* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * [misc]progress: [2/2] Setting up program. * [enter]simplify: Simplifying (* R (* 2 (atan2 (sqrt (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (86 enodes) * [exit]simplify: Simplified to (* (+ R R) (atan2 (sqrt (+ (* (sin (/ (- phi1 phi2) 2)) (sin (/ (- phi1 phi2) 2))) (* (* (sin (/ (- lambda1 lambda2) 2)) (sin (/ (- lambda1 lambda2) 2))) (* (cos phi1) (cos phi2))))) (sqrt (- (* (cos (/ (- phi1 phi2) 2)) (cos (/ (- phi1 phi2) 2))) (* (* (sin (/ (- lambda1 lambda2) 2)) (sin (/ (- lambda1 lambda2) 2))) (* (cos phi1) (cos phi2))))))) * [misc]progress: [Phase 2 of 3] Improving. * * [misc]progress: iteration 1 / 3 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 2 2 1 2 1 1) * [misc]approximate: Taking taylor expansion of (sin (/ (- phi1 phi2) 2)) in (phi1 phi2) around 0 * [misc]taylor: Taking taylor expansion of (sin (/ (- phi1 phi2) 2)) in phi2 * [misc]taylor: Taking taylor expansion of (/ (- phi1 phi2) 2) in phi2 * [misc]taylor: Taking taylor expansion of (- phi1 phi2) in phi2 * [misc]taylor: Taking taylor expansion of phi1 in phi2 * [misc]backup-simplify: Simplify phi1 into phi1 * [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 2 in phi2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ phi1 0) into phi1 * [misc]backup-simplify: Simplify (/ phi1 2) into (* 1/2 phi1) * [misc]backup-simplify: Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1)) * [misc]backup-simplify: Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1)) * [misc]taylor: Taking taylor expansion of (sin (/ (- phi1 phi2) 2)) in phi1 * [misc]taylor: Taking taylor expansion of (/ (- phi1 phi2) 2) in phi1 * [misc]taylor: Taking taylor expansion of (- phi1 phi2) 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 phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (+ 0 (- phi2)) into (- phi2) * [misc]backup-simplify: Simplify (/ (- phi2) 2) into (* -1/2 phi2) * [misc]backup-simplify: Simplify (sin (* -1/2 phi2)) into (sin (* -1/2 phi2)) * [misc]backup-simplify: Simplify (cos (* -1/2 phi2)) into (cos (* -1/2 phi2)) * [misc]taylor: Taking taylor expansion of (sin (/ (- phi1 phi2) 2)) in phi1 * [misc]taylor: Taking taylor expansion of (/ (- phi1 phi2) 2) in phi1 * [misc]taylor: Taking taylor expansion of (- phi1 phi2) 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 phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (+ 0 (- phi2)) into (- phi2) * [misc]backup-simplify: Simplify (/ (- phi2) 2) into (* -1/2 phi2) * [misc]backup-simplify: Simplify (sin (* -1/2 phi2)) into (sin (* -1/2 phi2)) * [misc]backup-simplify: Simplify (cos (* -1/2 phi2)) into (cos (* -1/2 phi2)) * [misc]backup-simplify: Simplify (* (sin (* -1/2 phi2)) 1) into (sin (* -1/2 phi2)) * [misc]backup-simplify: Simplify (* (cos (* -1/2 phi2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (* -1/2 phi2)) 0) into (sin (* -1/2 phi2)) * [misc]taylor: Taking taylor expansion of (sin (* -1/2 phi2)) in phi2 * [misc]taylor: Taking taylor expansion of (* -1/2 phi2) in phi2 * [misc]taylor: Taking taylor expansion of -1/2 in phi2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 phi2)) 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 2) (+ (* (* -1/2 phi2) (/ 0 2)))) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 phi2)) 1/2) (* 0 0)) into (* 1/2 (cos (* -1/2 phi2))) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (cos (* -1/2 phi2)))) into (* 1/2 (cos (* -1/2 phi2))) * [misc]taylor: Taking taylor expansion of (* 1/2 (cos (* -1/2 phi2))) in phi2 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 phi2)) in phi2 * [misc]taylor: Taking taylor expansion of (* -1/2 phi2) in phi2 * [misc]taylor: Taking taylor expansion of -1/2 in phi2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow -1/2 1) 1))) into (- 1/2) * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8) * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 phi2)) (- 1/8)) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (sin (* -1/2 phi2)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* -1/2 phi2) (/ 0 2)) (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 phi2)) 0) (+ (* 0 1/2) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/8 (sin (* -1/2 phi2)))) 0) into (- (* 1/8 (sin (* -1/2 phi2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/8 (sin (* -1/2 phi2)))) in phi2 * [misc]taylor: Taking taylor expansion of (* 1/8 (sin (* -1/2 phi2))) in phi2 * [misc]taylor: Taking taylor expansion of 1/8 in phi2 * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (sin (* -1/2 phi2)) in phi2 * [misc]taylor: Taking taylor expansion of (* -1/2 phi2) in phi2 * [misc]taylor: Taking taylor expansion of -1/2 in phi2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 * [misc]backup-simplify: Simplify (* 1/8 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 (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 1) (* 0 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 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 phi2)) 0) (+ (* 0 (- 1/8)) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* -1/2 phi2) (/ 0 2)) (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/48) * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 phi2)) (- 1/48)) (+ (* 0 0) (+ (* 0 1/2) (* 0 0)))) into (- (* 1/48 (cos (* -1/2 phi2)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/48 (cos (* -1/2 phi2))))) into (- (* 1/48 (cos (* -1/2 phi2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/48 (cos (* -1/2 phi2)))) in phi2 * [misc]taylor: Taking taylor expansion of (* 1/48 (cos (* -1/2 phi2))) in phi2 * [misc]taylor: Taking taylor expansion of 1/48 in phi2 * [misc]backup-simplify: Simplify 1/48 into 1/48 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 phi2)) in phi2 * [misc]taylor: Taking taylor expansion of (* -1/2 phi2) in phi2 * [misc]taylor: Taking taylor expansion of -1/2 in phi2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 * [misc]backup-simplify: Simplify (* 1/48 1) into 1/48 * [misc]backup-simplify: Simplify (- 1/48) into -1/48 * [misc]backup-simplify: Simplify -1/48 into -1/48 * [misc]backup-simplify: Simplify (+ (* -1/48 (pow (* 1 phi1) 3)) (+ (* -1/2 (* phi2 1)) (* 1/2 (* 1 phi1)))) into (- (* 1/2 phi1) (+ (* 1/48 (pow phi1 3)) (* 1/2 phi2))) * [misc]approximate: Taking taylor expansion of (sin (/ (- (/ 1 phi1) (/ 1 phi2)) 2)) in (phi1 phi2) around 0 * [misc]taylor: Taking taylor expansion of (sin (/ (- (/ 1 phi1) (/ 1 phi2)) 2)) in phi2 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 phi1) (/ 1 phi2)) 2) in phi2 * [misc]taylor: Taking taylor expansion of (- (/ 1 phi1) (/ 1 phi2)) 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]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]taylor: Taking taylor expansion of 2 in phi2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (sin (/ (- (/ 1 phi1) (/ 1 phi2)) 2)) into (sin (* 1/2 (- (/ 1 phi1) (/ 1 phi2)))) * [misc]taylor: Taking taylor expansion of (sin (/ (- (/ 1 phi1) (/ 1 phi2)) 2)) in phi1 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 phi1) (/ 1 phi2)) 2) in phi1 * [misc]taylor: Taking taylor expansion of (- (/ 1 phi1) (/ 1 phi2)) 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]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]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sin (/ (- (/ 1 phi1) (/ 1 phi2)) 2)) into (sin (* 1/2 (- (/ 1 phi1) (/ 1 phi2)))) * [misc]taylor: Taking taylor expansion of (sin (/ (- (/ 1 phi1) (/ 1 phi2)) 2)) in phi1 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 phi1) (/ 1 phi2)) 2) in phi1 * [misc]taylor: Taking taylor expansion of (- (/ 1 phi1) (/ 1 phi2)) 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]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]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sin (/ (- (/ 1 phi1) (/ 1 phi2)) 2)) into (sin (* 1/2 (- (/ 1 phi1) (/ 1 phi2)))) * [misc]taylor: Taking taylor expansion of (sin (* 1/2 (- (/ 1 phi1) (/ 1 phi2)))) in phi2 * [misc]taylor: Taking taylor expansion of (* 1/2 (- (/ 1 phi1) (/ 1 phi2))) in phi2 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (- (/ 1 phi1) (/ 1 phi2)) 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]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 (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* 1/2 -1) into -1/2 * [misc]backup-simplify: Simplify (sin (* 1/2 (- (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (- (/ 1 phi1) (/ 1 phi2)))) * [misc]backup-simplify: Simplify (sin (* 1/2 (- (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (- (/ 1 phi1) (/ 1 phi2)))) * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (* 1/2 (- (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (- (/ 1 phi1) (/ 1 phi2)))) * [misc]approximate: Taking taylor expansion of (sin (/ (- (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) in (phi1 phi2) around 0 * [misc]taylor: Taking taylor expansion of (sin (/ (- (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) in phi2 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- phi1)) (/ 1 (- phi2))) 2) in phi2 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- phi1)) (/ 1 (- phi2))) 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]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]taylor: Taking taylor expansion of 2 in phi2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sin (/ (- (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) into (sin (* 1/2 (- (/ 1 phi2) (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of (sin (/ (- (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) in phi1 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- phi1)) (/ 1 (- phi2))) 2) in phi1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- phi1)) (/ 1 (- phi2))) 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]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]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (sin (/ (- (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) into (sin (* 1/2 (- (/ 1 phi2) (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of (sin (/ (- (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) in phi1 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- phi1)) (/ 1 (- phi2))) 2) in phi1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- phi1)) (/ 1 (- phi2))) 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]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]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (sin (/ (- (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) into (sin (* 1/2 (- (/ 1 phi2) (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of (sin (* 1/2 (- (/ 1 phi2) (/ 1 phi1)))) in phi2 * [misc]taylor: Taking taylor expansion of (* 1/2 (- (/ 1 phi2) (/ 1 phi1))) in phi2 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (- (/ 1 phi2) (/ 1 phi1)) 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]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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (sin (* 1/2 (- (/ 1 phi2) (/ 1 phi1)))) into (sin (* 1/2 (- (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* 1/2 (- (/ 1 phi2) (/ 1 phi1)))) into (sin (* 1/2 (- (/ 1 phi2) (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (* 1/2 (- (/ 1 phi2) (/ 1 phi1)))) into (sin (* 1/2 (- (/ 1 phi2) (/ 1 phi1)))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 2 1 1 1 1) * [misc]approximate: Taking taylor expansion of (sin (/ (- phi1 phi2) 2)) in (phi1 phi2) around 0 * [misc]taylor: Taking taylor expansion of (sin (/ (- phi1 phi2) 2)) in phi2 * [misc]taylor: Taking taylor expansion of (/ (- phi1 phi2) 2) in phi2 * [misc]taylor: Taking taylor expansion of (- phi1 phi2) in phi2 * [misc]taylor: Taking taylor expansion of phi1 in phi2 * [misc]backup-simplify: Simplify phi1 into phi1 * [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 2 in phi2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ phi1 0) into phi1 * [misc]backup-simplify: Simplify (/ phi1 2) into (* 1/2 phi1) * [misc]backup-simplify: Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1)) * [misc]backup-simplify: Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1)) * [misc]taylor: Taking taylor expansion of (sin (/ (- phi1 phi2) 2)) in phi1 * [misc]taylor: Taking taylor expansion of (/ (- phi1 phi2) 2) in phi1 * [misc]taylor: Taking taylor expansion of (- phi1 phi2) 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 phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (+ 0 (- phi2)) into (- phi2) * [misc]backup-simplify: Simplify (/ (- phi2) 2) into (* -1/2 phi2) * [misc]backup-simplify: Simplify (sin (* -1/2 phi2)) into (sin (* -1/2 phi2)) * [misc]backup-simplify: Simplify (cos (* -1/2 phi2)) into (cos (* -1/2 phi2)) * [misc]taylor: Taking taylor expansion of (sin (/ (- phi1 phi2) 2)) in phi1 * [misc]taylor: Taking taylor expansion of (/ (- phi1 phi2) 2) in phi1 * [misc]taylor: Taking taylor expansion of (- phi1 phi2) 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 phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (+ 0 (- phi2)) into (- phi2) * [misc]backup-simplify: Simplify (/ (- phi2) 2) into (* -1/2 phi2) * [misc]backup-simplify: Simplify (sin (* -1/2 phi2)) into (sin (* -1/2 phi2)) * [misc]backup-simplify: Simplify (cos (* -1/2 phi2)) into (cos (* -1/2 phi2)) * [misc]backup-simplify: Simplify (* (sin (* -1/2 phi2)) 1) into (sin (* -1/2 phi2)) * [misc]backup-simplify: Simplify (* (cos (* -1/2 phi2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (* -1/2 phi2)) 0) into (sin (* -1/2 phi2)) * [misc]taylor: Taking taylor expansion of (sin (* -1/2 phi2)) in phi2 * [misc]taylor: Taking taylor expansion of (* -1/2 phi2) in phi2 * [misc]taylor: Taking taylor expansion of -1/2 in phi2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 phi2)) 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 2) (+ (* (* -1/2 phi2) (/ 0 2)))) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 phi2)) 1/2) (* 0 0)) into (* 1/2 (cos (* -1/2 phi2))) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (cos (* -1/2 phi2)))) into (* 1/2 (cos (* -1/2 phi2))) * [misc]taylor: Taking taylor expansion of (* 1/2 (cos (* -1/2 phi2))) in phi2 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 phi2)) in phi2 * [misc]taylor: Taking taylor expansion of (* -1/2 phi2) in phi2 * [misc]taylor: Taking taylor expansion of -1/2 in phi2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow -1/2 1) 1))) into (- 1/2) * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8) * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 phi2)) (- 1/8)) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (sin (* -1/2 phi2)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* -1/2 phi2) (/ 0 2)) (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 phi2)) 0) (+ (* 0 1/2) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/8 (sin (* -1/2 phi2)))) 0) into (- (* 1/8 (sin (* -1/2 phi2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/8 (sin (* -1/2 phi2)))) in phi2 * [misc]taylor: Taking taylor expansion of (* 1/8 (sin (* -1/2 phi2))) in phi2 * [misc]taylor: Taking taylor expansion of 1/8 in phi2 * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (sin (* -1/2 phi2)) in phi2 * [misc]taylor: Taking taylor expansion of (* -1/2 phi2) in phi2 * [misc]taylor: Taking taylor expansion of -1/2 in phi2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 * [misc]backup-simplify: Simplify (* 1/8 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 (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 1) (* 0 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 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 phi2)) 0) (+ (* 0 (- 1/8)) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* -1/2 phi2) (/ 0 2)) (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/48) * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 phi2)) (- 1/48)) (+ (* 0 0) (+ (* 0 1/2) (* 0 0)))) into (- (* 1/48 (cos (* -1/2 phi2)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/48 (cos (* -1/2 phi2))))) into (- (* 1/48 (cos (* -1/2 phi2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/48 (cos (* -1/2 phi2)))) in phi2 * [misc]taylor: Taking taylor expansion of (* 1/48 (cos (* -1/2 phi2))) in phi2 * [misc]taylor: Taking taylor expansion of 1/48 in phi2 * [misc]backup-simplify: Simplify 1/48 into 1/48 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 phi2)) in phi2 * [misc]taylor: Taking taylor expansion of (* -1/2 phi2) in phi2 * [misc]taylor: Taking taylor expansion of -1/2 in phi2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 * [misc]backup-simplify: Simplify (* 1/48 1) into 1/48 * [misc]backup-simplify: Simplify (- 1/48) into -1/48 * [misc]backup-simplify: Simplify -1/48 into -1/48 * [misc]backup-simplify: Simplify (+ (* -1/48 (pow (* 1 phi1) 3)) (+ (* -1/2 (* phi2 1)) (* 1/2 (* 1 phi1)))) into (- (* 1/2 phi1) (+ (* 1/48 (pow phi1 3)) (* 1/2 phi2))) * [misc]approximate: Taking taylor expansion of (sin (/ (- (/ 1 phi1) (/ 1 phi2)) 2)) in (phi1 phi2) around 0 * [misc]taylor: Taking taylor expansion of (sin (/ (- (/ 1 phi1) (/ 1 phi2)) 2)) in phi2 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 phi1) (/ 1 phi2)) 2) in phi2 * [misc]taylor: Taking taylor expansion of (- (/ 1 phi1) (/ 1 phi2)) 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]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]taylor: Taking taylor expansion of 2 in phi2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (sin (/ (- (/ 1 phi1) (/ 1 phi2)) 2)) into (sin (* 1/2 (- (/ 1 phi1) (/ 1 phi2)))) * [misc]taylor: Taking taylor expansion of (sin (/ (- (/ 1 phi1) (/ 1 phi2)) 2)) in phi1 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 phi1) (/ 1 phi2)) 2) in phi1 * [misc]taylor: Taking taylor expansion of (- (/ 1 phi1) (/ 1 phi2)) 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]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]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sin (/ (- (/ 1 phi1) (/ 1 phi2)) 2)) into (sin (* 1/2 (- (/ 1 phi1) (/ 1 phi2)))) * [misc]taylor: Taking taylor expansion of (sin (/ (- (/ 1 phi1) (/ 1 phi2)) 2)) in phi1 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 phi1) (/ 1 phi2)) 2) in phi1 * [misc]taylor: Taking taylor expansion of (- (/ 1 phi1) (/ 1 phi2)) 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]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]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sin (/ (- (/ 1 phi1) (/ 1 phi2)) 2)) into (sin (* 1/2 (- (/ 1 phi1) (/ 1 phi2)))) * [misc]taylor: Taking taylor expansion of (sin (* 1/2 (- (/ 1 phi1) (/ 1 phi2)))) in phi2 * [misc]taylor: Taking taylor expansion of (* 1/2 (- (/ 1 phi1) (/ 1 phi2))) in phi2 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (- (/ 1 phi1) (/ 1 phi2)) 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]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 (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* 1/2 -1) into -1/2 * [misc]backup-simplify: Simplify (sin (* 1/2 (- (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (- (/ 1 phi1) (/ 1 phi2)))) * [misc]backup-simplify: Simplify (sin (* 1/2 (- (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (- (/ 1 phi1) (/ 1 phi2)))) * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (* 1/2 (- (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (- (/ 1 phi1) (/ 1 phi2)))) * [misc]approximate: Taking taylor expansion of (sin (/ (- (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) in (phi1 phi2) around 0 * [misc]taylor: Taking taylor expansion of (sin (/ (- (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) in phi2 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- phi1)) (/ 1 (- phi2))) 2) in phi2 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- phi1)) (/ 1 (- phi2))) 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]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]taylor: Taking taylor expansion of 2 in phi2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sin (/ (- (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) into (sin (* 1/2 (- (/ 1 phi2) (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of (sin (/ (- (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) in phi1 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- phi1)) (/ 1 (- phi2))) 2) in phi1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- phi1)) (/ 1 (- phi2))) 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]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]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (sin (/ (- (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) into (sin (* 1/2 (- (/ 1 phi2) (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of (sin (/ (- (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) in phi1 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- phi1)) (/ 1 (- phi2))) 2) in phi1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- phi1)) (/ 1 (- phi2))) 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]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]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (sin (/ (- (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) into (sin (* 1/2 (- (/ 1 phi2) (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of (sin (* 1/2 (- (/ 1 phi2) (/ 1 phi1)))) in phi2 * [misc]taylor: Taking taylor expansion of (* 1/2 (- (/ 1 phi2) (/ 1 phi1))) in phi2 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (- (/ 1 phi2) (/ 1 phi1)) 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]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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (sin (* 1/2 (- (/ 1 phi2) (/ 1 phi1)))) into (sin (* 1/2 (- (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* 1/2 (- (/ 1 phi2) (/ 1 phi1)))) into (sin (* 1/2 (- (/ 1 phi2) (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (* 1/2 (- (/ 1 phi2) (/ 1 phi1)))) into (sin (* 1/2 (- (/ 1 phi2) (/ 1 phi1)))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 2 2 1 2 2 2) * [misc]approximate: Taking taylor expansion of (sin (/ (- lambda1 lambda2) 2)) in (lambda1 lambda2) around 0 * [misc]taylor: Taking taylor expansion of (sin (/ (- lambda1 lambda2) 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ (- lambda1 lambda2) 2) 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]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ lambda1 0) into lambda1 * [misc]backup-simplify: Simplify (/ lambda1 2) into (* 1/2 lambda1) * [misc]backup-simplify: Simplify (sin (* 1/2 lambda1)) into (sin (* 1/2 lambda1)) * [misc]backup-simplify: Simplify (cos (* 1/2 lambda1)) into (cos (* 1/2 lambda1)) * [misc]taylor: Taking taylor expansion of (sin (/ (- lambda1 lambda2) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (- lambda1 lambda2) 2) 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]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (+ 0 (- lambda2)) into (- lambda2) * [misc]backup-simplify: Simplify (/ (- lambda2) 2) into (* -1/2 lambda2) * [misc]backup-simplify: Simplify (sin (* -1/2 lambda2)) into (sin (* -1/2 lambda2)) * [misc]backup-simplify: Simplify (cos (* -1/2 lambda2)) into (cos (* -1/2 lambda2)) * [misc]taylor: Taking taylor expansion of (sin (/ (- lambda1 lambda2) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (- lambda1 lambda2) 2) 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]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (+ 0 (- lambda2)) into (- lambda2) * [misc]backup-simplify: Simplify (/ (- lambda2) 2) into (* -1/2 lambda2) * [misc]backup-simplify: Simplify (sin (* -1/2 lambda2)) into (sin (* -1/2 lambda2)) * [misc]backup-simplify: Simplify (cos (* -1/2 lambda2)) into (cos (* -1/2 lambda2)) * [misc]backup-simplify: Simplify (* (sin (* -1/2 lambda2)) 1) into (sin (* -1/2 lambda2)) * [misc]backup-simplify: Simplify (* (cos (* -1/2 lambda2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (* -1/2 lambda2)) 0) into (sin (* -1/2 lambda2)) * [misc]taylor: Taking taylor expansion of (sin (* -1/2 lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of (* -1/2 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 lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 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 2) (+ (* (* -1/2 lambda2) (/ 0 2)))) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 lambda2)) 1/2) (* 0 0)) into (* 1/2 (cos (* -1/2 lambda2))) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (cos (* -1/2 lambda2)))) into (* 1/2 (cos (* -1/2 lambda2))) * [misc]taylor: Taking taylor expansion of (* 1/2 (cos (* -1/2 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 (* -1/2 lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of (* -1/2 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 lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow -1/2 1) 1))) into (- 1/2) * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8) * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 lambda2)) (- 1/8)) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (sin (* -1/2 lambda2)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* -1/2 lambda2) (/ 0 2)) (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 lambda2)) 0) (+ (* 0 1/2) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/8 (sin (* -1/2 lambda2)))) 0) into (- (* 1/8 (sin (* -1/2 lambda2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/8 (sin (* -1/2 lambda2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/8 (sin (* -1/2 lambda2))) in lambda2 * [misc]taylor: Taking taylor expansion of 1/8 in lambda2 * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (sin (* -1/2 lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of (* -1/2 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 lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 * [misc]backup-simplify: Simplify (* 1/8 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 (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 1) (* 0 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 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 lambda2)) 0) (+ (* 0 (- 1/8)) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* -1/2 lambda2) (/ 0 2)) (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/48) * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 lambda2)) (- 1/48)) (+ (* 0 0) (+ (* 0 1/2) (* 0 0)))) into (- (* 1/48 (cos (* -1/2 lambda2)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/48 (cos (* -1/2 lambda2))))) into (- (* 1/48 (cos (* -1/2 lambda2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/48 (cos (* -1/2 lambda2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/48 (cos (* -1/2 lambda2))) in lambda2 * [misc]taylor: Taking taylor expansion of 1/48 in lambda2 * [misc]backup-simplify: Simplify 1/48 into 1/48 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of (* -1/2 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 lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 * [misc]backup-simplify: Simplify (* 1/48 1) into 1/48 * [misc]backup-simplify: Simplify (- 1/48) into -1/48 * [misc]backup-simplify: Simplify -1/48 into -1/48 * [misc]backup-simplify: Simplify (+ (* -1/48 (pow (* 1 lambda1) 3)) (+ (* -1/2 (* lambda2 1)) (* 1/2 (* 1 lambda1)))) into (- (* 1/2 lambda1) (+ (* 1/48 (pow lambda1 3)) (* 1/2 lambda2))) * [misc]approximate: Taking taylor expansion of (sin (/ (- (/ 1 lambda1) (/ 1 lambda2)) 2)) in (lambda1 lambda2) around 0 * [misc]taylor: Taking taylor expansion of (sin (/ (- (/ 1 lambda1) (/ 1 lambda2)) 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 lambda1) (/ 1 lambda2)) 2) 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]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (sin (/ (- (/ 1 lambda1) (/ 1 lambda2)) 2)) into (sin (* 1/2 (- (/ 1 lambda1) (/ 1 lambda2)))) * [misc]taylor: Taking taylor expansion of (sin (/ (- (/ 1 lambda1) (/ 1 lambda2)) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 lambda1) (/ 1 lambda2)) 2) 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]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sin (/ (- (/ 1 lambda1) (/ 1 lambda2)) 2)) into (sin (* 1/2 (- (/ 1 lambda1) (/ 1 lambda2)))) * [misc]taylor: Taking taylor expansion of (sin (/ (- (/ 1 lambda1) (/ 1 lambda2)) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 lambda1) (/ 1 lambda2)) 2) 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]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sin (/ (- (/ 1 lambda1) (/ 1 lambda2)) 2)) into (sin (* 1/2 (- (/ 1 lambda1) (/ 1 lambda2)))) * [misc]taylor: Taking taylor expansion of (sin (* 1/2 (- (/ 1 lambda1) (/ 1 lambda2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/2 (- (/ 1 lambda1) (/ 1 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 (- (/ 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 (* 1/2 -1) into -1/2 * [misc]backup-simplify: Simplify (sin (* 1/2 (- (/ 1 lambda1) (/ 1 lambda2)))) into (sin (* 1/2 (- (/ 1 lambda1) (/ 1 lambda2)))) * [misc]backup-simplify: Simplify (sin (* 1/2 (- (/ 1 lambda1) (/ 1 lambda2)))) into (sin (* 1/2 (- (/ 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 (sin (* 1/2 (- (/ 1 lambda1) (/ 1 lambda2)))) into (sin (* 1/2 (- (/ 1 lambda1) (/ 1 lambda2)))) * [misc]approximate: Taking taylor expansion of (sin (/ (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) 2)) in (lambda1 lambda2) around 0 * [misc]taylor: Taking taylor expansion of (sin (/ (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) 2) 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]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sin (/ (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) 2)) into (sin (* 1/2 (- (/ 1 lambda2) (/ 1 lambda1)))) * [misc]taylor: Taking taylor expansion of (sin (/ (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) 2) 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]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (sin (/ (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) 2)) into (sin (* 1/2 (- (/ 1 lambda2) (/ 1 lambda1)))) * [misc]taylor: Taking taylor expansion of (sin (/ (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) 2) 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]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (sin (/ (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) 2)) into (sin (* 1/2 (- (/ 1 lambda2) (/ 1 lambda1)))) * [misc]taylor: Taking taylor expansion of (sin (* 1/2 (- (/ 1 lambda2) (/ 1 lambda1)))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/2 (- (/ 1 lambda2) (/ 1 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 (- (/ 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 (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (sin (* 1/2 (- (/ 1 lambda2) (/ 1 lambda1)))) into (sin (* 1/2 (- (/ 1 lambda2) (/ 1 lambda1)))) * [misc]backup-simplify: Simplify (sin (* 1/2 (- (/ 1 lambda2) (/ 1 lambda1)))) into (sin (* 1/2 (- (/ 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 (sin (* 1/2 (- (/ 1 lambda2) (/ 1 lambda1)))) into (sin (* 1/2 (- (/ 1 lambda2) (/ 1 lambda1)))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 2 2 1 2 2 1 2) * [misc]approximate: Taking taylor expansion of (sin (/ (- lambda1 lambda2) 2)) in (lambda1 lambda2) around 0 * [misc]taylor: Taking taylor expansion of (sin (/ (- lambda1 lambda2) 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ (- lambda1 lambda2) 2) 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]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ lambda1 0) into lambda1 * [misc]backup-simplify: Simplify (/ lambda1 2) into (* 1/2 lambda1) * [misc]backup-simplify: Simplify (sin (* 1/2 lambda1)) into (sin (* 1/2 lambda1)) * [misc]backup-simplify: Simplify (cos (* 1/2 lambda1)) into (cos (* 1/2 lambda1)) * [misc]taylor: Taking taylor expansion of (sin (/ (- lambda1 lambda2) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (- lambda1 lambda2) 2) 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]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (+ 0 (- lambda2)) into (- lambda2) * [misc]backup-simplify: Simplify (/ (- lambda2) 2) into (* -1/2 lambda2) * [misc]backup-simplify: Simplify (sin (* -1/2 lambda2)) into (sin (* -1/2 lambda2)) * [misc]backup-simplify: Simplify (cos (* -1/2 lambda2)) into (cos (* -1/2 lambda2)) * [misc]taylor: Taking taylor expansion of (sin (/ (- lambda1 lambda2) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (- lambda1 lambda2) 2) 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]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (+ 0 (- lambda2)) into (- lambda2) * [misc]backup-simplify: Simplify (/ (- lambda2) 2) into (* -1/2 lambda2) * [misc]backup-simplify: Simplify (sin (* -1/2 lambda2)) into (sin (* -1/2 lambda2)) * [misc]backup-simplify: Simplify (cos (* -1/2 lambda2)) into (cos (* -1/2 lambda2)) * [misc]backup-simplify: Simplify (* (sin (* -1/2 lambda2)) 1) into (sin (* -1/2 lambda2)) * [misc]backup-simplify: Simplify (* (cos (* -1/2 lambda2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (* -1/2 lambda2)) 0) into (sin (* -1/2 lambda2)) * [misc]taylor: Taking taylor expansion of (sin (* -1/2 lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of (* -1/2 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 lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 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 2) (+ (* (* -1/2 lambda2) (/ 0 2)))) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 lambda2)) 1/2) (* 0 0)) into (* 1/2 (cos (* -1/2 lambda2))) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (cos (* -1/2 lambda2)))) into (* 1/2 (cos (* -1/2 lambda2))) * [misc]taylor: Taking taylor expansion of (* 1/2 (cos (* -1/2 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 (* -1/2 lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of (* -1/2 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 lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow -1/2 1) 1))) into (- 1/2) * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8) * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 lambda2)) (- 1/8)) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (sin (* -1/2 lambda2)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* -1/2 lambda2) (/ 0 2)) (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 lambda2)) 0) (+ (* 0 1/2) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/8 (sin (* -1/2 lambda2)))) 0) into (- (* 1/8 (sin (* -1/2 lambda2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/8 (sin (* -1/2 lambda2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/8 (sin (* -1/2 lambda2))) in lambda2 * [misc]taylor: Taking taylor expansion of 1/8 in lambda2 * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (sin (* -1/2 lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of (* -1/2 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 lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 * [misc]backup-simplify: Simplify (* 1/8 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 (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 1) (* 0 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 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 lambda2)) 0) (+ (* 0 (- 1/8)) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* -1/2 lambda2) (/ 0 2)) (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/48) * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 lambda2)) (- 1/48)) (+ (* 0 0) (+ (* 0 1/2) (* 0 0)))) into (- (* 1/48 (cos (* -1/2 lambda2)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/48 (cos (* -1/2 lambda2))))) into (- (* 1/48 (cos (* -1/2 lambda2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/48 (cos (* -1/2 lambda2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/48 (cos (* -1/2 lambda2))) in lambda2 * [misc]taylor: Taking taylor expansion of 1/48 in lambda2 * [misc]backup-simplify: Simplify 1/48 into 1/48 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of (* -1/2 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 lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 * [misc]backup-simplify: Simplify (* 1/48 1) into 1/48 * [misc]backup-simplify: Simplify (- 1/48) into -1/48 * [misc]backup-simplify: Simplify -1/48 into -1/48 * [misc]backup-simplify: Simplify (+ (* -1/48 (pow (* 1 lambda1) 3)) (+ (* -1/2 (* lambda2 1)) (* 1/2 (* 1 lambda1)))) into (- (* 1/2 lambda1) (+ (* 1/48 (pow lambda1 3)) (* 1/2 lambda2))) * [misc]approximate: Taking taylor expansion of (sin (/ (- (/ 1 lambda1) (/ 1 lambda2)) 2)) in (lambda1 lambda2) around 0 * [misc]taylor: Taking taylor expansion of (sin (/ (- (/ 1 lambda1) (/ 1 lambda2)) 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 lambda1) (/ 1 lambda2)) 2) 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]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (sin (/ (- (/ 1 lambda1) (/ 1 lambda2)) 2)) into (sin (* 1/2 (- (/ 1 lambda1) (/ 1 lambda2)))) * [misc]taylor: Taking taylor expansion of (sin (/ (- (/ 1 lambda1) (/ 1 lambda2)) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 lambda1) (/ 1 lambda2)) 2) 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]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sin (/ (- (/ 1 lambda1) (/ 1 lambda2)) 2)) into (sin (* 1/2 (- (/ 1 lambda1) (/ 1 lambda2)))) * [misc]taylor: Taking taylor expansion of (sin (/ (- (/ 1 lambda1) (/ 1 lambda2)) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 lambda1) (/ 1 lambda2)) 2) 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]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sin (/ (- (/ 1 lambda1) (/ 1 lambda2)) 2)) into (sin (* 1/2 (- (/ 1 lambda1) (/ 1 lambda2)))) * [misc]taylor: Taking taylor expansion of (sin (* 1/2 (- (/ 1 lambda1) (/ 1 lambda2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/2 (- (/ 1 lambda1) (/ 1 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 (- (/ 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 (* 1/2 -1) into -1/2 * [misc]backup-simplify: Simplify (sin (* 1/2 (- (/ 1 lambda1) (/ 1 lambda2)))) into (sin (* 1/2 (- (/ 1 lambda1) (/ 1 lambda2)))) * [misc]backup-simplify: Simplify (sin (* 1/2 (- (/ 1 lambda1) (/ 1 lambda2)))) into (sin (* 1/2 (- (/ 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 (sin (* 1/2 (- (/ 1 lambda1) (/ 1 lambda2)))) into (sin (* 1/2 (- (/ 1 lambda1) (/ 1 lambda2)))) * [misc]approximate: Taking taylor expansion of (sin (/ (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) 2)) in (lambda1 lambda2) around 0 * [misc]taylor: Taking taylor expansion of (sin (/ (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) 2) 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]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sin (/ (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) 2)) into (sin (* 1/2 (- (/ 1 lambda2) (/ 1 lambda1)))) * [misc]taylor: Taking taylor expansion of (sin (/ (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) 2) 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]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (sin (/ (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) 2)) into (sin (* 1/2 (- (/ 1 lambda2) (/ 1 lambda1)))) * [misc]taylor: Taking taylor expansion of (sin (/ (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) 2) 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]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (sin (/ (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) 2)) into (sin (* 1/2 (- (/ 1 lambda2) (/ 1 lambda1)))) * [misc]taylor: Taking taylor expansion of (sin (* 1/2 (- (/ 1 lambda2) (/ 1 lambda1)))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/2 (- (/ 1 lambda2) (/ 1 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 (- (/ 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 (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (sin (* 1/2 (- (/ 1 lambda2) (/ 1 lambda1)))) into (sin (* 1/2 (- (/ 1 lambda2) (/ 1 lambda1)))) * [misc]backup-simplify: Simplify (sin (* 1/2 (- (/ 1 lambda2) (/ 1 lambda1)))) into (sin (* 1/2 (- (/ 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 (sin (* 1/2 (- (/ 1 lambda2) (/ 1 lambda1)))) into (sin (* 1/2 (- (/ 1 lambda2) (/ 1 lambda1)))) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 2 2 1 2 1 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 2 1 1 1 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 2 2 1 2 2 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 2 2 1 2 2 1 2) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (* R (* 2 (atan2 (sqrt (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) (sqrt (- 1 (+ (pow (- (* 1/2 phi1) (+ (* 1/48 (pow phi1 3)) (* 1/2 phi2))) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (85 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (116 enodes) * * [misc]simplify: iters left: 1 (123 enodes) * [exit]simplify: Simplified to (* (+ R R) (atan2 (sqrt (+ (* (sin (/ (- phi1 phi2) 2)) (sin (/ (- phi1 phi2) 2))) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) (sqrt (- (- 1 (* (- (- (* phi1 1/2) (* (* phi1 phi1) (* 1/48 phi1))) (* phi2 1/2)) (- (- (* phi1 1/2) (* (* phi1 phi1) (* 1/48 phi1))) (* phi2 1/2)))) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))))) * * * * [misc]progress: [ 2 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (* R (* 2 (atan2 (sqrt (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) (sqrt (- 1 (+ (pow (sin (* 1/2 (- (/ 1 phi1) (/ 1 phi2)))) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (97 enodes) * [exit]simplify: Simplified to (* (+ R R) (atan2 (sqrt (+ (* (sin (/ (- phi1 phi2) 2)) (sin (/ (- phi1 phi2) 2))) (* (* (cos phi1) (cos phi2)) (* (sin (/ (- lambda1 lambda2) 2)) (sin (/ (- lambda1 lambda2) 2)))))) (sqrt (- (* (cos (* (- (/ 1 phi1) (/ 1 phi2)) 1/2)) (cos (* (- (/ 1 phi1) (/ 1 phi2)) 1/2))) (* (* (cos phi1) (cos phi2)) (* (sin (/ (- lambda1 lambda2) 2)) (sin (/ (- lambda1 lambda2) 2)))))))) * * * * [misc]progress: [ 3 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (* R (* 2 (atan2 (sqrt (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) (sqrt (- 1 (+ (pow (sin (* 1/2 (- (/ 1 phi2) (/ 1 phi1)))) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (97 enodes) * [exit]simplify: Simplified to (* (+ R R) (atan2 (sqrt (+ (* (sin (/ (- phi1 phi2) 2)) (sin (/ (- phi1 phi2) 2))) (* (* (cos phi1) (cos phi2)) (* (sin (/ (- lambda1 lambda2) 2)) (sin (/ (- lambda1 lambda2) 2)))))) (sqrt (- (* (cos (* (- (/ 1 phi2) (/ 1 phi1)) 1/2)) (cos (* (- (/ 1 phi2) (/ 1 phi1)) 1/2))) (* (* (cos phi1) (cos phi2)) (* (sin (/ (- lambda1 lambda2) 2)) (sin (/ (- lambda1 lambda2) 2)))))))) * * * * [misc]progress: [ 4 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (* R (* 2 (atan2 (sqrt (+ (pow (- (* 1/2 phi1) (+ (* 1/48 (pow phi1 3)) (* 1/2 phi2))) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (118 enodes) * * [misc]simplify: iters left: 1 (125 enodes) * [exit]simplify: Simplified to (* (+ R R) (atan2 (sqrt (+ (* (sin (/ (- lambda1 lambda2) 2)) (* (sin (/ (- lambda1 lambda2) 2)) (* (cos phi1) (cos phi2)))) (* (- (- (* 1/2 phi1) (* (* phi1 phi1) (* phi1 1/48))) (* phi2 1/2)) (- (- (* 1/2 phi1) (* (* phi1 phi1) (* phi1 1/48))) (* phi2 1/2))))) (sqrt (- (* (cos (/ (- phi1 phi2) 2)) (cos (/ (- phi1 phi2) 2))) (* (sin (/ (- lambda1 lambda2) 2)) (* (sin (/ (- lambda1 lambda2) 2)) (* (cos phi1) (cos phi2)))))))) * * * * [misc]progress: [ 5 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (* R (* 2 (atan2 (sqrt (+ (pow (sin (* 1/2 (- (/ 1 phi1) (/ 1 phi2)))) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (97 enodes) * [exit]simplify: Simplified to (* (+ R R) (atan2 (sqrt (+ (* (sin (* (- (/ 1 phi1) (/ 1 phi2)) 1/2)) (sin (* (- (/ 1 phi1) (/ 1 phi2)) 1/2))) (* (* (sin (/ (- lambda1 lambda2) 2)) (cos phi2)) (* (sin (/ (- lambda1 lambda2) 2)) (cos phi1))))) (sqrt (- (* (cos (/ (- phi1 phi2) 2)) (cos (/ (- phi1 phi2) 2))) (* (* (sin (/ (- lambda1 lambda2) 2)) (cos phi2)) (* (sin (/ (- lambda1 lambda2) 2)) (cos phi1))))))) * * * * [misc]progress: [ 6 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (* R (* 2 (atan2 (sqrt (+ (pow (sin (* 1/2 (- (/ 1 phi2) (/ 1 phi1)))) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (97 enodes) * [exit]simplify: Simplified to (* (+ R R) (atan2 (sqrt (+ (* (sin (* (- (/ 1 phi2) (/ 1 phi1)) 1/2)) (sin (* (- (/ 1 phi2) (/ 1 phi1)) 1/2))) (* (* (sin (/ (- lambda1 lambda2) 2)) (cos phi2)) (* (sin (/ (- lambda1 lambda2) 2)) (cos phi1))))) (sqrt (- (* (cos (/ (- phi1 phi2) 2)) (cos (/ (- phi1 phi2) 2))) (* (* (sin (/ (- lambda1 lambda2) 2)) (cos phi2)) (* (sin (/ (- lambda1 lambda2) 2)) (cos phi1))))))) * * * * [misc]progress: [ 7 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (* R (* 2 (atan2 (sqrt (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (- (* 1/2 lambda1) (+ (* 1/48 (pow lambda1 3)) (* 1/2 lambda2)))))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (91 enodes) * * [misc]simplify: iters left: 3 (124 enodes) * * [misc]simplify: iters left: 2 (144 enodes) * * [misc]simplify: iters left: 1 (156 enodes) * [exit]simplify: Simplified to (* (atan2 (sqrt (+ (* (sin (/ (- phi1 phi2) 2)) (sin (/ (- phi1 phi2) 2))) (* (* (sin (/ (- lambda1 lambda2) 2)) (cos phi2)) (* (cos phi1) (sin (/ (- lambda1 lambda2) 2)))))) (sqrt (- (* (cos (/ (- phi1 phi2) 2)) (cos (/ (- phi1 phi2) 2))) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (- (- (* lambda1 1/2) (* (* 1/48 lambda1) (* lambda1 lambda1))) (* 1/2 lambda2)))))) (+ R R)) * * * * [misc]progress: [ 8 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (* R (* 2 (atan2 (sqrt (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (* 1/2 (- (/ 1 lambda1) (/ 1 lambda2))))))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (118 enodes) * * [misc]simplify: iters left: 1 (133 enodes) * [exit]simplify: Simplified to (* (atan2 (sqrt (+ (* (sin (/ (- phi1 phi2) 2)) (sin (/ (- phi1 phi2) 2))) (* (* (cos phi1) (cos phi2)) (* (sin (/ (- lambda1 lambda2) 2)) (sin (/ (- lambda1 lambda2) 2)))))) (sqrt (- (* (cos (/ (- phi1 phi2) 2)) (cos (/ (- phi1 phi2) 2))) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (* (- (/ 1 lambda1) (/ 1 lambda2)) 1/2)))))) (+ R R)) * * * * [misc]progress: [ 9 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (* R (* 2 (atan2 (sqrt (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (* 1/2 (- (/ 1 lambda2) (/ 1 lambda1))))))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (118 enodes) * * [misc]simplify: iters left: 1 (133 enodes) * [exit]simplify: Simplified to (* (atan2 (sqrt (+ (* (sin (/ (- phi1 phi2) 2)) (sin (/ (- phi1 phi2) 2))) (* (* (cos phi1) (cos phi2)) (* (sin (/ (- lambda1 lambda2) 2)) (sin (/ (- lambda1 lambda2) 2)))))) (sqrt (- (* (cos (/ (- phi1 phi2) 2)) (cos (/ (- phi1 phi2) 2))) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (* (- (/ 1 lambda2) (/ 1 lambda1)) 1/2)))))) (+ R R)) * * * * [misc]progress: [ 10 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (* R (* 2 (atan2 (sqrt (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (- (* 1/2 lambda1) (+ (* 1/48 (pow lambda1 3)) (* 1/2 lambda2)))) (sin (/ (- lambda1 lambda2) 2))))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (145 enodes) * * [misc]simplify: iters left: 1 (160 enodes) * [exit]simplify: Simplified to (* (atan2 (sqrt (+ (* (sin (/ (- phi1 phi2) 2)) (sin (/ (- phi1 phi2) 2))) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) (sqrt (- (* (cos (/ (- phi1 phi2) 2)) (cos (/ (- phi1 phi2) 2))) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (- (- (* lambda1 1/2) (* (* 1/48 lambda1) (* lambda1 lambda1))) (* 1/2 lambda2)))))) (+ R R)) * * * * [misc]progress: [ 11 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (* R (* 2 (atan2 (sqrt (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (* 1/2 (- (/ 1 lambda1) (/ 1 lambda2))))) (sin (/ (- lambda1 lambda2) 2))))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (127 enodes) * [exit]simplify: Simplified to (* (+ R R) (atan2 (sqrt (+ (* (sin (/ (- phi1 phi2) 2)) (sin (/ (- phi1 phi2) 2))) (* (* (sin (/ (- lambda1 lambda2) 2)) (sin (/ (- lambda1 lambda2) 2))) (* (cos phi1) (cos phi2))))) (sqrt (- (* (cos (/ (- phi1 phi2) 2)) (cos (/ (- phi1 phi2) 2))) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (* (- (/ 1 lambda1) (/ 1 lambda2)) 1/2))))))) * * * * [misc]progress: [ 12 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (* R (* 2 (atan2 (sqrt (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (* 1/2 (- (/ 1 lambda2) (/ 1 lambda1))))) (sin (/ (- lambda1 lambda2) 2))))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (127 enodes) * [exit]simplify: Simplified to (* (+ R R) (atan2 (sqrt (+ (* (sin (/ (- phi1 phi2) 2)) (sin (/ (- phi1 phi2) 2))) (* (* (sin (/ (- lambda1 lambda2) 2)) (sin (/ (- lambda1 lambda2) 2))) (* (cos phi1) (cos phi2))))) (sqrt (- (* (cos (/ (- phi1 phi2) 2)) (cos (/ (- phi1 phi2) 2))) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (* (- (/ 1 lambda2) (/ 1 lambda1)) 1/2))))))) * * * * [misc]progress: [ 13 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin (/ phi1 2)) (cos (/ phi2 2))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (* (sin (/ phi1 2)) (cos (/ phi2 2))) * [exit]simplify: Simplified to (* (sin (/ phi1 2)) (cos (/ phi2 2))) * [enter]simplify: Simplifying (* (cos (/ phi1 2)) (sin (/ phi2 2))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (* (cos (/ phi1 2)) (sin (/ phi2 2))) * [exit]simplify: Simplified to (* (cos (/ phi1 2)) (sin (/ phi2 2))) * * * * [misc]progress: [ 14 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sin (/ (- phi1 phi2) 2))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (log (sin (/ (- phi1 phi2) 2))) * [exit]simplify: Simplified to (log (sin (/ (- phi1 phi2) 2))) * * * * [misc]progress: [ 16 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sin (/ (- phi1 phi2) 2))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (exp (sin (/ (- phi1 phi2) 2))) * [exit]simplify: Simplified to (exp (sin (/ (- phi1 phi2) 2))) * * * * [misc]progress: [ 17 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sin (/ (- phi1 phi2) 2))) (cbrt (sin (/ (- phi1 phi2) 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* (cbrt (sin (/ (- phi1 phi2) 2))) (cbrt (sin (/ (- phi1 phi2) 2)))) * [exit]simplify: Simplified to (* (cbrt (sin (/ (- phi1 phi2) 2))) (cbrt (sin (/ (- phi1 phi2) 2)))) * [enter]simplify: Simplifying (cbrt (sin (/ (- phi1 phi2) 2))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (cbrt (sin (/ (- phi1 phi2) 2))) * [exit]simplify: Simplified to (cbrt (sin (/ (- phi1 phi2) 2))) * * * * [misc]progress: [ 18 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sin (/ (- phi1 phi2) 2)) (sin (/ (- phi1 phi2) 2))) (sin (/ (- phi1 phi2) 2))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (pow (sin (/ (- phi1 phi2) 2)) 3) * [exit]simplify: Simplified to (pow (sin (/ (- phi1 phi2) 2)) 3) * * * * [misc]progress: [ 19 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sin (/ (- phi1 phi2) 2))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (sin (/ (- phi1 phi2) 2))) * [exit]simplify: Simplified to (sqrt (sin (/ (- phi1 phi2) 2))) * [enter]simplify: Simplifying (sqrt (sin (/ (- phi1 phi2) 2))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (sin (/ (- phi1 phi2) 2))) * [exit]simplify: Simplified to (sqrt (sin (/ (- phi1 phi2) 2))) * * * * [misc]progress: [ 20 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin (/ phi1 2)) (cos (/ phi2 2))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (* (sin (/ phi1 2)) (cos (/ phi2 2))) * [exit]simplify: Simplified to (* (sin (/ phi1 2)) (cos (/ phi2 2))) * [enter]simplify: Simplifying (* (cos (/ phi1 2)) (sin (/ phi2 2))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (* (cos (/ phi1 2)) (sin (/ phi2 2))) * [exit]simplify: Simplified to (* (cos (/ phi1 2)) (sin (/ phi2 2))) * * * * [misc]progress: [ 22 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sin (/ (- phi1 phi2) 2))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (log (sin (/ (- phi1 phi2) 2))) * [exit]simplify: Simplified to (log (sin (/ (- phi1 phi2) 2))) * * * * [misc]progress: [ 24 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sin (/ (- phi1 phi2) 2))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (exp (sin (/ (- phi1 phi2) 2))) * [exit]simplify: Simplified to (exp (sin (/ (- phi1 phi2) 2))) * * * * [misc]progress: [ 25 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sin (/ (- phi1 phi2) 2))) (cbrt (sin (/ (- phi1 phi2) 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* (cbrt (sin (/ (- phi1 phi2) 2))) (cbrt (sin (/ (- phi1 phi2) 2)))) * [exit]simplify: Simplified to (* (cbrt (sin (/ (- phi1 phi2) 2))) (cbrt (sin (/ (- phi1 phi2) 2)))) * [enter]simplify: Simplifying (cbrt (sin (/ (- phi1 phi2) 2))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (cbrt (sin (/ (- phi1 phi2) 2))) * [exit]simplify: Simplified to (cbrt (sin (/ (- phi1 phi2) 2))) * * * * [misc]progress: [ 26 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sin (/ (- phi1 phi2) 2)) (sin (/ (- phi1 phi2) 2))) (sin (/ (- phi1 phi2) 2))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (pow (sin (/ (- phi1 phi2) 2)) 3) * [exit]simplify: Simplified to (pow (sin (/ (- phi1 phi2) 2)) 3) * * * * [misc]progress: [ 27 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sin (/ (- phi1 phi2) 2))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (sin (/ (- phi1 phi2) 2))) * [exit]simplify: Simplified to (sqrt (sin (/ (- phi1 phi2) 2))) * [enter]simplify: Simplifying (sqrt (sin (/ (- phi1 phi2) 2))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (sin (/ (- phi1 phi2) 2))) * [exit]simplify: Simplified to (sqrt (sin (/ (- phi1 phi2) 2))) * * * * [misc]progress: [ 28 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin (/ lambda1 2)) (cos (/ lambda2 2))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (* (sin (/ lambda1 2)) (cos (/ lambda2 2))) * [exit]simplify: Simplified to (* (sin (/ lambda1 2)) (cos (/ lambda2 2))) * [enter]simplify: Simplifying (* (cos (/ lambda1 2)) (sin (/ lambda2 2))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (* (cos (/ lambda1 2)) (sin (/ lambda2 2))) * [exit]simplify: Simplified to (* (cos (/ lambda1 2)) (sin (/ lambda2 2))) * * * * [misc]progress: [ 30 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sin (/ (- lambda1 lambda2) 2))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (log (sin (/ (- lambda1 lambda2) 2))) * [exit]simplify: Simplified to (log (sin (/ (- lambda1 lambda2) 2))) * * * * [misc]progress: [ 32 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sin (/ (- lambda1 lambda2) 2))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (exp (sin (/ (- lambda1 lambda2) 2))) * [exit]simplify: Simplified to (exp (sin (/ (- lambda1 lambda2) 2))) * * * * [misc]progress: [ 33 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sin (/ (- lambda1 lambda2) 2))) (cbrt (sin (/ (- lambda1 lambda2) 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* (cbrt (sin (/ (- lambda1 lambda2) 2))) (cbrt (sin (/ (- lambda1 lambda2) 2)))) * [exit]simplify: Simplified to (* (cbrt (sin (/ (- lambda1 lambda2) 2))) (cbrt (sin (/ (- lambda1 lambda2) 2)))) * [enter]simplify: Simplifying (cbrt (sin (/ (- lambda1 lambda2) 2))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (cbrt (sin (/ (- lambda1 lambda2) 2))) * [exit]simplify: Simplified to (cbrt (sin (/ (- lambda1 lambda2) 2))) * * * * [misc]progress: [ 34 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sin (/ (- lambda1 lambda2) 2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (pow (sin (/ (- lambda1 lambda2) 2)) 3) * [exit]simplify: Simplified to (pow (sin (/ (- lambda1 lambda2) 2)) 3) * * * * [misc]progress: [ 35 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sin (/ (- lambda1 lambda2) 2))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (sin (/ (- lambda1 lambda2) 2))) * [exit]simplify: Simplified to (sqrt (sin (/ (- lambda1 lambda2) 2))) * [enter]simplify: Simplifying (sqrt (sin (/ (- lambda1 lambda2) 2))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (sin (/ (- lambda1 lambda2) 2))) * [exit]simplify: Simplified to (sqrt (sin (/ (- lambda1 lambda2) 2))) * * * * [misc]progress: [ 36 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin (/ lambda1 2)) (cos (/ lambda2 2))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (* (sin (/ lambda1 2)) (cos (/ lambda2 2))) * [exit]simplify: Simplified to (* (sin (/ lambda1 2)) (cos (/ lambda2 2))) * [enter]simplify: Simplifying (* (cos (/ lambda1 2)) (sin (/ lambda2 2))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (* (cos (/ lambda1 2)) (sin (/ lambda2 2))) * [exit]simplify: Simplified to (* (cos (/ lambda1 2)) (sin (/ lambda2 2))) * * * * [misc]progress: [ 38 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sin (/ (- lambda1 lambda2) 2))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (log (sin (/ (- lambda1 lambda2) 2))) * [exit]simplify: Simplified to (log (sin (/ (- lambda1 lambda2) 2))) * * * * [misc]progress: [ 40 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sin (/ (- lambda1 lambda2) 2))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (exp (sin (/ (- lambda1 lambda2) 2))) * [exit]simplify: Simplified to (exp (sin (/ (- lambda1 lambda2) 2))) * * * * [misc]progress: [ 41 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sin (/ (- lambda1 lambda2) 2))) (cbrt (sin (/ (- lambda1 lambda2) 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* (cbrt (sin (/ (- lambda1 lambda2) 2))) (cbrt (sin (/ (- lambda1 lambda2) 2)))) * [exit]simplify: Simplified to (* (cbrt (sin (/ (- lambda1 lambda2) 2))) (cbrt (sin (/ (- lambda1 lambda2) 2)))) * [enter]simplify: Simplifying (cbrt (sin (/ (- lambda1 lambda2) 2))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (cbrt (sin (/ (- lambda1 lambda2) 2))) * [exit]simplify: Simplified to (cbrt (sin (/ (- lambda1 lambda2) 2))) * * * * [misc]progress: [ 42 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sin (/ (- lambda1 lambda2) 2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (pow (sin (/ (- lambda1 lambda2) 2)) 3) * [exit]simplify: Simplified to (pow (sin (/ (- lambda1 lambda2) 2)) 3) * * * * [misc]progress: [ 43 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sin (/ (- lambda1 lambda2) 2))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (sin (/ (- lambda1 lambda2) 2))) * [exit]simplify: Simplified to (sqrt (sin (/ (- lambda1 lambda2) 2))) * [enter]simplify: Simplifying (sqrt (sin (/ (- lambda1 lambda2) 2))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (sin (/ (- lambda1 lambda2) 2))) * [exit]simplify: Simplified to (sqrt (sin (/ (- lambda1 lambda2) 2))) * * * * [misc]progress: [ 44 / 44 ] simplifiying candidate # * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 3 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 2 2 1 2 1 1) * [misc]approximate: Taking taylor expansion of (sin (/ (- phi1 phi2) 2)) in (phi1 phi2) around 0 * [misc]taylor: Taking taylor expansion of (sin (/ (- phi1 phi2) 2)) in phi2 * [misc]taylor: Taking taylor expansion of (/ (- phi1 phi2) 2) in phi2 * [misc]taylor: Taking taylor expansion of (- phi1 phi2) in phi2 * [misc]taylor: Taking taylor expansion of phi1 in phi2 * [misc]backup-simplify: Simplify phi1 into phi1 * [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 2 in phi2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ phi1 0) into phi1 * [misc]backup-simplify: Simplify (/ phi1 2) into (* 1/2 phi1) * [misc]backup-simplify: Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1)) * [misc]backup-simplify: Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1)) * [misc]taylor: Taking taylor expansion of (sin (/ (- phi1 phi2) 2)) in phi1 * [misc]taylor: Taking taylor expansion of (/ (- phi1 phi2) 2) in phi1 * [misc]taylor: Taking taylor expansion of (- phi1 phi2) 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 phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (+ 0 (- phi2)) into (- phi2) * [misc]backup-simplify: Simplify (/ (- phi2) 2) into (* -1/2 phi2) * [misc]backup-simplify: Simplify (sin (* -1/2 phi2)) into (sin (* -1/2 phi2)) * [misc]backup-simplify: Simplify (cos (* -1/2 phi2)) into (cos (* -1/2 phi2)) * [misc]taylor: Taking taylor expansion of (sin (/ (- phi1 phi2) 2)) in phi1 * [misc]taylor: Taking taylor expansion of (/ (- phi1 phi2) 2) in phi1 * [misc]taylor: Taking taylor expansion of (- phi1 phi2) 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 phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (+ 0 (- phi2)) into (- phi2) * [misc]backup-simplify: Simplify (/ (- phi2) 2) into (* -1/2 phi2) * [misc]backup-simplify: Simplify (sin (* -1/2 phi2)) into (sin (* -1/2 phi2)) * [misc]backup-simplify: Simplify (cos (* -1/2 phi2)) into (cos (* -1/2 phi2)) * [misc]backup-simplify: Simplify (* (sin (* -1/2 phi2)) 1) into (sin (* -1/2 phi2)) * [misc]backup-simplify: Simplify (* (cos (* -1/2 phi2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (* -1/2 phi2)) 0) into (sin (* -1/2 phi2)) * [misc]taylor: Taking taylor expansion of (sin (* -1/2 phi2)) in phi2 * [misc]taylor: Taking taylor expansion of (* -1/2 phi2) in phi2 * [misc]taylor: Taking taylor expansion of -1/2 in phi2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 phi2)) 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 2) (+ (* (* -1/2 phi2) (/ 0 2)))) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 phi2)) 1/2) (* 0 0)) into (* 1/2 (cos (* -1/2 phi2))) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (cos (* -1/2 phi2)))) into (* 1/2 (cos (* -1/2 phi2))) * [misc]taylor: Taking taylor expansion of (* 1/2 (cos (* -1/2 phi2))) in phi2 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 phi2)) in phi2 * [misc]taylor: Taking taylor expansion of (* -1/2 phi2) in phi2 * [misc]taylor: Taking taylor expansion of -1/2 in phi2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow -1/2 1) 1))) into (- 1/2) * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8) * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 phi2)) (- 1/8)) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (sin (* -1/2 phi2)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* -1/2 phi2) (/ 0 2)) (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 phi2)) 0) (+ (* 0 1/2) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/8 (sin (* -1/2 phi2)))) 0) into (- (* 1/8 (sin (* -1/2 phi2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/8 (sin (* -1/2 phi2)))) in phi2 * [misc]taylor: Taking taylor expansion of (* 1/8 (sin (* -1/2 phi2))) in phi2 * [misc]taylor: Taking taylor expansion of 1/8 in phi2 * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (sin (* -1/2 phi2)) in phi2 * [misc]taylor: Taking taylor expansion of (* -1/2 phi2) in phi2 * [misc]taylor: Taking taylor expansion of -1/2 in phi2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 * [misc]backup-simplify: Simplify (* 1/8 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 (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 1) (* 0 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 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 phi2)) 0) (+ (* 0 (- 1/8)) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* -1/2 phi2) (/ 0 2)) (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/48) * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 phi2)) (- 1/48)) (+ (* 0 0) (+ (* 0 1/2) (* 0 0)))) into (- (* 1/48 (cos (* -1/2 phi2)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/48 (cos (* -1/2 phi2))))) into (- (* 1/48 (cos (* -1/2 phi2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/48 (cos (* -1/2 phi2)))) in phi2 * [misc]taylor: Taking taylor expansion of (* 1/48 (cos (* -1/2 phi2))) in phi2 * [misc]taylor: Taking taylor expansion of 1/48 in phi2 * [misc]backup-simplify: Simplify 1/48 into 1/48 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 phi2)) in phi2 * [misc]taylor: Taking taylor expansion of (* -1/2 phi2) in phi2 * [misc]taylor: Taking taylor expansion of -1/2 in phi2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 * [misc]backup-simplify: Simplify (* 1/48 1) into 1/48 * [misc]backup-simplify: Simplify (- 1/48) into -1/48 * [misc]backup-simplify: Simplify -1/48 into -1/48 * [misc]backup-simplify: Simplify (+ (* -1/48 (pow (* 1 phi1) 3)) (+ (* -1/2 (* phi2 1)) (* 1/2 (* 1 phi1)))) into (- (* 1/2 phi1) (+ (* 1/48 (pow phi1 3)) (* 1/2 phi2))) * [misc]approximate: Taking taylor expansion of (sin (/ (- (/ 1 phi1) (/ 1 phi2)) 2)) in (phi1 phi2) around 0 * [misc]taylor: Taking taylor expansion of (sin (/ (- (/ 1 phi1) (/ 1 phi2)) 2)) in phi2 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 phi1) (/ 1 phi2)) 2) in phi2 * [misc]taylor: Taking taylor expansion of (- (/ 1 phi1) (/ 1 phi2)) 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]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]taylor: Taking taylor expansion of 2 in phi2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (sin (/ (- (/ 1 phi1) (/ 1 phi2)) 2)) into (sin (* 1/2 (- (/ 1 phi1) (/ 1 phi2)))) * [misc]taylor: Taking taylor expansion of (sin (/ (- (/ 1 phi1) (/ 1 phi2)) 2)) in phi1 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 phi1) (/ 1 phi2)) 2) in phi1 * [misc]taylor: Taking taylor expansion of (- (/ 1 phi1) (/ 1 phi2)) 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]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]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sin (/ (- (/ 1 phi1) (/ 1 phi2)) 2)) into (sin (* 1/2 (- (/ 1 phi1) (/ 1 phi2)))) * [misc]taylor: Taking taylor expansion of (sin (/ (- (/ 1 phi1) (/ 1 phi2)) 2)) in phi1 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 phi1) (/ 1 phi2)) 2) in phi1 * [misc]taylor: Taking taylor expansion of (- (/ 1 phi1) (/ 1 phi2)) 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]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]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sin (/ (- (/ 1 phi1) (/ 1 phi2)) 2)) into (sin (* 1/2 (- (/ 1 phi1) (/ 1 phi2)))) * [misc]taylor: Taking taylor expansion of (sin (* 1/2 (- (/ 1 phi1) (/ 1 phi2)))) in phi2 * [misc]taylor: Taking taylor expansion of (* 1/2 (- (/ 1 phi1) (/ 1 phi2))) in phi2 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (- (/ 1 phi1) (/ 1 phi2)) 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]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 (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* 1/2 -1) into -1/2 * [misc]backup-simplify: Simplify (sin (* 1/2 (- (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (- (/ 1 phi1) (/ 1 phi2)))) * [misc]backup-simplify: Simplify (sin (* 1/2 (- (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (- (/ 1 phi1) (/ 1 phi2)))) * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (* 1/2 (- (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (- (/ 1 phi1) (/ 1 phi2)))) * [misc]approximate: Taking taylor expansion of (sin (/ (- (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) in (phi1 phi2) around 0 * [misc]taylor: Taking taylor expansion of (sin (/ (- (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) in phi2 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- phi1)) (/ 1 (- phi2))) 2) in phi2 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- phi1)) (/ 1 (- phi2))) 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]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]taylor: Taking taylor expansion of 2 in phi2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sin (/ (- (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) into (sin (* 1/2 (- (/ 1 phi2) (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of (sin (/ (- (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) in phi1 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- phi1)) (/ 1 (- phi2))) 2) in phi1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- phi1)) (/ 1 (- phi2))) 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]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]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (sin (/ (- (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) into (sin (* 1/2 (- (/ 1 phi2) (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of (sin (/ (- (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) in phi1 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- phi1)) (/ 1 (- phi2))) 2) in phi1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- phi1)) (/ 1 (- phi2))) 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]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]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (sin (/ (- (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) into (sin (* 1/2 (- (/ 1 phi2) (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of (sin (* 1/2 (- (/ 1 phi2) (/ 1 phi1)))) in phi2 * [misc]taylor: Taking taylor expansion of (* 1/2 (- (/ 1 phi2) (/ 1 phi1))) in phi2 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (- (/ 1 phi2) (/ 1 phi1)) 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]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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (sin (* 1/2 (- (/ 1 phi2) (/ 1 phi1)))) into (sin (* 1/2 (- (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* 1/2 (- (/ 1 phi2) (/ 1 phi1)))) into (sin (* 1/2 (- (/ 1 phi2) (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (* 1/2 (- (/ 1 phi2) (/ 1 phi1)))) into (sin (* 1/2 (- (/ 1 phi2) (/ 1 phi1)))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 2 2 1 2 2 2) * [misc]approximate: Taking taylor expansion of (sin (/ (- lambda1 lambda2) 2)) in (lambda1 lambda2) around 0 * [misc]taylor: Taking taylor expansion of (sin (/ (- lambda1 lambda2) 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ (- lambda1 lambda2) 2) 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]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ lambda1 0) into lambda1 * [misc]backup-simplify: Simplify (/ lambda1 2) into (* 1/2 lambda1) * [misc]backup-simplify: Simplify (sin (* 1/2 lambda1)) into (sin (* 1/2 lambda1)) * [misc]backup-simplify: Simplify (cos (* 1/2 lambda1)) into (cos (* 1/2 lambda1)) * [misc]taylor: Taking taylor expansion of (sin (/ (- lambda1 lambda2) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (- lambda1 lambda2) 2) 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]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (+ 0 (- lambda2)) into (- lambda2) * [misc]backup-simplify: Simplify (/ (- lambda2) 2) into (* -1/2 lambda2) * [misc]backup-simplify: Simplify (sin (* -1/2 lambda2)) into (sin (* -1/2 lambda2)) * [misc]backup-simplify: Simplify (cos (* -1/2 lambda2)) into (cos (* -1/2 lambda2)) * [misc]taylor: Taking taylor expansion of (sin (/ (- lambda1 lambda2) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (- lambda1 lambda2) 2) 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]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (+ 0 (- lambda2)) into (- lambda2) * [misc]backup-simplify: Simplify (/ (- lambda2) 2) into (* -1/2 lambda2) * [misc]backup-simplify: Simplify (sin (* -1/2 lambda2)) into (sin (* -1/2 lambda2)) * [misc]backup-simplify: Simplify (cos (* -1/2 lambda2)) into (cos (* -1/2 lambda2)) * [misc]backup-simplify: Simplify (* (sin (* -1/2 lambda2)) 1) into (sin (* -1/2 lambda2)) * [misc]backup-simplify: Simplify (* (cos (* -1/2 lambda2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (* -1/2 lambda2)) 0) into (sin (* -1/2 lambda2)) * [misc]taylor: Taking taylor expansion of (sin (* -1/2 lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of (* -1/2 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 lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 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 2) (+ (* (* -1/2 lambda2) (/ 0 2)))) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 lambda2)) 1/2) (* 0 0)) into (* 1/2 (cos (* -1/2 lambda2))) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (cos (* -1/2 lambda2)))) into (* 1/2 (cos (* -1/2 lambda2))) * [misc]taylor: Taking taylor expansion of (* 1/2 (cos (* -1/2 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 (* -1/2 lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of (* -1/2 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 lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow -1/2 1) 1))) into (- 1/2) * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8) * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 lambda2)) (- 1/8)) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (sin (* -1/2 lambda2)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* -1/2 lambda2) (/ 0 2)) (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 lambda2)) 0) (+ (* 0 1/2) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/8 (sin (* -1/2 lambda2)))) 0) into (- (* 1/8 (sin (* -1/2 lambda2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/8 (sin (* -1/2 lambda2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/8 (sin (* -1/2 lambda2))) in lambda2 * [misc]taylor: Taking taylor expansion of 1/8 in lambda2 * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (sin (* -1/2 lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of (* -1/2 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 lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 * [misc]backup-simplify: Simplify (* 1/8 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 (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 1) (* 0 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 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 lambda2)) 0) (+ (* 0 (- 1/8)) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* -1/2 lambda2) (/ 0 2)) (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/48) * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 lambda2)) (- 1/48)) (+ (* 0 0) (+ (* 0 1/2) (* 0 0)))) into (- (* 1/48 (cos (* -1/2 lambda2)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/48 (cos (* -1/2 lambda2))))) into (- (* 1/48 (cos (* -1/2 lambda2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/48 (cos (* -1/2 lambda2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/48 (cos (* -1/2 lambda2))) in lambda2 * [misc]taylor: Taking taylor expansion of 1/48 in lambda2 * [misc]backup-simplify: Simplify 1/48 into 1/48 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of (* -1/2 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 lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 * [misc]backup-simplify: Simplify (* 1/48 1) into 1/48 * [misc]backup-simplify: Simplify (- 1/48) into -1/48 * [misc]backup-simplify: Simplify -1/48 into -1/48 * [misc]backup-simplify: Simplify (+ (* -1/48 (pow (* 1 lambda1) 3)) (+ (* -1/2 (* lambda2 1)) (* 1/2 (* 1 lambda1)))) into (- (* 1/2 lambda1) (+ (* 1/48 (pow lambda1 3)) (* 1/2 lambda2))) * [misc]approximate: Taking taylor expansion of (sin (/ (- (/ 1 lambda1) (/ 1 lambda2)) 2)) in (lambda1 lambda2) around 0 * [misc]taylor: Taking taylor expansion of (sin (/ (- (/ 1 lambda1) (/ 1 lambda2)) 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 lambda1) (/ 1 lambda2)) 2) 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]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (sin (/ (- (/ 1 lambda1) (/ 1 lambda2)) 2)) into (sin (* 1/2 (- (/ 1 lambda1) (/ 1 lambda2)))) * [misc]taylor: Taking taylor expansion of (sin (/ (- (/ 1 lambda1) (/ 1 lambda2)) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 lambda1) (/ 1 lambda2)) 2) 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]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sin (/ (- (/ 1 lambda1) (/ 1 lambda2)) 2)) into (sin (* 1/2 (- (/ 1 lambda1) (/ 1 lambda2)))) * [misc]taylor: Taking taylor expansion of (sin (/ (- (/ 1 lambda1) (/ 1 lambda2)) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 lambda1) (/ 1 lambda2)) 2) 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]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sin (/ (- (/ 1 lambda1) (/ 1 lambda2)) 2)) into (sin (* 1/2 (- (/ 1 lambda1) (/ 1 lambda2)))) * [misc]taylor: Taking taylor expansion of (sin (* 1/2 (- (/ 1 lambda1) (/ 1 lambda2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/2 (- (/ 1 lambda1) (/ 1 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 (- (/ 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 (* 1/2 -1) into -1/2 * [misc]backup-simplify: Simplify (sin (* 1/2 (- (/ 1 lambda1) (/ 1 lambda2)))) into (sin (* 1/2 (- (/ 1 lambda1) (/ 1 lambda2)))) * [misc]backup-simplify: Simplify (sin (* 1/2 (- (/ 1 lambda1) (/ 1 lambda2)))) into (sin (* 1/2 (- (/ 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 (sin (* 1/2 (- (/ 1 lambda1) (/ 1 lambda2)))) into (sin (* 1/2 (- (/ 1 lambda1) (/ 1 lambda2)))) * [misc]approximate: Taking taylor expansion of (sin (/ (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) 2)) in (lambda1 lambda2) around 0 * [misc]taylor: Taking taylor expansion of (sin (/ (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) 2) 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]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sin (/ (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) 2)) into (sin (* 1/2 (- (/ 1 lambda2) (/ 1 lambda1)))) * [misc]taylor: Taking taylor expansion of (sin (/ (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) 2) 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]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (sin (/ (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) 2)) into (sin (* 1/2 (- (/ 1 lambda2) (/ 1 lambda1)))) * [misc]taylor: Taking taylor expansion of (sin (/ (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) 2) 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]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (sin (/ (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) 2)) into (sin (* 1/2 (- (/ 1 lambda2) (/ 1 lambda1)))) * [misc]taylor: Taking taylor expansion of (sin (* 1/2 (- (/ 1 lambda2) (/ 1 lambda1)))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/2 (- (/ 1 lambda2) (/ 1 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 (- (/ 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 (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (sin (* 1/2 (- (/ 1 lambda2) (/ 1 lambda1)))) into (sin (* 1/2 (- (/ 1 lambda2) (/ 1 lambda1)))) * [misc]backup-simplify: Simplify (sin (* 1/2 (- (/ 1 lambda2) (/ 1 lambda1)))) into (sin (* 1/2 (- (/ 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 (sin (* 1/2 (- (/ 1 lambda2) (/ 1 lambda1)))) into (sin (* 1/2 (- (/ 1 lambda2) (/ 1 lambda1)))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 2 2 1 2 2 1 2) * [misc]approximate: Taking taylor expansion of (sin (/ (- lambda1 lambda2) 2)) in (lambda1 lambda2) around 0 * [misc]taylor: Taking taylor expansion of (sin (/ (- lambda1 lambda2) 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ (- lambda1 lambda2) 2) 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]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ lambda1 0) into lambda1 * [misc]backup-simplify: Simplify (/ lambda1 2) into (* 1/2 lambda1) * [misc]backup-simplify: Simplify (sin (* 1/2 lambda1)) into (sin (* 1/2 lambda1)) * [misc]backup-simplify: Simplify (cos (* 1/2 lambda1)) into (cos (* 1/2 lambda1)) * [misc]taylor: Taking taylor expansion of (sin (/ (- lambda1 lambda2) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (- lambda1 lambda2) 2) 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]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (+ 0 (- lambda2)) into (- lambda2) * [misc]backup-simplify: Simplify (/ (- lambda2) 2) into (* -1/2 lambda2) * [misc]backup-simplify: Simplify (sin (* -1/2 lambda2)) into (sin (* -1/2 lambda2)) * [misc]backup-simplify: Simplify (cos (* -1/2 lambda2)) into (cos (* -1/2 lambda2)) * [misc]taylor: Taking taylor expansion of (sin (/ (- lambda1 lambda2) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (- lambda1 lambda2) 2) 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]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (+ 0 (- lambda2)) into (- lambda2) * [misc]backup-simplify: Simplify (/ (- lambda2) 2) into (* -1/2 lambda2) * [misc]backup-simplify: Simplify (sin (* -1/2 lambda2)) into (sin (* -1/2 lambda2)) * [misc]backup-simplify: Simplify (cos (* -1/2 lambda2)) into (cos (* -1/2 lambda2)) * [misc]backup-simplify: Simplify (* (sin (* -1/2 lambda2)) 1) into (sin (* -1/2 lambda2)) * [misc]backup-simplify: Simplify (* (cos (* -1/2 lambda2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (* -1/2 lambda2)) 0) into (sin (* -1/2 lambda2)) * [misc]taylor: Taking taylor expansion of (sin (* -1/2 lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of (* -1/2 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 lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 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 2) (+ (* (* -1/2 lambda2) (/ 0 2)))) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 lambda2)) 1/2) (* 0 0)) into (* 1/2 (cos (* -1/2 lambda2))) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (cos (* -1/2 lambda2)))) into (* 1/2 (cos (* -1/2 lambda2))) * [misc]taylor: Taking taylor expansion of (* 1/2 (cos (* -1/2 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 (* -1/2 lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of (* -1/2 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 lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow -1/2 1) 1))) into (- 1/2) * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8) * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 lambda2)) (- 1/8)) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (sin (* -1/2 lambda2)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* -1/2 lambda2) (/ 0 2)) (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 lambda2)) 0) (+ (* 0 1/2) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/8 (sin (* -1/2 lambda2)))) 0) into (- (* 1/8 (sin (* -1/2 lambda2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/8 (sin (* -1/2 lambda2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/8 (sin (* -1/2 lambda2))) in lambda2 * [misc]taylor: Taking taylor expansion of 1/8 in lambda2 * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (sin (* -1/2 lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of (* -1/2 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 lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 * [misc]backup-simplify: Simplify (* 1/8 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 (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 1) (* 0 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 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 lambda2)) 0) (+ (* 0 (- 1/8)) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* -1/2 lambda2) (/ 0 2)) (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/48) * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 lambda2)) (- 1/48)) (+ (* 0 0) (+ (* 0 1/2) (* 0 0)))) into (- (* 1/48 (cos (* -1/2 lambda2)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/48 (cos (* -1/2 lambda2))))) into (- (* 1/48 (cos (* -1/2 lambda2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/48 (cos (* -1/2 lambda2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/48 (cos (* -1/2 lambda2))) in lambda2 * [misc]taylor: Taking taylor expansion of 1/48 in lambda2 * [misc]backup-simplify: Simplify 1/48 into 1/48 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of (* -1/2 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 lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 * [misc]backup-simplify: Simplify (* 1/48 1) into 1/48 * [misc]backup-simplify: Simplify (- 1/48) into -1/48 * [misc]backup-simplify: Simplify -1/48 into -1/48 * [misc]backup-simplify: Simplify (+ (* -1/48 (pow (* 1 lambda1) 3)) (+ (* -1/2 (* lambda2 1)) (* 1/2 (* 1 lambda1)))) into (- (* 1/2 lambda1) (+ (* 1/48 (pow lambda1 3)) (* 1/2 lambda2))) * [misc]approximate: Taking taylor expansion of (sin (/ (- (/ 1 lambda1) (/ 1 lambda2)) 2)) in (lambda1 lambda2) around 0 * [misc]taylor: Taking taylor expansion of (sin (/ (- (/ 1 lambda1) (/ 1 lambda2)) 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 lambda1) (/ 1 lambda2)) 2) 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]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (sin (/ (- (/ 1 lambda1) (/ 1 lambda2)) 2)) into (sin (* 1/2 (- (/ 1 lambda1) (/ 1 lambda2)))) * [misc]taylor: Taking taylor expansion of (sin (/ (- (/ 1 lambda1) (/ 1 lambda2)) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 lambda1) (/ 1 lambda2)) 2) 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]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sin (/ (- (/ 1 lambda1) (/ 1 lambda2)) 2)) into (sin (* 1/2 (- (/ 1 lambda1) (/ 1 lambda2)))) * [misc]taylor: Taking taylor expansion of (sin (/ (- (/ 1 lambda1) (/ 1 lambda2)) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 lambda1) (/ 1 lambda2)) 2) 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]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sin (/ (- (/ 1 lambda1) (/ 1 lambda2)) 2)) into (sin (* 1/2 (- (/ 1 lambda1) (/ 1 lambda2)))) * [misc]taylor: Taking taylor expansion of (sin (* 1/2 (- (/ 1 lambda1) (/ 1 lambda2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/2 (- (/ 1 lambda1) (/ 1 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 (- (/ 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 (* 1/2 -1) into -1/2 * [misc]backup-simplify: Simplify (sin (* 1/2 (- (/ 1 lambda1) (/ 1 lambda2)))) into (sin (* 1/2 (- (/ 1 lambda1) (/ 1 lambda2)))) * [misc]backup-simplify: Simplify (sin (* 1/2 (- (/ 1 lambda1) (/ 1 lambda2)))) into (sin (* 1/2 (- (/ 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 (sin (* 1/2 (- (/ 1 lambda1) (/ 1 lambda2)))) into (sin (* 1/2 (- (/ 1 lambda1) (/ 1 lambda2)))) * [misc]approximate: Taking taylor expansion of (sin (/ (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) 2)) in (lambda1 lambda2) around 0 * [misc]taylor: Taking taylor expansion of (sin (/ (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) 2) 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]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sin (/ (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) 2)) into (sin (* 1/2 (- (/ 1 lambda2) (/ 1 lambda1)))) * [misc]taylor: Taking taylor expansion of (sin (/ (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) 2) 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]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (sin (/ (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) 2)) into (sin (* 1/2 (- (/ 1 lambda2) (/ 1 lambda1)))) * [misc]taylor: Taking taylor expansion of (sin (/ (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) 2) 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]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (sin (/ (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) 2)) into (sin (* 1/2 (- (/ 1 lambda2) (/ 1 lambda1)))) * [misc]taylor: Taking taylor expansion of (sin (* 1/2 (- (/ 1 lambda2) (/ 1 lambda1)))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/2 (- (/ 1 lambda2) (/ 1 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 (- (/ 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 (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (sin (* 1/2 (- (/ 1 lambda2) (/ 1 lambda1)))) into (sin (* 1/2 (- (/ 1 lambda2) (/ 1 lambda1)))) * [misc]backup-simplify: Simplify (sin (* 1/2 (- (/ 1 lambda2) (/ 1 lambda1)))) into (sin (* 1/2 (- (/ 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 (sin (* 1/2 (- (/ 1 lambda2) (/ 1 lambda1)))) into (sin (* 1/2 (- (/ 1 lambda2) (/ 1 lambda1)))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 2 1 1 2 2) * [misc]approximate: Taking taylor expansion of (sin (/ (- lambda1 lambda2) 2)) in (lambda1 lambda2) around 0 * [misc]taylor: Taking taylor expansion of (sin (/ (- lambda1 lambda2) 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ (- lambda1 lambda2) 2) 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]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ lambda1 0) into lambda1 * [misc]backup-simplify: Simplify (/ lambda1 2) into (* 1/2 lambda1) * [misc]backup-simplify: Simplify (sin (* 1/2 lambda1)) into (sin (* 1/2 lambda1)) * [misc]backup-simplify: Simplify (cos (* 1/2 lambda1)) into (cos (* 1/2 lambda1)) * [misc]taylor: Taking taylor expansion of (sin (/ (- lambda1 lambda2) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (- lambda1 lambda2) 2) 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]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (+ 0 (- lambda2)) into (- lambda2) * [misc]backup-simplify: Simplify (/ (- lambda2) 2) into (* -1/2 lambda2) * [misc]backup-simplify: Simplify (sin (* -1/2 lambda2)) into (sin (* -1/2 lambda2)) * [misc]backup-simplify: Simplify (cos (* -1/2 lambda2)) into (cos (* -1/2 lambda2)) * [misc]taylor: Taking taylor expansion of (sin (/ (- lambda1 lambda2) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (- lambda1 lambda2) 2) 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]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (+ 0 (- lambda2)) into (- lambda2) * [misc]backup-simplify: Simplify (/ (- lambda2) 2) into (* -1/2 lambda2) * [misc]backup-simplify: Simplify (sin (* -1/2 lambda2)) into (sin (* -1/2 lambda2)) * [misc]backup-simplify: Simplify (cos (* -1/2 lambda2)) into (cos (* -1/2 lambda2)) * [misc]backup-simplify: Simplify (* (sin (* -1/2 lambda2)) 1) into (sin (* -1/2 lambda2)) * [misc]backup-simplify: Simplify (* (cos (* -1/2 lambda2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (* -1/2 lambda2)) 0) into (sin (* -1/2 lambda2)) * [misc]taylor: Taking taylor expansion of (sin (* -1/2 lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of (* -1/2 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 lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 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 2) (+ (* (* -1/2 lambda2) (/ 0 2)))) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 lambda2)) 1/2) (* 0 0)) into (* 1/2 (cos (* -1/2 lambda2))) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (cos (* -1/2 lambda2)))) into (* 1/2 (cos (* -1/2 lambda2))) * [misc]taylor: Taking taylor expansion of (* 1/2 (cos (* -1/2 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 (* -1/2 lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of (* -1/2 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 lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow -1/2 1) 1))) into (- 1/2) * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8) * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 lambda2)) (- 1/8)) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (sin (* -1/2 lambda2)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* -1/2 lambda2) (/ 0 2)) (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 lambda2)) 0) (+ (* 0 1/2) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/8 (sin (* -1/2 lambda2)))) 0) into (- (* 1/8 (sin (* -1/2 lambda2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/8 (sin (* -1/2 lambda2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/8 (sin (* -1/2 lambda2))) in lambda2 * [misc]taylor: Taking taylor expansion of 1/8 in lambda2 * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (sin (* -1/2 lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of (* -1/2 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 lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 * [misc]backup-simplify: Simplify (* 1/8 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 (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 1) (* 0 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 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 lambda2)) 0) (+ (* 0 (- 1/8)) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* -1/2 lambda2) (/ 0 2)) (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/48) * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 lambda2)) (- 1/48)) (+ (* 0 0) (+ (* 0 1/2) (* 0 0)))) into (- (* 1/48 (cos (* -1/2 lambda2)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/48 (cos (* -1/2 lambda2))))) into (- (* 1/48 (cos (* -1/2 lambda2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/48 (cos (* -1/2 lambda2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/48 (cos (* -1/2 lambda2))) in lambda2 * [misc]taylor: Taking taylor expansion of 1/48 in lambda2 * [misc]backup-simplify: Simplify 1/48 into 1/48 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of (* -1/2 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 lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 * [misc]backup-simplify: Simplify (* 1/48 1) into 1/48 * [misc]backup-simplify: Simplify (- 1/48) into -1/48 * [misc]backup-simplify: Simplify -1/48 into -1/48 * [misc]backup-simplify: Simplify (+ (* -1/48 (pow (* 1 lambda1) 3)) (+ (* -1/2 (* lambda2 1)) (* 1/2 (* 1 lambda1)))) into (- (* 1/2 lambda1) (+ (* 1/48 (pow lambda1 3)) (* 1/2 lambda2))) * [misc]approximate: Taking taylor expansion of (sin (/ (- (/ 1 lambda1) (/ 1 lambda2)) 2)) in (lambda1 lambda2) around 0 * [misc]taylor: Taking taylor expansion of (sin (/ (- (/ 1 lambda1) (/ 1 lambda2)) 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 lambda1) (/ 1 lambda2)) 2) 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]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (sin (/ (- (/ 1 lambda1) (/ 1 lambda2)) 2)) into (sin (* 1/2 (- (/ 1 lambda1) (/ 1 lambda2)))) * [misc]taylor: Taking taylor expansion of (sin (/ (- (/ 1 lambda1) (/ 1 lambda2)) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 lambda1) (/ 1 lambda2)) 2) 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]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sin (/ (- (/ 1 lambda1) (/ 1 lambda2)) 2)) into (sin (* 1/2 (- (/ 1 lambda1) (/ 1 lambda2)))) * [misc]taylor: Taking taylor expansion of (sin (/ (- (/ 1 lambda1) (/ 1 lambda2)) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 lambda1) (/ 1 lambda2)) 2) 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]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sin (/ (- (/ 1 lambda1) (/ 1 lambda2)) 2)) into (sin (* 1/2 (- (/ 1 lambda1) (/ 1 lambda2)))) * [misc]taylor: Taking taylor expansion of (sin (* 1/2 (- (/ 1 lambda1) (/ 1 lambda2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/2 (- (/ 1 lambda1) (/ 1 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 (- (/ 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 (* 1/2 -1) into -1/2 * [misc]backup-simplify: Simplify (sin (* 1/2 (- (/ 1 lambda1) (/ 1 lambda2)))) into (sin (* 1/2 (- (/ 1 lambda1) (/ 1 lambda2)))) * [misc]backup-simplify: Simplify (sin (* 1/2 (- (/ 1 lambda1) (/ 1 lambda2)))) into (sin (* 1/2 (- (/ 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 (sin (* 1/2 (- (/ 1 lambda1) (/ 1 lambda2)))) into (sin (* 1/2 (- (/ 1 lambda1) (/ 1 lambda2)))) * [misc]approximate: Taking taylor expansion of (sin (/ (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) 2)) in (lambda1 lambda2) around 0 * [misc]taylor: Taking taylor expansion of (sin (/ (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) 2) 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]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sin (/ (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) 2)) into (sin (* 1/2 (- (/ 1 lambda2) (/ 1 lambda1)))) * [misc]taylor: Taking taylor expansion of (sin (/ (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) 2) 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]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (sin (/ (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) 2)) into (sin (* 1/2 (- (/ 1 lambda2) (/ 1 lambda1)))) * [misc]taylor: Taking taylor expansion of (sin (/ (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) 2) 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]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (sin (/ (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) 2)) into (sin (* 1/2 (- (/ 1 lambda2) (/ 1 lambda1)))) * [misc]taylor: Taking taylor expansion of (sin (* 1/2 (- (/ 1 lambda2) (/ 1 lambda1)))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/2 (- (/ 1 lambda2) (/ 1 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 (- (/ 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 (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (sin (* 1/2 (- (/ 1 lambda2) (/ 1 lambda1)))) into (sin (* 1/2 (- (/ 1 lambda2) (/ 1 lambda1)))) * [misc]backup-simplify: Simplify (sin (* 1/2 (- (/ 1 lambda2) (/ 1 lambda1)))) into (sin (* 1/2 (- (/ 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 (sin (* 1/2 (- (/ 1 lambda2) (/ 1 lambda1)))) into (sin (* 1/2 (- (/ 1 lambda2) (/ 1 lambda1)))) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 2 2 1 2 1 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 2 2 1 2 2 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 2 2 1 2 2 1 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 2 1 1 2 2) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (* R (* 2 (atan2 (sqrt (+ (pow (- (* (sin (/ phi1 2)) (cos (/ phi2 2))) (* (cos (/ phi1 2)) (sin (/ phi2 2)))) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) (sqrt (- 1 (+ (pow (- (* 1/2 phi1) (+ (* 1/48 (pow phi1 3)) (* 1/2 phi2))) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (128 enodes) * [exit]simplify: Simplified to (* (atan2 (sqrt (+ (* (sin (/ (- lambda1 lambda2) 2)) (* (sin (/ (- lambda1 lambda2) 2)) (* (cos phi1) (cos phi2)))) (* (- (* (cos (/ phi2 2)) (sin (/ phi1 2))) (* (sin (/ phi2 2)) (cos (/ phi1 2)))) (- (* (cos (/ phi2 2)) (sin (/ phi1 2))) (* (sin (/ phi2 2)) (cos (/ phi1 2))))))) (sqrt (- (- 1 (* (- (- (* 1/2 phi1) (* (* phi1 phi1) (* phi1 1/48))) (* phi2 1/2)) (- (- (* 1/2 phi1) (* (* phi1 phi1) (* phi1 1/48))) (* phi2 1/2)))) (* (sin (/ (- lambda1 lambda2) 2)) (* (sin (/ (- lambda1 lambda2) 2)) (* (cos phi1) (cos phi2))))))) (+ R R)) * * * * [misc]progress: [ 2 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (* R (* 2 (atan2 (sqrt (+ (pow (- (* (sin (/ phi1 2)) (cos (/ phi2 2))) (* (cos (/ phi1 2)) (sin (/ phi2 2)))) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) (sqrt (- 1 (+ (pow (sin (* 1/2 (- (/ 1 phi1) (/ 1 phi2)))) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (102 enodes) * [exit]simplify: Simplified to (* (atan2 (sqrt (+ (* (sin (/ (- lambda1 lambda2) 2)) (* (sin (/ (- lambda1 lambda2) 2)) (* (cos phi1) (cos phi2)))) (* (- (* (cos (/ phi2 2)) (sin (/ phi1 2))) (* (sin (/ phi2 2)) (cos (/ phi1 2)))) (- (* (cos (/ phi2 2)) (sin (/ phi1 2))) (* (sin (/ phi2 2)) (cos (/ phi1 2))))))) (sqrt (- (* (cos (* 1/2 (- (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (- (/ 1 phi1) (/ 1 phi2))))) (* (sin (/ (- lambda1 lambda2) 2)) (* (sin (/ (- lambda1 lambda2) 2)) (* (cos phi1) (cos phi2))))))) (+ R R)) * * * * [misc]progress: [ 3 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (* R (* 2 (atan2 (sqrt (+ (pow (- (* (sin (/ phi1 2)) (cos (/ phi2 2))) (* (cos (/ phi1 2)) (sin (/ phi2 2)))) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) (sqrt (- 1 (+ (pow (sin (* 1/2 (- (/ 1 phi2) (/ 1 phi1)))) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (102 enodes) * [exit]simplify: Simplified to (* (atan2 (sqrt (+ (* (sin (/ (- lambda1 lambda2) 2)) (* (sin (/ (- lambda1 lambda2) 2)) (* (cos phi1) (cos phi2)))) (* (- (* (cos (/ phi2 2)) (sin (/ phi1 2))) (* (sin (/ phi2 2)) (cos (/ phi1 2)))) (- (* (cos (/ phi2 2)) (sin (/ phi1 2))) (* (sin (/ phi2 2)) (cos (/ phi1 2))))))) (sqrt (- (* (cos (* 1/2 (- (/ 1 phi2) (/ 1 phi1)))) (cos (* 1/2 (- (/ 1 phi2) (/ 1 phi1))))) (* (sin (/ (- lambda1 lambda2) 2)) (* (sin (/ (- lambda1 lambda2) 2)) (* (cos phi1) (cos phi2))))))) (+ R R)) * * * * [misc]progress: [ 4 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (* R (* 2 (atan2 (sqrt (+ (pow (- (* (sin (/ phi1 2)) (cos (/ phi2 2))) (* (cos (/ phi1 2)) (sin (/ phi2 2)))) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (- (* 1/2 lambda1) (+ (* 1/48 (pow lambda1 3)) (* 1/2 lambda2)))))))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (81 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * * [misc]simplify: iters left: 2 (155 enodes) * * [misc]simplify: iters left: 1 (172 enodes) * [exit]simplify: Simplified to (* (+ R R) (atan2 (sqrt (+ (* (* (cos phi2) (sin (/ (- lambda1 lambda2) 2))) (* (cos phi1) (sin (/ (- lambda1 lambda2) 2)))) (* (- (* (cos (/ phi2 2)) (sin (/ phi1 2))) (* (sin (/ phi2 2)) (cos (/ phi1 2)))) (- (* (cos (/ phi2 2)) (sin (/ phi1 2))) (* (sin (/ phi2 2)) (cos (/ phi1 2))))))) (sqrt (- (* (cos (/ (- phi1 phi2) 2)) (cos (/ (- phi1 phi2) 2))) (* (* (sin (/ (- lambda1 lambda2) 2)) (* (cos phi1) (cos phi2))) (- (- (* 1/2 lambda1) (* (* lambda1 1/48) (* lambda1 lambda1))) (* lambda2 1/2))))))) * * * * [misc]progress: [ 5 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (* R (* 2 (atan2 (sqrt (+ (pow (- (* (sin (/ phi1 2)) (cos (/ phi2 2))) (* (cos (/ phi1 2)) (sin (/ phi2 2)))) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (* 1/2 (- (/ 1 lambda1) (/ 1 lambda2))))))))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (139 enodes) * [exit]simplify: Simplified to (* (atan2 (sqrt (+ (* (sin (/ (- lambda1 lambda2) 2)) (* (sin (/ (- lambda1 lambda2) 2)) (* (cos phi1) (cos phi2)))) (* (- (* (cos (/ phi2 2)) (sin (/ phi1 2))) (* (sin (/ phi2 2)) (cos (/ phi1 2)))) (- (* (cos (/ phi2 2)) (sin (/ phi1 2))) (* (sin (/ phi2 2)) (cos (/ phi1 2))))))) (sqrt (- (* (cos (/ (- phi1 phi2) 2)) (cos (/ (- phi1 phi2) 2))) (* (* (sin (/ (- lambda1 lambda2) 2)) (* (cos phi1) (cos phi2))) (sin (* 1/2 (- (/ 1 lambda1) (/ 1 lambda2)))))))) (+ R R)) * * * * [misc]progress: [ 6 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (* R (* 2 (atan2 (sqrt (+ (pow (- (* (sin (/ phi1 2)) (cos (/ phi2 2))) (* (cos (/ phi1 2)) (sin (/ phi2 2)))) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (* 1/2 (- (/ 1 lambda2) (/ 1 lambda1))))))))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (139 enodes) * [exit]simplify: Simplified to (* (atan2 (sqrt (+ (* (sin (/ (- lambda1 lambda2) 2)) (* (sin (/ (- lambda1 lambda2) 2)) (* (cos phi1) (cos phi2)))) (* (- (* (cos (/ phi2 2)) (sin (/ phi1 2))) (* (sin (/ phi2 2)) (cos (/ phi1 2)))) (- (* (cos (/ phi2 2)) (sin (/ phi1 2))) (* (sin (/ phi2 2)) (cos (/ phi1 2))))))) (sqrt (- (* (cos (/ (- phi1 phi2) 2)) (cos (/ (- phi1 phi2) 2))) (* (* (sin (/ (- lambda1 lambda2) 2)) (* (cos phi1) (cos phi2))) (sin (* 1/2 (- (/ 1 lambda2) (/ 1 lambda1)))))))) (+ R R)) * * * * [misc]progress: [ 7 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (* R (* 2 (atan2 (sqrt (+ (pow (- (* (sin (/ phi1 2)) (cos (/ phi2 2))) (* (cos (/ phi1 2)) (sin (/ phi2 2)))) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (- (* 1/2 lambda1) (+ (* 1/48 (pow lambda1 3)) (* 1/2 lambda2)))) (sin (/ (- lambda1 lambda2) 2))))))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (83 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (133 enodes) * * [misc]simplify: iters left: 2 (163 enodes) * * [misc]simplify: iters left: 1 (176 enodes) * [exit]simplify: Simplified to (* (atan2 (sqrt (+ (* (sin (/ (- lambda1 lambda2) 2)) (* (sin (/ (- lambda1 lambda2) 2)) (* (cos phi1) (cos phi2)))) (* (- (* (cos (/ phi2 2)) (sin (/ phi1 2))) (* (sin (/ phi2 2)) (cos (/ phi1 2)))) (- (* (cos (/ phi2 2)) (sin (/ phi1 2))) (* (sin (/ phi2 2)) (cos (/ phi1 2))))))) (sqrt (- (* (cos (/ (- phi1 phi2) 2)) (cos (/ (- phi1 phi2) 2))) (* (* (sin (/ (- lambda1 lambda2) 2)) (* (cos phi1) (cos phi2))) (- (* 1/2 lambda1) (+ (* lambda2 1/2) (* (* lambda1 lambda1) (* lambda1 1/48)))))))) (+ R R)) * * * * [misc]progress: [ 8 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (* R (* 2 (atan2 (sqrt (+ (pow (- (* (sin (/ phi1 2)) (cos (/ phi2 2))) (* (cos (/ phi1 2)) (sin (/ phi2 2)))) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (* 1/2 (- (/ 1 lambda1) (/ 1 lambda2))))) (sin (/ (- lambda1 lambda2) 2))))))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (137 enodes) * * [misc]simplify: iters left: 1 (148 enodes) * [exit]simplify: Simplified to (* (+ R R) (atan2 (sqrt (+ (* (sin (/ (- lambda1 lambda2) 2)) (* (sin (/ (- lambda1 lambda2) 2)) (* (cos phi1) (cos phi2)))) (* (- (* (cos (/ phi2 2)) (sin (/ phi1 2))) (* (sin (/ phi2 2)) (cos (/ phi1 2)))) (- (* (cos (/ phi2 2)) (sin (/ phi1 2))) (* (sin (/ phi2 2)) (cos (/ phi1 2))))))) (sqrt (- (* (cos (/ (- phi1 phi2) 2)) (cos (/ (- phi1 phi2) 2))) (* (* (sin (/ (- lambda1 lambda2) 2)) (* (cos phi1) (cos phi2))) (sin (* 1/2 (- (/ 1 lambda1) (/ 1 lambda2))))))))) * * * * [misc]progress: [ 9 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (* R (* 2 (atan2 (sqrt (+ (pow (- (* (sin (/ phi1 2)) (cos (/ phi2 2))) (* (cos (/ phi1 2)) (sin (/ phi2 2)))) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (* 1/2 (- (/ 1 lambda2) (/ 1 lambda1))))) (sin (/ (- lambda1 lambda2) 2))))))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (137 enodes) * * [misc]simplify: iters left: 1 (148 enodes) * [exit]simplify: Simplified to (* (+ R R) (atan2 (sqrt (+ (* (sin (/ (- lambda1 lambda2) 2)) (* (sin (/ (- lambda1 lambda2) 2)) (* (cos phi1) (cos phi2)))) (* (- (* (cos (/ phi2 2)) (sin (/ phi1 2))) (* (sin (/ phi2 2)) (cos (/ phi1 2)))) (- (* (cos (/ phi2 2)) (sin (/ phi1 2))) (* (sin (/ phi2 2)) (cos (/ phi1 2))))))) (sqrt (- (* (cos (/ (- phi1 phi2) 2)) (cos (/ (- phi1 phi2) 2))) (* (* (sin (/ (- lambda1 lambda2) 2)) (* (cos phi1) (cos phi2))) (sin (* 1/2 (- (/ 1 lambda2) (/ 1 lambda1))))))))) * * * * [misc]progress: [ 10 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (* R (* 2 (atan2 (sqrt (+ (pow (- (* (sin (/ phi1 2)) (cos (/ phi2 2))) (* (cos (/ phi1 2)) (sin (/ phi2 2)))) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (- (* 1/2 lambda1) (+ (* 1/48 (pow lambda1 3)) (* 1/2 lambda2)))))) (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (81 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * * [misc]simplify: iters left: 2 (155 enodes) * * [misc]simplify: iters left: 1 (167 enodes) * [exit]simplify: Simplified to (* (+ R R) (atan2 (sqrt (+ (* (- (* (cos (/ phi2 2)) (sin (/ phi1 2))) (* (sin (/ phi2 2)) (cos (/ phi1 2)))) (- (* (cos (/ phi2 2)) (sin (/ phi1 2))) (* (sin (/ phi2 2)) (cos (/ phi1 2))))) (* (* (sin (/ (- lambda1 lambda2) 2)) (* (cos phi1) (cos phi2))) (- (- (* 1/2 lambda1) (* (* 1/48 lambda1) (* lambda1 lambda1))) (* 1/2 lambda2))))) (sqrt (- (* (cos (/ (- phi1 phi2) 2)) (cos (/ (- phi1 phi2) 2))) (* (* (cos phi2) (sin (/ (- lambda1 lambda2) 2))) (* (cos phi1) (sin (/ (- lambda1 lambda2) 2)))))))) * * * * [misc]progress: [ 11 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (* R (* 2 (atan2 (sqrt (+ (pow (- (* (sin (/ phi1 2)) (cos (/ phi2 2))) (* (cos (/ phi1 2)) (sin (/ phi2 2)))) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (* 1/2 (- (/ 1 lambda1) (/ 1 lambda2))))))) (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (133 enodes) * * [misc]simplify: iters left: 1 (145 enodes) * [exit]simplify: Simplified to (* (atan2 (sqrt (+ (* (* (sin (/ (- lambda1 lambda2) 2)) (* (cos phi1) (cos phi2))) (sin (* 1/2 (- (/ 1 lambda1) (/ 1 lambda2))))) (* (- (* (cos (/ phi2 2)) (sin (/ phi1 2))) (* (sin (/ phi2 2)) (cos (/ phi1 2)))) (- (* (cos (/ phi2 2)) (sin (/ phi1 2))) (* (sin (/ phi2 2)) (cos (/ phi1 2))))))) (sqrt (- (* (cos (/ (- phi1 phi2) 2)) (cos (/ (- phi1 phi2) 2))) (* (sin (/ (- lambda1 lambda2) 2)) (* (sin (/ (- lambda1 lambda2) 2)) (* (cos phi1) (cos phi2))))))) (+ R R)) * * * * [misc]progress: [ 12 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (* R (* 2 (atan2 (sqrt (+ (pow (- (* (sin (/ phi1 2)) (cos (/ phi2 2))) (* (cos (/ phi1 2)) (sin (/ phi2 2)))) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (* 1/2 (- (/ 1 lambda2) (/ 1 lambda1))))))) (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (133 enodes) * * [misc]simplify: iters left: 1 (145 enodes) * [exit]simplify: Simplified to (* (atan2 (sqrt (+ (* (* (sin (/ (- lambda1 lambda2) 2)) (* (cos phi1) (cos phi2))) (sin (* 1/2 (- (/ 1 lambda2) (/ 1 lambda1))))) (* (- (* (cos (/ phi2 2)) (sin (/ phi1 2))) (* (sin (/ phi2 2)) (cos (/ phi1 2)))) (- (* (cos (/ phi2 2)) (sin (/ phi1 2))) (* (sin (/ phi2 2)) (cos (/ phi1 2))))))) (sqrt (- (* (cos (/ (- phi1 phi2) 2)) (cos (/ (- phi1 phi2) 2))) (* (sin (/ (- lambda1 lambda2) 2)) (* (sin (/ (- lambda1 lambda2) 2)) (* (cos phi1) (cos phi2))))))) (+ R R)) * * * * [misc]progress: [ 13 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin (/ phi1 2)) (cos (/ phi2 2))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (* (sin (/ phi1 2)) (cos (/ phi2 2))) * [exit]simplify: Simplified to (* (sin (/ phi1 2)) (cos (/ phi2 2))) * [enter]simplify: Simplifying (* (cos (/ phi1 2)) (sin (/ phi2 2))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (* (cos (/ phi1 2)) (sin (/ phi2 2))) * [exit]simplify: Simplified to (* (cos (/ phi1 2)) (sin (/ phi2 2))) * * * * [misc]progress: [ 14 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sin (/ (- phi1 phi2) 2))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (log (sin (/ (- phi1 phi2) 2))) * [exit]simplify: Simplified to (log (sin (/ (- phi1 phi2) 2))) * * * * [misc]progress: [ 16 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sin (/ (- phi1 phi2) 2))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (exp (sin (/ (- phi1 phi2) 2))) * [exit]simplify: Simplified to (exp (sin (/ (- phi1 phi2) 2))) * * * * [misc]progress: [ 17 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sin (/ (- phi1 phi2) 2))) (cbrt (sin (/ (- phi1 phi2) 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* (cbrt (sin (/ (- phi1 phi2) 2))) (cbrt (sin (/ (- phi1 phi2) 2)))) * [exit]simplify: Simplified to (* (cbrt (sin (/ (- phi1 phi2) 2))) (cbrt (sin (/ (- phi1 phi2) 2)))) * [enter]simplify: Simplifying (cbrt (sin (/ (- phi1 phi2) 2))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (cbrt (sin (/ (- phi1 phi2) 2))) * [exit]simplify: Simplified to (cbrt (sin (/ (- phi1 phi2) 2))) * * * * [misc]progress: [ 18 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sin (/ (- phi1 phi2) 2)) (sin (/ (- phi1 phi2) 2))) (sin (/ (- phi1 phi2) 2))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (pow (sin (/ (- phi1 phi2) 2)) 3) * [exit]simplify: Simplified to (pow (sin (/ (- phi1 phi2) 2)) 3) * * * * [misc]progress: [ 19 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sin (/ (- phi1 phi2) 2))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (sin (/ (- phi1 phi2) 2))) * [exit]simplify: Simplified to (sqrt (sin (/ (- phi1 phi2) 2))) * [enter]simplify: Simplifying (sqrt (sin (/ (- phi1 phi2) 2))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (sin (/ (- phi1 phi2) 2))) * [exit]simplify: Simplified to (sqrt (sin (/ (- phi1 phi2) 2))) * * * * [misc]progress: [ 20 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin (/ lambda1 2)) (cos (/ lambda2 2))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (* (sin (/ lambda1 2)) (cos (/ lambda2 2))) * [exit]simplify: Simplified to (* (sin (/ lambda1 2)) (cos (/ lambda2 2))) * [enter]simplify: Simplifying (* (cos (/ lambda1 2)) (sin (/ lambda2 2))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (* (cos (/ lambda1 2)) (sin (/ lambda2 2))) * [exit]simplify: Simplified to (* (cos (/ lambda1 2)) (sin (/ lambda2 2))) * * * * [misc]progress: [ 22 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sin (/ (- lambda1 lambda2) 2))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (log (sin (/ (- lambda1 lambda2) 2))) * [exit]simplify: Simplified to (log (sin (/ (- lambda1 lambda2) 2))) * * * * [misc]progress: [ 24 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sin (/ (- lambda1 lambda2) 2))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (exp (sin (/ (- lambda1 lambda2) 2))) * [exit]simplify: Simplified to (exp (sin (/ (- lambda1 lambda2) 2))) * * * * [misc]progress: [ 25 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sin (/ (- lambda1 lambda2) 2))) (cbrt (sin (/ (- lambda1 lambda2) 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* (cbrt (sin (/ (- lambda1 lambda2) 2))) (cbrt (sin (/ (- lambda1 lambda2) 2)))) * [exit]simplify: Simplified to (* (cbrt (sin (/ (- lambda1 lambda2) 2))) (cbrt (sin (/ (- lambda1 lambda2) 2)))) * [enter]simplify: Simplifying (cbrt (sin (/ (- lambda1 lambda2) 2))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (cbrt (sin (/ (- lambda1 lambda2) 2))) * [exit]simplify: Simplified to (cbrt (sin (/ (- lambda1 lambda2) 2))) * * * * [misc]progress: [ 26 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sin (/ (- lambda1 lambda2) 2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (pow (sin (/ (- lambda1 lambda2) 2)) 3) * [exit]simplify: Simplified to (pow (sin (/ (- lambda1 lambda2) 2)) 3) * * * * [misc]progress: [ 27 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sin (/ (- lambda1 lambda2) 2))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (sin (/ (- lambda1 lambda2) 2))) * [exit]simplify: Simplified to (sqrt (sin (/ (- lambda1 lambda2) 2))) * [enter]simplify: Simplifying (sqrt (sin (/ (- lambda1 lambda2) 2))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (sin (/ (- lambda1 lambda2) 2))) * [exit]simplify: Simplified to (sqrt (sin (/ (- lambda1 lambda2) 2))) * * * * [misc]progress: [ 28 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin (/ lambda1 2)) (cos (/ lambda2 2))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (* (sin (/ lambda1 2)) (cos (/ lambda2 2))) * [exit]simplify: Simplified to (* (sin (/ lambda1 2)) (cos (/ lambda2 2))) * [enter]simplify: Simplifying (* (cos (/ lambda1 2)) (sin (/ lambda2 2))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (* (cos (/ lambda1 2)) (sin (/ lambda2 2))) * [exit]simplify: Simplified to (* (cos (/ lambda1 2)) (sin (/ lambda2 2))) * * * * [misc]progress: [ 30 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sin (/ (- lambda1 lambda2) 2))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (log (sin (/ (- lambda1 lambda2) 2))) * [exit]simplify: Simplified to (log (sin (/ (- lambda1 lambda2) 2))) * * * * [misc]progress: [ 32 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sin (/ (- lambda1 lambda2) 2))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (exp (sin (/ (- lambda1 lambda2) 2))) * [exit]simplify: Simplified to (exp (sin (/ (- lambda1 lambda2) 2))) * * * * [misc]progress: [ 33 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sin (/ (- lambda1 lambda2) 2))) (cbrt (sin (/ (- lambda1 lambda2) 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* (cbrt (sin (/ (- lambda1 lambda2) 2))) (cbrt (sin (/ (- lambda1 lambda2) 2)))) * [exit]simplify: Simplified to (* (cbrt (sin (/ (- lambda1 lambda2) 2))) (cbrt (sin (/ (- lambda1 lambda2) 2)))) * [enter]simplify: Simplifying (cbrt (sin (/ (- lambda1 lambda2) 2))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (cbrt (sin (/ (- lambda1 lambda2) 2))) * [exit]simplify: Simplified to (cbrt (sin (/ (- lambda1 lambda2) 2))) * * * * [misc]progress: [ 34 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sin (/ (- lambda1 lambda2) 2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (pow (sin (/ (- lambda1 lambda2) 2)) 3) * [exit]simplify: Simplified to (pow (sin (/ (- lambda1 lambda2) 2)) 3) * * * * [misc]progress: [ 35 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sin (/ (- lambda1 lambda2) 2))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (sin (/ (- lambda1 lambda2) 2))) * [exit]simplify: Simplified to (sqrt (sin (/ (- lambda1 lambda2) 2))) * [enter]simplify: Simplifying (sqrt (sin (/ (- lambda1 lambda2) 2))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (sin (/ (- lambda1 lambda2) 2))) * [exit]simplify: Simplified to (sqrt (sin (/ (- lambda1 lambda2) 2))) * * * * [misc]progress: [ 36 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin (/ lambda1 2)) (cos (/ lambda2 2))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (* (sin (/ lambda1 2)) (cos (/ lambda2 2))) * [exit]simplify: Simplified to (* (sin (/ lambda1 2)) (cos (/ lambda2 2))) * [enter]simplify: Simplifying (* (cos (/ lambda1 2)) (sin (/ lambda2 2))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (* (cos (/ lambda1 2)) (sin (/ lambda2 2))) * [exit]simplify: Simplified to (* (cos (/ lambda1 2)) (sin (/ lambda2 2))) * * * * [misc]progress: [ 38 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sin (/ (- lambda1 lambda2) 2))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (log (sin (/ (- lambda1 lambda2) 2))) * [exit]simplify: Simplified to (log (sin (/ (- lambda1 lambda2) 2))) * * * * [misc]progress: [ 40 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sin (/ (- lambda1 lambda2) 2))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (exp (sin (/ (- lambda1 lambda2) 2))) * [exit]simplify: Simplified to (exp (sin (/ (- lambda1 lambda2) 2))) * * * * [misc]progress: [ 41 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sin (/ (- lambda1 lambda2) 2))) (cbrt (sin (/ (- lambda1 lambda2) 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* (cbrt (sin (/ (- lambda1 lambda2) 2))) (cbrt (sin (/ (- lambda1 lambda2) 2)))) * [exit]simplify: Simplified to (* (cbrt (sin (/ (- lambda1 lambda2) 2))) (cbrt (sin (/ (- lambda1 lambda2) 2)))) * [enter]simplify: Simplifying (cbrt (sin (/ (- lambda1 lambda2) 2))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (cbrt (sin (/ (- lambda1 lambda2) 2))) * [exit]simplify: Simplified to (cbrt (sin (/ (- lambda1 lambda2) 2))) * * * * [misc]progress: [ 42 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sin (/ (- lambda1 lambda2) 2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (pow (sin (/ (- lambda1 lambda2) 2)) 3) * [exit]simplify: Simplified to (pow (sin (/ (- lambda1 lambda2) 2)) 3) * * * * [misc]progress: [ 43 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sin (/ (- lambda1 lambda2) 2))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (sin (/ (- lambda1 lambda2) 2))) * [exit]simplify: Simplified to (sqrt (sin (/ (- lambda1 lambda2) 2))) * [enter]simplify: Simplifying (sqrt (sin (/ (- lambda1 lambda2) 2))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (sin (/ (- lambda1 lambda2) 2))) * [exit]simplify: Simplified to (sqrt (sin (/ (- lambda1 lambda2) 2))) * * * * [misc]progress: [ 44 / 44 ] simplifiying candidate # * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 3 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 2 2 1 2 2 2) * [misc]approximate: Taking taylor expansion of (sin (/ (- lambda1 lambda2) 2)) in (lambda1 lambda2) around 0 * [misc]taylor: Taking taylor expansion of (sin (/ (- lambda1 lambda2) 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ (- lambda1 lambda2) 2) 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]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ lambda1 0) into lambda1 * [misc]backup-simplify: Simplify (/ lambda1 2) into (* 1/2 lambda1) * [misc]backup-simplify: Simplify (sin (* 1/2 lambda1)) into (sin (* 1/2 lambda1)) * [misc]backup-simplify: Simplify (cos (* 1/2 lambda1)) into (cos (* 1/2 lambda1)) * [misc]taylor: Taking taylor expansion of (sin (/ (- lambda1 lambda2) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (- lambda1 lambda2) 2) 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]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (+ 0 (- lambda2)) into (- lambda2) * [misc]backup-simplify: Simplify (/ (- lambda2) 2) into (* -1/2 lambda2) * [misc]backup-simplify: Simplify (sin (* -1/2 lambda2)) into (sin (* -1/2 lambda2)) * [misc]backup-simplify: Simplify (cos (* -1/2 lambda2)) into (cos (* -1/2 lambda2)) * [misc]taylor: Taking taylor expansion of (sin (/ (- lambda1 lambda2) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (- lambda1 lambda2) 2) 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]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (+ 0 (- lambda2)) into (- lambda2) * [misc]backup-simplify: Simplify (/ (- lambda2) 2) into (* -1/2 lambda2) * [misc]backup-simplify: Simplify (sin (* -1/2 lambda2)) into (sin (* -1/2 lambda2)) * [misc]backup-simplify: Simplify (cos (* -1/2 lambda2)) into (cos (* -1/2 lambda2)) * [misc]backup-simplify: Simplify (* (sin (* -1/2 lambda2)) 1) into (sin (* -1/2 lambda2)) * [misc]backup-simplify: Simplify (* (cos (* -1/2 lambda2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (* -1/2 lambda2)) 0) into (sin (* -1/2 lambda2)) * [misc]taylor: Taking taylor expansion of (sin (* -1/2 lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of (* -1/2 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 lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 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 2) (+ (* (* -1/2 lambda2) (/ 0 2)))) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 lambda2)) 1/2) (* 0 0)) into (* 1/2 (cos (* -1/2 lambda2))) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (cos (* -1/2 lambda2)))) into (* 1/2 (cos (* -1/2 lambda2))) * [misc]taylor: Taking taylor expansion of (* 1/2 (cos (* -1/2 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 (* -1/2 lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of (* -1/2 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 lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow -1/2 1) 1))) into (- 1/2) * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8) * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 lambda2)) (- 1/8)) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (sin (* -1/2 lambda2)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* -1/2 lambda2) (/ 0 2)) (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 lambda2)) 0) (+ (* 0 1/2) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/8 (sin (* -1/2 lambda2)))) 0) into (- (* 1/8 (sin (* -1/2 lambda2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/8 (sin (* -1/2 lambda2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/8 (sin (* -1/2 lambda2))) in lambda2 * [misc]taylor: Taking taylor expansion of 1/8 in lambda2 * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (sin (* -1/2 lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of (* -1/2 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 lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 * [misc]backup-simplify: Simplify (* 1/8 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 (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 1) (* 0 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 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 lambda2)) 0) (+ (* 0 (- 1/8)) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* -1/2 lambda2) (/ 0 2)) (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/48) * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 lambda2)) (- 1/48)) (+ (* 0 0) (+ (* 0 1/2) (* 0 0)))) into (- (* 1/48 (cos (* -1/2 lambda2)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/48 (cos (* -1/2 lambda2))))) into (- (* 1/48 (cos (* -1/2 lambda2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/48 (cos (* -1/2 lambda2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/48 (cos (* -1/2 lambda2))) in lambda2 * [misc]taylor: Taking taylor expansion of 1/48 in lambda2 * [misc]backup-simplify: Simplify 1/48 into 1/48 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of (* -1/2 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 lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 * [misc]backup-simplify: Simplify (* 1/48 1) into 1/48 * [misc]backup-simplify: Simplify (- 1/48) into -1/48 * [misc]backup-simplify: Simplify -1/48 into -1/48 * [misc]backup-simplify: Simplify (+ (* -1/48 (pow (* 1 lambda1) 3)) (+ (* -1/2 (* lambda2 1)) (* 1/2 (* 1 lambda1)))) into (- (* 1/2 lambda1) (+ (* 1/48 (pow lambda1 3)) (* 1/2 lambda2))) * [misc]approximate: Taking taylor expansion of (sin (/ (- (/ 1 lambda1) (/ 1 lambda2)) 2)) in (lambda1 lambda2) around 0 * [misc]taylor: Taking taylor expansion of (sin (/ (- (/ 1 lambda1) (/ 1 lambda2)) 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 lambda1) (/ 1 lambda2)) 2) 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]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (sin (/ (- (/ 1 lambda1) (/ 1 lambda2)) 2)) into (sin (* 1/2 (- (/ 1 lambda1) (/ 1 lambda2)))) * [misc]taylor: Taking taylor expansion of (sin (/ (- (/ 1 lambda1) (/ 1 lambda2)) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 lambda1) (/ 1 lambda2)) 2) 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]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sin (/ (- (/ 1 lambda1) (/ 1 lambda2)) 2)) into (sin (* 1/2 (- (/ 1 lambda1) (/ 1 lambda2)))) * [misc]taylor: Taking taylor expansion of (sin (/ (- (/ 1 lambda1) (/ 1 lambda2)) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 lambda1) (/ 1 lambda2)) 2) 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]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sin (/ (- (/ 1 lambda1) (/ 1 lambda2)) 2)) into (sin (* 1/2 (- (/ 1 lambda1) (/ 1 lambda2)))) * [misc]taylor: Taking taylor expansion of (sin (* 1/2 (- (/ 1 lambda1) (/ 1 lambda2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/2 (- (/ 1 lambda1) (/ 1 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 (- (/ 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 (* 1/2 -1) into -1/2 * [misc]backup-simplify: Simplify (sin (* 1/2 (- (/ 1 lambda1) (/ 1 lambda2)))) into (sin (* 1/2 (- (/ 1 lambda1) (/ 1 lambda2)))) * [misc]backup-simplify: Simplify (sin (* 1/2 (- (/ 1 lambda1) (/ 1 lambda2)))) into (sin (* 1/2 (- (/ 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 (sin (* 1/2 (- (/ 1 lambda1) (/ 1 lambda2)))) into (sin (* 1/2 (- (/ 1 lambda1) (/ 1 lambda2)))) * [misc]approximate: Taking taylor expansion of (sin (/ (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) 2)) in (lambda1 lambda2) around 0 * [misc]taylor: Taking taylor expansion of (sin (/ (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) 2) 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]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sin (/ (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) 2)) into (sin (* 1/2 (- (/ 1 lambda2) (/ 1 lambda1)))) * [misc]taylor: Taking taylor expansion of (sin (/ (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) 2) 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]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (sin (/ (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) 2)) into (sin (* 1/2 (- (/ 1 lambda2) (/ 1 lambda1)))) * [misc]taylor: Taking taylor expansion of (sin (/ (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) 2) 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]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (sin (/ (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) 2)) into (sin (* 1/2 (- (/ 1 lambda2) (/ 1 lambda1)))) * [misc]taylor: Taking taylor expansion of (sin (* 1/2 (- (/ 1 lambda2) (/ 1 lambda1)))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/2 (- (/ 1 lambda2) (/ 1 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 (- (/ 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 (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (sin (* 1/2 (- (/ 1 lambda2) (/ 1 lambda1)))) into (sin (* 1/2 (- (/ 1 lambda2) (/ 1 lambda1)))) * [misc]backup-simplify: Simplify (sin (* 1/2 (- (/ 1 lambda2) (/ 1 lambda1)))) into (sin (* 1/2 (- (/ 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 (sin (* 1/2 (- (/ 1 lambda2) (/ 1 lambda1)))) into (sin (* 1/2 (- (/ 1 lambda2) (/ 1 lambda1)))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 2 2 1 2 2 1 2) * [misc]approximate: Taking taylor expansion of (sin (/ (- lambda1 lambda2) 2)) in (lambda1 lambda2) around 0 * [misc]taylor: Taking taylor expansion of (sin (/ (- lambda1 lambda2) 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ (- lambda1 lambda2) 2) 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]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ lambda1 0) into lambda1 * [misc]backup-simplify: Simplify (/ lambda1 2) into (* 1/2 lambda1) * [misc]backup-simplify: Simplify (sin (* 1/2 lambda1)) into (sin (* 1/2 lambda1)) * [misc]backup-simplify: Simplify (cos (* 1/2 lambda1)) into (cos (* 1/2 lambda1)) * [misc]taylor: Taking taylor expansion of (sin (/ (- lambda1 lambda2) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (- lambda1 lambda2) 2) 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]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (+ 0 (- lambda2)) into (- lambda2) * [misc]backup-simplify: Simplify (/ (- lambda2) 2) into (* -1/2 lambda2) * [misc]backup-simplify: Simplify (sin (* -1/2 lambda2)) into (sin (* -1/2 lambda2)) * [misc]backup-simplify: Simplify (cos (* -1/2 lambda2)) into (cos (* -1/2 lambda2)) * [misc]taylor: Taking taylor expansion of (sin (/ (- lambda1 lambda2) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (- lambda1 lambda2) 2) 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]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (+ 0 (- lambda2)) into (- lambda2) * [misc]backup-simplify: Simplify (/ (- lambda2) 2) into (* -1/2 lambda2) * [misc]backup-simplify: Simplify (sin (* -1/2 lambda2)) into (sin (* -1/2 lambda2)) * [misc]backup-simplify: Simplify (cos (* -1/2 lambda2)) into (cos (* -1/2 lambda2)) * [misc]backup-simplify: Simplify (* (sin (* -1/2 lambda2)) 1) into (sin (* -1/2 lambda2)) * [misc]backup-simplify: Simplify (* (cos (* -1/2 lambda2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (* -1/2 lambda2)) 0) into (sin (* -1/2 lambda2)) * [misc]taylor: Taking taylor expansion of (sin (* -1/2 lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of (* -1/2 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 lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 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 2) (+ (* (* -1/2 lambda2) (/ 0 2)))) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 lambda2)) 1/2) (* 0 0)) into (* 1/2 (cos (* -1/2 lambda2))) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (cos (* -1/2 lambda2)))) into (* 1/2 (cos (* -1/2 lambda2))) * [misc]taylor: Taking taylor expansion of (* 1/2 (cos (* -1/2 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 (* -1/2 lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of (* -1/2 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 lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow -1/2 1) 1))) into (- 1/2) * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8) * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 lambda2)) (- 1/8)) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (sin (* -1/2 lambda2)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* -1/2 lambda2) (/ 0 2)) (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 lambda2)) 0) (+ (* 0 1/2) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/8 (sin (* -1/2 lambda2)))) 0) into (- (* 1/8 (sin (* -1/2 lambda2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/8 (sin (* -1/2 lambda2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/8 (sin (* -1/2 lambda2))) in lambda2 * [misc]taylor: Taking taylor expansion of 1/8 in lambda2 * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (sin (* -1/2 lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of (* -1/2 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 lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 * [misc]backup-simplify: Simplify (* 1/8 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 (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 1) (* 0 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 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 lambda2)) 0) (+ (* 0 (- 1/8)) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* -1/2 lambda2) (/ 0 2)) (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/48) * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 lambda2)) (- 1/48)) (+ (* 0 0) (+ (* 0 1/2) (* 0 0)))) into (- (* 1/48 (cos (* -1/2 lambda2)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/48 (cos (* -1/2 lambda2))))) into (- (* 1/48 (cos (* -1/2 lambda2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/48 (cos (* -1/2 lambda2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/48 (cos (* -1/2 lambda2))) in lambda2 * [misc]taylor: Taking taylor expansion of 1/48 in lambda2 * [misc]backup-simplify: Simplify 1/48 into 1/48 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of (* -1/2 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 lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 * [misc]backup-simplify: Simplify (* 1/48 1) into 1/48 * [misc]backup-simplify: Simplify (- 1/48) into -1/48 * [misc]backup-simplify: Simplify -1/48 into -1/48 * [misc]backup-simplify: Simplify (+ (* -1/48 (pow (* 1 lambda1) 3)) (+ (* -1/2 (* lambda2 1)) (* 1/2 (* 1 lambda1)))) into (- (* 1/2 lambda1) (+ (* 1/48 (pow lambda1 3)) (* 1/2 lambda2))) * [misc]approximate: Taking taylor expansion of (sin (/ (- (/ 1 lambda1) (/ 1 lambda2)) 2)) in (lambda1 lambda2) around 0 * [misc]taylor: Taking taylor expansion of (sin (/ (- (/ 1 lambda1) (/ 1 lambda2)) 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 lambda1) (/ 1 lambda2)) 2) 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]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (sin (/ (- (/ 1 lambda1) (/ 1 lambda2)) 2)) into (sin (* 1/2 (- (/ 1 lambda1) (/ 1 lambda2)))) * [misc]taylor: Taking taylor expansion of (sin (/ (- (/ 1 lambda1) (/ 1 lambda2)) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 lambda1) (/ 1 lambda2)) 2) 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]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sin (/ (- (/ 1 lambda1) (/ 1 lambda2)) 2)) into (sin (* 1/2 (- (/ 1 lambda1) (/ 1 lambda2)))) * [misc]taylor: Taking taylor expansion of (sin (/ (- (/ 1 lambda1) (/ 1 lambda2)) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 lambda1) (/ 1 lambda2)) 2) 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]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sin (/ (- (/ 1 lambda1) (/ 1 lambda2)) 2)) into (sin (* 1/2 (- (/ 1 lambda1) (/ 1 lambda2)))) * [misc]taylor: Taking taylor expansion of (sin (* 1/2 (- (/ 1 lambda1) (/ 1 lambda2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/2 (- (/ 1 lambda1) (/ 1 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 (- (/ 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 (* 1/2 -1) into -1/2 * [misc]backup-simplify: Simplify (sin (* 1/2 (- (/ 1 lambda1) (/ 1 lambda2)))) into (sin (* 1/2 (- (/ 1 lambda1) (/ 1 lambda2)))) * [misc]backup-simplify: Simplify (sin (* 1/2 (- (/ 1 lambda1) (/ 1 lambda2)))) into (sin (* 1/2 (- (/ 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 (sin (* 1/2 (- (/ 1 lambda1) (/ 1 lambda2)))) into (sin (* 1/2 (- (/ 1 lambda1) (/ 1 lambda2)))) * [misc]approximate: Taking taylor expansion of (sin (/ (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) 2)) in (lambda1 lambda2) around 0 * [misc]taylor: Taking taylor expansion of (sin (/ (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) 2) 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]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sin (/ (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) 2)) into (sin (* 1/2 (- (/ 1 lambda2) (/ 1 lambda1)))) * [misc]taylor: Taking taylor expansion of (sin (/ (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) 2) 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]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (sin (/ (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) 2)) into (sin (* 1/2 (- (/ 1 lambda2) (/ 1 lambda1)))) * [misc]taylor: Taking taylor expansion of (sin (/ (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) 2) 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]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (sin (/ (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) 2)) into (sin (* 1/2 (- (/ 1 lambda2) (/ 1 lambda1)))) * [misc]taylor: Taking taylor expansion of (sin (* 1/2 (- (/ 1 lambda2) (/ 1 lambda1)))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/2 (- (/ 1 lambda2) (/ 1 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 (- (/ 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 (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (sin (* 1/2 (- (/ 1 lambda2) (/ 1 lambda1)))) into (sin (* 1/2 (- (/ 1 lambda2) (/ 1 lambda1)))) * [misc]backup-simplify: Simplify (sin (* 1/2 (- (/ 1 lambda2) (/ 1 lambda1)))) into (sin (* 1/2 (- (/ 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 (sin (* 1/2 (- (/ 1 lambda2) (/ 1 lambda1)))) into (sin (* 1/2 (- (/ 1 lambda2) (/ 1 lambda1)))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 2 1 1 2 2) * [misc]approximate: Taking taylor expansion of (sin (/ (- lambda1 lambda2) 2)) in (lambda1 lambda2) around 0 * [misc]taylor: Taking taylor expansion of (sin (/ (- lambda1 lambda2) 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ (- lambda1 lambda2) 2) 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]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ lambda1 0) into lambda1 * [misc]backup-simplify: Simplify (/ lambda1 2) into (* 1/2 lambda1) * [misc]backup-simplify: Simplify (sin (* 1/2 lambda1)) into (sin (* 1/2 lambda1)) * [misc]backup-simplify: Simplify (cos (* 1/2 lambda1)) into (cos (* 1/2 lambda1)) * [misc]taylor: Taking taylor expansion of (sin (/ (- lambda1 lambda2) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (- lambda1 lambda2) 2) 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]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (+ 0 (- lambda2)) into (- lambda2) * [misc]backup-simplify: Simplify (/ (- lambda2) 2) into (* -1/2 lambda2) * [misc]backup-simplify: Simplify (sin (* -1/2 lambda2)) into (sin (* -1/2 lambda2)) * [misc]backup-simplify: Simplify (cos (* -1/2 lambda2)) into (cos (* -1/2 lambda2)) * [misc]taylor: Taking taylor expansion of (sin (/ (- lambda1 lambda2) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (- lambda1 lambda2) 2) 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]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (+ 0 (- lambda2)) into (- lambda2) * [misc]backup-simplify: Simplify (/ (- lambda2) 2) into (* -1/2 lambda2) * [misc]backup-simplify: Simplify (sin (* -1/2 lambda2)) into (sin (* -1/2 lambda2)) * [misc]backup-simplify: Simplify (cos (* -1/2 lambda2)) into (cos (* -1/2 lambda2)) * [misc]backup-simplify: Simplify (* (sin (* -1/2 lambda2)) 1) into (sin (* -1/2 lambda2)) * [misc]backup-simplify: Simplify (* (cos (* -1/2 lambda2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (* -1/2 lambda2)) 0) into (sin (* -1/2 lambda2)) * [misc]taylor: Taking taylor expansion of (sin (* -1/2 lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of (* -1/2 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 lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 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 2) (+ (* (* -1/2 lambda2) (/ 0 2)))) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 lambda2)) 1/2) (* 0 0)) into (* 1/2 (cos (* -1/2 lambda2))) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (cos (* -1/2 lambda2)))) into (* 1/2 (cos (* -1/2 lambda2))) * [misc]taylor: Taking taylor expansion of (* 1/2 (cos (* -1/2 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 (* -1/2 lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of (* -1/2 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 lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow -1/2 1) 1))) into (- 1/2) * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8) * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 lambda2)) (- 1/8)) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (sin (* -1/2 lambda2)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* -1/2 lambda2) (/ 0 2)) (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 lambda2)) 0) (+ (* 0 1/2) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/8 (sin (* -1/2 lambda2)))) 0) into (- (* 1/8 (sin (* -1/2 lambda2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/8 (sin (* -1/2 lambda2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/8 (sin (* -1/2 lambda2))) in lambda2 * [misc]taylor: Taking taylor expansion of 1/8 in lambda2 * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (sin (* -1/2 lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of (* -1/2 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 lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 * [misc]backup-simplify: Simplify (* 1/8 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 (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 1) (* 0 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 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 lambda2)) 0) (+ (* 0 (- 1/8)) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* -1/2 lambda2) (/ 0 2)) (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/48) * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 lambda2)) (- 1/48)) (+ (* 0 0) (+ (* 0 1/2) (* 0 0)))) into (- (* 1/48 (cos (* -1/2 lambda2)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/48 (cos (* -1/2 lambda2))))) into (- (* 1/48 (cos (* -1/2 lambda2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/48 (cos (* -1/2 lambda2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/48 (cos (* -1/2 lambda2))) in lambda2 * [misc]taylor: Taking taylor expansion of 1/48 in lambda2 * [misc]backup-simplify: Simplify 1/48 into 1/48 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of (* -1/2 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 lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 * [misc]backup-simplify: Simplify (* 1/48 1) into 1/48 * [misc]backup-simplify: Simplify (- 1/48) into -1/48 * [misc]backup-simplify: Simplify -1/48 into -1/48 * [misc]backup-simplify: Simplify (+ (* -1/48 (pow (* 1 lambda1) 3)) (+ (* -1/2 (* lambda2 1)) (* 1/2 (* 1 lambda1)))) into (- (* 1/2 lambda1) (+ (* 1/48 (pow lambda1 3)) (* 1/2 lambda2))) * [misc]approximate: Taking taylor expansion of (sin (/ (- (/ 1 lambda1) (/ 1 lambda2)) 2)) in (lambda1 lambda2) around 0 * [misc]taylor: Taking taylor expansion of (sin (/ (- (/ 1 lambda1) (/ 1 lambda2)) 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 lambda1) (/ 1 lambda2)) 2) 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]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (sin (/ (- (/ 1 lambda1) (/ 1 lambda2)) 2)) into (sin (* 1/2 (- (/ 1 lambda1) (/ 1 lambda2)))) * [misc]taylor: Taking taylor expansion of (sin (/ (- (/ 1 lambda1) (/ 1 lambda2)) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 lambda1) (/ 1 lambda2)) 2) 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]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sin (/ (- (/ 1 lambda1) (/ 1 lambda2)) 2)) into (sin (* 1/2 (- (/ 1 lambda1) (/ 1 lambda2)))) * [misc]taylor: Taking taylor expansion of (sin (/ (- (/ 1 lambda1) (/ 1 lambda2)) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 lambda1) (/ 1 lambda2)) 2) 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]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sin (/ (- (/ 1 lambda1) (/ 1 lambda2)) 2)) into (sin (* 1/2 (- (/ 1 lambda1) (/ 1 lambda2)))) * [misc]taylor: Taking taylor expansion of (sin (* 1/2 (- (/ 1 lambda1) (/ 1 lambda2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/2 (- (/ 1 lambda1) (/ 1 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 (- (/ 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 (* 1/2 -1) into -1/2 * [misc]backup-simplify: Simplify (sin (* 1/2 (- (/ 1 lambda1) (/ 1 lambda2)))) into (sin (* 1/2 (- (/ 1 lambda1) (/ 1 lambda2)))) * [misc]backup-simplify: Simplify (sin (* 1/2 (- (/ 1 lambda1) (/ 1 lambda2)))) into (sin (* 1/2 (- (/ 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 (sin (* 1/2 (- (/ 1 lambda1) (/ 1 lambda2)))) into (sin (* 1/2 (- (/ 1 lambda1) (/ 1 lambda2)))) * [misc]approximate: Taking taylor expansion of (sin (/ (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) 2)) in (lambda1 lambda2) around 0 * [misc]taylor: Taking taylor expansion of (sin (/ (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) 2) 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]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sin (/ (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) 2)) into (sin (* 1/2 (- (/ 1 lambda2) (/ 1 lambda1)))) * [misc]taylor: Taking taylor expansion of (sin (/ (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) 2) 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]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (sin (/ (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) 2)) into (sin (* 1/2 (- (/ 1 lambda2) (/ 1 lambda1)))) * [misc]taylor: Taking taylor expansion of (sin (/ (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) 2) 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]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (sin (/ (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) 2)) into (sin (* 1/2 (- (/ 1 lambda2) (/ 1 lambda1)))) * [misc]taylor: Taking taylor expansion of (sin (* 1/2 (- (/ 1 lambda2) (/ 1 lambda1)))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/2 (- (/ 1 lambda2) (/ 1 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 (- (/ 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 (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (sin (* 1/2 (- (/ 1 lambda2) (/ 1 lambda1)))) into (sin (* 1/2 (- (/ 1 lambda2) (/ 1 lambda1)))) * [misc]backup-simplify: Simplify (sin (* 1/2 (- (/ 1 lambda2) (/ 1 lambda1)))) into (sin (* 1/2 (- (/ 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 (sin (* 1/2 (- (/ 1 lambda2) (/ 1 lambda1)))) into (sin (* 1/2 (- (/ 1 lambda2) (/ 1 lambda1)))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 2 1 1 2 1 2) * [misc]approximate: Taking taylor expansion of (sin (/ (- lambda1 lambda2) 2)) in (lambda1 lambda2) around 0 * [misc]taylor: Taking taylor expansion of (sin (/ (- lambda1 lambda2) 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ (- lambda1 lambda2) 2) 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]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ lambda1 0) into lambda1 * [misc]backup-simplify: Simplify (/ lambda1 2) into (* 1/2 lambda1) * [misc]backup-simplify: Simplify (sin (* 1/2 lambda1)) into (sin (* 1/2 lambda1)) * [misc]backup-simplify: Simplify (cos (* 1/2 lambda1)) into (cos (* 1/2 lambda1)) * [misc]taylor: Taking taylor expansion of (sin (/ (- lambda1 lambda2) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (- lambda1 lambda2) 2) 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]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (+ 0 (- lambda2)) into (- lambda2) * [misc]backup-simplify: Simplify (/ (- lambda2) 2) into (* -1/2 lambda2) * [misc]backup-simplify: Simplify (sin (* -1/2 lambda2)) into (sin (* -1/2 lambda2)) * [misc]backup-simplify: Simplify (cos (* -1/2 lambda2)) into (cos (* -1/2 lambda2)) * [misc]taylor: Taking taylor expansion of (sin (/ (- lambda1 lambda2) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (- lambda1 lambda2) 2) 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]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (+ 0 (- lambda2)) into (- lambda2) * [misc]backup-simplify: Simplify (/ (- lambda2) 2) into (* -1/2 lambda2) * [misc]backup-simplify: Simplify (sin (* -1/2 lambda2)) into (sin (* -1/2 lambda2)) * [misc]backup-simplify: Simplify (cos (* -1/2 lambda2)) into (cos (* -1/2 lambda2)) * [misc]backup-simplify: Simplify (* (sin (* -1/2 lambda2)) 1) into (sin (* -1/2 lambda2)) * [misc]backup-simplify: Simplify (* (cos (* -1/2 lambda2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (* -1/2 lambda2)) 0) into (sin (* -1/2 lambda2)) * [misc]taylor: Taking taylor expansion of (sin (* -1/2 lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of (* -1/2 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 lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 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 2) (+ (* (* -1/2 lambda2) (/ 0 2)))) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 lambda2)) 1/2) (* 0 0)) into (* 1/2 (cos (* -1/2 lambda2))) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (cos (* -1/2 lambda2)))) into (* 1/2 (cos (* -1/2 lambda2))) * [misc]taylor: Taking taylor expansion of (* 1/2 (cos (* -1/2 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 (* -1/2 lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of (* -1/2 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 lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow -1/2 1) 1))) into (- 1/2) * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8) * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 lambda2)) (- 1/8)) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (sin (* -1/2 lambda2)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* -1/2 lambda2) (/ 0 2)) (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 lambda2)) 0) (+ (* 0 1/2) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/8 (sin (* -1/2 lambda2)))) 0) into (- (* 1/8 (sin (* -1/2 lambda2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/8 (sin (* -1/2 lambda2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/8 (sin (* -1/2 lambda2))) in lambda2 * [misc]taylor: Taking taylor expansion of 1/8 in lambda2 * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (sin (* -1/2 lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of (* -1/2 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 lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 * [misc]backup-simplify: Simplify (* 1/8 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 (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 1) (* 0 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 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 lambda2)) 0) (+ (* 0 (- 1/8)) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* -1/2 lambda2) (/ 0 2)) (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/48) * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 lambda2)) (- 1/48)) (+ (* 0 0) (+ (* 0 1/2) (* 0 0)))) into (- (* 1/48 (cos (* -1/2 lambda2)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/48 (cos (* -1/2 lambda2))))) into (- (* 1/48 (cos (* -1/2 lambda2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/48 (cos (* -1/2 lambda2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/48 (cos (* -1/2 lambda2))) in lambda2 * [misc]taylor: Taking taylor expansion of 1/48 in lambda2 * [misc]backup-simplify: Simplify 1/48 into 1/48 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of (* -1/2 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 lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 * [misc]backup-simplify: Simplify (* 1/48 1) into 1/48 * [misc]backup-simplify: Simplify (- 1/48) into -1/48 * [misc]backup-simplify: Simplify -1/48 into -1/48 * [misc]backup-simplify: Simplify (+ (* -1/48 (pow (* 1 lambda1) 3)) (+ (* -1/2 (* lambda2 1)) (* 1/2 (* 1 lambda1)))) into (- (* 1/2 lambda1) (+ (* 1/48 (pow lambda1 3)) (* 1/2 lambda2))) * [misc]approximate: Taking taylor expansion of (sin (/ (- (/ 1 lambda1) (/ 1 lambda2)) 2)) in (lambda1 lambda2) around 0 * [misc]taylor: Taking taylor expansion of (sin (/ (- (/ 1 lambda1) (/ 1 lambda2)) 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 lambda1) (/ 1 lambda2)) 2) 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]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (sin (/ (- (/ 1 lambda1) (/ 1 lambda2)) 2)) into (sin (* 1/2 (- (/ 1 lambda1) (/ 1 lambda2)))) * [misc]taylor: Taking taylor expansion of (sin (/ (- (/ 1 lambda1) (/ 1 lambda2)) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 lambda1) (/ 1 lambda2)) 2) 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]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sin (/ (- (/ 1 lambda1) (/ 1 lambda2)) 2)) into (sin (* 1/2 (- (/ 1 lambda1) (/ 1 lambda2)))) * [misc]taylor: Taking taylor expansion of (sin (/ (- (/ 1 lambda1) (/ 1 lambda2)) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 lambda1) (/ 1 lambda2)) 2) 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]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sin (/ (- (/ 1 lambda1) (/ 1 lambda2)) 2)) into (sin (* 1/2 (- (/ 1 lambda1) (/ 1 lambda2)))) * [misc]taylor: Taking taylor expansion of (sin (* 1/2 (- (/ 1 lambda1) (/ 1 lambda2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/2 (- (/ 1 lambda1) (/ 1 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 (- (/ 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 (* 1/2 -1) into -1/2 * [misc]backup-simplify: Simplify (sin (* 1/2 (- (/ 1 lambda1) (/ 1 lambda2)))) into (sin (* 1/2 (- (/ 1 lambda1) (/ 1 lambda2)))) * [misc]backup-simplify: Simplify (sin (* 1/2 (- (/ 1 lambda1) (/ 1 lambda2)))) into (sin (* 1/2 (- (/ 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 (sin (* 1/2 (- (/ 1 lambda1) (/ 1 lambda2)))) into (sin (* 1/2 (- (/ 1 lambda1) (/ 1 lambda2)))) * [misc]approximate: Taking taylor expansion of (sin (/ (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) 2)) in (lambda1 lambda2) around 0 * [misc]taylor: Taking taylor expansion of (sin (/ (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) 2) 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]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sin (/ (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) 2)) into (sin (* 1/2 (- (/ 1 lambda2) (/ 1 lambda1)))) * [misc]taylor: Taking taylor expansion of (sin (/ (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) 2) 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]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (sin (/ (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) 2)) into (sin (* 1/2 (- (/ 1 lambda2) (/ 1 lambda1)))) * [misc]taylor: Taking taylor expansion of (sin (/ (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) 2) 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]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (sin (/ (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) 2)) into (sin (* 1/2 (- (/ 1 lambda2) (/ 1 lambda1)))) * [misc]taylor: Taking taylor expansion of (sin (* 1/2 (- (/ 1 lambda2) (/ 1 lambda1)))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/2 (- (/ 1 lambda2) (/ 1 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 (- (/ 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 (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (sin (* 1/2 (- (/ 1 lambda2) (/ 1 lambda1)))) into (sin (* 1/2 (- (/ 1 lambda2) (/ 1 lambda1)))) * [misc]backup-simplify: Simplify (sin (* 1/2 (- (/ 1 lambda2) (/ 1 lambda1)))) into (sin (* 1/2 (- (/ 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 (sin (* 1/2 (- (/ 1 lambda2) (/ 1 lambda1)))) into (sin (* 1/2 (- (/ 1 lambda2) (/ 1 lambda1)))) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 2 2 1 2 2 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 2 2 1 2 2 1 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 2 1 1 2 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 2 1 1 2 1 2) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (* R (* 2 (atan2 (sqrt (+ (pow (- (* (sin (/ phi1 2)) (cos (/ phi2 2))) (* (cos (/ phi1 2)) (sin (/ phi2 2)))) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) (sqrt (- 1 (+ (pow (- (* (sin (/ phi1 2)) (cos (/ phi2 2))) (* (cos (/ phi1 2)) (sin (/ phi2 2)))) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (- (* 1/2 lambda1) (+ (* 1/48 (pow lambda1 3)) (* 1/2 lambda2)))))))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (127 enodes) * * [misc]simplify: iters left: 2 (147 enodes) * * [misc]simplify: iters left: 1 (159 enodes) * [exit]simplify: Simplified to (* (atan2 (sqrt (+ (* (sin (/ (- lambda1 lambda2) 2)) (* (sin (/ (- lambda1 lambda2) 2)) (* (cos phi1) (cos phi2)))) (* (- (* (cos (/ phi2 2)) (sin (/ phi1 2))) (* (sin (/ phi2 2)) (cos (/ phi1 2)))) (- (* (cos (/ phi2 2)) (sin (/ phi1 2))) (* (sin (/ phi2 2)) (cos (/ phi1 2))))))) (sqrt (- (- 1 (* (- (* (cos (/ phi2 2)) (sin (/ phi1 2))) (* (sin (/ phi2 2)) (cos (/ phi1 2)))) (- (* (cos (/ phi2 2)) (sin (/ phi1 2))) (* (sin (/ phi2 2)) (cos (/ phi1 2)))))) (* (- (* lambda1 1/2) (+ (* (* lambda1 1/48) (* lambda1 lambda1)) (* 1/2 lambda2))) (* (sin (/ (- lambda1 lambda2) 2)) (* (cos phi1) (cos phi2))))))) (+ R R)) * * * * [misc]progress: [ 2 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (* R (* 2 (atan2 (sqrt (+ (pow (- (* (sin (/ phi1 2)) (cos (/ phi2 2))) (* (cos (/ phi1 2)) (sin (/ phi2 2)))) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) (sqrt (- 1 (+ (pow (- (* (sin (/ phi1 2)) (cos (/ phi2 2))) (* (cos (/ phi1 2)) (sin (/ phi2 2)))) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (* 1/2 (- (/ 1 lambda1) (/ 1 lambda2))))))))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (131 enodes) * [exit]simplify: Simplified to (* (+ R R) (atan2 (sqrt (+ (* (sin (/ (- lambda1 lambda2) 2)) (* (sin (/ (- lambda1 lambda2) 2)) (* (cos phi1) (cos phi2)))) (* (- (* (cos (/ phi2 2)) (sin (/ phi1 2))) (* (sin (/ phi2 2)) (cos (/ phi1 2)))) (- (* (cos (/ phi2 2)) (sin (/ phi1 2))) (* (sin (/ phi2 2)) (cos (/ phi1 2))))))) (sqrt (- (- 1 (* (- (* (cos (/ phi2 2)) (sin (/ phi1 2))) (* (sin (/ phi2 2)) (cos (/ phi1 2)))) (- (* (cos (/ phi2 2)) (sin (/ phi1 2))) (* (sin (/ phi2 2)) (cos (/ phi1 2)))))) (* (* (sin (/ (- lambda1 lambda2) 2)) (* (cos phi1) (cos phi2))) (sin (* 1/2 (- (/ 1 lambda1) (/ 1 lambda2))))))))) * * * * [misc]progress: [ 3 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (* R (* 2 (atan2 (sqrt (+ (pow (- (* (sin (/ phi1 2)) (cos (/ phi2 2))) (* (cos (/ phi1 2)) (sin (/ phi2 2)))) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) (sqrt (- 1 (+ (pow (- (* (sin (/ phi1 2)) (cos (/ phi2 2))) (* (cos (/ phi1 2)) (sin (/ phi2 2)))) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (* 1/2 (- (/ 1 lambda2) (/ 1 lambda1))))))))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (131 enodes) * [exit]simplify: Simplified to (* (+ R R) (atan2 (sqrt (+ (* (sin (/ (- lambda1 lambda2) 2)) (* (sin (/ (- lambda1 lambda2) 2)) (* (cos phi1) (cos phi2)))) (* (- (* (cos (/ phi2 2)) (sin (/ phi1 2))) (* (sin (/ phi2 2)) (cos (/ phi1 2)))) (- (* (cos (/ phi2 2)) (sin (/ phi1 2))) (* (sin (/ phi2 2)) (cos (/ phi1 2))))))) (sqrt (- (- 1 (* (- (* (cos (/ phi2 2)) (sin (/ phi1 2))) (* (sin (/ phi2 2)) (cos (/ phi1 2)))) (- (* (cos (/ phi2 2)) (sin (/ phi1 2))) (* (sin (/ phi2 2)) (cos (/ phi1 2)))))) (* (* (sin (/ (- lambda1 lambda2) 2)) (* (cos phi1) (cos phi2))) (sin (* 1/2 (- (/ 1 lambda2) (/ 1 lambda1))))))))) * * * * [misc]progress: [ 4 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (* R (* 2 (atan2 (sqrt (+ (pow (- (* (sin (/ phi1 2)) (cos (/ phi2 2))) (* (cos (/ phi1 2)) (sin (/ phi2 2)))) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) (sqrt (- 1 (+ (pow (- (* (sin (/ phi1 2)) (cos (/ phi2 2))) (* (cos (/ phi1 2)) (sin (/ phi2 2)))) 2) (* (* (* (cos phi1) (cos phi2)) (- (* 1/2 lambda1) (+ (* 1/48 (pow lambda1 3)) (* 1/2 lambda2)))) (sin (/ (- lambda1 lambda2) 2))))))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (125 enodes) * * [misc]simplify: iters left: 2 (155 enodes) * * [misc]simplify: iters left: 1 (168 enodes) * [exit]simplify: Simplified to (* (+ R R) (atan2 (sqrt (+ (* (* (cos phi1) (sin (/ (- lambda1 lambda2) 2))) (* (cos phi2) (sin (/ (- lambda1 lambda2) 2)))) (* (- (* (cos (/ phi2 2)) (sin (/ phi1 2))) (* (sin (/ phi2 2)) (cos (/ phi1 2)))) (- (* (cos (/ phi2 2)) (sin (/ phi1 2))) (* (sin (/ phi2 2)) (cos (/ phi1 2))))))) (sqrt (- (- 1 (* (- (* (cos (/ phi2 2)) (sin (/ phi1 2))) (* (sin (/ phi2 2)) (cos (/ phi1 2)))) (- (* (cos (/ phi2 2)) (sin (/ phi1 2))) (* (sin (/ phi2 2)) (cos (/ phi1 2)))))) (* (- (* lambda1 1/2) (+ (* (* lambda1 1/48) (* lambda1 lambda1)) (* 1/2 lambda2))) (* (sin (/ (- lambda1 lambda2) 2)) (* (cos phi1) (cos phi2)))))))) * * * * [misc]progress: [ 5 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (* R (* 2 (atan2 (sqrt (+ (pow (- (* (sin (/ phi1 2)) (cos (/ phi2 2))) (* (cos (/ phi1 2)) (sin (/ phi2 2)))) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) (sqrt (- 1 (+ (pow (- (* (sin (/ phi1 2)) (cos (/ phi2 2))) (* (cos (/ phi1 2)) (sin (/ phi2 2)))) 2) (* (* (* (cos phi1) (cos phi2)) (sin (* 1/2 (- (/ 1 lambda1) (/ 1 lambda2))))) (sin (/ (- lambda1 lambda2) 2))))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (140 enodes) * [exit]simplify: Simplified to (* (+ R R) (atan2 (sqrt (+ (* (sin (/ (- lambda1 lambda2) 2)) (* (sin (/ (- lambda1 lambda2) 2)) (* (cos phi1) (cos phi2)))) (* (- (* (cos (/ phi2 2)) (sin (/ phi1 2))) (* (sin (/ phi2 2)) (cos (/ phi1 2)))) (- (* (cos (/ phi2 2)) (sin (/ phi1 2))) (* (sin (/ phi2 2)) (cos (/ phi1 2))))))) (sqrt (- (- 1 (* (- (* (cos (/ phi2 2)) (sin (/ phi1 2))) (* (sin (/ phi2 2)) (cos (/ phi1 2)))) (- (* (cos (/ phi2 2)) (sin (/ phi1 2))) (* (sin (/ phi2 2)) (cos (/ phi1 2)))))) (* (* (sin (/ (- lambda1 lambda2) 2)) (* (cos phi1) (cos phi2))) (sin (* 1/2 (- (/ 1 lambda1) (/ 1 lambda2))))))))) * * * * [misc]progress: [ 6 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (* R (* 2 (atan2 (sqrt (+ (pow (- (* (sin (/ phi1 2)) (cos (/ phi2 2))) (* (cos (/ phi1 2)) (sin (/ phi2 2)))) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) (sqrt (- 1 (+ (pow (- (* (sin (/ phi1 2)) (cos (/ phi2 2))) (* (cos (/ phi1 2)) (sin (/ phi2 2)))) 2) (* (* (* (cos phi1) (cos phi2)) (sin (* 1/2 (- (/ 1 lambda2) (/ 1 lambda1))))) (sin (/ (- lambda1 lambda2) 2))))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (140 enodes) * [exit]simplify: Simplified to (* (+ R R) (atan2 (sqrt (+ (* (sin (/ (- lambda1 lambda2) 2)) (* (sin (/ (- lambda1 lambda2) 2)) (* (cos phi1) (cos phi2)))) (* (- (* (cos (/ phi2 2)) (sin (/ phi1 2))) (* (sin (/ phi2 2)) (cos (/ phi1 2)))) (- (* (cos (/ phi2 2)) (sin (/ phi1 2))) (* (sin (/ phi2 2)) (cos (/ phi1 2))))))) (sqrt (- (- 1 (* (- (* (cos (/ phi2 2)) (sin (/ phi1 2))) (* (sin (/ phi2 2)) (cos (/ phi1 2)))) (- (* (cos (/ phi2 2)) (sin (/ phi1 2))) (* (sin (/ phi2 2)) (cos (/ phi1 2)))))) (* (* (sin (/ (- lambda1 lambda2) 2)) (* (cos phi1) (cos phi2))) (sin (* 1/2 (- (/ 1 lambda2) (/ 1 lambda1))))))))) * * * * [misc]progress: [ 7 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (* R (* 2 (atan2 (sqrt (+ (pow (- (* (sin (/ phi1 2)) (cos (/ phi2 2))) (* (cos (/ phi1 2)) (sin (/ phi2 2)))) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (- (* 1/2 lambda1) (+ (* 1/48 (pow lambda1 3)) (* 1/2 lambda2)))))) (sqrt (- 1 (+ (pow (- (* (sin (/ phi1 2)) (cos (/ phi2 2))) (* (cos (/ phi1 2)) (sin (/ phi2 2)))) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (127 enodes) * * [misc]simplify: iters left: 2 (147 enodes) * * [misc]simplify: iters left: 1 (164 enodes) * [exit]simplify: Simplified to (* (atan2 (sqrt (+ (* (- (* (cos (/ phi2 2)) (sin (/ phi1 2))) (* (sin (/ phi2 2)) (cos (/ phi1 2)))) (- (* (cos (/ phi2 2)) (sin (/ phi1 2))) (* (sin (/ phi2 2)) (cos (/ phi1 2))))) (* (* (sin (/ (- lambda1 lambda2) 2)) (* (cos phi1) (cos phi2))) (- (- (* 1/2 lambda1) (* (* 1/48 lambda1) (* lambda1 lambda1))) (* 1/2 lambda2))))) (sqrt (- (- 1 (* (- (* (cos (/ phi2 2)) (sin (/ phi1 2))) (* (sin (/ phi2 2)) (cos (/ phi1 2)))) (- (* (cos (/ phi2 2)) (sin (/ phi1 2))) (* (sin (/ phi2 2)) (cos (/ phi1 2)))))) (* (sin (/ (- lambda1 lambda2) 2)) (* (sin (/ (- lambda1 lambda2) 2)) (* (cos phi1) (cos phi2))))))) (+ R R)) * * * * [misc]progress: [ 8 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (* R (* 2 (atan2 (sqrt (+ (pow (- (* (sin (/ phi1 2)) (cos (/ phi2 2))) (* (cos (/ phi1 2)) (sin (/ phi2 2)))) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (* 1/2 (- (/ 1 lambda1) (/ 1 lambda2))))))) (sqrt (- 1 (+ (pow (- (* (sin (/ phi1 2)) (cos (/ phi2 2))) (* (cos (/ phi1 2)) (sin (/ phi2 2)))) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (137 enodes) * [exit]simplify: Simplified to (* (+ R R) (atan2 (sqrt (+ (* (* (sin (/ (- lambda1 lambda2) 2)) (* (cos phi1) (cos phi2))) (sin (* 1/2 (- (/ 1 lambda1) (/ 1 lambda2))))) (* (- (* (cos (/ phi2 2)) (sin (/ phi1 2))) (* (sin (/ phi2 2)) (cos (/ phi1 2)))) (- (* (cos (/ phi2 2)) (sin (/ phi1 2))) (* (sin (/ phi2 2)) (cos (/ phi1 2))))))) (sqrt (- (- 1 (* (- (* (cos (/ phi2 2)) (sin (/ phi1 2))) (* (sin (/ phi2 2)) (cos (/ phi1 2)))) (- (* (cos (/ phi2 2)) (sin (/ phi1 2))) (* (sin (/ phi2 2)) (cos (/ phi1 2)))))) (* (sin (/ (- lambda1 lambda2) 2)) (* (sin (/ (- lambda1 lambda2) 2)) (* (cos phi1) (cos phi2)))))))) * * * * [misc]progress: [ 9 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (* R (* 2 (atan2 (sqrt (+ (pow (- (* (sin (/ phi1 2)) (cos (/ phi2 2))) (* (cos (/ phi1 2)) (sin (/ phi2 2)))) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (* 1/2 (- (/ 1 lambda2) (/ 1 lambda1))))))) (sqrt (- 1 (+ (pow (- (* (sin (/ phi1 2)) (cos (/ phi2 2))) (* (cos (/ phi1 2)) (sin (/ phi2 2)))) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (137 enodes) * [exit]simplify: Simplified to (* (+ R R) (atan2 (sqrt (+ (* (* (sin (/ (- lambda1 lambda2) 2)) (* (cos phi1) (cos phi2))) (sin (* 1/2 (- (/ 1 lambda2) (/ 1 lambda1))))) (* (- (* (cos (/ phi2 2)) (sin (/ phi1 2))) (* (sin (/ phi2 2)) (cos (/ phi1 2)))) (- (* (cos (/ phi2 2)) (sin (/ phi1 2))) (* (sin (/ phi2 2)) (cos (/ phi1 2))))))) (sqrt (- (- 1 (* (- (* (cos (/ phi2 2)) (sin (/ phi1 2))) (* (sin (/ phi2 2)) (cos (/ phi1 2)))) (- (* (cos (/ phi2 2)) (sin (/ phi1 2))) (* (sin (/ phi2 2)) (cos (/ phi1 2)))))) (* (sin (/ (- lambda1 lambda2) 2)) (* (sin (/ (- lambda1 lambda2) 2)) (* (cos phi1) (cos phi2)))))))) * * * * [misc]progress: [ 10 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (* R (* 2 (atan2 (sqrt (+ (pow (- (* (sin (/ phi1 2)) (cos (/ phi2 2))) (* (cos (/ phi1 2)) (sin (/ phi2 2)))) 2) (* (* (* (cos phi1) (cos phi2)) (- (* 1/2 lambda1) (+ (* 1/48 (pow lambda1 3)) (* 1/2 lambda2)))) (sin (/ (- lambda1 lambda2) 2))))) (sqrt (- 1 (+ (pow (- (* (sin (/ phi1 2)) (cos (/ phi2 2))) (* (cos (/ phi1 2)) (sin (/ phi2 2)))) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (118 enodes) * * [misc]simplify: iters left: 2 (156 enodes) * * [misc]simplify: iters left: 1 (166 enodes) * [exit]simplify: Simplified to (* (+ R R) (atan2 (sqrt (+ (* (- (* (cos (/ phi2 2)) (sin (/ phi1 2))) (* (sin (/ phi2 2)) (cos (/ phi1 2)))) (- (* (cos (/ phi2 2)) (sin (/ phi1 2))) (* (sin (/ phi2 2)) (cos (/ phi1 2))))) (* (* (sin (/ (- lambda1 lambda2) 2)) (* (cos phi1) (cos phi2))) (- (* 1/2 lambda1) (+ (* 1/2 lambda2) (* (* lambda1 lambda1) (* 1/48 lambda1))))))) (sqrt (- (- 1 (* (- (* (cos (/ phi2 2)) (sin (/ phi1 2))) (* (sin (/ phi2 2)) (cos (/ phi1 2)))) (- (* (cos (/ phi2 2)) (sin (/ phi1 2))) (* (sin (/ phi2 2)) (cos (/ phi1 2)))))) (* (* (sin (/ (- lambda1 lambda2) 2)) (cos phi2)) (* (sin (/ (- lambda1 lambda2) 2)) (cos phi1))))))) * * * * [misc]progress: [ 11 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (* R (* 2 (atan2 (sqrt (+ (pow (- (* (sin (/ phi1 2)) (cos (/ phi2 2))) (* (cos (/ phi1 2)) (sin (/ phi2 2)))) 2) (* (* (* (cos phi1) (cos phi2)) (sin (* 1/2 (- (/ 1 lambda1) (/ 1 lambda2))))) (sin (/ (- lambda1 lambda2) 2))))) (sqrt (- 1 (+ (pow (- (* (sin (/ phi1 2)) (cos (/ phi2 2))) (* (cos (/ phi1 2)) (sin (/ phi2 2)))) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (130 enodes) * * [misc]simplify: iters left: 1 (138 enodes) * [exit]simplify: Simplified to (* (+ R R) (atan2 (sqrt (+ (* (sin (* (- (/ 1 lambda1) (/ 1 lambda2)) 1/2)) (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2)))) (* (- (* (cos (/ phi2 2)) (sin (/ phi1 2))) (* (sin (/ phi2 2)) (cos (/ phi1 2)))) (- (* (cos (/ phi2 2)) (sin (/ phi1 2))) (* (sin (/ phi2 2)) (cos (/ phi1 2))))))) (sqrt (- (- 1 (* (- (* (cos (/ phi2 2)) (sin (/ phi1 2))) (* (sin (/ phi2 2)) (cos (/ phi1 2)))) (- (* (cos (/ phi2 2)) (sin (/ phi1 2))) (* (sin (/ phi2 2)) (cos (/ phi1 2)))))) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))))) * * * * [misc]progress: [ 12 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (* R (* 2 (atan2 (sqrt (+ (pow (- (* (sin (/ phi1 2)) (cos (/ phi2 2))) (* (cos (/ phi1 2)) (sin (/ phi2 2)))) 2) (* (* (* (cos phi1) (cos phi2)) (sin (* 1/2 (- (/ 1 lambda2) (/ 1 lambda1))))) (sin (/ (- lambda1 lambda2) 2))))) (sqrt (- 1 (+ (pow (- (* (sin (/ phi1 2)) (cos (/ phi2 2))) (* (cos (/ phi1 2)) (sin (/ phi2 2)))) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (130 enodes) * * [misc]simplify: iters left: 1 (138 enodes) * [exit]simplify: Simplified to (* (+ R R) (atan2 (sqrt (+ (* (sin (* (- (/ 1 lambda2) (/ 1 lambda1)) 1/2)) (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2)))) (* (- (* (cos (/ phi2 2)) (sin (/ phi1 2))) (* (sin (/ phi2 2)) (cos (/ phi1 2)))) (- (* (cos (/ phi2 2)) (sin (/ phi1 2))) (* (sin (/ phi2 2)) (cos (/ phi1 2))))))) (sqrt (- (- 1 (* (- (* (cos (/ phi2 2)) (sin (/ phi1 2))) (* (sin (/ phi2 2)) (cos (/ phi1 2)))) (- (* (cos (/ phi2 2)) (sin (/ phi1 2))) (* (sin (/ phi2 2)) (cos (/ phi1 2)))))) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))))) * * * * [misc]progress: [ 13 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin (/ lambda1 2)) (cos (/ lambda2 2))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (* (sin (/ lambda1 2)) (cos (/ lambda2 2))) * [exit]simplify: Simplified to (* (sin (/ lambda1 2)) (cos (/ lambda2 2))) * [enter]simplify: Simplifying (* (cos (/ lambda1 2)) (sin (/ lambda2 2))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (* (cos (/ lambda1 2)) (sin (/ lambda2 2))) * [exit]simplify: Simplified to (* (cos (/ lambda1 2)) (sin (/ lambda2 2))) * * * * [misc]progress: [ 14 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sin (/ (- lambda1 lambda2) 2))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (log (sin (/ (- lambda1 lambda2) 2))) * [exit]simplify: Simplified to (log (sin (/ (- lambda1 lambda2) 2))) * * * * [misc]progress: [ 16 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sin (/ (- lambda1 lambda2) 2))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (exp (sin (/ (- lambda1 lambda2) 2))) * [exit]simplify: Simplified to (exp (sin (/ (- lambda1 lambda2) 2))) * * * * [misc]progress: [ 17 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sin (/ (- lambda1 lambda2) 2))) (cbrt (sin (/ (- lambda1 lambda2) 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* (cbrt (sin (/ (- lambda1 lambda2) 2))) (cbrt (sin (/ (- lambda1 lambda2) 2)))) * [exit]simplify: Simplified to (* (cbrt (sin (/ (- lambda1 lambda2) 2))) (cbrt (sin (/ (- lambda1 lambda2) 2)))) * [enter]simplify: Simplifying (cbrt (sin (/ (- lambda1 lambda2) 2))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (cbrt (sin (/ (- lambda1 lambda2) 2))) * [exit]simplify: Simplified to (cbrt (sin (/ (- lambda1 lambda2) 2))) * * * * [misc]progress: [ 18 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sin (/ (- lambda1 lambda2) 2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (pow (sin (/ (- lambda1 lambda2) 2)) 3) * [exit]simplify: Simplified to (pow (sin (/ (- lambda1 lambda2) 2)) 3) * * * * [misc]progress: [ 19 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sin (/ (- lambda1 lambda2) 2))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (sin (/ (- lambda1 lambda2) 2))) * [exit]simplify: Simplified to (sqrt (sin (/ (- lambda1 lambda2) 2))) * [enter]simplify: Simplifying (sqrt (sin (/ (- lambda1 lambda2) 2))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (sin (/ (- lambda1 lambda2) 2))) * [exit]simplify: Simplified to (sqrt (sin (/ (- lambda1 lambda2) 2))) * * * * [misc]progress: [ 20 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin (/ lambda1 2)) (cos (/ lambda2 2))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (* (sin (/ lambda1 2)) (cos (/ lambda2 2))) * [exit]simplify: Simplified to (* (sin (/ lambda1 2)) (cos (/ lambda2 2))) * [enter]simplify: Simplifying (* (cos (/ lambda1 2)) (sin (/ lambda2 2))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (* (cos (/ lambda1 2)) (sin (/ lambda2 2))) * [exit]simplify: Simplified to (* (cos (/ lambda1 2)) (sin (/ lambda2 2))) * * * * [misc]progress: [ 22 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sin (/ (- lambda1 lambda2) 2))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (log (sin (/ (- lambda1 lambda2) 2))) * [exit]simplify: Simplified to (log (sin (/ (- lambda1 lambda2) 2))) * * * * [misc]progress: [ 24 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sin (/ (- lambda1 lambda2) 2))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (exp (sin (/ (- lambda1 lambda2) 2))) * [exit]simplify: Simplified to (exp (sin (/ (- lambda1 lambda2) 2))) * * * * [misc]progress: [ 25 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sin (/ (- lambda1 lambda2) 2))) (cbrt (sin (/ (- lambda1 lambda2) 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* (cbrt (sin (/ (- lambda1 lambda2) 2))) (cbrt (sin (/ (- lambda1 lambda2) 2)))) * [exit]simplify: Simplified to (* (cbrt (sin (/ (- lambda1 lambda2) 2))) (cbrt (sin (/ (- lambda1 lambda2) 2)))) * [enter]simplify: Simplifying (cbrt (sin (/ (- lambda1 lambda2) 2))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (cbrt (sin (/ (- lambda1 lambda2) 2))) * [exit]simplify: Simplified to (cbrt (sin (/ (- lambda1 lambda2) 2))) * * * * [misc]progress: [ 26 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sin (/ (- lambda1 lambda2) 2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (pow (sin (/ (- lambda1 lambda2) 2)) 3) * [exit]simplify: Simplified to (pow (sin (/ (- lambda1 lambda2) 2)) 3) * * * * [misc]progress: [ 27 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sin (/ (- lambda1 lambda2) 2))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (sin (/ (- lambda1 lambda2) 2))) * [exit]simplify: Simplified to (sqrt (sin (/ (- lambda1 lambda2) 2))) * [enter]simplify: Simplifying (sqrt (sin (/ (- lambda1 lambda2) 2))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (sin (/ (- lambda1 lambda2) 2))) * [exit]simplify: Simplified to (sqrt (sin (/ (- lambda1 lambda2) 2))) * * * * [misc]progress: [ 28 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin (/ lambda1 2)) (cos (/ lambda2 2))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (* (sin (/ lambda1 2)) (cos (/ lambda2 2))) * [exit]simplify: Simplified to (* (sin (/ lambda1 2)) (cos (/ lambda2 2))) * [enter]simplify: Simplifying (* (cos (/ lambda1 2)) (sin (/ lambda2 2))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (* (cos (/ lambda1 2)) (sin (/ lambda2 2))) * [exit]simplify: Simplified to (* (cos (/ lambda1 2)) (sin (/ lambda2 2))) * * * * [misc]progress: [ 30 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sin (/ (- lambda1 lambda2) 2))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (log (sin (/ (- lambda1 lambda2) 2))) * [exit]simplify: Simplified to (log (sin (/ (- lambda1 lambda2) 2))) * * * * [misc]progress: [ 32 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sin (/ (- lambda1 lambda2) 2))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (exp (sin (/ (- lambda1 lambda2) 2))) * [exit]simplify: Simplified to (exp (sin (/ (- lambda1 lambda2) 2))) * * * * [misc]progress: [ 33 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sin (/ (- lambda1 lambda2) 2))) (cbrt (sin (/ (- lambda1 lambda2) 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* (cbrt (sin (/ (- lambda1 lambda2) 2))) (cbrt (sin (/ (- lambda1 lambda2) 2)))) * [exit]simplify: Simplified to (* (cbrt (sin (/ (- lambda1 lambda2) 2))) (cbrt (sin (/ (- lambda1 lambda2) 2)))) * [enter]simplify: Simplifying (cbrt (sin (/ (- lambda1 lambda2) 2))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (cbrt (sin (/ (- lambda1 lambda2) 2))) * [exit]simplify: Simplified to (cbrt (sin (/ (- lambda1 lambda2) 2))) * * * * [misc]progress: [ 34 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sin (/ (- lambda1 lambda2) 2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (pow (sin (/ (- lambda1 lambda2) 2)) 3) * [exit]simplify: Simplified to (pow (sin (/ (- lambda1 lambda2) 2)) 3) * * * * [misc]progress: [ 35 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sin (/ (- lambda1 lambda2) 2))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (sin (/ (- lambda1 lambda2) 2))) * [exit]simplify: Simplified to (sqrt (sin (/ (- lambda1 lambda2) 2))) * [enter]simplify: Simplifying (sqrt (sin (/ (- lambda1 lambda2) 2))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (sin (/ (- lambda1 lambda2) 2))) * [exit]simplify: Simplified to (sqrt (sin (/ (- lambda1 lambda2) 2))) * * * * [misc]progress: [ 36 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin (/ lambda1 2)) (cos (/ lambda2 2))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (* (sin (/ lambda1 2)) (cos (/ lambda2 2))) * [exit]simplify: Simplified to (* (sin (/ lambda1 2)) (cos (/ lambda2 2))) * [enter]simplify: Simplifying (* (cos (/ lambda1 2)) (sin (/ lambda2 2))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (* (cos (/ lambda1 2)) (sin (/ lambda2 2))) * [exit]simplify: Simplified to (* (cos (/ lambda1 2)) (sin (/ lambda2 2))) * * * * [misc]progress: [ 38 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sin (/ (- lambda1 lambda2) 2))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (log (sin (/ (- lambda1 lambda2) 2))) * [exit]simplify: Simplified to (log (sin (/ (- lambda1 lambda2) 2))) * * * * [misc]progress: [ 40 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sin (/ (- lambda1 lambda2) 2))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (exp (sin (/ (- lambda1 lambda2) 2))) * [exit]simplify: Simplified to (exp (sin (/ (- lambda1 lambda2) 2))) * * * * [misc]progress: [ 41 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sin (/ (- lambda1 lambda2) 2))) (cbrt (sin (/ (- lambda1 lambda2) 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* (cbrt (sin (/ (- lambda1 lambda2) 2))) (cbrt (sin (/ (- lambda1 lambda2) 2)))) * [exit]simplify: Simplified to (* (cbrt (sin (/ (- lambda1 lambda2) 2))) (cbrt (sin (/ (- lambda1 lambda2) 2)))) * [enter]simplify: Simplifying (cbrt (sin (/ (- lambda1 lambda2) 2))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (cbrt (sin (/ (- lambda1 lambda2) 2))) * [exit]simplify: Simplified to (cbrt (sin (/ (- lambda1 lambda2) 2))) * * * * [misc]progress: [ 42 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sin (/ (- lambda1 lambda2) 2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (pow (sin (/ (- lambda1 lambda2) 2)) 3) * [exit]simplify: Simplified to (pow (sin (/ (- lambda1 lambda2) 2)) 3) * * * * [misc]progress: [ 43 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sin (/ (- lambda1 lambda2) 2))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (sin (/ (- lambda1 lambda2) 2))) * [exit]simplify: Simplified to (sqrt (sin (/ (- lambda1 lambda2) 2))) * [enter]simplify: Simplifying (sqrt (sin (/ (- lambda1 lambda2) 2))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (sin (/ (- lambda1 lambda2) 2))) * [exit]simplify: Simplified to (sqrt (sin (/ (- lambda1 lambda2) 2))) * * * * [misc]progress: [ 44 / 44 ] simplifiying candidate # * * * [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 lambda1 +inf.0)) , with alts (#) * [enter]simplify: Simplifying (* (cbrt (sin (/ (- lambda1 lambda2) 2))) (cbrt (sin (/ (- lambda1 lambda2) 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* (cbrt (sin (/ (- lambda1 lambda2) 2))) (cbrt (sin (/ (- lambda1 lambda2) 2)))) * [exit]simplify: Simplified to (* (cbrt (sin (/ (- lambda1 lambda2) 2))) (cbrt (sin (/ (- lambda1 lambda2) 2)))) * [enter]simplify: Simplifying (cbrt (sin (/ (- lambda1 lambda2) 2))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (cbrt (sin (/ (- lambda1 lambda2) 2))) * [exit]simplify: Simplified to (cbrt (sin (/ (- lambda1 lambda2) 2))) * [enter]simplify: Simplifying (* (sin (/ lambda1 2)) (cos (/ lambda2 2))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (* (sin (/ lambda1 2)) (cos (/ lambda2 2))) * [exit]simplify: Simplified to (* (sin (/ lambda1 2)) (cos (/ lambda2 2))) * [enter]simplify: Simplifying (* (cos (/ lambda1 2)) (sin (/ lambda2 2))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (* (cos (/ lambda1 2)) (sin (/ lambda2 2))) * [exit]simplify: Simplified to (* (cos (/ lambda1 2)) (sin (/ lambda2 2))) * [enter]simplify: Simplifying (* (cbrt (sin (/ (- lambda1 lambda2) 2))) (cbrt (sin (/ (- lambda1 lambda2) 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* (cbrt (sin (/ (- lambda1 lambda2) 2))) (cbrt (sin (/ (- lambda1 lambda2) 2)))) * [exit]simplify: Simplified to (* (cbrt (sin (/ (- lambda1 lambda2) 2))) (cbrt (sin (/ (- lambda1 lambda2) 2)))) * [enter]simplify: Simplifying (cbrt (sin (/ (- lambda1 lambda2) 2))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (cbrt (sin (/ (- lambda1 lambda2) 2))) * [exit]simplify: Simplified to (cbrt (sin (/ (- lambda1 lambda2) 2))) * [enter]simplify: Simplifying (sqrt (sin (/ (- lambda1 lambda2) 2))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (sin (/ (- lambda1 lambda2) 2))) * [exit]simplify: Simplified to (sqrt (sin (/ (- lambda1 lambda2) 2))) * [enter]simplify: Simplifying (sqrt (sin (/ (- lambda1 lambda2) 2))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (sin (/ (- lambda1 lambda2) 2))) * [exit]simplify: Simplified to (sqrt (sin (/ (- lambda1 lambda2) 2))) * [enter]simplify: Simplifying (* R (* 2 (atan2 (sqrt (+ (pow (- (* (sin (/ phi1 2)) (cos (/ phi2 2))) (* (cos (/ phi1 2)) (sin (/ phi2 2)))) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (- (* 1/2 lambda1) (+ (* 1/48 (pow lambda1 3)) (* 1/2 lambda2)))))) (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (81 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * * [misc]simplify: iters left: 2 (155 enodes) * * [misc]simplify: iters left: 1 (167 enodes) * [exit]simplify: Simplified to (* (+ R R) (atan2 (sqrt (+ (* (- (* (cos (/ phi2 2)) (sin (/ phi1 2))) (* (sin (/ phi2 2)) (cos (/ phi1 2)))) (- (* (cos (/ phi2 2)) (sin (/ phi1 2))) (* (sin (/ phi2 2)) (cos (/ phi1 2))))) (* (* (sin (/ (- lambda1 lambda2) 2)) (* (cos phi1) (cos phi2))) (- (- (* 1/2 lambda1) (* (* 1/48 lambda1) (* lambda1 lambda1))) (* 1/2 lambda2))))) (sqrt (- (* (cos (/ (- phi1 phi2) 2)) (cos (/ (- phi1 phi2) 2))) (* (* (cos phi2) (sin (/ (- lambda1 lambda2) 2))) (* (cos phi1) (sin (/ (- lambda1 lambda2) 2)))))))) * [enter]simplify: Simplifying (sin (/ (- lambda1 lambda2) 2)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (sin (/ (- lambda1 lambda2) 2)) * [exit]simplify: Simplified to (sin (/ (- lambda1 lambda2) 2)) * [enter]simplify: Simplifying (* (cbrt (sin (/ (- phi1 phi2) 2))) (cbrt (sin (/ (- phi1 phi2) 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* (cbrt (sin (/ (- phi1 phi2) 2))) (cbrt (sin (/ (- phi1 phi2) 2)))) * [exit]simplify: Simplified to (* (cbrt (sin (/ (- phi1 phi2) 2))) (cbrt (sin (/ (- phi1 phi2) 2)))) * [enter]simplify: Simplifying (cbrt (sin (/ (- phi1 phi2) 2))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (cbrt (sin (/ (- phi1 phi2) 2))) * [exit]simplify: Simplified to (cbrt (sin (/ (- phi1 phi2) 2))) * [enter]simplify: Simplifying (* (cbrt (sin (/ (- phi1 phi2) 2))) (cbrt (sin (/ (- phi1 phi2) 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* (cbrt (sin (/ (- phi1 phi2) 2))) (cbrt (sin (/ (- phi1 phi2) 2)))) * [exit]simplify: Simplified to (* (cbrt (sin (/ (- phi1 phi2) 2))) (cbrt (sin (/ (- phi1 phi2) 2)))) * [enter]simplify: Simplifying (cbrt (sin (/ (- phi1 phi2) 2))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (cbrt (sin (/ (- phi1 phi2) 2))) * [exit]simplify: Simplified to (cbrt (sin (/ (- phi1 phi2) 2))) * [enter]simplify: Simplifying (* R (* 2 (atan2 (sqrt (+ (pow (sin (* 1/2 (- (/ 1 phi1) (/ 1 phi2)))) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (97 enodes) * [exit]simplify: Simplified to (* (+ R R) (atan2 (sqrt (+ (* (sin (* (- (/ 1 phi1) (/ 1 phi2)) 1/2)) (sin (* (- (/ 1 phi1) (/ 1 phi2)) 1/2))) (* (* (sin (/ (- lambda1 lambda2) 2)) (cos phi2)) (* (sin (/ (- lambda1 lambda2) 2)) (cos phi1))))) (sqrt (- (* (cos (/ (- phi1 phi2) 2)) (cos (/ (- phi1 phi2) 2))) (* (* (sin (/ (- lambda1 lambda2) 2)) (cos phi2)) (* (sin (/ (- lambda1 lambda2) 2)) (cos phi1))))))) * [enter]simplify: Simplifying (sqrt (sin (/ (- phi1 phi2) 2))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (sin (/ (- phi1 phi2) 2))) * [exit]simplify: Simplified to (sqrt (sin (/ (- phi1 phi2) 2))) * [enter]simplify: Simplifying (sqrt (sin (/ (- phi1 phi2) 2))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (sin (/ (- phi1 phi2) 2))) * [exit]simplify: Simplified to (sqrt (sin (/ (- phi1 phi2) 2))) * [enter]simplify: Simplifying (sin (/ (- phi1 phi2) 2)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (sin (/ (- phi1 phi2) 2)) * [exit]simplify: Simplified to (sin (/ (- phi1 phi2) 2)) * [enter]simplify: Simplifying (* R (* 2 (atan2 (sqrt (+ (pow (- (* (sin (/ phi1 2)) (cos (/ phi2 2))) (* (cos (/ phi1 2)) (sin (/ phi2 2)))) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (* 1/2 (- (/ 1 lambda2) (/ 1 lambda1))))))) (sqrt (- 1 (+ (pow (- (* (sin (/ phi1 2)) (cos (/ phi2 2))) (* (cos (/ phi1 2)) (sin (/ phi2 2)))) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (137 enodes) * [exit]simplify: Simplified to (* (+ R R) (atan2 (sqrt (+ (* (* (sin (/ (- lambda1 lambda2) 2)) (* (cos phi1) (cos phi2))) (sin (* 1/2 (- (/ 1 lambda2) (/ 1 lambda1))))) (* (- (* (cos (/ phi2 2)) (sin (/ phi1 2))) (* (sin (/ phi2 2)) (cos (/ phi1 2)))) (- (* (cos (/ phi2 2)) (sin (/ phi1 2))) (* (sin (/ phi2 2)) (cos (/ phi1 2))))))) (sqrt (- (- 1 (* (- (* (cos (/ phi2 2)) (sin (/ phi1 2))) (* (sin (/ phi2 2)) (cos (/ phi1 2)))) (- (* (cos (/ phi2 2)) (sin (/ phi1 2))) (* (sin (/ phi2 2)) (cos (/ phi1 2)))))) (* (sin (/ (- lambda1 lambda2) 2)) (* (sin (/ (- lambda1 lambda2) 2)) (* (cos phi1) (cos phi2)))))))) * [enter]simplify: Simplifying (exp (sin (/ (- lambda1 lambda2) 2))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (exp (sin (/ (- lambda1 lambda2) 2))) * [exit]simplify: Simplified to (exp (sin (/ (- lambda1 lambda2) 2))) * [enter]simplify: Simplifying (* R (* 2 (atan2 (sqrt (+ (pow (- (* (sin (/ phi1 2)) (cos (/ phi2 2))) (* (cos (/ phi1 2)) (sin (/ phi2 2)))) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) (sqrt (- 1 (+ (pow (- (* (sin (/ phi1 2)) (cos (/ phi2 2))) (* (cos (/ phi1 2)) (sin (/ phi2 2)))) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (* 1/2 (- (/ 1 lambda1) (/ 1 lambda2))))))))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (131 enodes) * [exit]simplify: Simplified to (* (+ R R) (atan2 (sqrt (+ (* (sin (/ (- lambda1 lambda2) 2)) (* (sin (/ (- lambda1 lambda2) 2)) (* (cos phi1) (cos phi2)))) (* (- (* (cos (/ phi2 2)) (sin (/ phi1 2))) (* (sin (/ phi2 2)) (cos (/ phi1 2)))) (- (* (cos (/ phi2 2)) (sin (/ phi1 2))) (* (sin (/ phi2 2)) (cos (/ phi1 2))))))) (sqrt (- (- 1 (* (- (* (cos (/ phi2 2)) (sin (/ phi1 2))) (* (sin (/ phi2 2)) (cos (/ phi1 2)))) (- (* (cos (/ phi2 2)) (sin (/ phi1 2))) (* (sin (/ phi2 2)) (cos (/ phi1 2)))))) (* (* (sin (/ (- lambda1 lambda2) 2)) (* (cos phi1) (cos phi2))) (sin (* 1/2 (- (/ 1 lambda1) (/ 1 lambda2))))))))) * [enter]simplify: Simplifying (exp (sin (/ (- lambda1 lambda2) 2))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (exp (sin (/ (- lambda1 lambda2) 2))) * [exit]simplify: Simplified to (exp (sin (/ (- lambda1 lambda2) 2))) * [enter]simplify: Simplifying (* R (* 2 (atan2 (sqrt (+ (pow (- (* 1/2 phi1) (+ (* 1/48 (pow phi1 3)) (* 1/2 phi2))) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) (sqrt (- 1 (+ (pow (sin (/ (- phi1 phi2) 2)) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (118 enodes) * * [misc]simplify: iters left: 1 (125 enodes) * [exit]simplify: Simplified to (* (+ R R) (atan2 (sqrt (+ (* (sin (/ (- lambda1 lambda2) 2)) (* (sin (/ (- lambda1 lambda2) 2)) (* (cos phi1) (cos phi2)))) (* (- (- (* 1/2 phi1) (* (* phi1 phi1) (* phi1 1/48))) (* phi2 1/2)) (- (- (* 1/2 phi1) (* (* phi1 phi1) (* phi1 1/48))) (* phi2 1/2))))) (sqrt (- (* (cos (/ (- phi1 phi2) 2)) (cos (/ (- phi1 phi2) 2))) (* (sin (/ (- lambda1 lambda2) 2)) (* (sin (/ (- lambda1 lambda2) 2)) (* (cos phi1) (cos phi2)))))))) * [enter]simplify: Simplifying (sin (/ (- phi1 phi2) 2)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (sin (/ (- phi1 phi2) 2)) * [exit]simplify: Simplified to (sin (/ (- phi1 phi2) 2)) * [enter]simplify: Simplifying (* (sin (/ lambda1 2)) (cos (/ lambda2 2))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (* (sin (/ lambda1 2)) (cos (/ lambda2 2))) * [exit]simplify: Simplified to (* (sin (/ lambda1 2)) (cos (/ lambda2 2))) * [enter]simplify: Simplifying (* (cos (/ lambda1 2)) (sin (/ lambda2 2))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (* (cos (/ lambda1 2)) (sin (/ lambda2 2))) * [exit]simplify: Simplified to (* (cos (/ lambda1 2)) (sin (/ lambda2 2))) * [enter]simplify: Simplifying (* R (* 2 (atan2 (sqrt (+ (pow (- (* (sin (/ phi1 2)) (cos (/ phi2 2))) (* (cos (/ phi1 2)) (sin (/ phi2 2)))) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))) (sqrt (- 1 (+ (pow (sin (* 1/2 (- (/ 1 phi1) (/ 1 phi2)))) 2) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (102 enodes) * [exit]simplify: Simplified to (* (atan2 (sqrt (+ (* (sin (/ (- lambda1 lambda2) 2)) (* (sin (/ (- lambda1 lambda2) 2)) (* (cos phi1) (cos phi2)))) (* (- (* (cos (/ phi2 2)) (sin (/ phi1 2))) (* (sin (/ phi2 2)) (cos (/ phi1 2)))) (- (* (cos (/ phi2 2)) (sin (/ phi1 2))) (* (sin (/ phi2 2)) (cos (/ phi1 2))))))) (sqrt (- (* (cos (* 1/2 (- (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (- (/ 1 phi1) (/ 1 phi2))))) (* (sin (/ (- lambda1 lambda2) 2)) (* (sin (/ (- lambda1 lambda2) 2)) (* (cos phi1) (cos phi2))))))) (+ R R))