)) (cos lambda1))) into (- (* (cos lambda1) (sin lambda1))) * [misc]taylor: Taking taylor expansion of (- (* (cos lambda1) (sin lambda1))) in lambda1 * [misc]taylor: Taking taylor expansion of (* (cos lambda1) (sin lambda1)) in lambda1 * [misc]taylor: Taking taylor expansion of (cos lambda1) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (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]backup-simplify: Simplify (* 1 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos lambda1) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin lambda1) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* (- 1/2) (cos lambda1)))) into (- (* 1/2 (cos lambda1))) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos lambda1) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin lambda1) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* (- 1/2) (cos lambda1)))) into (- (* 1/2 (cos lambda1))) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin lambda1) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos lambda1) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin lambda1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/2 (cos lambda1))) 0) into (- (* 1/2 (cos lambda1))) * [misc]backup-simplify: Simplify (+ (* (cos lambda1) (- (* 1/2 (cos lambda1)))) (+ (* (- (sin lambda1)) 0) (* (- (* 1/2 (cos lambda1))) (cos lambda1)))) into (- (pow (cos lambda1) 2)) * [misc]taylor: Taking taylor expansion of (- (pow (cos lambda1) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (pow (cos lambda1) 2) in lambda1 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos lambda1)))) in lambda1 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos lambda1))) in lambda1 * [misc]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos lambda1)) in lambda1 * [misc]taylor: Taking taylor expansion of (cos lambda1) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- 1/2)) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* 2 -1/2) (+ (* 0 0) (* 0 0))) into -1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [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 (+ (* 1 1) (* 0 0)) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ (* -1 (* lambda1 lambda2)) (+ (* -1 (pow (* 1 lambda2) 2)) 1)) into (- 1 (+ (* lambda1 lambda2) (pow lambda2 2))) * [misc]approximate: Taking taylor expansion of (* (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) in (lambda2 lambda1) around 0 * [misc]taylor: Taking taylor expansion of (* (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) in lambda1 * [misc]taylor: Taking taylor expansion of (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))) in lambda1 * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in lambda1 * [misc]taylor: Taking taylor expansion of (cos (/ 1 lambda2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (/ 1 lambda2) into (/ 1 lambda2) * [misc]backup-simplify: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) * [misc]backup-simplify: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 lambda1)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda1 * [misc]taylor: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (/ 1 lambda2) into (/ 1 lambda2) * [misc]backup-simplify: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) * [misc]backup-simplify: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in lambda1 * [misc]taylor: Taking taylor expansion of (cos (/ 1 lambda2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (/ 1 lambda2) into (/ 1 lambda2) * [misc]backup-simplify: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) * [misc]backup-simplify: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 lambda1)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) * [misc]taylor: Taking taylor expansion of (* (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) in lambda2 * [misc]taylor: Taking taylor expansion of (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))) in lambda2 * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in lambda2 * [misc]taylor: Taking taylor expansion of (cos (/ 1 lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 lambda1)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (/ 1 lambda1) into (/ 1 lambda1) * [misc]backup-simplify: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) * [misc]backup-simplify: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda2 * [misc]taylor: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (/ 1 lambda1) into (/ 1 lambda1) * [misc]backup-simplify: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) * [misc]backup-simplify: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in lambda2 * [misc]taylor: Taking taylor expansion of (cos (/ 1 lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 lambda1)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (/ 1 lambda1) into (/ 1 lambda1) * [misc]backup-simplify: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) * [misc]backup-simplify: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) * [misc]taylor: Taking taylor expansion of (* (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) in lambda2 * [misc]taylor: Taking taylor expansion of (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))) in lambda2 * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in lambda2 * [misc]taylor: Taking taylor expansion of (cos (/ 1 lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 lambda1)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (/ 1 lambda1) into (/ 1 lambda1) * [misc]backup-simplify: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) * [misc]backup-simplify: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda2 * [misc]taylor: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (/ 1 lambda1) into (/ 1 lambda1) * [misc]backup-simplify: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) * [misc]backup-simplify: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in lambda2 * [misc]taylor: Taking taylor expansion of (cos (/ 1 lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 lambda1)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (/ 1 lambda1) into (/ 1 lambda1) * [misc]backup-simplify: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) * [misc]backup-simplify: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) * [misc]backup-simplify: Simplify (* (cos (/ 1 lambda1)) 1) into (cos (/ 1 lambda1)) * [misc]backup-simplify: Simplify (* (sin (/ 1 lambda1)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1 lambda1)) 0) into (cos (/ 1 lambda1)) * [misc]backup-simplify: Simplify (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) into (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) * [misc]backup-simplify: Simplify (* (sin (/ 1 lambda1)) 1) into (sin (/ 1 lambda1)) * [misc]backup-simplify: Simplify (* (cos (/ 1 lambda1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 lambda1)) 0) into (sin (/ 1 lambda1)) * [misc]backup-simplify: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) * [misc]backup-simplify: Simplify (- (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))) into (- (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))) * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (- (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))))) into (- (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))) * [misc]backup-simplify: Simplify (* (cos (/ 1 lambda1)) 1) into (cos (/ 1 lambda1)) * [misc]backup-simplify: Simplify (* (sin (/ 1 lambda1)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1 lambda1)) 0) into (cos (/ 1 lambda1)) * [misc]backup-simplify: Simplify (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) into (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) * [misc]backup-simplify: Simplify (* (- (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2)))) into (* (cos (/ 1 lambda1)) (* (- (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))) (cos (/ 1 lambda2)))) * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 lambda1)) (* (- (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))) (cos (/ 1 lambda2)))) in lambda1 * [misc]taylor: Taking taylor expansion of (cos (/ 1 lambda1)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) * [misc]taylor: Taking taylor expansion of (* (- (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))) (cos (/ 1 lambda2))) in lambda1 * [misc]taylor: Taking taylor expansion of (- (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))) in lambda1 * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) in lambda1 * [misc]taylor: Taking taylor expansion of (cos (/ 1 lambda1)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 lambda2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (/ 1 lambda2) into (/ 1 lambda2) * [misc]backup-simplify: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) * [misc]backup-simplify: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda1 * [misc]taylor: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (/ 1 lambda2) into (/ 1 lambda2) * [misc]backup-simplify: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) * [misc]backup-simplify: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 lambda2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (/ 1 lambda2) into (/ 1 lambda2) * [misc]backup-simplify: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) * [misc]backup-simplify: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) * [misc]backup-simplify: Simplify (* (cos (/ 1 lambda2)) 1) into (cos (/ 1 lambda2)) * [misc]backup-simplify: Simplify (* (sin (/ 1 lambda2)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1 lambda2)) 0) into (cos (/ 1 lambda2)) * [misc]backup-simplify: Simplify (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) into (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) * [misc]backup-simplify: Simplify (* (sin (/ 1 lambda2)) 1) into (sin (/ 1 lambda2)) * [misc]backup-simplify: Simplify (* (cos (/ 1 lambda2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 lambda2)) 0) into (sin (/ 1 lambda2)) * [misc]backup-simplify: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) * [misc]backup-simplify: Simplify (- (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))) into (- (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))) * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (- (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))))) into (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))) * [misc]backup-simplify: Simplify (* (cos (/ 1 lambda2)) 1) into (cos (/ 1 lambda2)) * [misc]backup-simplify: Simplify (* (sin (/ 1 lambda2)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1 lambda2)) 0) into (cos (/ 1 lambda2)) * [misc]backup-simplify: Simplify (* (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))) (cos (/ 1 lambda2))) into (* (cos (/ 1 lambda2)) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))))) * [misc]backup-simplify: Simplify (* (cos (/ 1 lambda1)) (* (cos (/ 1 lambda2)) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))))) into (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))))) * [misc]backup-simplify: Simplify (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))))) into (* (cos (/ 1 lambda1)) (* (cos (/ 1 lambda2)) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 lambda1)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 lambda2)) 0) (* 0 (cos (/ 1 lambda1)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 lambda1)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 lambda2)) 0) (* 0 (cos (/ 1 lambda1)))) into 0 * [misc]backup-simplify: Simplify (+ 0) 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))) 0) (* 0 (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 lambda2)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 lambda2)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 lambda1)) 0) (* 0 (cos (/ 1 lambda2)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 lambda2)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 (sin (/ 1 lambda1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))) 0) (* 0 (cos (/ 1 lambda2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 lambda1)) 0) (* 0 (* (cos (/ 1 lambda2)) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 (cos (/ 1 lambda1))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 (cos (/ 1 lambda1))))) 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))) 0) (+ (* 0 0) (* 0 (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 (cos (/ 1 lambda2))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))) 0) (+ (* 0 0) (* 0 (cos (/ 1 lambda2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 (* (cos (/ 1 lambda2)) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 lambda1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 lambda1)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 lambda1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 lambda1)))))) 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 lambda1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) 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 lambda1)) 0) (+ (* 0 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 0) (* 0 (sin (/ 1 lambda1)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (cos (/ 1 (/ 1 lambda1))) (* (cos (/ 1 (/ 1 lambda2))) (- (* (cos (/ 1 (/ 1 lambda2))) (cos (/ 1 (/ 1 lambda1)))) (* (sin (/ 1 (/ 1 lambda2))) (sin (/ 1 (/ 1 lambda1))))))) into (* (cos lambda1) (* (- (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (cos lambda2))) * [misc]approximate: Taking taylor expansion of (* (- (* (cos (/ 1 (- lambda2))) (cos (/ 1 (- lambda1)))) (* (sin (/ 1 (- lambda2))) (sin (/ 1 (- lambda1))))) (* (cos (/ 1 (- lambda2))) (cos (/ 1 (- lambda1))))) in (lambda2 lambda1) around 0 * [misc]taylor: Taking taylor expansion of (* (- (* (cos (/ 1 (- lambda2))) (cos (/ 1 (- lambda1)))) (* (sin (/ 1 (- lambda2))) (sin (/ 1 (- lambda1))))) (* (cos (/ 1 (- lambda2))) (cos (/ 1 (- lambda1))))) in lambda1 * [misc]taylor: Taking taylor expansion of (- (* (cos (/ 1 (- lambda2))) (cos (/ 1 (- lambda1)))) (* (sin (/ 1 (- lambda2))) (sin (/ 1 (- lambda1))))) in lambda1 * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 (- lambda2))) (cos (/ 1 (- lambda1)))) in lambda1 * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- lambda2))) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda2)) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (/ 1 (- lambda2)) into (/ -1 lambda2) * [misc]backup-simplify: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2)) * [misc]backup-simplify: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- lambda1))) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda1)) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda1) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- lambda1))) into (cos (/ -1 lambda1)) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- lambda2))) (sin (/ 1 (- lambda1)))) in lambda1 * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- lambda2))) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda2)) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (/ 1 (- lambda2)) into (/ -1 lambda2) * [misc]backup-simplify: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) * [misc]backup-simplify: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- lambda1))) 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 (* (cos (/ 1 (- lambda2))) (cos (/ 1 (- lambda1)))) in lambda1 * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- lambda2))) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda2)) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (/ 1 (- lambda2)) into (/ -1 lambda2) * [misc]backup-simplify: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2)) * [misc]backup-simplify: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- lambda1))) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda1)) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda1) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- lambda1))) into (cos (/ -1 lambda1)) * [misc]taylor: Taking taylor expansion of (* (- (* (cos (/ 1 (- lambda2))) (cos (/ 1 (- lambda1)))) (* (sin (/ 1 (- lambda2))) (sin (/ 1 (- lambda1))))) (* (cos (/ 1 (- lambda2))) (cos (/ 1 (- lambda1))))) in lambda2 * [misc]taylor: Taking taylor expansion of (- (* (cos (/ 1 (- lambda2))) (cos (/ 1 (- lambda1)))) (* (sin (/ 1 (- lambda2))) (sin (/ 1 (- lambda1))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 (- lambda2))) (cos (/ 1 (- lambda1)))) in lambda2 * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- lambda2))) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of (- lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- lambda2))) into (cos (/ -1 lambda2)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- lambda1))) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda1)) in lambda2 * [misc]taylor: Taking taylor expansion of (- lambda1) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (/ 1 (- lambda1)) into (/ -1 lambda1) * [misc]backup-simplify: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) * [misc]backup-simplify: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- lambda2))) (sin (/ 1 (- lambda1)))) in lambda2 * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- lambda2))) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of (- lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- lambda2))) into (sin (/ -1 lambda2)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- lambda1))) 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 (* (cos (/ 1 (- lambda2))) (cos (/ 1 (- lambda1)))) in lambda2 * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- lambda2))) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of (- lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- lambda2))) into (cos (/ -1 lambda2)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- lambda1))) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda1)) in lambda2 * [misc]taylor: Taking taylor expansion of (- lambda1) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (/ 1 (- lambda1)) into (/ -1 lambda1) * [misc]backup-simplify: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) * [misc]backup-simplify: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) * [misc]taylor: Taking taylor expansion of (* (- (* (cos (/ 1 (- lambda2))) (cos (/ 1 (- lambda1)))) (* (sin (/ 1 (- lambda2))) (sin (/ 1 (- lambda1))))) (* (cos (/ 1 (- lambda2))) (cos (/ 1 (- lambda1))))) in lambda2 * [misc]taylor: Taking taylor expansion of (- (* (cos (/ 1 (- lambda2))) (cos (/ 1 (- lambda1)))) (* (sin (/ 1 (- lambda2))) (sin (/ 1 (- lambda1))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 (- lambda2))) (cos (/ 1 (- lambda1)))) in lambda2 * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- lambda2))) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of (- lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- lambda2))) into (cos (/ -1 lambda2)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- lambda1))) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda1)) in lambda2 * [misc]taylor: Taking taylor expansion of (- lambda1) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (/ 1 (- lambda1)) into (/ -1 lambda1) * [misc]backup-simplify: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) * [misc]backup-simplify: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- lambda2))) (sin (/ 1 (- lambda1)))) in lambda2 * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- lambda2))) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of (- lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- lambda2))) into (sin (/ -1 lambda2)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- lambda1))) 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 (* (cos (/ 1 (- lambda2))) (cos (/ 1 (- lambda1)))) in lambda2 * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- lambda2))) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of (- lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- lambda2))) into (cos (/ -1 lambda2)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- lambda1))) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda1)) in lambda2 * [misc]taylor: Taking taylor expansion of (- lambda1) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (/ 1 (- lambda1)) into (/ -1 lambda1) * [misc]backup-simplify: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) * [misc]backup-simplify: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) * [misc]backup-simplify: Simplify (* (cos (/ -1 lambda1)) 1) into (cos (/ -1 lambda1)) * [misc]backup-simplify: Simplify (* (sin (/ -1 lambda1)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1 lambda1)) 0) into (cos (/ -1 lambda1)) * [misc]backup-simplify: Simplify (* (cos (/ -1 lambda2)) (cos (/ -1 lambda1))) into (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) * [misc]backup-simplify: Simplify (* (sin (/ -1 lambda1)) 1) into (sin (/ -1 lambda1)) * [misc]backup-simplify: Simplify (* (cos (/ -1 lambda1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 lambda1)) 0) into (sin (/ -1 lambda1)) * [misc]backup-simplify: Simplify (* (sin (/ -1 lambda2)) (sin (/ -1 lambda1))) 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 (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (- (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))) into (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))) * [misc]backup-simplify: Simplify (* (cos (/ -1 lambda1)) 1) into (cos (/ -1 lambda1)) * [misc]backup-simplify: Simplify (* (sin (/ -1 lambda1)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1 lambda1)) 0) into (cos (/ -1 lambda1)) * [misc]backup-simplify: Simplify (* (cos (/ -1 lambda2)) (cos (/ -1 lambda1))) into (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) * [misc]backup-simplify: Simplify (* (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))) (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2)))) into (* (cos (/ -1 lambda1)) (* (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))) (cos (/ -1 lambda2)))) * [misc]taylor: Taking taylor expansion of (* (cos (/ -1 lambda1)) (* (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))) (cos (/ -1 lambda2)))) in lambda1 * [misc]taylor: Taking taylor expansion of (cos (/ -1 lambda1)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ -1 lambda1) in lambda1 * [misc]taylor: Taking taylor expansion of -1 in lambda1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) * [misc]taylor: Taking taylor expansion of (* (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))) (cos (/ -1 lambda2))) in lambda1 * [misc]taylor: Taking taylor expansion of (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))) in lambda1 * [misc]taylor: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in lambda1 * [misc]taylor: Taking taylor expansion of (cos (/ -1 lambda1)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ -1 lambda1) in lambda1 * [misc]taylor: Taking taylor expansion of -1 in lambda1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) * [misc]taylor: Taking taylor expansion of (cos (/ -1 lambda2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ -1 lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of -1 in lambda1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (/ -1 lambda2) into (/ -1 lambda2) * [misc]backup-simplify: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2)) * [misc]backup-simplify: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) * [misc]taylor: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 * [misc]taylor: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ -1 lambda1) in lambda1 * [misc]taylor: Taking taylor expansion of -1 in lambda1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) * [misc]taylor: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ -1 lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of -1 in lambda1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (/ -1 lambda2) into (/ -1 lambda2) * [misc]backup-simplify: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) * [misc]backup-simplify: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2)) * [misc]taylor: Taking taylor expansion of (cos (/ -1 lambda2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ -1 lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of -1 in lambda1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (/ -1 lambda2) into (/ -1 lambda2) * [misc]backup-simplify: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2)) * [misc]backup-simplify: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) * [misc]backup-simplify: Simplify (* (cos (/ -1 lambda2)) 1) into (cos (/ -1 lambda2)) * [misc]backup-simplify: Simplify (* (sin (/ -1 lambda2)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1 lambda2)) 0) into (cos (/ -1 lambda2)) * [misc]backup-simplify: Simplify (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) into (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) * [misc]backup-simplify: Simplify (* (sin (/ -1 lambda2)) 1) into (sin (/ -1 lambda2)) * [misc]backup-simplify: Simplify (* (cos (/ -1 lambda2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 lambda2)) 0) into (sin (/ -1 lambda2)) * [misc]backup-simplify: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) * [misc]backup-simplify: Simplify (- (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))) into (- (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))) * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (- (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))) into (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))) * [misc]backup-simplify: Simplify (* (cos (/ -1 lambda2)) 1) into (cos (/ -1 lambda2)) * [misc]backup-simplify: Simplify (* (sin (/ -1 lambda2)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1 lambda2)) 0) into (cos (/ -1 lambda2)) * [misc]backup-simplify: Simplify (* (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))) (cos (/ -1 lambda2))) into (* (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))) (cos (/ -1 lambda2))) * [misc]backup-simplify: Simplify (* (cos (/ -1 lambda1)) (* (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))) (cos (/ -1 lambda2)))) into (* (cos (/ -1 lambda1)) (* (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))) (cos (/ -1 lambda2)))) * [misc]backup-simplify: Simplify (* (cos (/ -1 lambda1)) (* (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))) (cos (/ -1 lambda2)))) into (* (cos (/ -1 lambda1)) (* (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))) (cos (/ -1 lambda2)))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 lambda1)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 lambda1) (/ 0 (- lambda1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 lambda2)) 0) (* 0 (cos (/ -1 lambda1)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 lambda1)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 lambda1) (/ 0 (- lambda1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 lambda2)) 0) (* 0 (cos (/ -1 lambda1)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 lambda1) (/ 0 (- lambda1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 lambda1)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 lambda2)) 0) (* 0 (sin (/ -1 lambda1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))) 0) (* 0 (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 lambda2)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 lambda2)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 lambda2)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 lambda2)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 lambda1)) 0) (* 0 (cos (/ -1 lambda2)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 lambda2)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 lambda2)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (sin (/ -1 lambda2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))) 0) (* 0 (cos (/ -1 lambda2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 lambda1)) 0) (* 0 (* (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))) (cos (/ -1 lambda2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 lambda1) (/ 0 (- lambda1))) (* 0 (/ 0 (- lambda1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 (cos (/ -1 lambda1))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 lambda1) (/ 0 (- lambda1))) (* 0 (/ 0 (- lambda1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 (cos (/ -1 lambda1))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 lambda1) (/ 0 (- lambda1))) (* 0 (/ 0 (- lambda1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))) 0) (+ (* 0 0) (* 0 (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (cos (/ -1 lambda2))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))) 0) (+ (* 0 0) (* 0 (cos (/ -1 lambda2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (* (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))) (cos (/ -1 lambda2)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 lambda1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 lambda1) (/ 0 (- lambda1))) (* 0 (/ 0 (- lambda1))) (* 0 (/ 0 (- lambda1))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 lambda1)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 lambda1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 lambda1) (/ 0 (- lambda1))) (* 0 (/ 0 (- lambda1))) (* 0 (/ 0 (- lambda1))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 lambda1)))))) 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 lambda1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 lambda1) (/ 0 (- lambda1))) (* 0 (/ 0 (- lambda1))) (* 0 (/ 0 (- lambda1))))) 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 lambda1)) 0) (+ (* 0 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 0) (* 0 (sin (/ -1 lambda1)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (cos (/ -1 (/ 1 (- lambda1)))) (* (- (* (cos (/ -1 (/ 1 (- lambda1)))) (cos (/ -1 (/ 1 (- lambda2))))) (* (sin (/ -1 (/ 1 (- lambda1)))) (sin (/ -1 (/ 1 (- lambda2)))))) (cos (/ -1 (/ 1 (- lambda2)))))) into (* (cos lambda1) (* (- (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (cos lambda2))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1 2 2 1 1) * [misc]approximate: Taking taylor expansion of (pow (* (sin lambda1) (sin lambda2)) 3) in (lambda1 lambda2) around 0 * [misc]taylor: Taking taylor expansion of (pow (* (sin lambda1) (sin lambda2)) 3) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (* (sin lambda1) (sin lambda2))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 3 (log (* (sin lambda1) (sin lambda2)))) in lambda2 * [misc]taylor: Taking taylor expansion of 3 in lambda2 * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (* (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]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 (/ (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 (log (sin lambda1)) into (log (sin lambda1)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log lambda2)) (log (sin lambda1))) into (+ (log (sin lambda1)) (log lambda2)) * [misc]backup-simplify: Simplify (* 3 (+ (log (sin lambda1)) (log lambda2))) into (* 3 (+ (log (sin lambda1)) (log lambda2))) * [misc]backup-simplify: Simplify (exp (* 3 (+ (log (sin lambda1)) (log lambda2)))) into (exp (* 3 (+ (log (sin lambda1)) (log lambda2)))) * [misc]taylor: Taking taylor expansion of (pow (* (sin lambda1) (sin lambda2)) 3) in lambda1 * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (* (sin lambda1) (sin lambda2))))) in lambda1 * [misc]taylor: Taking taylor expansion of (* 3 (log (* (sin lambda1) (sin lambda2)))) in lambda1 * [misc]taylor: Taking taylor expansion of 3 in lambda1 * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (* (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]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (sin lambda2) into (sin lambda2) * [misc]backup-simplify: Simplify (cos lambda2) into (cos lambda2) * [misc]backup-simplify: Simplify (* (sin lambda2) 1) into (sin lambda2) * [misc]backup-simplify: Simplify (* (cos lambda2) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin lambda2) 0) into (sin lambda2) * [misc]backup-simplify: Simplify (* 0 (sin lambda2)) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin lambda2) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos lambda2) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (sin lambda2))) into (sin lambda2) * [misc]backup-simplify: Simplify (log (sin lambda2)) into (log (sin lambda2)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log lambda1)) (log (sin lambda2))) into (+ (log (sin lambda2)) (log lambda1)) * [misc]backup-simplify: Simplify (* 3 (+ (log (sin lambda2)) (log lambda1))) into (* 3 (+ (log (sin lambda2)) (log lambda1))) * [misc]backup-simplify: Simplify (exp (* 3 (+ (log (sin lambda2)) (log lambda1)))) into (exp (* 3 (+ (log (sin lambda2)) (log lambda1)))) * [misc]taylor: Taking taylor expansion of (pow (* (sin lambda1) (sin lambda2)) 3) in lambda1 * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (* (sin lambda1) (sin lambda2))))) in lambda1 * [misc]taylor: Taking taylor expansion of (* 3 (log (* (sin lambda1) (sin lambda2)))) in lambda1 * [misc]taylor: Taking taylor expansion of 3 in lambda1 * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (* (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]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (sin lambda2) into (sin lambda2) * [misc]backup-simplify: Simplify (cos lambda2) into (cos lambda2) * [misc]backup-simplify: Simplify (* (sin lambda2) 1) into (sin lambda2) * [misc]backup-simplify: Simplify (* (cos lambda2) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin lambda2) 0) into (sin lambda2) * [misc]backup-simplify: Simplify (* 0 (sin lambda2)) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin lambda2) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos lambda2) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (sin lambda2))) into (sin lambda2) * [misc]backup-simplify: Simplify (log (sin lambda2)) into (log (sin lambda2)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log lambda1)) (log (sin lambda2))) into (+ (log (sin lambda2)) (log lambda1)) * [misc]backup-simplify: Simplify (* 3 (+ (log (sin lambda2)) (log lambda1))) into (* 3 (+ (log (sin lambda2)) (log lambda1))) * [misc]backup-simplify: Simplify (exp (* 3 (+ (log (sin lambda2)) (log lambda1)))) into (exp (* 3 (+ (log (sin lambda2)) (log lambda1)))) * [misc]taylor: Taking taylor expansion of (exp (* 3 (+ (log (sin lambda2)) (log lambda1)))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 3 (+ (log (sin lambda2)) (log lambda1))) in lambda2 * [misc]taylor: Taking taylor expansion of 3 in lambda2 * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (+ (log (sin lambda2)) (log lambda1)) in lambda2 * [misc]taylor: Taking taylor expansion of (log (sin lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of (sin lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log lambda1) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (log lambda1) into (log lambda1) * [misc]backup-simplify: Simplify (+ (* (- -1) (log lambda2)) 0) into (log lambda2) * [misc]backup-simplify: Simplify (+ (log lambda2) (log lambda1)) into (+ (log lambda2) (log lambda1)) * [misc]backup-simplify: Simplify (* 3 (+ (log lambda2) (log lambda1))) into (* 3 (+ (log lambda2) (log lambda1))) * [misc]backup-simplify: Simplify (exp (* 3 (+ (log lambda2) (log lambda1)))) into (exp (* 3 (+ (log lambda2) (log lambda1)))) * [misc]backup-simplify: Simplify (exp (* 3 (+ (log lambda2) (log lambda1)))) into (exp (* 3 (+ (log lambda2) (log lambda1)))) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin lambda2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sin lambda2) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log lambda1)) (log (sin lambda2))) into (+ (log (sin lambda2)) (log lambda1)) * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (+ (log (sin lambda2)) (log lambda1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (+ (log (sin lambda2)) (log 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 (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (+ (log lambda2) (log lambda1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (+ (log lambda2) (log lambda1)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* (- 1/6) (sin lambda2))))) into (- (* 1/6 (sin lambda2))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sin lambda2) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/6 (sin lambda2)))) 1)) (pow (sin lambda2) 1)))) 2) into -1/6 * [misc]backup-simplify: Simplify (+ (* (- -1) (log lambda1)) (log (sin lambda2))) into (+ (log (sin lambda2)) (log lambda1)) * [misc]backup-simplify: Simplify (+ (* 3 -1/6) (+ (* 0 0) (* 0 (+ (log (sin lambda2)) (log lambda1))))) into (- 1/2) * [misc]backup-simplify: Simplify (* (exp (* 3 (+ (log (sin lambda2)) (log lambda1)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- 1/2) 1) 1)))) into (* -1/2 (exp (* 3 (+ (log (sin lambda2)) (log lambda1))))) * [misc]taylor: Taking taylor expansion of (* -1/2 (exp (* 3 (+ (log (sin lambda2)) (log lambda1))))) 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 (exp (* 3 (+ (log (sin lambda2)) (log lambda1)))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 3 (+ (log (sin lambda2)) (log lambda1))) in lambda2 * [misc]taylor: Taking taylor expansion of 3 in lambda2 * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (+ (log (sin lambda2)) (log lambda1)) in lambda2 * [misc]taylor: Taking taylor expansion of (log (sin lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of (sin lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log lambda1) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (log lambda1) into (log lambda1) * [misc]backup-simplify: Simplify (+ (* (- -1) (log lambda2)) 0) into (log lambda2) * [misc]backup-simplify: Simplify (+ (log lambda2) (log lambda1)) into (+ (log lambda2) (log lambda1)) * [misc]backup-simplify: Simplify (* 3 (+ (log lambda2) (log lambda1))) into (* 3 (+ (log lambda2) (log lambda1))) * [misc]backup-simplify: Simplify (exp (* 3 (+ (log lambda2) (log lambda1)))) into (exp (* 3 (+ (log lambda2) (log lambda1)))) * [misc]backup-simplify: Simplify (* -1/2 (exp (* 3 (+ (log lambda2) (log lambda1))))) into (* -1/2 (exp (* 3 (+ (log lambda2) (log lambda1))))) * [misc]backup-simplify: Simplify (* -1/2 (exp (* 3 (+ (log lambda2) (log lambda1))))) into (* -1/2 (exp (* 3 (+ (log lambda2) (log lambda1))))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- 1/6)) 1)) (pow 1 1)))) 2) into -1/6 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow lambda1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow lambda1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ -1/6 0) into -1/6 * [misc]backup-simplify: Simplify (+ (* 3 -1/6) (+ (* 0 0) (* 0 (+ (log lambda2) (log lambda1))))) into (- 1/2) * [misc]backup-simplify: Simplify (* (exp (* 3 (+ (log lambda2) (log lambda1)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- 1/2) 1) 1)))) into (* -1/2 (exp (* 3 (+ (log lambda2) (log lambda1))))) * [misc]backup-simplify: Simplify (* -1/2 (exp (* 3 (+ (log lambda2) (log lambda1))))) into (* -1/2 (exp (* 3 (+ (log lambda2) (log lambda1))))) * [misc]backup-simplify: Simplify (+ (* (* -1/2 (exp (* 3 (+ (log lambda2) (log lambda1))))) (pow (* lambda2 1) 2)) (+ (* (* -1/2 (exp (* 3 (+ (log lambda2) (log lambda1))))) (pow (* 1 lambda1) 2)) (exp (* 3 (+ (log lambda2) (log lambda1)))))) into (- (exp (* 3 (+ (log lambda2) (log lambda1)))) (+ (* 1/2 (* (exp (* 3 (+ (log lambda2) (log lambda1)))) (pow lambda2 2))) (* 1/2 (* (pow lambda1 2) (exp (* 3 (+ (log lambda2) (log lambda1)))))))) * [misc]approximate: Taking taylor expansion of (pow (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) 3) in (lambda1 lambda2) around 0 * [misc]taylor: Taking taylor expansion of (pow (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) 3) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 3 (log (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))) in lambda2 * [misc]taylor: Taking taylor expansion of 3 in lambda2 * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (* (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 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 lambda2)) (sin (/ 1 lambda1))) * [misc]backup-simplify: Simplify (log (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))) into (log (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))) * [misc]backup-simplify: Simplify (* 3 (log (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))))) into (* 3 (log (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))))) * [misc]backup-simplify: Simplify (exp (* 3 (log (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))))) into (pow (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 3) * [misc]taylor: Taking taylor expansion of (pow (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) 3) in lambda1 * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))))) in lambda1 * [misc]taylor: Taking taylor expansion of (* 3 (log (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))) in lambda1 * [misc]taylor: Taking taylor expansion of 3 in lambda1 * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (* (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 lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (/ 1 lambda2) into (/ 1 lambda2) * [misc]backup-simplify: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) * [misc]backup-simplify: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) * [misc]backup-simplify: Simplify (* (sin (/ 1 lambda2)) 1) into (sin (/ 1 lambda2)) * [misc]backup-simplify: Simplify (* (cos (/ 1 lambda2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 lambda2)) 0) into (sin (/ 1 lambda2)) * [misc]backup-simplify: Simplify (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) * [misc]backup-simplify: Simplify (log (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))) into (log (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))) * [misc]backup-simplify: Simplify (* 3 (log (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))))) into (* 3 (log (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))))) * [misc]backup-simplify: Simplify (exp (* 3 (log (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))))) into (pow (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 3) * [misc]taylor: Taking taylor expansion of (pow (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) 3) in lambda1 * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))))) in lambda1 * [misc]taylor: Taking taylor expansion of (* 3 (log (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))) in lambda1 * [misc]taylor: Taking taylor expansion of 3 in lambda1 * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (* (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 lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (/ 1 lambda2) into (/ 1 lambda2) * [misc]backup-simplify: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) * [misc]backup-simplify: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) * [misc]backup-simplify: Simplify (* (sin (/ 1 lambda2)) 1) into (sin (/ 1 lambda2)) * [misc]backup-simplify: Simplify (* (cos (/ 1 lambda2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 lambda2)) 0) into (sin (/ 1 lambda2)) * [misc]backup-simplify: Simplify (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) * [misc]backup-simplify: Simplify (log (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))) into (log (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))) * [misc]backup-simplify: Simplify (* 3 (log (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))))) into (* 3 (log (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))))) * [misc]backup-simplify: Simplify (exp (* 3 (log (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))))) into (pow (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 3) * [misc]taylor: Taking taylor expansion of (pow (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 3) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 3 (log (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))))) in lambda2 * [misc]taylor: Taking taylor expansion of 3 in lambda2 * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))) in lambda2 * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda2 * [misc]taylor: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (/ 1 lambda1) into (/ 1 lambda1) * [misc]backup-simplify: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) * [misc]backup-simplify: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) * [misc]backup-simplify: Simplify (* (sin (/ 1 lambda1)) 1) into (sin (/ 1 lambda1)) * [misc]backup-simplify: Simplify (* (cos (/ 1 lambda1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 lambda1)) 0) into (sin (/ 1 lambda1)) * [misc]backup-simplify: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) * [misc]backup-simplify: Simplify (log (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))) into (log (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))) * [misc]backup-simplify: Simplify (* 3 (log (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))))) into (* 3 (log (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))))) * [misc]backup-simplify: Simplify (exp (* 3 (log (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))))) into (pow (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 3) * [misc]backup-simplify: Simplify (pow (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 3) into (pow (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 3) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 lambda2)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 (sin (/ 1 lambda2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (* (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 (+ 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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda2))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda2)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (* (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]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 (pow (* (sin (/ 1 (/ 1 lambda2))) (sin (/ 1 (/ 1 lambda1)))) 3) into (pow (* (sin lambda2) (sin lambda1)) 3) * [misc]approximate: Taking taylor expansion of (pow (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) 3) in (lambda1 lambda2) around 0 * [misc]taylor: Taking taylor expansion of (pow (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) 3) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 3 (log (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))) in lambda2 * [misc]taylor: Taking taylor expansion of 3 in lambda2 * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (* (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 (- lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- lambda2))) into (sin (/ -1 lambda2)) * [misc]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 (log (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))) into (log (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))) * [misc]backup-simplify: Simplify (* 3 (log (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))) into (* 3 (log (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))) * [misc]backup-simplify: Simplify (exp (* 3 (log (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) into (pow (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 3) * [misc]taylor: Taking taylor expansion of (pow (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) 3) in lambda1 * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))))) in lambda1 * [misc]taylor: Taking taylor expansion of (* 3 (log (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))) in lambda1 * [misc]taylor: Taking taylor expansion of 3 in lambda1 * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (* (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 (- lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (/ 1 (- lambda2)) into (/ -1 lambda2) * [misc]backup-simplify: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) * [misc]backup-simplify: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2)) * [misc]backup-simplify: Simplify (* (sin (/ -1 lambda2)) 1) into (sin (/ -1 lambda2)) * [misc]backup-simplify: Simplify (* (cos (/ -1 lambda2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 lambda2)) 0) into (sin (/ -1 lambda2)) * [misc]backup-simplify: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) * [misc]backup-simplify: Simplify (log (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))) into (log (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))) * [misc]backup-simplify: Simplify (* 3 (log (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))) into (* 3 (log (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))) * [misc]backup-simplify: Simplify (exp (* 3 (log (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) into (pow (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 3) * [misc]taylor: Taking taylor expansion of (pow (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) 3) in lambda1 * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))))) in lambda1 * [misc]taylor: Taking taylor expansion of (* 3 (log (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))) in lambda1 * [misc]taylor: Taking taylor expansion of 3 in lambda1 * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (* (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 (- lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (/ 1 (- lambda2)) into (/ -1 lambda2) * [misc]backup-simplify: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) * [misc]backup-simplify: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2)) * [misc]backup-simplify: Simplify (* (sin (/ -1 lambda2)) 1) into (sin (/ -1 lambda2)) * [misc]backup-simplify: Simplify (* (cos (/ -1 lambda2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 lambda2)) 0) into (sin (/ -1 lambda2)) * [misc]backup-simplify: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) * [misc]backup-simplify: Simplify (log (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))) into (log (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))) * [misc]backup-simplify: Simplify (* 3 (log (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))) into (* 3 (log (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))) * [misc]backup-simplify: Simplify (exp (* 3 (log (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) into (pow (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 3) * [misc]taylor: Taking taylor expansion of (pow (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 3) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 3 (log (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))) in lambda2 * [misc]taylor: Taking taylor expansion of 3 in lambda2 * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (* (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 -1 in lambda2 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (/ -1 lambda1) into (/ -1 lambda1) * [misc]backup-simplify: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) * [misc]backup-simplify: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) * [misc]taylor: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ -1 lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of -1 in lambda2 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) * [misc]backup-simplify: Simplify (* (sin (/ -1 lambda1)) 1) into (sin (/ -1 lambda1)) * [misc]backup-simplify: Simplify (* (cos (/ -1 lambda1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 lambda1)) 0) into (sin (/ -1 lambda1)) * [misc]backup-simplify: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) * [misc]backup-simplify: Simplify (log (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))) into (log (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))) * [misc]backup-simplify: Simplify (* 3 (log (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))) into (* 3 (log (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))) * [misc]backup-simplify: Simplify (exp (* 3 (log (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) into (pow (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 3) * [misc]backup-simplify: Simplify (pow (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 3) into (pow (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 3) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 lambda2)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 lambda2) (/ 0 (- lambda2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 lambda2)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (sin (/ -1 lambda2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 lambda2) (/ 0 (- lambda2))) (* 0 (/ 0 (- lambda2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 lambda2) (/ 0 (- lambda2))) (* 0 (/ 0 (- lambda2))) (* 0 (/ 0 (- lambda2))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (* (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]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 (pow (* (sin (/ -1 (/ 1 (- lambda1)))) (sin (/ -1 (/ 1 (- lambda2))))) 3) into (pow (* (sin lambda2) (sin lambda1)) 3) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI 2) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ PI 2) * [exit]simplify: Simplified to (/ PI 2) * [enter]simplify: Simplifying (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (/ (+ (pow (* (sin lambda1) (sin lambda2)) 3) (pow (* (cos lambda2) (cos lambda1)) 3)) (+ (* (- (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos lambda2) (cos lambda1))) (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1)))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (150 enodes) * * [misc]simplify: iters left: 3 (366 enodes) * [exit]simplify: Simplified to (asin (+ (* (sin phi2) (sin phi1)) (/ (+ (* (* (* (sin lambda2) (sin lambda1)) (* (cos phi2) (cos phi1))) (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1)))) (* (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (* (* (cos lambda1) (cos lambda2)) (* (cos phi2) (cos phi1))))) (+ (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))) (* (- (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos lambda1) (cos lambda2))))))) * [exit]simplify: Simplified to (asin (+ (* (sin phi2) (sin phi1)) (/ (+ (* (* (* (sin lambda2) (sin lambda1)) (* (cos phi2) (cos phi1))) (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1)))) (* (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (* (* (cos lambda1) (cos lambda2)) (* (cos phi2) (cos phi1))))) (+ (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))) (* (- (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos lambda1) (cos lambda2))))))) * * * * [misc]progress: [ 2 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (/ (+ (pow (* (sin lambda1) (sin lambda2)) 3) (pow (* (cos lambda2) (cos lambda1)) 3)) (+ (* (- (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos lambda2) (cos lambda1))) (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (153 enodes) * * [misc]simplify: iters left: 3 (367 enodes) * [exit]simplify: Simplified to (log (acos (+ (* (sin phi2) (sin phi1)) (/ (+ (* (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))) (* (* (sin lambda2) (sin lambda1)) (* (cos phi2) (cos phi1)))) (* (* (* (cos lambda1) (cos lambda2)) (* (cos phi2) (cos phi1))) (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))))) (+ (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))) (* (- (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos lambda1) (cos lambda2)))))))) * [exit]simplify: Simplified to (log (acos (+ (* (sin phi2) (sin phi1)) (/ (+ (* (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))) (* (* (sin lambda2) (sin lambda1)) (* (cos phi2) (cos phi1)))) (* (* (* (cos lambda1) (cos lambda2)) (* (cos phi2) (cos phi1))) (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))))) (+ (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))) (* (- (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos lambda1) (cos lambda2)))))))) * * * * [misc]progress: [ 4 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (/ (+ (pow (* (sin lambda1) (sin lambda2)) 3) (pow (* (cos lambda2) (cos lambda1)) 3)) (+ (* (- (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos lambda2) (cos lambda1))) (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (153 enodes) * * [misc]simplify: iters left: 3 (367 enodes) * [exit]simplify: Simplified to (exp (acos (+ (* (sin phi2) (sin phi1)) (/ (+ (* (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))) (* (* (sin lambda2) (sin lambda1)) (* (cos phi2) (cos phi1)))) (* (* (* (cos lambda1) (cos lambda2)) (* (cos phi2) (cos phi1))) (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))))) (+ (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))) (* (- (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos lambda1) (cos lambda2)))))))) * [exit]simplify: Simplified to (exp (acos (+ (* (sin phi2) (sin phi1)) (/ (+ (* (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))) (* (* (sin lambda2) (sin lambda1)) (* (cos phi2) (cos phi1)))) (* (* (* (cos lambda1) (cos lambda2)) (* (cos phi2) (cos phi1))) (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))))) (+ (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))) (* (- (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos lambda1) (cos lambda2)))))))) * * * * [misc]progress: [ 5 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (/ (+ (pow (* (sin lambda1) (sin lambda2)) 3) (pow (* (cos lambda2) (cos lambda1)) 3)) (+ (* (- (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos lambda2) (cos lambda1))) (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (/ (+ (pow (* (sin lambda1) (sin lambda2)) 3) (pow (* (cos lambda2) (cos lambda1)) 3)) (+ (* (- (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos lambda2) (cos lambda1))) (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1)))))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (154 enodes) * * [misc]simplify: iters left: 3 (364 enodes) * [exit]simplify: Simplified to (* (cbrt (acos (+ (* (sin phi2) (sin phi1)) (/ (+ (* (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))) (* (* (sin lambda2) (sin lambda1)) (* (cos phi2) (cos phi1)))) (* (* (* (cos lambda1) (cos lambda2)) (* (cos phi2) (cos phi1))) (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))))) (+ (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))) (* (- (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos lambda1) (cos lambda2)))))))) (cbrt (acos (+ (* (sin phi2) (sin phi1)) (/ (+ (* (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))) (* (* (sin lambda2) (sin lambda1)) (* (cos phi2) (cos phi1)))) (* (* (* (cos lambda1) (cos lambda2)) (* (cos phi2) (cos phi1))) (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))))) (+ (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))) (* (- (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos lambda1) (cos lambda2))))))))) * [exit]simplify: Simplified to (* (cbrt (acos (+ (* (sin phi2) (sin phi1)) (/ (+ (* (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))) (* (* (sin lambda2) (sin lambda1)) (* (cos phi2) (cos phi1)))) (* (* (* (cos lambda1) (cos lambda2)) (* (cos phi2) (cos phi1))) (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))))) (+ (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))) (* (- (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos lambda1) (cos lambda2)))))))) (cbrt (acos (+ (* (sin phi2) (sin phi1)) (/ (+ (* (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))) (* (* (sin lambda2) (sin lambda1)) (* (cos phi2) (cos phi1)))) (* (* (* (cos lambda1) (cos lambda2)) (* (cos phi2) (cos phi1))) (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))))) (+ (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))) (* (- (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos lambda1) (cos lambda2))))))))) * [enter]simplify: Simplifying (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (/ (+ (pow (* (sin lambda1) (sin lambda2)) 3) (pow (* (cos lambda2) (cos lambda1)) 3)) (+ (* (- (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos lambda2) (cos lambda1))) (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (153 enodes) * * [misc]simplify: iters left: 3 (367 enodes) * [exit]simplify: Simplified to (cbrt (acos (+ (* (sin phi2) (sin phi1)) (/ (+ (* (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))) (* (* (sin lambda2) (sin lambda1)) (* (cos phi2) (cos phi1)))) (* (* (* (cos lambda1) (cos lambda2)) (* (cos phi2) (cos phi1))) (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))))) (+ (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))) (* (- (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos lambda1) (cos lambda2)))))))) * [exit]simplify: Simplified to (cbrt (acos (+ (* (sin phi2) (sin phi1)) (/ (+ (* (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))) (* (* (sin lambda2) (sin lambda1)) (* (cos phi2) (cos phi1)))) (* (* (* (cos lambda1) (cos lambda2)) (* (cos phi2) (cos phi1))) (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))))) (+ (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))) (* (- (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos lambda1) (cos lambda2)))))))) * * * * [misc]progress: [ 6 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (/ (+ (pow (* (sin lambda1) (sin lambda2)) 3) (pow (* (cos lambda2) (cos lambda1)) 3)) (+ (* (- (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos lambda2) (cos lambda1))) (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1)))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (/ (+ (pow (* (sin lambda1) (sin lambda2)) 3) (pow (* (cos lambda2) (cos lambda1)) 3)) (+ (* (- (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos lambda2) (cos lambda1))) (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (/ (+ (pow (* (sin lambda1) (sin lambda2)) 3) (pow (* (cos lambda2) (cos lambda1)) 3)) (+ (* (- (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos lambda2) (cos lambda1))) (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (156 enodes) * * [misc]simplify: iters left: 3 (363 enodes) * [exit]simplify: Simplified to (pow (acos (+ (* (sin phi2) (sin phi1)) (/ (+ (* (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))) (* (* (sin lambda2) (sin lambda1)) (* (cos phi2) (cos phi1)))) (* (* (* (cos lambda1) (cos lambda2)) (* (cos phi2) (cos phi1))) (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))))) (+ (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))) (* (- (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos lambda1) (cos lambda2))))))) 3) * [exit]simplify: Simplified to (pow (acos (+ (* (sin phi2) (sin phi1)) (/ (+ (* (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))) (* (* (sin lambda2) (sin lambda1)) (* (cos phi2) (cos phi1)))) (* (* (* (cos lambda1) (cos lambda2)) (* (cos phi2) (cos phi1))) (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))))) (+ (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))) (* (- (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos lambda1) (cos lambda2))))))) 3) * * * * [misc]progress: [ 7 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (/ (+ (pow (* (sin lambda1) (sin lambda2)) 3) (pow (* (cos lambda2) (cos lambda1)) 3)) (+ (* (- (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos lambda2) (cos lambda1))) (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (153 enodes) * * [misc]simplify: iters left: 3 (367 enodes) * [exit]simplify: Simplified to (sqrt (acos (+ (* (sin phi2) (sin phi1)) (/ (+ (* (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))) (* (* (sin lambda2) (sin lambda1)) (* (cos phi2) (cos phi1)))) (* (* (* (cos lambda1) (cos lambda2)) (* (cos phi2) (cos phi1))) (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))))) (+ (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))) (* (- (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos lambda1) (cos lambda2)))))))) * [exit]simplify: Simplified to (sqrt (acos (+ (* (sin phi2) (sin phi1)) (/ (+ (* (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))) (* (* (sin lambda2) (sin lambda1)) (* (cos phi2) (cos phi1)))) (* (* (* (cos lambda1) (cos lambda2)) (* (cos phi2) (cos phi1))) (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))))) (+ (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))) (* (- (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos lambda1) (cos lambda2)))))))) * [enter]simplify: Simplifying (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (/ (+ (pow (* (sin lambda1) (sin lambda2)) 3) (pow (* (cos lambda2) (cos lambda1)) 3)) (+ (* (- (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos lambda2) (cos lambda1))) (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (153 enodes) * * [misc]simplify: iters left: 3 (367 enodes) * [exit]simplify: Simplified to (sqrt (acos (+ (* (sin phi2) (sin phi1)) (/ (+ (* (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))) (* (* (sin lambda2) (sin lambda1)) (* (cos phi2) (cos phi1)))) (* (* (* (cos lambda1) (cos lambda2)) (* (cos phi2) (cos phi1))) (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))))) (+ (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))) (* (- (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos lambda1) (cos lambda2)))))))) * [exit]simplify: Simplified to (sqrt (acos (+ (* (sin phi2) (sin phi1)) (/ (+ (* (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))) (* (* (sin lambda2) (sin lambda1)) (* (cos phi2) (cos phi1)))) (* (* (* (cos lambda1) (cos lambda2)) (* (cos phi2) (cos phi1))) (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))))) (+ (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))) (* (- (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos lambda1) (cos lambda2)))))))) * * * * [misc]progress: [ 8 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (log (cos lambda2)) (log (cos lambda1))) 3) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (* 3 (+ (log (cos lambda2)) (log (cos lambda1)))) * [exit]simplify: Simplified to (* 3 (+ (log (cos lambda2)) (log (cos lambda1)))) * * * * [misc]progress: [ 10 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (* (cos lambda2) (cos lambda1))) 3) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (* 3 (log (* (cos lambda1) (cos lambda2)))) * [exit]simplify: Simplified to (* 3 (log (* (cos lambda1) (cos lambda2)))) * * * * [misc]progress: [ 11 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (* (cos lambda2) (cos lambda1))) 3) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (* 3 (log (* (cos lambda1) (cos lambda2)))) * [exit]simplify: Simplified to (* 3 (log (* (cos lambda1) (cos lambda2)))) * * * * [misc]progress: [ 12 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1 3) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to 3 * [exit]simplify: Simplified to 3 * * * * [misc]progress: [ 13 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1 3) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to 3 * [exit]simplify: Simplified to 3 * * * * [misc]progress: [ 14 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (cos lambda2) 3) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (pow (cos lambda2) 3) * [exit]simplify: Simplified to (pow (cos lambda2) 3) * [enter]simplify: Simplifying (pow (cos lambda1) 3) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (pow (cos lambda1) 3) * [exit]simplify: Simplified to (pow (cos lambda1) 3) * * * * [misc]progress: [ 15 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cos lambda2) (cos lambda1)) (* (cos lambda2) (cos lambda1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) * [exit]simplify: Simplified to (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) * * * * [misc]progress: [ 16 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (log (pow (* (cos lambda2) (cos lambda1)) 3)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (199 enodes) * [exit]simplify: Simplified to (* (log (* (cos lambda1) (cos lambda2))) 3) * [exit]simplify: Simplified to (* (log (* (cos lambda1) (cos lambda2))) 3) * * * * [misc]progress: [ 18 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (pow (* (cos lambda2) (cos lambda1)) 3)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (130 enodes) * [exit]simplify: Simplified to (exp (pow (* (cos lambda1) (cos lambda2)) 3)) * [exit]simplify: Simplified to (exp (pow (* (cos lambda1) (cos lambda2)) 3)) * * * * [misc]progress: [ 19 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (pow (* (cos lambda2) (cos lambda1)) 3)) (cbrt (pow (* (cos lambda2) (cos lambda1)) 3))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * [exit]simplify: Simplified to (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) * [exit]simplify: Simplified to (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) * [enter]simplify: Simplifying (cbrt (pow (* (cos lambda2) (cos lambda1)) 3)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (107 enodes) * [exit]simplify: Simplified to (* (cos lambda1) (cos lambda2)) * [exit]simplify: Simplified to (* (cos lambda1) (cos lambda2)) * * * * [misc]progress: [ 20 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (pow (* (cos lambda2) (cos lambda1)) 3) (pow (* (cos lambda2) (cos lambda1)) 3)) (pow (* (cos lambda2) (cos lambda1)) 3)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (279 enodes) * [exit]simplify: Simplified to (pow (pow (* (cos lambda1) (cos lambda2)) 3) 3) * [exit]simplify: Simplified to (pow (pow (* (cos lambda1) (cos lambda2)) 3) 3) * * * * [misc]progress: [ 21 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (cos lambda2) 3) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (pow (cos lambda2) 3) * [exit]simplify: Simplified to (pow (cos lambda2) 3) * [enter]simplify: Simplifying (pow (cos lambda1) 3) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (pow (cos lambda1) 3) * [exit]simplify: Simplified to (pow (cos lambda1) 3) * * * * [misc]progress: [ 22 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (+ (cos (+ lambda2 lambda1)) (cos (- lambda2 lambda1))) 3) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (251 enodes) * [exit]simplify: Simplified to (pow (+ (cos (- lambda2 lambda1)) (cos (+ lambda1 lambda2))) 3) * [exit]simplify: Simplified to (pow (+ (cos (- lambda2 lambda1)) (cos (+ lambda1 lambda2))) 3) * [enter]simplify: Simplifying (pow 2 3) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to (pow 2 3) * [exit]simplify: Simplified to (pow 2 3) * * * * [misc]progress: [ 23 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cos lambda2) (cos lambda1)) (* (cos lambda2) (cos lambda1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) * [exit]simplify: Simplified to (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) * * * * [misc]progress: [ 24 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (pow (* (cos lambda2) (cos lambda1)) 3)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (97 enodes) * [exit]simplify: Simplified to (sqrt (pow (* (cos lambda1) (cos lambda2)) 3)) * [exit]simplify: Simplified to (sqrt (pow (* (cos lambda1) (cos lambda2)) 3)) * [enter]simplify: Simplifying (sqrt (pow (* (cos lambda2) (cos lambda1)) 3)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (97 enodes) * [exit]simplify: Simplified to (sqrt (pow (* (cos lambda1) (cos lambda2)) 3)) * [exit]simplify: Simplified to (sqrt (pow (* (cos lambda1) (cos lambda2)) 3)) * * * * [misc]progress: [ 27 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos lambda2) (cos lambda1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (185 enodes) * * [misc]simplify: iters left: 1 (285 enodes) * [exit]simplify: Simplified to (* (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos lambda1) (cos lambda2))) * [exit]simplify: Simplified to (* (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos lambda1) (cos lambda2))) * * * * [misc]progress: [ 29 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos lambda2) (cos lambda1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (185 enodes) * * [misc]simplify: iters left: 1 (285 enodes) * [exit]simplify: Simplified to (* (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos lambda1) (cos lambda2))) * [exit]simplify: Simplified to (* (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos lambda1) (cos lambda2))) * * * * [misc]progress: [ 30 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (- (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))) (+ (log (cos lambda2)) (log (cos lambda1)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * [exit]simplify: Simplified to (+ (+ (log (cos lambda1)) (log (cos lambda2))) (log (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) * [exit]simplify: Simplified to (+ (+ (log (cos lambda1)) (log (cos lambda2))) (log (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) * * * * [misc]progress: [ 32 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (- (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))) (log (* (cos lambda2) (cos lambda1)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * [exit]simplify: Simplified to (+ (log (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (log (* (cos lambda1) (cos lambda2)))) * [exit]simplify: Simplified to (+ (log (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (log (* (cos lambda1) (cos lambda2)))) * * * * [misc]progress: [ 33 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (- (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos lambda2) (cos lambda1)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (209 enodes) * * [misc]simplify: iters left: 1 (319 enodes) * [exit]simplify: Simplified to (log (* (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos lambda1) (cos lambda2)))) * [exit]simplify: Simplified to (log (* (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos lambda1) (cos lambda2)))) * * * * [misc]progress: [ 34 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (- (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos lambda2) (cos lambda1)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (264 enodes) * * [misc]simplify: iters left: 1 (479 enodes) * [exit]simplify: Simplified to (pow (exp (* (cos lambda1) (cos lambda2))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) * [exit]simplify: Simplified to (pow (exp (* (cos lambda1) (cos lambda2))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) * * * * [misc]progress: [ 35 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (- (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))) (- (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))) (* (* (* (cos lambda2) (cos lambda2)) (cos lambda2)) (* (* (cos lambda1) (cos lambda1)) (cos lambda1)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (118 enodes) * [exit]simplify: Simplified to (* (* (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (pow (cos lambda2) 3) (pow (cos lambda1) 3)))) * [exit]simplify: Simplified to (* (* (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (pow (cos lambda2) 3) (pow (cos lambda1) 3)))) * * * * [misc]progress: [ 36 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (- (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))) (- (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))) (* (* (* (cos lambda2) (cos lambda1)) (* (cos lambda2) (cos lambda1))) (* (cos lambda2) (cos lambda1)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (440 enodes) * [exit]simplify: Simplified to (* (* (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (pow (* (cos lambda1) (cos lambda2)) 3)) (* (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) * [exit]simplify: Simplified to (* (* (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (pow (* (cos lambda1) (cos lambda2)) 3)) (* (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) * * * * [misc]progress: [ 37 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (- (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos lambda2) (cos lambda1)))) (cbrt (* (- (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos lambda2) (cos lambda1))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (187 enodes) * * [misc]simplify: iters left: 1 (299 enodes) * [exit]simplify: Simplified to (* (cbrt (* (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos lambda1) (cos lambda2)))) (cbrt (* (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos lambda1) (cos lambda2))))) * [exit]simplify: Simplified to (* (cbrt (* (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos lambda1) (cos lambda2)))) (cbrt (* (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos lambda1) (cos lambda2))))) * [enter]simplify: Simplifying (cbrt (* (- (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos lambda2) (cos lambda1)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (186 enodes) * * [misc]simplify: iters left: 1 (286 enodes) * [exit]simplify: Simplified to (cbrt (* (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos lambda1) (cos lambda2)))) * [exit]simplify: Simplified to (cbrt (* (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos lambda1) (cos lambda2)))) * * * * [misc]progress: [ 38 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos lambda2) (cos lambda1))) (* (- (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos lambda2) (cos lambda1)))) (* (- (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos lambda2) (cos lambda1)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (453 enodes) * [exit]simplify: Simplified to (pow (* (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos lambda1) (cos lambda2))) 3) * [exit]simplify: Simplified to (pow (* (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos lambda1) (cos lambda2))) 3) * * * * [misc]progress: [ 39 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (- (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos lambda2) (cos lambda1)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (186 enodes) * * [misc]simplify: iters left: 1 (286 enodes) * [exit]simplify: Simplified to (sqrt (* (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos lambda1) (cos lambda2)))) * [exit]simplify: Simplified to (sqrt (* (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos lambda1) (cos lambda2)))) * [enter]simplify: Simplifying (sqrt (* (- (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos lambda2) (cos lambda1)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (186 enodes) * * [misc]simplify: iters left: 1 (286 enodes) * [exit]simplify: Simplified to (sqrt (* (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos lambda1) (cos lambda2)))) * [exit]simplify: Simplified to (sqrt (* (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos lambda1) (cos lambda2)))) * * * * [misc]progress: [ 40 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (+ (cos (+ lambda2 lambda1)) (cos (- lambda2 lambda1))) (- (cos (- lambda2 lambda1)) (cos (+ lambda2 lambda1)))) (+ (cos (+ lambda2 lambda1)) (cos (- lambda2 lambda1)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (488 enodes) * [exit]simplify: Simplified to (* (+ (cos (- lambda2 lambda1)) (cos (+ lambda1 lambda2))) (+ (cos (+ lambda1 lambda2)) (cos (+ lambda1 lambda2)))) * [exit]simplify: Simplified to (* (+ (cos (- lambda2 lambda1)) (cos (+ lambda1 lambda2))) (+ (cos (+ lambda1 lambda2)) (cos (+ lambda1 lambda2)))) * [enter]simplify: Simplifying (* 2 2) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (* 2 2) * [exit]simplify: Simplified to (* 2 2) * * * * [misc]progress: [ 41 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (+ (cos (+ lambda2 lambda1)) (cos (- lambda2 lambda1))) 2) (* 2 (- (cos (- lambda2 lambda1)) (cos (+ lambda2 lambda1))))) (+ (cos (+ lambda2 lambda1)) (cos (- lambda2 lambda1)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (286 enodes) * [exit]simplify: Simplified to (* (* 2 (+ (cos (- lambda2 lambda1)) (cos (+ lambda1 lambda2)))) (- (+ (cos (- lambda2 lambda1)) (cos (+ lambda1 lambda2))) (- (cos (- lambda2 lambda1)) (cos (+ lambda1 lambda2))))) * [exit]simplify: Simplified to (* (* 2 (+ (cos (- lambda2 lambda1)) (cos (+ lambda1 lambda2)))) (- (+ (cos (- lambda2 lambda1)) (cos (+ lambda1 lambda2))) (- (cos (- lambda2 lambda1)) (cos (+ lambda1 lambda2))))) * [enter]simplify: Simplifying (* (* 2 2) 2) * * [misc]simplify: iters left: 4 (3 enodes) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (pow 2 3) * [exit]simplify: Simplified to (pow 2 3) * * * * [misc]progress: [ 42 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (* (cos lambda2) (cos lambda1)) 3) (pow (* (sin lambda2) (sin lambda1)) 3)) (+ (cos (+ lambda2 lambda1)) (cos (- lambda2 lambda1)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (123 enodes) * * [misc]simplify: iters left: 3 (454 enodes) * [exit]simplify: Simplified to (* (- (pow (* (cos lambda1) (cos lambda2)) 3) (pow (* (sin lambda1) (sin lambda2)) 3)) (+ (cos (- lambda2 lambda1)) (cos (+ lambda2 lambda1)))) * [exit]simplify: Simplified to (* (- (pow (* (cos lambda1) (cos lambda2)) 3) (pow (* (sin lambda1) (sin lambda2)) 3)) (+ (cos (- lambda2 lambda1)) (cos (+ lambda2 lambda1)))) * [enter]simplify: Simplifying (* (+ (* (* (cos lambda2) (cos lambda1)) (* (cos lambda2) (cos lambda1))) (+ (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))) (* (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))))) 2) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (232 enodes) * * [misc]simplify: iters left: 2 (479 enodes) * [exit]simplify: Simplified to (+ (* 2 (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)))) (* (* (* (cos lambda1) (cos lambda2)) 2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) * [exit]simplify: Simplified to (+ (* 2 (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)))) (* (* (* (cos lambda1) (cos lambda2)) 2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) * * * * [misc]progress: [ 43 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (* (cos lambda2) (cos lambda1)) (* (cos lambda2) (cos lambda1))) (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1)))) (+ (cos (+ lambda2 lambda1)) (cos (- lambda2 lambda1)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (105 enodes) * * [misc]simplify: iters left: 3 (366 enodes) * [exit]simplify: Simplified to (* (* (+ (cos (+ lambda2 lambda1)) (cos (- lambda2 lambda1))) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) * [exit]simplify: Simplified to (* (* (+ (cos (+ lambda2 lambda1)) (cos (- lambda2 lambda1))) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) * [enter]simplify: Simplifying (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) 2) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * [exit]simplify: Simplified to (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) 2) * [exit]simplify: Simplified to (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) 2) * * * * [misc]progress: [ 44 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (cos lambda2)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (* (cos lambda2) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) * [exit]simplify: Simplified to (* (cos lambda2) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) * * * * [misc]progress: [ 46 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))) (* (cos lambda2) (cos lambda1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * [exit]simplify: Simplified to (* (cbrt (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (cos lambda1) (cos lambda2))) * [exit]simplify: Simplified to (* (cbrt (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (cos lambda1) (cos lambda2))) * * * * [misc]progress: [ 47 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (- (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))) (* (cos lambda2) (cos lambda1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * [exit]simplify: Simplified to (* (sqrt (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (cos lambda1) (cos lambda2))) * [exit]simplify: Simplified to (* (sqrt (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (cos lambda1) (cos lambda2))) * * * * [misc]progress: [ 48 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos lambda2) (cos lambda1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (185 enodes) * * [misc]simplify: iters left: 1 (285 enodes) * [exit]simplify: Simplified to (* (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos lambda1) (cos lambda2))) * [exit]simplify: Simplified to (* (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos lambda1) (cos lambda2))) * * * * [misc]progress: [ 49 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (+ (cos (+ lambda2 lambda1)) (cos (- lambda2 lambda1)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (171 enodes) * * [misc]simplify: iters left: 2 (305 enodes) * * [misc]simplify: iters left: 1 (427 enodes) * [exit]simplify: Simplified to (* (+ (cos (- lambda2 lambda1)) (cos (+ lambda2 lambda1))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) * [exit]simplify: Simplified to (* (+ (cos (- lambda2 lambda1)) (cos (+ lambda2 lambda1))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) * * * * [misc]progress: [ 50 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (+ (cos (+ lambda2 lambda1)) (cos (- lambda2 lambda1))) (- (cos (- lambda2 lambda1)) (cos (+ lambda2 lambda1)))) (* (cos lambda2) (cos lambda1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (316 enodes) * [exit]simplify: Simplified to (* (* (cos lambda1) (cos lambda2)) (+ (cos (+ lambda1 lambda2)) (cos (+ lambda1 lambda2)))) * [exit]simplify: Simplified to (* (* (cos lambda1) (cos lambda2)) (+ (cos (+ lambda1 lambda2)) (cos (+ lambda1 lambda2)))) * * * * [misc]progress: [ 51 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (+ (cos (+ lambda2 lambda1)) (cos (- lambda2 lambda1))) 2) (* 2 (- (cos (- lambda2 lambda1)) (cos (+ lambda2 lambda1))))) (* (cos lambda2) (cos lambda1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (207 enodes) * [exit]simplify: Simplified to (* (* (* (cos lambda1) 2) (cos lambda2)) (- (+ (cos (- lambda2 lambda1)) (cos (+ lambda1 lambda2))) (- (cos (- lambda2 lambda1)) (cos (+ lambda1 lambda2))))) * [exit]simplify: Simplified to (* (* (* (cos lambda1) 2) (cos lambda2)) (- (+ (cos (- lambda2 lambda1)) (cos (+ lambda1 lambda2))) (- (cos (- lambda2 lambda1)) (cos (+ lambda1 lambda2))))) * * * * [misc]progress: [ 52 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (* (cos lambda2) (cos lambda1)) 3) (pow (* (sin lambda2) (sin lambda1)) 3)) (* (cos lambda2) (cos lambda1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (313 enodes) * [exit]simplify: Simplified to (- (pow (* (cos lambda1) (cos lambda2)) (+ 3 1)) (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) * [exit]simplify: Simplified to (- (pow (* (cos lambda1) (cos lambda2)) (+ 3 1)) (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) * * * * [misc]progress: [ 53 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (* (cos lambda2) (cos lambda1)) (* (cos lambda2) (cos lambda1))) (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1)))) (* (cos lambda2) (cos lambda1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (222 enodes) * [exit]simplify: Simplified to (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (* (cos lambda1) (cos lambda2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) * [exit]simplify: Simplified to (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (* (cos lambda1) (cos lambda2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) * * * * [misc]progress: [ 54 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (log (sin lambda1)) (log (sin lambda2))) 3) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (* 3 (+ (log (sin lambda1)) (log (sin lambda2)))) * [exit]simplify: Simplified to (* 3 (+ (log (sin lambda1)) (log (sin lambda2)))) * * * * [misc]progress: [ 56 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (* (sin lambda1) (sin lambda2))) 3) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (* 3 (log (* (sin lambda2) (sin lambda1)))) * [exit]simplify: Simplified to (* 3 (log (* (sin lambda2) (sin lambda1)))) * * * * [misc]progress: [ 57 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (* (sin lambda1) (sin lambda2))) 3) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (* 3 (log (* (sin lambda2) (sin lambda1)))) * [exit]simplify: Simplified to (* 3 (log (* (sin lambda2) (sin lambda1)))) * * * * [misc]progress: [ 58 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1 3) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to 3 * [exit]simplify: Simplified to 3 * * * * [misc]progress: [ 59 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1 3) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to 3 * [exit]simplify: Simplified to 3 * * * * [misc]progress: [ 60 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (sin lambda1) 3) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (pow (sin lambda1) 3) * [exit]simplify: Simplified to (pow (sin lambda1) 3) * [enter]simplify: Simplifying (pow (sin lambda2) 3) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (pow (sin lambda2) 3) * [exit]simplify: Simplified to (pow (sin lambda2) 3) * * * * [misc]progress: [ 61 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))) * [exit]simplify: Simplified to (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))) * * * * [misc]progress: [ 62 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (log (pow (* (sin lambda1) (sin lambda2)) 3)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (199 enodes) * [exit]simplify: Simplified to (* (log (* (sin lambda2) (sin lambda1))) 3) * [exit]simplify: Simplified to (* (log (* (sin lambda2) (sin lambda1))) 3) * * * * [misc]progress: [ 64 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (pow (* (sin lambda1) (sin lambda2)) 3)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (130 enodes) * [exit]simplify: Simplified to (exp (pow (* (sin lambda2) (sin lambda1)) 3)) * [exit]simplify: Simplified to (exp (pow (* (sin lambda2) (sin lambda1)) 3)) * * * * [misc]progress: [ 65 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * [exit]simplify: Simplified to (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))) * [exit]simplify: Simplified to (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))) * [enter]simplify: Simplifying (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (107 enodes) * [exit]simplify: Simplified to (* (sin lambda2) (sin lambda1)) * [exit]simplify: Simplified to (* (sin lambda2) (sin lambda1)) * * * * [misc]progress: [ 66 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (pow (* (sin lambda1) (sin lambda2)) 3) (pow (* (sin lambda1) (sin lambda2)) 3)) (pow (* (sin lambda1) (sin lambda2)) 3)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (279 enodes) * [exit]simplify: Simplified to (pow (pow (* (sin lambda2) (sin lambda1)) 3) 3) * [exit]simplify: Simplified to (pow (pow (* (sin lambda2) (sin lambda1)) 3) 3) * * * * [misc]progress: [ 67 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (sin lambda1) 3) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (pow (sin lambda1) 3) * [exit]simplify: Simplified to (pow (sin lambda1) 3) * [enter]simplify: Simplifying (pow (sin lambda2) 3) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (pow (sin lambda2) 3) * [exit]simplify: Simplified to (pow (sin lambda2) 3) * * * * [misc]progress: [ 68 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) 3) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (277 enodes) * [exit]simplify: Simplified to (pow (- (cos (- lambda1 lambda2)) (cos (+ lambda2 lambda1))) 3) * [exit]simplify: Simplified to (pow (- (cos (- lambda1 lambda2)) (cos (+ lambda2 lambda1))) 3) * [enter]simplify: Simplifying (pow 2 3) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to (pow 2 3) * [exit]simplify: Simplified to (pow 2 3) * * * * [misc]progress: [ 69 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))) * [exit]simplify: Simplified to (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))) * * * * [misc]progress: [ 70 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 71 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 72 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (pow (* (sin lambda1) (sin lambda2)) 3)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (97 enodes) * [exit]simplify: Simplified to (sqrt (pow (* (sin lambda2) (sin lambda1)) 3)) * [exit]simplify: Simplified to (sqrt (pow (* (sin lambda2) (sin lambda1)) 3)) * [enter]simplify: Simplifying (sqrt (pow (* (sin lambda1) (sin lambda2)) 3)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (97 enodes) * [exit]simplify: Simplified to (sqrt (pow (* (sin lambda2) (sin lambda1)) 3)) * [exit]simplify: Simplified to (sqrt (pow (* (sin lambda2) (sin lambda1)) 3)) * * * * [misc]progress: [ 73 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 74 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* (acos (+ (* (sin phi1) (sin phi2)) (+ (/ (* (cos phi2) (* (cos phi1) (* (pow (sin lambda2) 3) (pow (sin lambda1) 3)))) (- (+ (* (pow (sin lambda2) 2) (pow (sin lambda1) 2)) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2))) (* (cos lambda1) (* (sin lambda2) (* (sin lambda1) (cos lambda2)))))) (/ (* (pow (cos lambda1) 3) (* (cos phi2) (* (cos phi1) (pow (cos lambda2) 3)))) (- (+ (* (pow (sin lambda2) 2) (pow (sin lambda1) 2)) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2))) (* (cos lambda1) (* (sin lambda2) (* (sin lambda1) (cos lambda2))))))))) R) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (267 enodes) * [exit]simplify: Simplified to (* (acos (+ (+ (* (sin phi2) (sin phi1)) (/ (* (* (* (cos phi1) (cos lambda2)) (* (cos lambda2) (cos lambda2))) (* (* (cos lambda1) (cos lambda1)) (* (cos lambda1) (cos phi2)))) (+ (* (* (sin lambda1) (sin lambda1)) (* (sin lambda2) (sin lambda2))) (- (* (* (cos lambda1) (cos lambda1)) (* (cos lambda2) (cos lambda2))) (* (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))) (/ (* (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda1))) (* (* (sin lambda2) (sin lambda2)) (* (sin lambda2) (sin lambda1)))) (+ (* (* (sin lambda1) (sin lambda1)) (* (sin lambda2) (sin lambda2))) (- (* (* (cos lambda1) (cos lambda1)) (* (cos lambda2) (cos lambda2))) (* (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) R) * * * * [misc]progress: [ 75 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* (acos (+ (* (sin phi1) (sin phi2)) (+ (/ (* (cos phi2) (* (cos phi1) (* (pow (sin lambda2) 3) (pow (sin lambda1) 3)))) (- (+ (* (pow (sin lambda2) 2) (pow (sin lambda1) 2)) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2))) (* (cos lambda1) (* (sin lambda2) (* (sin lambda1) (cos lambda2)))))) (/ (* (pow (cos lambda1) 3) (* (cos phi2) (* (cos phi1) (pow (cos lambda2) 3)))) (- (+ (* (pow (sin lambda2) 2) (pow (sin lambda1) 2)) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2))) (* (cos lambda1) (* (sin lambda2) (* (sin lambda1) (cos lambda2))))))))) R) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (267 enodes) * [exit]simplify: Simplified to (* (acos (+ (+ (* (sin phi2) (sin phi1)) (/ (* (* (* (cos phi1) (cos lambda2)) (* (cos lambda2) (cos lambda2))) (* (* (cos lambda1) (cos lambda1)) (* (cos lambda1) (cos phi2)))) (+ (* (* (sin lambda1) (sin lambda1)) (* (sin lambda2) (sin lambda2))) (- (* (* (cos lambda1) (cos lambda1)) (* (cos lambda2) (cos lambda2))) (* (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))) (/ (* (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda1))) (* (* (sin lambda2) (sin lambda2)) (* (sin lambda2) (sin lambda1)))) (+ (* (* (sin lambda1) (sin lambda1)) (* (sin lambda2) (sin lambda2))) (- (* (* (cos lambda1) (cos lambda1)) (* (cos lambda2) (cos lambda2))) (* (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) R) * * * * [misc]progress: [ 76 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* (acos (+ (* (sin phi1) (sin phi2)) (+ (/ (* (cos phi2) (* (cos phi1) (* (pow (sin lambda2) 3) (pow (sin lambda1) 3)))) (- (+ (* (pow (sin lambda2) 2) (pow (sin lambda1) 2)) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2))) (* (cos lambda1) (* (sin lambda2) (* (sin lambda1) (cos lambda2)))))) (/ (* (pow (cos lambda1) 3) (* (cos phi2) (* (cos phi1) (pow (cos lambda2) 3)))) (- (+ (* (pow (sin lambda2) 2) (pow (sin lambda1) 2)) (* (pow (cos lambda1) 2) (pow (cos lambda2) 2))) (* (cos lambda1) (* (sin lambda2) (* (sin lambda1) (cos lambda2))))))))) R) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (267 enodes) * [exit]simplify: Simplified to (* (acos (+ (+ (* (sin phi2) (sin phi1)) (/ (* (* (* (cos phi1) (cos lambda2)) (* (cos lambda2) (cos lambda2))) (* (* (cos lambda1) (cos lambda1)) (* (cos lambda1) (cos phi2)))) (+ (* (* (sin lambda1) (sin lambda1)) (* (sin lambda2) (sin lambda2))) (- (* (* (cos lambda1) (cos lambda1)) (* (cos lambda2) (cos lambda2))) (* (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))) (/ (* (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda1))) (* (* (sin lambda2) (sin lambda2)) (* (sin lambda2) (sin lambda1)))) (+ (* (* (sin lambda1) (sin lambda1)) (* (sin lambda2) (sin lambda2))) (- (* (* (cos lambda1) (cos lambda1)) (* (cos lambda2) (cos lambda2))) (* (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) R) * * * * [misc]progress: [ 77 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (/ (+ (pow (* (sin lambda1) (sin lambda2)) 3) (- 1 (+ (* 3/2 (pow lambda1 2)) (* 3/2 (pow lambda2 2))))) (+ (* (- (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos lambda2) (cos lambda1))) (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1)))))))) R) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (81 enodes) * * [misc]simplify: iters left: 4 (177 enodes) * * [misc]simplify: iters left: 3 (442 enodes) * [exit]simplify: Simplified to (* R (acos (+ (* (sin phi2) (sin phi1)) (/ (+ (* (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))) (* (* (cos phi1) (cos phi2)) (* (sin lambda2) (sin lambda1)))) (* (* (cos phi1) (cos phi2)) (- 1 (* 3/2 (+ (* lambda1 lambda1) (* lambda2 lambda2)))))) (+ (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))) (* (* (cos lambda1) (cos lambda2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))))))))) * * * * [misc]progress: [ 78 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (/ (+ (pow (* (sin lambda1) (sin lambda2)) 3) (pow (* (cos lambda1) (cos lambda2)) 3)) (+ (* (- (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos lambda2) (cos lambda1))) (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1)))))))) R) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (146 enodes) * * [misc]simplify: iters left: 3 (368 enodes) * [exit]simplify: Simplified to (* (acos (+ (/ (+ (* (* (* (cos lambda2) (cos lambda1)) (* (cos lambda2) (cos lambda1))) (* (* (cos lambda2) (cos lambda1)) (* (cos phi2) (cos phi1)))) (* (* (* (sin lambda2) (sin lambda1)) (* (cos phi2) (cos phi1))) (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))))) (+ (* (- (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos lambda2) (cos lambda1))) (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))))) (* (sin phi2) (sin phi1)))) R) * * * * [misc]progress: [ 79 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (/ (+ (pow (* (sin lambda1) (sin lambda2)) 3) (pow (* (cos lambda1) (cos lambda2)) 3)) (+ (* (- (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos lambda2) (cos lambda1))) (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1)))))))) R) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (146 enodes) * * [misc]simplify: iters left: 3 (368 enodes) * [exit]simplify: Simplified to (* (acos (+ (/ (+ (* (* (* (cos lambda2) (cos lambda1)) (* (cos lambda2) (cos lambda1))) (* (* (cos lambda2) (cos lambda1)) (* (cos phi2) (cos phi1)))) (* (* (* (sin lambda2) (sin lambda1)) (* (cos phi2) (cos phi1))) (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))))) (+ (* (- (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos lambda2) (cos lambda1))) (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))))) (* (sin phi2) (sin phi1)))) R) * * * * [misc]progress: [ 80 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (/ (+ (pow (* (sin lambda1) (sin lambda2)) 3) (pow (* (cos lambda2) (cos lambda1)) 3)) (+ (- 1 (+ (* lambda1 lambda2) (pow lambda2 2))) (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1)))))))) R) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (166 enodes) * * [misc]simplify: iters left: 3 (417 enodes) * [exit]simplify: Simplified to (* R (acos (+ (* (sin phi2) (sin phi1)) (/ (+ (* (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (* (* (cos lambda1) (cos lambda2)) (cos phi1))) (* (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))) (* (* (sin lambda2) (sin lambda1)) (cos phi1)))) (/ (+ (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))) (- 1 (* lambda2 (+ lambda1 lambda2)))) (cos phi2)))))) * * * * [misc]progress: [ 81 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (/ (+ (pow (* (sin lambda1) (sin lambda2)) 3) (pow (* (cos lambda2) (cos lambda1)) 3)) (+ (* (cos lambda1) (* (- (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (cos lambda2))) (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1)))))))) R) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (147 enodes) * * [misc]simplify: iters left: 3 (388 enodes) * [exit]simplify: Simplified to (* (acos (+ (* (sin phi2) (sin phi1)) (/ (+ (* (* (* (sin lambda2) (sin lambda1)) (* (cos phi2) (cos phi1))) (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1)))) (* (* (* (cos lambda1) (cos lambda2)) (* (cos phi2) (cos phi1))) (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))))) (+ (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))) (* (- (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos lambda1) (cos lambda2))))))) R) * * * * [misc]progress: [ 82 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (/ (+ (pow (* (sin lambda1) (sin lambda2)) 3) (pow (* (cos lambda2) (cos lambda1)) 3)) (+ (* (cos lambda1) (* (- (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (cos lambda2))) (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1)))))))) R) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (147 enodes) * * [misc]simplify: iters left: 3 (388 enodes) * [exit]simplify: Simplified to (* (acos (+ (* (sin phi2) (sin phi1)) (/ (+ (* (* (* (sin lambda2) (sin lambda1)) (* (cos phi2) (cos phi1))) (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1)))) (* (* (* (cos lambda1) (cos lambda2)) (* (cos phi2) (cos phi1))) (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))))) (+ (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))) (* (- (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos lambda1) (cos lambda2))))))) R) * * * * [misc]progress: [ 83 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (/ (+ (- (exp (* 3 (+ (log lambda2) (log lambda1)))) (+ (* 1/2 (* (exp (* 3 (+ (log lambda2) (log lambda1)))) (pow lambda2 2))) (* 1/2 (* (pow lambda1 2) (exp (* 3 (+ (log lambda2) (log lambda1)))))))) (pow (* (cos lambda2) (cos lambda1)) 3)) (+ (* (- (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos lambda2) (cos lambda1))) (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1)))))))) R) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (101 enodes) * * [misc]simplify: iters left: 4 (239 enodes) * [exit]simplify: Simplified to (* R (acos (+ (* (sin phi2) (sin phi1)) (/ (* (* (cos phi2) (cos phi1)) (- (+ (* (pow lambda2 3) (pow lambda1 3)) (pow (* (cos lambda2) (cos lambda1)) 3)) (* (* (pow lambda2 3) (pow lambda1 3)) (* (+ (* lambda1 lambda1) (* lambda2 lambda2)) 1/2)))) (+ (* (* (cos lambda2) (cos lambda1)) (- (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))) (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1)))))))) * * * * [misc]progress: [ 84 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (/ (+ (pow (* (sin lambda2) (sin lambda1)) 3) (pow (* (cos lambda2) (cos lambda1)) 3)) (+ (* (- (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos lambda2) (cos lambda1))) (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1)))))))) R) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (151 enodes) * * [misc]simplify: iters left: 3 (365 enodes) * [exit]simplify: Simplified to (* R (acos (+ (* (sin phi2) (sin phi1)) (/ (+ (* (* (* (cos lambda1) (cos lambda2)) (* (cos phi2) (cos phi1))) (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2)))) (* (* (* (sin lambda1) (sin lambda2)) (* (cos phi2) (cos phi1))) (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))))) (+ (* (* (cos lambda1) (cos lambda2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)))))))) * * * * [misc]progress: [ 85 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (/ (+ (pow (* (sin lambda2) (sin lambda1)) 3) (pow (* (cos lambda2) (cos lambda1)) 3)) (+ (* (- (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos lambda2) (cos lambda1))) (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1)))))))) R) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (151 enodes) * * [misc]simplify: iters left: 3 (365 enodes) * [exit]simplify: Simplified to (* R (acos (+ (* (sin phi2) (sin phi1)) (/ (+ (* (* (* (cos lambda1) (cos lambda2)) (* (cos phi2) (cos phi1))) (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2)))) (* (* (* (sin lambda1) (sin lambda2)) (* (cos phi2) (cos phi1))) (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))))) (+ (* (* (cos lambda1) (cos lambda2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)))))))) * * * [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 (* (acos (+ (* (* (sin phi1) (sqrt (sin phi2))) (sqrt (sin phi2))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) +nan.0)) , with alts (#) * [enter]simplify: Simplifying (pow (cos lambda2) 3) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (pow (cos lambda2) 3) * [exit]simplify: Simplified to (pow (cos lambda2) 3) * [enter]simplify: Simplifying (pow (cos lambda1) 3) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (pow (cos lambda1) 3) * [exit]simplify: Simplified to (pow (cos lambda1) 3) * * * * [misc]points: Sampling 8000 additional inputs, on iter 0 have 0 / 8000 * * * * [misc]points: Computing exacts on every 500 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 250 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 125 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 62 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 31 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 15 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 7 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: 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: Setting MPFR precision to 2112 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 5 additional inputs, on iter 1 have 7995 / 8000 * * * * [misc]points: Computing exacts for 5 points * * * * [misc]points: Setting MPFR precision to 1856 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 8000 points with exact outputs